Categories
Economist Market Gender Harvard Statistics

Harvard. Placement suggestions Philip G. Wright or Anne C. Bezanson for Bryn Mawr, 1916

 

The archival artifact that begins this post is a straight-forward response to a letter requesting possible leads for a junior faculty appointment in statistics at Bryn Mawr. It was written by Harvard assistant professor of economics Edmund Ezra Day (who would later go on to be the president of Cornell University–see link below) to a historian colleague at Bryn Mawr who had likewise done his graduate work at Harvard.

Two persons were identified by Day as eligible candidates, the Radcliffe graduate Anne C. Bezanson (about whom more can be found in an earlier post dedicated to her remarkable career) and a 54 (!) year-old economics graduate student Philip Green Wright. It turns out that Wright (with some collaboration with his son, the statistical geneticist Sewall Wright) is the rightly celebrated discoverer of instrumental-variables estimation. Relevant links to the story of Philip Green Wright and instrumental variables, including those to presentation materials as well as videos from a Tufts University Celebration of the 150th anniversary of Philip Green Wright’s birth,  will be found below after Day’s letter.

There appears no expression of irony when Day writes “…if you are ready to appoint a woman, it will repay you to consider Miss Bezanson carefully”.  Bryn Mawr was after all one of the so-called “Seven Sisters” (the Ivy League of women’s colleges).

________________________

Copy of Reference Letter from E. E. Day (Harvard) to H. L. Gray (Bryn Mawr)
re: Philip Wright and Anne C. Bezanson

March 21, 1916

Dear Howard,

Your recent letter was most welcome despite its obviously professional intent and largely professional content! I am glad to learn that you find life bearable in Bryn Mawr. That will serve as a preliminary report; in time I expected more exciting and promising announcement!

Regarding candidates for the new position in prospect in your department, I find it difficult to write anything at all definite. [John Valentine] Van Sickle is hardly available yet; he is still a couple of years from his degree and will probably not go out until he can take his Ph.D. with him. Furthermore, there is every prospect that, when he is fully prepared, he will command substantially more than the $1200 you mention.

The two students who would seem to be eligible for the position you describe are Philip G. Wright, rather an instructor than a student, and (if you would consider a woman), Miss Annie C. Bezanson. Neither holds the doctor’s degree, but both are very thoroughly capable students. Both are entirely capable of giving the instruction in statistics. Wright is a man well along in years, who for twenty-odd years taught mathematics and economics at Lombard College, Illinois, and, despite that fact, retains his intellectual vitality remarkably. He is perhaps a bit lacking in aggressiveness in classrooms, but is none-the-less an effective instructor. (You would probably have to pay $2000 to get him)

Miss Bezanson is a Radcliffe student whom I have had in both the elementary theory and graduate statistics courses. In the latter, last year, she did “A” work. She comes this year for her “generals “and any recommendation would be conditional upon her passing the examination credibly; but the staff expects her to pass with a large margin. It seems to me that, if you are ready to appoint a woman, it will repay you to consider Miss Bezanson carefully. Prof. [Frank] Taussig will write further details regarding both Wright and Miss Bezanson if you are interested. [Edwin Francis] Gay, too, has seen a good deal of Miss Bezanson’s work.

Let me know if I can be of further assistance to you, Howard. Mrs. Day joins me in warm regards.

Cordially yours,

[copy unsigned, Edmund Ezra Day]

Professor Howard L. Gray

 

Source: Harvard University Archives. Department of Economics, Correspondence and Papers 1930-1961 and some earlier. Boxt 26, Williams–Young. Folder “Wright, Philip Green”.

 

______________________

Biographical sketch of Philip Green Wright

“At Lombard, Philip taught economics, mathematics (including calculus), astronomy, fiscal history, writing, literature and physical education; he also ran the college printing press. Philip had a passion for poetry and used the press to publish the first books of poems by a particularly promising student of his, Carl Sandburg….

“…In 1912, Philip and Sewall [Philip’s son, a statistical geneticist] moved to Massachusetts. Philip took a visiting position teaching at Williams College, and Sewall entered graduate school at Harvard. In 1913, Philip took a position at Harvard, first as an assistant to his former advisor, Professor Frank W. Taussig, then as an instructor. Taussig was subsequently appointed head of the U.S. Tariff Commission in Washington, D.C. In 1917, Philip left Harvard for a position at the Commission, then in 1922 took a research job at the Institute of Economics, part of what would shortly become the Brookings Institution….

“…While at Harvard, in addition to his 1915 review of Moore’s book, he wrote a number of articles in the Quarterly Journal of Economics, and while at Brookings, he wrote several books and published articles and reviews in the Journal of the American Statistical Association, the Journal of Political Economy and the American Economic Review. Some of his writings used algebra and calculus, typically following graphical expositions. Although Philip wrote on a wide range of topics, the identification problem was a recurrent theme in his work (P. G. Wright, 1915, 1929, 1930). In his later years, Philip was particularly concerned about tariffs, and he wrote passionately about the damage being done by recent tariff increases to international relations (P. G. Wright, 1933).

“…In our view, this evidence points toward Philip as being both the author of Appendix B and the man who first solved the identification problem, first showed the role of “extra factors” in that solution and first derived an explicit formula for the instrumental variable estimator. Yet, as historians of econometrics like Christ (1985) and Morgan (1990) point out, a greater mystery remains: Why was the breakthrough in Appendix B ignored by the econometricians of the day, only to be reinvented two decades later?”

Source: James H. Stock and Francesco Trebbi. “Who Invented Instrumental Variable Regression?Journal of Economic Perspectives. Vol. 17, No. 3 (Summer, 2003), pp. 177-194.

______________________

Three Worthwhile Links

Philip G. Wright, The Tariff on Animal and Vegetable Oils, 1928.

Philip Green Wright’s c.v.

James Stock’s webpage: “The History of IV Regression”.

______________________

Philip Green Wright, Double Jumbo and Inventor of IV Regression
Sesquicentennial of the birth of Philip G. Wright
Tufts University Economics Department, October 3, 2011

Presentations

James Stock’s slides “Philip Green Wright, the Identification Problem in Econometrics, and its Solution“.

Joshua D. Angrist’s slides “Instrumental Variables in Action“.

Kerry Clark’s slides “Philip and Sewall Wright: The Invention of Instrumental Variables Regression“.

Remembrances” by Philip Green Wright’s Grandchildren.

Video of the event
(Warning: poor audio)

Part 1:  https://www.youtube.com/watch?v=INbip-UFluo

Opening remarks by Chairman of the Tufts economics department: Professor Enrico Spolaore
Welcome by the President of Tufts University. Anthony Monaco
James Stock begins at 8:20

Part2:  https://www.youtube.com/watch?v=UvcfNk7rBn0

James Stock continues up to 9:20
Kerry Clark (AB Economics, Harvard 2012) begins at 10:30 [Ms. Clark’s other Harvard activities: Women’s Varsity Lacrosse, Center for History and Economics, Quincy Grille Manager, and Harvard University Women in Business. According to Linked In, she works at Citi)

Part 3: https://www.youtube.com/watch?v=4NWWCRaj4_Q

Kerry Clark continues to 5:20
Joshua Angrist begins at 7:30

Part 4: https://www.youtube.com/watch?v=Sp7g-L69MNU

Joshua Angrist continues for entire part 4

Part 5 https://www.youtube.com/watch?v=B3BPifHzex4

Brief Q&A
Grandchildren remember from 7:45 to 22.30

Image: Portrait of Philip G. Wright from James Stock presentation

 

Categories
Race Sociology Statistics

Atlanta University. W.E.B. Dubois’ choice of economics and sociology textbooks, 1897-98

 

This post follows up the previous one that reports the economics textbooks used at Fisk University in Nashville, Tenn. at the time W. E. B. Du Bois was an undergraduate. Artifacts transcribed below highlight the “sociological turn” taken by Du Bois upon his appointment to a professorship in economics at history at Atlanta University after he obtained his Harvard Ph.D. in political science for a dissertation on the history of the slave trade.

As can be seen in the department descriptions  for 1896-97 and 1897-98, the name of the department of instruction was changed from “Political Science and History” to “Sociology and History” in the first year that Du Bois was included among the faculty of Atlanta University. Du Bois’ research on “Negro problems” would have been unduly restricted if conducted within the methodology of economics of his time (or ours for that matter) which we can see must have been a factor that pushed him to the broader perspective offered by the sociology of his time with its emphasis on empirical material and statistical methods.

A relevant artifact here is the library card issued to W. E. B. Du Bois by the Royal Prussian Statistical Bureau in 1893 during his time as a student in Berlin.

Source:  University of Massachusetts Amherst. Special Collections and University Archives. W. E. B. Du Bois papers, Series 1A. General Correspondence. Bücherzammlung [sic] des königlich preussischen statistischen Bureaus zu Berlin, Zulassungscarte.  

__________________

VI. POLITICAL AND SOCIAL SCIENCE AND HISTORY.
[1896-97, Du Bois not yet listed as a member of the faculty]

It is intended to develop this department more fully, especially along the line of Sociology. Interest has been awakened throughout the country in the annual conferences held at Atlanta University in May — the first in 1896 — concerning problems in city life among the colored population. The library will soon be rich in books pertaining to Sociology.

As it now stands, the work of this department is as follows:

Political Science. Dole’s American Citizen, studied during the first year of the Normal and Preparatory courses, gives to our younger students an excellent introduction to this department. Civil Government in the Senior Normal year, and Civil Liberty in the Junior College, enrich this department still more; while International Law in the Senior year introduces the student to the principles underlying many burning questions of the day.

Economics. During Senior year Walker’s Political Economy, and White’s Money and Banking, also introduce the student to important national questions.

History, General and United States, is studied in the second and third years of the Normal course; while the College students have Guizot’s History of Civilization. For Greek History in the College, see Greek.

 

Source:  Catalogue of the Officers and Students of Atlanta University, 1896-97p. 31,

__________________

W. E. Burghardt DuBois, Ph.D., Professor of Economics and History

VII. SOCIOLOGY AND HISTORY.
[1897-98]

It is intended to develop this department not only for the sake of the mental discipline but also in order to familiarize our students with the history of nations and with the great economic and social problems of the world, so that they may be able to apply broad and careful knowledge to the solving of the many intricate social questions affecting their own people. The department aims therefore at training in good intelligent citizenship, at a thorough comprehension of the chief problems of wealth, work and wages; and at a fair knowledge of the objects and methods of social reform. The following courses are established:

Citizenship. In the Junior Preparatory and Junior Normal classes Dole’s American Citizen is studied as an introduction. The Normal classes follow this by Fiske’s Civil Government in the Senior year, while Political Science has an important place in the Junior College year.

Wealth, Work and Wages. Some simple questions in this field are treated in the Junior Preparatory year, and the science of Economics is taken up in the Junior College year.

Social Reforms. Three terms of the Senior year are given to Sociology; the first term to a general study of principles, the second term to a general survey of social conditions, and the third term to a study of the social and economic condition of the American Negro, and to methods of reform.

In addition to this, graduate study of the social problems in the South by the most approved scientific methods, is carried on by the Atlanta Conference, composed of graduates of Atlanta, Fisk, and other institutions. The aim is to make Atlanta University the centre of an intelligent and thorough-going study of the Negro problems. Two reports of the Conference have been published, and a third is in preparation.

History. General and United States History are studied in the second and third years of the Normal course. Ancient history is taken in connection with the Ancient Languages and Bible study. Modern European history is studied in the Sophomore year; and some historical work is done in connection with other courses.

The library contains a good working collection of treatises in History and Sociology.

 

Source:  Catalogue of the Officers and Students of Atlanta University, 1897-98p. 4, 13.

__________________

Textbooks assigned in Economics and Sociology
[1898-99]

Junior year Economics. Fall term.  Hadley. (Economics)

Senior year Sociology. Fall term. Mayo-Smith (Statistics and Sociology).

 

Source:  Catalogue of the Officers and Students of Atlanta University, 1898-99.

 

Economics
[Fisk University, Junior Year College textbook]

Arthur Twining Hadley. Economics. An Account of the Relations Between Private Property and Public Welfare. New York: G. P. Putnam’s Sons, 1896.

Economics I. A Summary of Hadley’s EconomicsCopyright Edw. W. Wheeler. Cambridge, Mass.: E. W. Wheeler, Printer, 1898. 53 pages.   “A convenient hand-book for preparing the weekly written questions and all examinations…with an appendix containing suggestive topics for review.” [included in this post as a  study guide]

Sociology and Statistics
[Fisk University, Senior Year College textbook]

“The present volume is issued as Part I. of a systematic Science of Statistics, and is intended to cover what is ordinarily termed Population Statistics…”

Mayo-Smith, Richmond. Statistics and Sociology. New York: Macmillan, 1895.

[Note:  Mayo-Smith later published the second part of his systematic Science of Statistics as…]

“Part II., Statistics and Economics [covers] the statistics of commerce, trade, finance, and economic social life generally.
Mayo-Smith, Richmond. Statistics and Economics. New York: Macmillan, 1899.

 

Image Source: W.E.B. Du Bois Educational Series at Great Barrington” webpage at the Housatonic Heritage webpage.

Categories
Economist Market Johns Hopkins Statistics

Johns Hopkins. H.B. Adams invites Walter Willcox to enroll as PhD student, 1890

 

The Cornell statistician Walter Willcox received his Ph.D. from Columbia University for his dissertation on the statistics of divorce. What I find interesting in the following two letters from Professor Herbert B. Adams at Johns Hopkins University were the modest formal requirements to be awarded a Ph.D. at Johns Hopkins in 1890.

Willcox’s advanced coursework elsewhere would have been given full transfer credit (in today’s terms) so that a single year residence, dissertation, and presumably a final doctoral examination would have been necessary for him to receive the degree.

Also interesting is to read that all the Hopkins’ Ph.D.’s from the Department of History and Politics (included political economy) graduated in June had “good positions before the summer was over”.

______________

Johns Hopkins University,
Baltimore, Md., December 4, 1890.

My dear Mr. Willcox,

I have your letter of December 2 regarding your possible residence in Baltimore during the remainder of this year. Would it not be a good plan for you to secure our degree of Doctor of Philosophy? You have studied so long and under such good conditions that I should think you might easily obtain our degree by one year’s residence. You would then be in a much better position to obtain a good academic chair. Hopkins men are in constant request, at least in my Department of History and Politics. All of our eight doctors graduated last June obtained good positions before the summer was over. One of our former students who went to Heidelberg and took his degree has now returned to Baltimore and is waiting for a job. Only day before yesterday I was able to put two wandering trustees into communication with this young candidate and I hope the interview will result in his appointment to a professorship of history in a Western college.

You ought to make a combination of history, philosophy, and political science. Our requirements for the degree of Doctor of Philosophy embrace three years of strictly university work. The last of the three must be spent in residence. Perhaps you have already taken a doctor’s degree and I am talking into the air. In any case I think residence here for a few months would very much help your academic prospects.

Very sincerely yours,
[signed]
H. B. Adams

______________

Johns Hopkins University,
Baltimore, Md., December 13, 1890.

Walter F. Willcox, Esq.,
Walden, Mass.

My dear Mr. Willcox:

I have your letter of December 10, and note what you say regarding your thesis. Probably the best place for original investigation in this line of study is in the Department of Labor in Washington, D.C. I presume Col. Wright, the Commissioner of Labor would willingly afford you facilities for your work. I do not know that our library is especially rich in materials on the divorce question. You must apply to the head centre of information on that subject, Mr. Samuel Dike, Secretary of the Divorce Reform League. I presume you know him already.

Our second term begins in February. The cost of living here is about $35 a month. If you are going to take your doctor’s degree at Columbia it would hardly be expedient to enter as a regular student in our department. You had better come as a free lance and spend a good deal of your time in Washington. Enclosed please find a programme of the next meeting of the American Historical Association in the Federal City.

We have a recess at the Hopkins from the 24thof December to the 5thof January. It would be a very good thing for you to come to Washington, if you can afford it and attend the meetings of the Economic Association as well as the Historical and settle down in this part of the country for the rest of the year. I enclose a programme of the Economic Association.

Very cordially yours,
[unsigned]

Source:  U.S. Library of Congress, Manuscript Division. The Papers of Walter Willcox, Box 3, Folder: General Correspondence A-C

Image Source:Walter F. Willcox, ca. 1900-1910  . Cornell University Library. Digital Collections.

Categories
Chicago Curriculum Iowa Statistics

Chicago. Henry Simons argues for an undergraduate sequence of mathematics/statistics for economists, 1937

 

 

The letter below written by Henry Simons to Henry Schultz in 1937 is evidently a typed copy of what was originally a letter on official University of Chicago stationary. The typed header matches the printed header of University of Chicago stationary and there is no signature at the end.

Simons appears to be seeking Schultz’s support for the introduction of a “Mathematics for Economists” course into the undergraduate economics curriculum as well as for providing different courses for students who intend to go on to more advanced economics training versus the sort of survey courses that would constitute the entirety of the life-time economics education of non-econ-majors. An interesting aside: Simons problematized the lack of analytical preparation displayed by the students coming from Social Services Administration that he saw reducing the standards in the economics courses that they were required by their program to attend.

_____________________________

The University of Chicago
The Department of Economics

Memorandum to Members of the Department from Henry Schultz. July 8, 1937

The attached letter from Mr. Henry C. Simons might very well serve as a basis of discussion. It may be necessary to call a meeting to discuss this question before the quarter is over.

*  * *  *  *  *

THE UNIVERSITY OF CHICAGO
Department of Economics

June 4, 1937

Dear Mr. Schultz:

Out at Ames last week I heard about some plans of their economics department which made me very envious. They are getting ready to offer next year a sequence of three courses combining elementary mathematics and statistics; and they expect afterwards to make these courses prerequisites to their advanced (divisional) courses in economics. Moreover, they seem to be facing squarely the task (1) of providing a significant amount of training in the calculus, (2) of eliminating or cutting down those parts of the usual freshman mathematics which are of little use for their students, and (3) of mixing in with the formal mathematics perhaps as much statistics as is covered in a one-Quarter course.

If they carry out these plans, their students will soon be better prepared for substantial economics training than are even those few students here who complete Math. 104, 105, and 106—not to mention those who meet only our minimum requirement of one course in college mathematics. Meantime, nothing is being done to improve our situation here. Mrs. Logdon’s courses were a slight improvement over the old elementary mathematics; but they represent only a small beginning toward what might be done. The 104 course has its merits; but the two following courses, I gather, largely compensate for any departures from tradition which the first course involves. We still have not faced the fact that the traditional freshman mathematics, however suitable for students who will specialize in mathematics or physics, is very ill-suited to the needs of students going into other divisions or of those concluding their formal education at the college level.

I feel that we should face now the responsibility of providing a suitable minimum of training in mathematics, formal and applied, for all students in the College. Nothing can more easily be defended as a part of general education or as intellectual preparation for serious work in the Divisions. The need here might well be met by a three-course sequence of the kind which they are planning at Ames—although I am not competent to prescribe, or disposed to quarrel, about details. There are obvious advantages in mixing a certain amount of applied mathematics with the more formal training; and the fundamentals of statistics can be taught to best advantage only as mathematics and in the atmosphere of mathematics courses. As regards these fundamentals, there is no need for differentiation of courses according to divisions or departments—except possibly in the case of the physical sciences. With appropriate work in the College, divisional statistics courses in the various departments might then achieve their proper emphasis upon special applications in the special fields.

Our own Division probably could not now be induced to impose such a requirement for admission. Some departments would doubtless oppose it vigorously. This situation, however, does not argue against developing in the College the sequence of courses which would be most useful. If the proper courses were available, we could make them prerequisite for divisional work in economics; and, at the least, we could urge the advisers in the College to explain that students coming to us without such preparation would be somewhat handicapped on that account. Some other departments and divisions might go along with us. The Division of Biology certainly should do so; the School of Business and the Law School would probably cooperate eventually; and the School of Social Services Administration needs this sort of thing badly, both to protect their own standards and to guard us against the demoralization of standards which a large influx of their ill-prepared students can produce in the economics courses which they require.

It remains to point out that an important step could be taken now by our own department. Our announcements indicate that “Social Science II or equivalent” is prerequisite for divisional courses in economics. The policy here involved is, I believe, grossly mistaken. Instead of requiring this sequence, we should recommend against it in the case of students preparing for divisional work with us, or, at least, indicate clearly that the existing mathematics sequence is distinctly preferable as preparation. The typical student now gets a survey of social science in the first year, another in the second year, and still another (the five 201 courses) in the first two quarters of the third year. This represents an outrageous squandering of the student’s time, considering the alternatives actually sacrificed. Social Science II has perhaps a proper function; but it is not that of preparing students for divisional work. It may be appropriate to offer such a sequence for students who will enter other divisions and who will have no further work in social science fields. Our own students, however, should be getting more fundamental education—should be taking courses involving the more rigorous intellectual discipline in which their subsequent training will be somewhat  deficient.

If there be disagreement on some of these suggestions, there should be little opposition to my minimum proposal, namely, that Math. 106 be indicated in our announcements as a prerequisite alternative to Social Science II. Frankly, this is what it is in fact now, when I am acting as departmental counselor.

In passing, I will mention another suggestion which I have urged repeatedly in meetings and in memoranda. Something should be done to stop this concentrating of the 201 courses in the first two quarters of the student’s divisional work. These courses should not constitute merely another hurdle which students must get over before they are permitted to concentrate upon departmental courses. They should be spread throughout the last two years, as a continuing correction against narrow departmental specialization in outlook and interest—not studied hastily in a lump and forgotten.

The advisers in the College have finally discovered that Math. 104 is useful for students going into economics. They should all be told now to recommend105 and 106 as well and to suggest that good and serious students should be prepared to take at least some calculus after they leave the College (if not before). It is surprising how many of our seniors now complain bitterly because their College advisers failed to offer such suggestions.

I trust that some of these suggestions will seem to merit discussion.

Sincerely,

Henry C. Simons

 

Source: The University of Chicago Archives. Department of Economics. Records. Box 41, Folder 12.

Image Source: Henry Calvert Simons portrait at the University of Chicago Photographic Archive, apf1-07613, Special Collections Research Center, University of Chicago Library.
Henry Schultz from “[Photograph]: Henry Schultz 1893-1938.” Econometrica 7, no. 2 (1939).

Categories
Exam Questions Harvard Statistics

Harvard. Final Examination for topics in statistical theory. E.B. Wilson, 1938

 

Most course final examination questions at Harvard were officially printed, but for a variety of reasons some course final examinations questions were only duplicated using carbon paper or perhaps they were written on the black-board at the time of the examination. The Harvard archives collection of final examinations has boxes of the bound printed copies of final examinations and folders with the carbon or mimeographed copies of examinations for (some) of the other courses. We see from the enrollment data that there were only four graduate students enrolled in E. B. Wilson’s course on “Topics in Statistical Theory” so logistically it would have been no big deal for a secretary to type enough copies using carbon paper.  It appears to be the original copy of his examination questions for 1937-38 that I have transcribed for this post.

________________

Course Announcement

Economics 122b 2hf. (formerly 32b). Topics in Statistical Theory.
Half-course (second half-year). Tu., Th., 3 to 4.30. Professor E. B. Wilson.

 

Source:  Announcement of the Courses of Instruction Offered by the Faculty of Arts and Sciences during 1937-38 (First Edition). Official Register of Harvard University, Vol. 34, No. 5 (March 1, 1937), p. 149.

________________

Course Enrollment

[Economics] 1222hf. (formerly 32b). Professor E. B. Wilson.—Topics in Statistical Theory.

Total 4: 4 Graduates.

 

Source:  Harvard University. Report of the President of Harvard College for 1937-38, p. 86.

________________

Final Examination in Economics  122b2.
Wednesday June 8, 1938 at 2 P.M. in Amerson A

Students may individually use slide rules, logarithmic tables, books, notes, and their solutions of problems at their discretion.

  1. Why did Macaulay feel that he must include a twelve-months moving average as one process in his summation formula for smoothing monthly interest rates? Why did this make it advisable that he include another summation over an even number of elements?
  2. Prove that a running mean of a specified number of elements eliminates more of the random fluctuation from a time series than any other mean of the same number of elements.
  3. What does a 13-term running mean do to a sine curve with period of 40 (using the interval between terms as a unit)?
  4. Define a random series. Derive the relations which exist between the standard deviation of the random elements and the standard deviations of the 1st, 2nd, and 3rddifferences of those elements?
  5. What is the actuarial criterion of smoothness? What is the difficulty of using maximum smoothness as a criterion for smoothing a series?
  6. Assuming the expansion of \frac{x}{{{e}^{x}}-1} in a series with Bernoulli numbers as coefficients, derive formally the (asymptotic) expansion for \log n! or for \log \Gamma \left( n \right).
  7. What is the criterion of fidelity which is ordinarily imposed in graduating time series? Why is Spencer’s 21-term formula, which satisfies this criterion, used in place of that best 21-term eliminator or of that 21-term best smoother which satisfy this same criterion?
  8. Prove the ordinary formula for the standard deviation of a median.
  9. State R.A.Fisher’s method of finding the values of the constants (or parameters) of a frequency function of assumed type from the elements of a given sample. State also his rule for the standard deviations of the constants.
  10. Given any analytical frequency function with close contact at the ends, derive therefrom the expansion of another frequency function of the same mean and standard deviation good to fourth moments inclusive.
  11. Give a brief sketch of the symbolic method of treating advancing and retreating and central differences.
  12. Give an illustration of (a) a universe with median but no mean (b) another universe in which the median is a better criterion of center than the mean, (c) a universe in which the mean is a better criterion of center than the median, (d) a universe in which the average of the least and greatest elements of a sample is a better criterion of center than either the mean or the median. What do you mean by “a better criterion of center”?

 

Source:  Harvard University Archives. Final Examinations 1853-2001 (HUC 7000.28). Box 3, Folder “Final examinations, 1937-1938”.

Image Source:  Faculty portrait of of E. B. Wilson in Harvard Album 1939.

Categories
Columbia Computing Statistics

Columbia. Statistician Robert Chaddock and his Statistical Laboratory, 1912

 

 

The Statistical Laboratory at Columbia University in the second decade of the 20th century was run by the young assistant/associate professor, Robert E. Chaddock. An earlier post provided Chaddock’s 1911 request for equipment and literature for the Statistical Laboratory along with information about the calculating machines being considered and included a newspaper account of his suicide in 1940. From Professor Seligman’s papers I include today a recommendation for a promotion in rank for Robert E. Chaddock and his 1912 request for more equipment and literature. It is interesting to read that a Mannheim slide rule cost $10 in 1912. Finally from a letter from 1913, we can see that Brunsviga electric “Millionaire” must have been ordered for the Statistical Laboratory (cost $520).

_______________

Recommendation of promotion to rank of associate professor for Robert E. Chaddock
[Copy of letter to President Butler from Professor E.R.A. Seligman]

March 30, 1912

Nicholas Murray Butler, LL.D.,
President, Columbia University,
New York.

My dear President Butler:-

Referring to our conversation of the other day, I should like to bring before you more formally the matter of Professor Chaddock.

Professor Chaddock is at present assistant professor of Statistics on the Barnard Foundation, at a salary of $2,500. His work during the year as head of the Statistical Laboratory has been exceedingly fine. The Laboratory has now become a busy hive of industry at almost any time of the day or night, and Professor Chaddock has been no less successful a teacher than he has been a director.

So successful has his work been as to have attracted attention in various quarters. The New York School of Philanthropy, together with the Sage Foundation, proposes to start a comprehensive scheme of statistical investigation into social problems and on looking over the whole country decided on Professor Chaddock as by all means the best man. They have, therefore, offered him the position of head of that investigation at a salary of $1,500 in advance of what he is getting at Columbia and with all the assistance and possibilities of European travel that might be needed. After carefully considering this proposition he has finally decided to remain at Columbia on the understanding that his salary would be increased to $3,000 and with no further obligation on the part of the Department or of anyone else, except the general understanding that he will take his chance of gradual promotion with the other members of the Department as opportunity offers.

The $500 addition to his salary has been made possible by the School of Journalism. Professor Chaddock will give a one-term course in Statistics to the third year men, for which the budget in the School of Journalism appropriates the sum of $500.

The Department deems itself exceedingly fortunate in being able to keep Professor Chaddock on these terms. But precisely because he made no other conditions and because of the fine spirit manifested by him, as a married man with a family, in being willing to make this considerable financial sacrifice, we feel that we ought to do our utmost possible for him. Our proposition is that his title be changed from assistant professor to associate professor.

When Professor Chaddock was called to Columbia he was offered a full professorship at the University of Pennsylvania, but he preferred to come to Columbia. He would naturally have been given an associate professorship, which he fully deserved, but unfortunately the financial adjustments which were made by Barnard College on the resignation of Professor Clark left only $2,500 available for his salary, and under the circumstances we were compelled to offer him an assistant professorship. Now that this financial difficulty has been removed, we respectfully suggest that the spirit rather than the letter of the rule be observed and that Professor Chaddock be given the title which he would surely have received originally had it not been for this financial complication. The Department feels that not only from every point of view is Professor Chaddock worthy of an associate professorship but wishes especially to emphasize the desirability of rewarding his loyalty and the fine spirit that he has displayed in staying by us. We feel that with Professor Moore to represent the theoretical side and Professor Chaddock to represent the sound, common sense, practical side, there is no reason why the Statistical Laboratory of Columbia should not very soon become a unique institution of its kind in this country. If for no other reason than that, Professor Chaddock, as the director of the Laboratory, ought to have a title corresponding to the dignity of his position.

All of which is respectfully submitted.

[presumably E.R.A. Seligman]

_______________

Chaddock’s Additional Budgetary Request for his Statistical Laboratory

Columbia University
in the City of New York
Faculty of Political Science

April 19, 1912

Professor E. R. A. Seligman
Columbia University

My dear Professor Seligman:-

At your suggestion I am describing the most pressing needs for our statistical laboratory for the coming year. As you know, the equipment has been in pretty constant use during the past year and the effort has been made to divide the group into laboratory sections of from 6 to 10 persons in order that all might have a chance to learn the use of the mechanical devices by which the statistician makes his work possible, i.e., the Burroughs Adding Machines, the Brunsviga Calculating Machines, the graphic devices of various sorts, and the calculating tables.

With the added courses in the School of Journalism and the School of Commerce which we are undertaking for next year and the increasing use of our equipment by our graduate students, it has seemed to me that our numbers using the laboratory at one time will be larger and our present equipment will be quite inadequate.

We have one set each of tables of squares and cubes and tables (Crelle’s) for multiplication. We have no drawing set, no drawing crayon, and only 2 slide rules. I suggest the following additions, in order that a group may be kept working at the same time to better advantage.

 

10 copies Barlow’s tables of squares, etc. @ $2.50

$25.00

10 copies J. Peters’ Neue Rechentafeln for multiplication—English introduction–@15 m.

$30.00

1 Drawing set,

$20.00

Drawing crayons for graphic and map work

$10.00

3 Mannheim slide rules for calculating

$30.00

In addition, I am very anxious to see one more calculating machine added to our equipment which will do all four operations. Thus, adding one machine at a time we shall be able gradually to build up such a mechanical equipment as will enable our students to do their statistical calculations with facility and put their thesis and other statistical work in the best possible form. We have now 3 Brunsviga Machines which do all the operations but there are machines that do multiplication and division with more facility. I suggest an electric “Ensign” machine at $450. or the long tested “Millionaire” at $375. or electric “Millionaire” at $520. The selection of one of these three would be only after careful testing in our laboratory for our particular needs, altho the “Millionaire” is widely used in statistical laboratories, government offices, and insurance companies, and the “Ensign” is a Boston machine meeting with rapid adoption.

I make these suggestions only after the most careful consideration and information by correspondence with other laboratories and persons doing statistical training work, and in view of the added burdens to be placed next year upon the laboratory facilities.

Very truly yours,
[signed]
Rob’t E. Chaddock.

_______________

Approval of Chaddock’s Budgetary Increase

Columbia University
in the City of New York
Faculty of Political Science

May 6, 1912

Dear Prof. Seligman:

Thank you for sending me President Butler’s letter. It pleases me more than I can say to have our laboratory work thus recognized. It is due to your untiring interest in every detail of our whole department’s work, and for your care over my end of the work I wish to thank you very cordially.

I shall try to see that the added appropriation is well spent.

With best wishes for all your plans, I am

Sincerely
[signed]
Robt. E. Chaddock

Prof. E.R.A. Seligman
Kent Hall, Columbia U.

_______________

Regarding a Bill to the Statistical Laboratory for $520

February 3, 1913

Mr. Charles S. Danielson,
Columbia University.

My dear Mr. Danielson:-

Professor Chaddock advises me that a refund of $90.00 made by W. A. Morschhauser on bill of October 31st, 1912 has been turned over to your office. This $90.00 covers the import duty which had been included in the bill of $520.00.

Will you therefore please apply this $90.00 to the account “Special Appropriation for Statistical Laboratory,” and recharge to the same account $22.00 of the $29.20 overdraft charged to the “Economics” appropriation at the end of last year? When these entries and transfers have been made the “Economics” appropriation balance should show an increase of $22.00 and the balance of the “Special Appropriation for Statistical Laboratory” should be $68.00.

If this is not correct, kindly let me know.

Very sincerely yours.
[presumably E.R.A. Seligman]

 

 

 

 

Source:  Columbia University Archives. E.R.A. Seligman Collection. Box 98A [now in Box 36], Folder “Columbia (A-Z), 1911-1913”.

Image Source: Robert Emmet Chaddock from Barnard College, Mortarboard, 1919.

 

Categories
Chicago Statistics Suggested Reading Syllabus

Chicago. Econometrics sequence (2 quarters). Christ, 1957

 

From 1955 through 1961 the University of Chicago economics Ph.D. alumnus (1950) and early Cowles Commission researcher, Carl Christ, was associate professor at the University of Chicago. I stumbled upon the following reading lists for his two quarter econometrics sequence from 1957 filed away in Milton Friedman’s papers along with Econ 300A and 300B (Price Theory and Distribution)  reading lists.

It is interesting to see that input-output theory and linear programming are still considered parts of “econometrics” at even this relatively advanced date. 

The next post will provide life and career information as well as anecdotes shared by former students and colleagues following his death in April 2017.

___________________

Economics 314 and 315
Econometrics and Special Topics in Econometrics
READING LISTS
Winter and Spring 1957
Mr. Christ

 

  1. Econometrics “Texts”

Chiefly for 314:

Tinbergen, Jan, Econometrics.

For both 314 and 315:

Tintner, Gerhard, Econometrics.
Klein, Lawrence R., A Textbook of Econometrics.
Hood, William C., and Tjalling C. Koopmans, Studies in Econometric Method (Cowles Commission Monograph 14). Especially chapters 1, 2, 4, 5, 6, 9. (Chapter 6 is chiefly for Economics 315).

  1. Statistical Inference (Including Regression and Correlation)

In addition to relevant parts of books listed above, the following are useful. They are approximately in increasing order of difficulty.

Chiefly for 314:

Wallis, W. Allen, and Harry V. Roberts, Statistics: A New Approach. Especially the following sections and chapters.
2.8; 4.5-6; 5; 6.1, 6.5; 8.7; 9; 10.9-12; 12; 14.1-2, 14.5-6, 14.8; 15; 17; 18; 19
Walker, Helen M., and Lev, Statistical Inference.

For both 314 and 315:

Ezekiel, Mordecai, Methods of Correlation Analysis, 2nd edition.
Yule, George Udny, and Kendall, An Introduction to the Theory of Statistics (not the earlier book by Yule alone).
Snedecor, George W., Statistical Methods.
Fisher, Ronald A., Statistical Methods for Research Workers, 6th edition or later.
Tippett, L. H. C., The Methods of Statistics.
Hoel, Paul G., Introduction to Mathematical Statistics.

Chiefly for 315:

Anderson, R. L., and T. A. Bancroft, Statistical Theory in Research.
Mood, A. M., Introduction to the Theory of Statistics.
Wilks, S. S., Mathematical Statistics.
Cramer, Harald, Mathematical Methods of Statistics.

  1. Econometric Techniques and Problems (Including the Estimation of Parameters)

In addition to relevant sections of books cited under I and II above, see the following. Items marked with an asterisk(*) are particularly important.

Chiefly for 314:

Working, E. J., “What do Statistical ‘Demand Curves’ Show? QJE 41 (February, 1927), pp. 212-35. Reprinted in AEA Readings in Price Theory, pp. 97-115.
*Christ, Carl F., “History of the Cowles Commission,” in Cowles Commission, Economic Theory and Measurement. (20th Annual Report). Especially pp. 12-13, 30 (bottom)-41, 47 (middle)-60.
*Koopmans, Tjalling C., “Identification Problems in Economic Model Construction,” Econometrica 17 (April, 1949), pp. 125-44. Reprinted as chapter 2 in Hood and Koopmans (cited under I above), pp. 27-48.
*Marschak, Jacob, “Economic Structure, Path, Policy, and Prediction,” AER, XXXVII (May, 1947), pp. 81-4.

For both 314 and 315:

Koopmans, Tjalling C., “The Logic of Econometric Business Cycle Research,” JPE 49 (April, 1941), pp. 157-81.
*Haavelmo, Trygve, “The Statistical Implications of a System of Simultaneous Equations,” Econometrica 11 (January, 1943), pp. 1-12.
*Marschak, Jacob, “Econometric Measurements for Policy and Prediction”, Chapter 1 in Hood and Koopmans (cited under I above), pp. 1-26.
*Bennion, E. G., “The Cowles Commission’s ‘Simultaneous Equation Approach’”, Rev. Econ. and Statistics, XXXIV (February, 1952), pp. 49-56.
*Meyer, John R., and Miller, “Some Comments on the ‘Simultaneous Equations Approach’”, Rev. Econ. and Statistics, XXXVI (February, 1954), pp. 88-92.
*Bronfenbrenner, Jean, “Sources and Size of Least Squares Bias in a Two-Equation Model,” chapter 9 in Hood and Koopmans (cited under I above), pp. 221-35.
*Haavelmo, Trygve, “Methods of Measuring the Marginal Propensity to Consume,” JASA 42 (March, 1947), pp. 105-22. Reprinted as chapter 4 in Hood and Koopmans (cited under I above), pp. 75-91.
Foote, R. J., and K. A. Fox, Analytical Tools for Measuring Demand, U. S. Department of Agriculture Handbook No. 64.
*Klein, Lawrence R., “On the Interpretation of Theil’s Method of Estimation of Economic Relations,” Metro-economica 7 (December, 1955).
*Basmann, Robert, “A Generalized Classical Method of Linear Estimation of Coefficients in a Structural Equation”, Econometrica 25 (January, 1957).

Chiefly for 315 (in chronological order):

*Haavelmo, T., “The Probability Approach in Econometrics,” Econometrica 12 (1944), Supplement.
*Koopmans, Tjalling C., “Statistical Estimation of Simultaneous Economic Relationships,” JASA 40 (December, 1945), pp. 448-66.
Cochrane, Donald, and Guy H. Orcutt, “Application of Least Squares Regression to Relationships Containing Autocorrelated Error Terms,” JASA 44 (March, 1949), pp. 32-61.
Orcutt, Guy H. and Donald Cochrane, “A Sampling Study of the Merits of Autoregressive and Reduced Form Transformations in Regression Anaysis,” JASA 44 (September, 1949), pp. 356-72.
Koopmans, Tjalling C., ed., Statistical Inference in Dynamic Economic Models (Cowles Commission Monograph 10).
*Koopmans, Tjalling C., and W. C. Hood, “The Estimation of Simultaneous Linear Economic Relationships,” chapter 6 in Hood and Koopmans (cited under I above), pp. 112-99.

  1. Statistical Tests for Econometric Equations

For both 314 and 315:

Durbin, James, and G. S. Watson, “Testing for Serial Correlation in Least Squares Regression. II.” Biometrika 38 (June, 1951), pp. 159-78.
Hotelling, Harold, “The Selection of Variates for Use in Prediction,” Annals Math. Stat. 11 (1940), pp. 271-83.

  1. Aggregate Econometric Models of the U. S. Economy

For both 314 and 315:

Tinbergen, Jan, Statistical Testing of Business Cycle Theories, Vol. II: Business Cycles in the U.S.A., 1919-1932.
Klein, L. R., Economic Fluctuations in the U.S., 1921-1941 (Cowles Commission Monograph 11).
Clark, Colin, “A System of Equations Explaining the U.S. Trade Cycle 1921-1941,” Econometrica Vol. 17 (April, 1949), pp. 93-123.
Christ, Carl, “A Test of An Econometric Model for the U.S., 1921-1947,” in Conference on Business Cycles (N.B.E.R.), pp. 35-129.
Valavanis-Vail, Stefan, “An Econometric Model of Growth, U.S.A. 1869-1953,” AER 45 (May, 1955), pp. 208-21, 225-7.
Klein, L. R., and Arthur Goldberger, An Econometric Model of the U.S., 1929-1952 (Contributions to Economic Analysis, No. IX).
Fox, Karl A., “Econometric Models of the U.S., “ JPE 64 (April, 1956), pp. 128-42.
Christ, Carl F., “Aggregate Economic Models,” AER 46 (June, 1956), pp. 385-408

  1. Demand Studies

For both 314 and 315:

Schultz, Henry, Theory and Measurement of Demand.
Girshick, M. A., and Trygve Haavelmo, “Statistical Analysis of the Demand for Food,” Econometrica 15 (April, 1947), pp. 79-110. Partly reprinted as chapter 5 in Hood and Koopmans (cited under I above), pp. 92-111.
Wold, Herman, and Lars Jureen, Demand Analysis.
Fox, Karl A., The Analysis of Demand for Farm Products (U. S. Department of Agriculture Technical Bulletin No. 1081).
Working, Elmer J., Demand for Meat (American Institute of Meat Packing).
Stone, Richard N., The Measurement of Consumers’ Expenditure and Behaviour in the U.K., 1920-1938, Vol. I (National Institute of Economic and Social Research, London).

  1. Consumption Functions

For both 314 and 315:

Ferber, Robert, A Study of Aggregate Consumption Functions (N.B.E.R.).
Modigliani, Franco, and R. E. Brumberg, “Utility Analysis and the Consumption Function,” in Kenneth Kurihara, ed., Post Keynesian Economics.
Brumberg, R. E., “An Approximation to the Aggregate Saving Function,” Economic Journal 66 (March, 1956).
Nerlove, Marc, “Estimates of the Elasticities of Supply of Selected Agricultural Commodities,” Journal of Farm Economics 38 (May, 1956), pp. 496-512. Read primarily for the expectations hypothesis.
Friedman, Milton, and Gary Becker, “A Statistical Illusion in Judging Keynesian Models,” JPE 65 (February, 1957).

  1. Other Applications

Chiefly for 314:

Douglas, Paul H., “Are There Laws of Production?” AER 38 (March, 1948), pp. 1-41.
Mendershausen, Horst, “On the Significance of Professor Douglas’ Production Function,” Econometrica 6 (April, 1938), pp. 143-53.

Chiefly for 315:

Hildreth, Clifford, and Frank Jarrett, A Statistical Study of Livestock Production and Marketing (Cowles Commission Monograph 15).
Prais, S. J., and H. Houthakker, The Analysis of Family Budgets (Cambridge Univ., Dept. of Applied Economics).

  1. Input-Output

Chiefly for 314:

Evans and Hoffenberg, “The Interindustry Relations Study for 1947,” Rev. Econ. and Statistics, XXXIV (May, 1952), pp. 97-142.
Dorfman, “The Nature and Significance of Input-Output,” Rev. Econ. and Statistics, XXXVI (May, 1954), pp. 121-33.
Christ, Carl F., “A Review of Input-Output Analysis,” in Conference in Research on Income and Wealth, Studies in Income and Wealth, Vol. 18: Input-Output Analysis: An Appraisal (N.B.E.R.).

  1. Linear Programming

Chiefly for 314:

Dorfman, “Mathematical, or ‘Linear’, Programming,” AER XLIII (December, 1953), pp. 797-825.
Chipman, “Linear Programming,” Rev. Econ. and Statistics, XXXV (May, 1953), pp. 101-17.
Heady, “Simplified Presentation and Logical Aspects of Linear Programming Technique,” Journal of Farm Economics, XXXVI (December, 1954), pp. 1035-48.
Boles, “Linear Programming and Farm Management Analysis,” Journal of Farm Economics, XXXVII (February, 1955), pp. 1-24.

  1. Calculus

The following (arranged in increasing order of difficulty) are useful.

Thompson, Sylvanus P., Calculus Made Easy.
Allen, R. G. D., Mathematical Analysis for Economists.
Courant, R., Differential and Integral Calculus (2 vols.).

  1. Matrix Algebra and Determinants

In addition to the following, see appendices in Tintner and in Klein (cited under I above), and special sections in Anderson and Bancroft and in Mood (cited under II above):

Aitken, A. C., Determinants and Matrices.
Albert, A. A., Introduction to Algebraic Theories.
Ferrar, William L., Algebra.
Wade, Thomas L., The Algebra of Vectors and Matrices.
Allen, R. G. D., Mathematical Economics, Chapters 12-14.

 

Source:   The Hoover Institution Archives. Papers of Milton Friedman, Box 77, Folder 1 “University of Chicago 300A & B”.

Image Source. Detail of “Carl Christ, teaching economics-1963” (second from left at seminar table) from the Carl Christ memorial webpage of the Department of Economics, Johns Hopkins University.

Categories
Methodology Statistics

Statistical Society. On the Relation of Statistics to Political Economy. Address by William A. Guy, 1865

 

I am afraid I can’t recall any details from the wild-goose chase that serendipitously landed me at the following 1865 address by the forensic physician/statistician William August Guy. His speech to the British Statistical Society covered everything from the origins and usages of the word “statistics” through its relation to political economy and “social sciences” (his quotes).  

There is much interesting in these 1865 musings, but perhaps my favorite quote is the following:

…the sciences which have to do with living beings, whether in the vegetable or animal kingdom, must rest their claims rather upon the fidelity of their descriptions, and the soundness of their classifications, than on the fulfilment of their predictions or the power which they can exert. The knowledge which they have acquired by the observation of many individuals differing widely from each other, cannot be applied with certainty to the individuals themselves, but only to groups of individuals similar to those which first supplied the knowledge. And that which is true of the plant or the animal, is true of individual men as members of society. It is from groups of persons that we obtain our knowledge; it is to like groups that we apply it. We cannot, therefore, refuse to the Actuary who first collects and arranges facts relating to the duration of human life, and then calculates the expectation of life, the title of a man of science, for no better reason than that his calculations possess the high utility of which I have been speaking, not when applied to the individual man, but only when brought to bear (as in life assurance) on great numbers of persons. And so must it be with the Statist, in the sense in which I would use the term. He collects and arranges his facts, calculates their average value, marks, in some cases, their extreme values, and would make application of his knowledge to the groups or classes to which the facts relate, but that the right and power of action rests with the State and not with him. But the fact that the results which he obtains are applicable in practice not to individuals but to classes, and the accident, so to speak, which separates the discovery of truth from the power of applying it, cannot destroy the dignity of his pursuits nor rob statistics of its right to take rank among the sciences.

I have made a few editing corrections, e.g. correcting misspellings in German, for the sake of assisting text searches by others.

___________________

Biography of William August Guy

GUY, WILLIAM AUGUSTUS (1810–1885), statistician, was born in 1810 at Chichester, where his male ancestors for three generations had been medical men. Hayley, in his ‘Life of Romney,’ says of his grandfather, William Guy, that he won Cowper’s heart at sight, and that Romney would have chosen, him as a model for a picture of the Saviour. Guy spent his early life with this grandfather and then went to Christ’s Hospital, and for five years to Guy’s. He won the Fothergillian medal of the Medical Society of London in 1831 for the best essay on asthma, and afterwards entered at Pembroke College, Cambridge, where, after further study for two years at Heidelberg and Paris, he took his M.B. degree in 1837. In 1838 he was appointed professor of forensic medicine at King’s College, London, in 1842 assistant-physician to King’s College Hospital, and from 1846 to 1858 he was dean of the medical faculty. He early directed his attention to statistics, and was one of the honorary secretaries of the Statistical Society, from 1843 to 1868. In 1844 he gave important evidence before the Health of Towns Commission on the state of printing offices in London, and the consequent development of pulmonary consumption among printers. He took part in founding the Health of Towns Association, and was incessantly occupied in calling public attention to questions of sanitary reform by investigations (statistical and medical), lectures, and writings. He thus rendered valuable services in connection with the improvement of ventilation, the utilisation of sewage, the health of bakers and soldiers, and hospital mortality.

He edited the ‘Journal of the Statistical Society’ from 1852 to 1856, was vice-president 1869-72, and in 1873-5 he was president of the society. He was Croonian (1861), Lumleian (1868), and Harveian (1875) lecturer at the Royal College of Physicians, and was frequently censor and examiner of the college. In 1878 he was appointed one of the royal commissioners on penal servitude, and on criminal lunatics in 1879. In 1876-7 he was elected to the post of vice-president of the Royal Society.

Guy’s ‘Principles of Forensic Medicine,’ first published in 1844, and frequently reedited, is now a standard work, the fourth and later editions having been edited by Dr. David Ferrier. Although often consulted in medico-legal cases he would never give evidence publicly, partly from over-sensitiveness, partly from want of confidence in juries. Guy retired from medical practice for many years before his death, retaining only his insurance work. His sympathies were broad, as were his political and religious views. He died in London on 10 Sept. 1885, aged 75.

Guy’s larger works are: 1. ‘R. Hooper’s Physician’s Vade-Mecum; enlarged and improved by W.A.G.,’ 1842 (many subsequent editions). 2. ‘Principles of Forensic Medicine,’ 1844; 4th edition, 1875, edited by D. Ferrier. 3. T. Walker’s ‘Original,’ edited with additions by W.A.G. 1875; another edition 1885. 4. ‘Public Health; a Popular Introduction to Sanitary Science,’ pt. i. 1870; pt. ii. 1874. 5. ‘The Factors of the Unsound Mind, with special reference to the Plea of Insanity in Criminal Cases,’ 1881. 6. ‘John Howard’s Winter’s Journey,’ 1882.

Guy published several lectures, and contributed many papers to the Statistical Society, including the ‘Influence of Employments on Health,’ ‘The Duration of Life among different Classes,’ ‘Temperance and its relation to Mortality,’ ‘The Mortality of London Hospitals,’ ‘Prison Dietaries,’ and ‘John Howard’s True Place in History.’

 

Source: “Guy, William Augustus” by George Thomas Bettany in Dictionary of National Biography, 1885-1900, Volume 23.

___________________

 

On the Original and Acquired Meaning of the term “Statistics,” and on the Proper Functions of a Statistical Society: also on the Question whether there be a Science of Statistics; and, if so, what are its Nature and Objects, and what is its Relation to Political Economy and “Social Science.”

By William A. Guy, M.B., F.R.C.P., one of the Honorary Secretaries of the Statistical Society.

[Read before the Statistical Society, 21st November, 1865.]

It cannot, I think, be denied that those who cultivate the branch of knowledge which this Society was established to foster and promote, are held in less estimation than men who devote the same labour and similar talents to many other pursuits. This arises in part from misapprehensions as to the meaning of the word “Statistics,” and as to the objects and aims of statistical inquiries; and in part to the common mistake of confounding the laborious collection of facts which constitutes the second process of every sound statistical inquiry with the whole procedure, overlooking alike the judgment and scientific insight which planned the inquiry, and the critical and analytical talent employed in discovering and displaying the truth. The aim of this communication is to vindicate the claim of Statistics to an honourable place among the sciences, and of statistical inquiries to the credit of which they have been unintentionally deprived. In carrying my purpose into effect, I shall observe the order of inquiry indicated in the title of the paper itself.

1. On the Original and Acquired Meaning of the term “Statistics.”

The word “Statistik,” from which the English “Statistics” is derived, is somewhat more than a century old. It appears to have been first used by Gottfried Achenwal, professor of law and politics at Göttingen, in his work entitled “Staatsverfassung der heutigen vornehmsten Europaischen Reiche und Völker,”* of which the first edition bears date 12th April, 1749. [Abriß der neusten Staatswissenschaft der vornehmsten Europäischen Reiche und Republicken] The word Statistik does not appear on the title page of the book, but is printed in large letters at the head of a short sketch of the bibliography of politics prior to the appearance of the author’s work. This sketch is headed “Vorbereitung von der STATISTIK [Staatskunde] überhaupt,” and gives a list of ten works in Latin and German published between the years 1668 and 1750, which works are best described as treatises on universal history; and it is followed by a philosophical disquisition in sixty-one sections, respecting the several elements which go to make up a full and complete history of a modern State. It is in this introduction that the original meaning of the term statistics is to be sought.

*The sixth edition of this work has been purchased for the library of the Society.

Now we find the author incidentally defining the term Statistik as that branch of learning (Disciplin) which occupies itself with the extent, limits, subdivisions, and natural relations of States, their advantages, their history, and their origin; as the description of the political constitution of one or more States; as synonymous with Staatskunde and Staatsbeschreibung (the science and the description of States). By statistics (die Statistik), he says, we attain to a knowledge of States and their constitution. But it is not everything that can be truly said of a State that properly finds a place in statistics, but only what contributes to political knowledge, and conduces, in an eminent degree, to the welfare of a State; so that the more any matter concerns the general well-being of a State the more necessary is it that it should find its illustration in statistics. Again, it is not what the vulgar care most about that proves most attractive to the statistical inquirer. The number of swine, or the first use of coffee in country parts, has more importance in his sight than the pedigrees of noble houses. And again, in speaking of statistical collections, the author insists that the facts of which they consist, should be as little as possible mixed up with reasonings. They ought to be mere facts. Lastly, this Statistik is worthy of honour, for from it history borrows a considerable portion of her light, to general public law it contributes most valuable material, and it enriches politics with a multitude of practical data.

What the author really means by statistics, is practically shown in the eight short treatises on Spain, Portugal, France, Great Britain, the Netherlands, Russia, Denmark, and Sweden, which constitute the body of his work. Taking Great Britain as our example, we find him first giving (in seven short sections under the head of Staatsveränderungen) a short history of our origin and growth; then under the head of Länder, an account of our boundaries, climate, mountains, and streams, of our constituent parts, and their divisions into counties, with their productions; then under the head of Einwohner,* the number of inhabitants, and their character; next under Staatsrecht, our fundamental laws, the order of regal succession, the prerogatives of the crown, the character of the government, the estates of the realm, the houses of parliament; next, under the head of Hof- und Regierungsverfassung, the titles of the king and crown prince, the royal arms, the officers of state, the privy council, the State religion, our universities and places of education, our local government, our legal procedures, our manufactures, internal traffic, und external commerce, our coinage, our finances, system of taxation, and national debt, our army and navy. This account of Great Britain is finished by a short chapter headed Staatsinteresse, in which the author sets forth in few words what he conceives to be the causes of the then prosperity of the nation which he, perhaps not inaptly, designates “the paradise of lawyers.”

It will be seen, then, that Achenwall uses the word Statistik as strictly synonymous with Staatskunde, or State-science, and Staatsbeschreibung, or the description of States; and that under the name of statistics he describes the actual condition of a State under all its aspects—territorial, political, educational, religious, industrial, commercial, and financial—its means of offence and defence being given as a necessary part of its history, but the exploits of its army and navy being passed over or lightly touched upon. It will be seen also, that the use of figures is not insisted on, although facts, pure and simple, and as much as possible disencumbered of theories, are commended as of the greatest value.

From the general tone and spirit of Achenwall’s introductory chapter, I infer that he felt the want of some one comprehensive word which should supersede the many terms in use at the time at which he wrote, such as Staatskunde, Staatsbeschreibung, Staatslehre, Staatswissenschaft, Staatsrecht, Staatskenntniss, Staatsklugheit, &c. The meaning of some of these terms he defines very clearly, as in the following passage. “Staatslebe teaches how States should be: “Staatskunde describes them as they are: Staatsgeschichte shows “how they have become what they are. Staatskunde is a stationary “Staatsgeschichte, as this is a progressive Staatskunde. It must “be understood, then, that we are not now treating of a States-history according to the taste of the Anno Domini men, but “according to that of Robertson, Lagerbring, Gyannoni,” &c.

The word Statistik, then, means the description of States as they are; and the description contemplated by the author is obviously such an one as the best modem historians carry into practical effect when they contend that history should not be a mere record of names, dates, wars, and political struggles, but also afford complete and faithful pictures of manners and customs, sciences and arts, industry and commerce—of everything, in fact, which contributes to the wealth, strength, honour and dignity of a nation.

Additional light is thrown on the meaning of the word Statistik by the incidental use of the word Staatisten or Staatsgelerten, the learned in matters of state, a word which is evidently the exact equivalent of the word Statist, which our old English writers frequently employ—always in the sense of a man versed or busied in State matters, but with shades of difference. Shakespeare seems to use it in the sense both of politician and statesman. Ford, in the latter sense. Beaumont and Fletcher contrast statists with men of action. Milton speaks of statists and lawyers, and seems to use the word statist as synonymous with statesman, and with patriot. Wood describes Gardner as a great statist. Sir Thomas Browne classes statists and politicians together. Lastly, Carlyle quotes an old proverb, not intended to be very complimentary to us, “as the statist thinks the bell clinks.” The word “statism,” again, is used by some old authors as synonymous with “policy,” “the arts of government,” or statecraft; and the words “Statistical” and Political,” “Statist,” “Statesman,” and “Politician,” are given as equivalent terms by Todd in his edition of Johnson. For most of these references, which are given in extenso below,* I am indebted to Todd’s edition of Johnson’s “English Dictionary” and Richardson’s “English Dictionary;” and I bring this part of my paper to a close by quoting the definition of Statistics given in those works.

“Statisticks (from Statism or Statist). That part of municipal philosophy which states and defines the situation, strength, and resources of a nation.”—Todd’s Johnson.
“Statistick (Fr. Statistique) is a word for which we are said to be indebted to a living writer. Statisticks is applied to everything that pertains to a State—its population, soil, produce, &c.”—Richardson.**

* “The greatest politician is the greatest fool; for he turns all his religion into hypocrisy, into statisme, yea into atheism, making Christianity a very foot-stool to policy.”—Junius, Sin Stigmat (1639), p. 613.
“Hence it is that the enemies of God take occasion to blaspheme, and call our religion statism.”—South, vol. I, sermon 4.
“And besides them I keep a noble train,/Statists and men of action.”—Gonzales. Beaumont and Fletcher, Laws of Candy, act ii, scene 1.
“You are an eminent statist, be a father/To such unfriended virgins, as your bounty/Hath drawn into a scandal.” Ford, The Fancies Chaste and Noble, act ii, scene 3.
“Statists indeed,/And lovers of their country.” Milton Paradise Regained.
“Though he (Cicero) were sparing otherwise to broach his philosophy among statists and lawyers.”—Milton, Doct. and Disc. of Divorce, b. ii, c. 3.
“The people looking one while on the statists, whom they beheld without constancy or firmness.”—Milton, History of England, vii, b.ii.
“He (Gardner) was a learned man and of excellent parts, a great statist, and a writer of many books.”—Wood, Fasti, Oxon, vol. i.
Posthumus to Philario. “I do believe/(Statist though I am none, nor like to be)/That this will prove a war.” Shakespeare, Cymbeline, act ii, scene 4.
“I once did hold it, as our statists do,/A baseness to write fair.” Hamlet to Horatio. Hamlet, act v, scene 2.
“As the statist thinks, the bell clinks.”—Old Proverb.
Statists and politicians unto whom Ragione di Stato is the first considerable, as though it were their business to deceive the people.”—Sir Thomas Browne, Pseudodoxia Epidemica (Vulgar Errors), book i.
Statists that labour to contrive a commonwealth without our poverty, take away the object of charity, not understanding only the commonwealth of a Christian, but forgetting the prophecy of Christ.”—Sir Thomas Browne, Religio Medici, part ii, 1642.

**The living writer here spoken of is probably M. B. P. Capper, “Statistical Account of the Population, &c., of England and Wales, 1801.”

How the word Statistik came to undergo so considerable a change of meaning, as to imply not a history or description of States and Kingdoms, but only a part of the materials of which such history or description is composed (as if for a stately building we were to substitute the bricks or stones, for a finished painting some only of the colours), it would not be easy to point out, nor would the search after the facts repay the labour of the investigation. Suffice it to state that such a change had already taken place when this Society was first called into existence in the year 1834.

On referring to the Report of the third meeting of the British Association, held at Cambridge in 1833, I find Professor Sedgwick stating from the chair that, in addition to the five existing sections, another, originating with some distinguished philosophers, had come into operation, the object of which was to promote statistical inquiries. The president thought it necessary to justify the addition of this sixth section, and, in doing so, insisted that it should limit itself to “matters of fact,” “mere abstractions,” and “numerical results,” constituting what might be called “the raw material to political economy and political philosophy,” by which perhaps “the “lasting foundations of those sciences may be ultimately laid.” The formation of this new section was referred to in the following year as the prelude to the establishment of a flourishing society which acknowledged itself the offspring of the Association, and promised, by a similar procedure, to advance materially the greatly neglected subject of British statistics. The prospectus of our Society, which was printed in the Transactions of the Association, fixed the date of our foundation as the 15th March, 1834, and set forth very clearly our objects and plan. It stated that the Statistical Society of London was established for the purpose of procuring, arranging, and publishing “facts calculated to illustrate the condition and prospects of society,” that ” the first and most essential rule of its conduct” was “to exclude carefully all opinions from its transactions and publications—to confine its attention rigorously to facts—and, as far as it may be found possible, to facts which can be stated numerically, and arranged in tables.”

It will be seen, then, that at the date of the establishment of the Statistical Section of the British Association, and of this Society (its offspring), statistics had already come to mean rather the materials of a science than the science itself. As Professor Sedgwick understood the word, it represented mere facts to be used as the raw material of political economy and philosophy, but as the Founders of our Society apprehended it, the facts were to be applied to the building up rather of a social than of a political edifice. But there was one point upon which all parties seem to have been agreed. The statistical labourer was not to be indulged with the luxury of opinions; he was to be a patient drudge, binding up his sheaves of wheat for others to thresh out. The very crest and motto of the Society, stared him in the face from the cover of every Journal, reminding him of the humble and unintellectual work expected at his hands. In putting forth this restricted and unattractive programme, the British Association seem to have been actuated by a desire to secure for the new section facts as trustworthy as the observations and experiments in physical science, with which the other sections had to do; while the Statistical Society wished to separate itself as much as possible from the hypotheses and unfounded assertions which had heretofore formed great part of the stock in trade of the political economist and social reformer. But both parties overlooked the fact that the new section of the Association on the one hand, and the Statistical Society on the other, had other functions to discharge than that of mere depositories of facts. Meetings were to be held at stated intervals, which should offer to those who attended them, such attractions as are put forth by other societies. The members would expect to listen to, and to take part in, not merely dry strictures on the author’s facts and figures, the soundness of the units, and the sufficiency of the numbers, but discussions on the broad principles which the figures might seem to suggest or establish. If the author could succeed in concealing or stifling his opinions, his audience would not be restrained from expressing theirs; and it was surely hard to deny him a liberty which could not be refused to them.

It is obvious, too, that exactly in proportion to the talent and originality of the author, and the desire of the members to profit by his labours, would be his own restiveness under the restrictions imposed upon him. Accordingly, as early as May, 1835, we find Mr. Hallam, the treasurer of the Society, at a meeting at which he himself presided, “giving an account of regulations enacted by the magistrates of Ypres, for the maintenance of the poor in the year 1530,” in which account there does not occur a single figure, much less a single tabular statement, but the distinctly expressed opinion that these Belgian provisions for the poor formed the model for our own English legislation in the reigns of Henry VIII and Elizabeth: and in December of the same year, Mr. G. R. Porter reads a paper “On the Connection between Crime and Ignorance, as exhibited in Criminal Calendars.” Now Mr. Hallam begins his communication by remarking “that it seems within the province of the Statistical Society to collect such information from the history of past times, as illustrates the condition of society, especially in relation to the more important discussions of political economy;” and Mr. Porter, after rehearsing the objects of the Society, observes “that occasions will sometimes arise when it may be permitted to the members of the Statistical Society to offer the result of investigations whereby they may have detected fallacies, and especially those which have been suggested, and are apparently supported by inquiries more strictly coming within the limits of statistical labours.” Thus early, then, in the history of this Society, do we find its very founders and office-bearers, men of whom we are justly proud, breaking through the narrow bounds within which it was sought to confine them, and setting at nought the self-denying ordinance which, had it been narrowly observed and strictly acted up to, would have made the Statistical Society of London a very bye word for contented dullness and senseless drudgery. But fortunately for us the Society has become moulded almost imperceptibly into a more attractive form. The facts and figures of many of our most valued contributions have first been collected and arranged by men who submitted to the labour because they had opinions which they wished to bring to the test, and have then been brought before us instinct with the living energy, and force which thought lends to fact.

The most cursory examination of the Journals of the Society, or of the excellent Index to their contents, must serve to convince us that the eminent men to whom I have just referred, did not stand alone in their disobedience to the strict letter of our original prospectus. Their successors followed their example, and produced papers for discussion at our evening meetings, and for subsequent publication in the Journal, of which it may be worth while to attempt an analysis. I find that these papers admit of being arranged in at least as many groups as those which follow:—

  1. Papers giving an account of the existing state or condition of entire nations or kingdoms—such an account as Achenwall himself would have designated by the term Statistik.
  2. Papers giving a similar account of parts only of such nations or kingdoms, of provinces, counties, districts, cities, towns, and parts of towns, rural districts, and villages. These descriptions would probably have received from Achenwall the same designation.
  3. Papers discussing, in relation to whole kingdoms, or parts of them, such matters as education, crime, industry, health, wealth, manufactures, commerce, special branches of industry and production, &c.
  4. Reports of the inquiries of committees appointed by the Council, as the Committees on Education in Westminster, Finsbury, and London, on the state of Church Lane, St. Giles’s, on Registration and the Census, on Beneficent Institutions, &c.
  5. Polemical papers, contesting the opinions of authorities past or present, as derived by them from the use of numerical returns or otherwise.
  6. Papers on the numerical method, and the scientific treatment of facts and figures.
  7. Papers discussing, without the aid of figures, some historical question, or some question relating to the proper meaning and use of terms employed by the political economist or student in some allied science. These papers are few in number, and may be looked upon as exceptional.
  8. Papers on subjects belonging properly to some well defined branch of science, such as physiology or medicine, admitted into the Journal as rich in facts and figures, but having no direct bearing on the objects of “statistics” properly defined. Such are some parts of the paper of Dr. Clendenning “On the Relative Frequency of Pulmonary Consumption and Diseases of the Heart,” published in the first volume of the Journal, and the greater portion of that of Dr. Hutchinson, “On the Results of Experiments with the Spirometer,” published in vol. vii.

This classified outline of the papers submitted to the Society for discussion, and printed in our Journal, will prepare the way for the consideration of the second subject comprised in the title of my paper, namely,

2. The Proper Functions of a Statistical Society.

It will not, I think, be disputed that Achenwall’s definition of the word Statistik is quite in keeping with the now acknowledged functions of a statistical society, and that if the meaning of the term be so enlarged as to embrace not States or kingdoms only, but all their constituent parts, the functions of the society may be very properly enlarged in a like degree.

Again, it will not be denied that Achenwall was right in insisting upon the value of facts, nor that a statistical society would forfeit its distinctive character, if it did not aim at collecting, arranging, and tabulating facts, as its means of illustrating and describing the actual condition of States, Kingdoms, and their constituent parts.

But it is evident that the definition of Achenwall, even with the extension here indicated, would be too narrow to embrace all the proper functions of a statistical society, as now generally understood. Something more than a true history and description of States and their constituent parts is clearly implied in the words used by our founders, when they describe our object and plan to be the procuring, arranging, and publishing “facts calculated to illustrate the condition and prospects of society.” Now the word “society” is evidently not synonymous with the word “State,” and it is doubtful whether Achenwall ever proposed to himself that minute and comprehensive survey of man as a being living in society which our founders had in view. He contemplated, as I think, an improved history of States; we an improvement in the condition of the individual, the constituent unit of the State. He aimed at a correct knowledge of States for the sake of the knowledge itself; we at a perfect knowledge of the individual, with a view to his improvement as a man, such knowledge being impossible of attainment through the isolation of an individual from the class to which he belongs, inasmuch as the propriety of the selection might be questioned; such improvement being equally impossible through the obvious inadequacy of remedial measures, applied merely in detail, to individuals suffering some common injury. Hence the necessity of large numbers of facts.

The true conception of the functions of a statistical society may, I think, be best arrived at by combining into one comprehensive sentence the definition of Achenwall and the statement of our prospectus, and adding to this combined formula, such minor details as are obviously suggested by the proceedings and usages of our Society. If this view of the matter be correct, the following summary of the proper functions of a statistical society will not be very wide of the truth :—

  1. To collect and preserve facts illustrating the past and present condition and probable future prospects of States and their territorial divisions, and of the several classes of their inhabitants. This is best done by means of a library, well arranged and duly catalogued, containing both books and manuscripts.
  2. To add to existing facts by the special inquiries of committees, or of persons appointed for the purpose.
  3. To promote the discussion of unsettled questions and the correction of erroneous views in political and social economy, by arranging for the reading of papers at periodical meetings to be held for the purpose, such papers only to be deemed to be within the province of the Society, as make use of facts and numerical statements in support of the views therein expressed.
  4. To encourage to the utmost all efforts tending towards the establishment of sound principles for the guidance of those who engage in the work of collecting, arranging, and tabulating facts, and in applying the numerical method to the discovery of truth.
  5. To discourage the improper use of the word statistics as a mere synonym for collections of facts, irrespective of the use to which they are put; and to uphold the dignity of the Society as applying facts of a peculiar order to purposes of the highest utility.
  6. To discourage and repress all encroachments on the arena of politics, as objects of party strife.

Such would appear to be the proper functions of a statistical society as determined by a joint consideration of the original meaning of the term Statistics, the programme of our Society, and our experience of its actual working.

3. Is there a Science of Statistics; and, if so, what are its Nature and Objects, and what is its Relation to Political Economy and Social Science?

It is obvious that we are not in a condition to answer the question, whether there be a Science of Statistics, until we have first settled (if that be possible) the meaning of the word Science itself; and it is equally obvious that this word is one of very unsettled import, having every shade of meaning between knowledge arranged and methodised, and certainty based on demonstration. On consulting the same Dictionaries from which I collected the meanings of the words Statist and Statistics, I learn that according to the usage of the best authors, science may either retain its original meaning namely, knowledge, or come to signify any “one of the seven liberal arts,” or “any art attained by precepts or built on principles,” or “certainty grounded on demonstration.” If Shakespeare and Pope may be cited as authorities for the right use of words, music and mathematics are sciences, as are also the seven “liberal arts,” grammar, rhetorick, logick, arithmetick, musick, geometry, and astronomy. Glanville, a prose writer cited by Johnson, goes the extreme length of speaking of the “indisputable mathematics” as the only science heaven hath yet vouchsafed to humanity. Gibbon seems to use the word science as equivalent to the word speculation.

But the adjective, scientifick, appears to have been used by our best prose writers in one and the same sense of demonstration or certainty. Thus Sir Thomas Browne appears to consider science as “natural philosophy proceeding from settled principles,” and issuing in “a sure and rational belief;” Howell speaks of scientifical knowledge, as something of unusual excellence; South of scientifick evidence as something surpassing “high probability” and “moral certainty;” and Locke has the phrase “scientifical or demonstrative reasoning,” and speaks of “a comprehensive, scientifical, and satisfactory knowledge of the works of nature.”*

* See Todd’s Johnson, and Richardson’s “English Dictionary,” under the words ” Science” and ” Scientifick.”

If from the works of authors cited in dictionaries, we pass on to consider the more formal definitions of science as given by our best authorities, we find great differences of meaning. I will content myself with quoting two eminent scientific men, Sir John Herschel and Professor Sedgwick. The former, in his “Discourse on Natural Philosophy,” p. 18, tells us that “Science is the knowledge of many, orderly, and methodically digested and arranged, so as to become attainable by one.” The latter understands by science (I quote from his address to the British Association in 1833), “the consideration of all subjects, whether of a pure or mixed nature, capable of being reduced to measurement and calculation.” These definitions may be taken to indicate the two extremes of meaning of the word Science. It can mean nothing less than the one, nor more than the other. But perhaps its true meaning is to be gathered not from dictionaries or from the definitions of philosophers themselves, but from a close examination of its primary and secondary uses as drawn from examples. It is in this way that I shall myself attempt to answer the question—What is a science?

In the first place, it is obvious that the word Science originally meant knowledge, as the word Art meant skill, and that a science meant a special application of knowledge as an art did a special application of skill. But it is also obvious that the words science and art have ceased to be exactly synonymous with knowledge and skill. They evidently mean knowledge and skill with certain qualifications and reservations.* An art, so long as it continues to be a mere affair of skilful handiwork, remains an art; but directly it submits itself to the guidance of well ascertained general principles, it may claim to be a science, provided only that its applications have a certain largeness of scope, combined with utility of a high order. Thus there is an art of music, and a science of musical composition; an art of drawing, and a science of perspective; an art of construction, and a science of architecture; an art of reasoning, and a science of logic; an art of persuasion, and a science of rhetoric; an art of calculation, and a science of arithmetic. In all these instances the art has a large aim and an undoubted utility as ministering to some universal want, or some general craving for refined amusement of the senses and mind, while the science is characterised by the universality and precision of its application to the special instances created by the corresponding art.

* “Knowledge, emphatically, not imperfect or protended.”—Richardson’s English Dictionary.”

An examination, therefore, of the arts that have grown into sciences, and are generally acknowledged to deserve the name, shows that the characteristic of sciences is the possession of general principles applied with precision to individual instances furnished by the arts out of which they have grown, or to which they lend their aid. In some instances, it will be seen that the principles of the science, though precise, are few in number, while the art is characterised by largeness of application within very narrow limits. Such is the science of logic as applied in the art and act of reasoning. In other cases, arts draw their rules of practice from more than one science, as is the case with architecture, which rests on the sciences of construction and ornamentation; or with the modern art of war, which uses the sciences of projectiles and of fortification, to which may perhaps be added the science of chemistry, and possibly a science of self-defence, of which fencing, with its precise phrases and definite rules of procedure, is the highest development.

In order, then, that any special application of knowledge or of skill may attain to the dignity of a science, and claim its patent of nobility, it must show universality and precision in its principles or rules, and utility of a high order in the application of them. But to these marks or signs of science, we must make some addition if we would satisfy the requirements of those who use the word science in its most restricted sense. They will have it that the principles or rules in question must not only be universally applicable to all suitable special instances, but they must be expressed in figures of arithmetic, and the results of their application must be certain. The eclipse must happen to a moment, and last for its calculated period; the elements of a compound body must combine in their atomic proportions to the ten-thousandth of a grain; musical notes must be so arranged and combined, as not to offend the most sensitive ear; and the lines of a drawing in perspective, must fall with such minute precision, that the most practised eye shall not detect the least departure from nature.

But is it not obvious that to limit the application of the word science thus narrowly, is to deny the use of that honourable title to some of those branches of knowledge which have been enriched by the greatest and most fruitful discoveries? Surely the men who in practising the noble art of healing, walk in the light of the discoveries of Harvey and Charles Bell, who have attained to the prevention of at least one loathsome malady, and to the performance of operations without pain; who have completed their knowledge of anatomy, and made great progress in the study of minute structure, of the chemical components of the body and its secretions, and of the subtle causes of disease; who make constant and skilful use of the most delicate instruments of investigation; who possess many approved remedies, some of which they apply with certainty to the cure of some maladies, and to the relief of others; have a claim to a higher title than that of mere artists, and may speak of themselves as men of science, and boast of a science of medicine, though their few certainties are mixed up with much that is purely conjectural, and their best knowledge runs like a golden thread through a tissue of imperfectly ascertained facts. For like reasons it would be unjust to those who practise the excellent arts of farming and horticulture in the light of modern discoveries to refuse to acknowledge a science of agriculture; and to the statesmen who administer the affairs of nations on the principles established by such men as Adam Smith, a science of political economy.

But in actual practice the term science is applied to branches of knowledge which are nearly or quite innocent of the use of figures; as, for instance, to Botany, which had earned its title by careful classification and exact description, even before it called to its assistance the microscopist to unravel, and the chemist to analyse, the tissues of plants. Zoology and Entomology, have perhaps even less claim to the name of sciences; and Geology owes that title rather to the largeness and grandeur of its objects, than to the precision of its information.

Chemistry, again, of which the claim to the dignity of a science is not to be disputed, owes its proud position to many distinct causes —to the joint possession of a numerical theory, of a precise and condensed nomenclature, of delicate instruments of analysis and discovery, joined to its perfect command of the materials on which it operates, and its intimate relations with other sciences on which it is in a condition to confer the greatest benefits.

In direct contrast to the science of chemistry, stands a branch of knowledge which has no practical applications, and owes its title to be termed a science solely to the dignity and surpassing interest of its object, and the singular talent and acuteness of its most distinguished cultivators—I mean the science of metaphysics. Setting this aside as exceptional, we may say of science in general that it should have practical applications of acknowledged utility and dignity, and general principles, comprehensive and precise, to which the mere practice of an art could not have given rise. But the hastiest survey of those branches of knowledge to which the term science has been, by general consent, applied, reveals a diversity of character in keeping with the obvious variety of practical pursuits to which men are impelled by necessity or choice. Astronomy has to do with objects of which the mass cannot be increased or lessened, nor the composition altered, nor the movements controlled by human interference. Its claim to be a science must, therefore, rest, in the main, on the exact fulfilment of its prophesies. The sciences which preside over all our great works of construction, are tested by the stability and durability of the works for which they supply the necessary numerical data. Chemistry vindicates its title by the visible and tangible results of its operations. But the sciences which have to do with living beings, whether in the vegetable or animal kingdom, must rest their claims rather upon the fidelity of their descriptions, and the soundness of their classifications, than on the fulfilment of their predictions or the power which they can exert. The knowledge which they have acquired by the observation of many individuals differing widely from each other, cannot be applied with certainty to the individuals themselves, but only to groups of individuals similar to those which first supplied the knowledge. And that which is true of the plant or the animal, is true of individual men as members of society. It is from groups of persons that we obtain our knowledge; it is to like groups that we apply it. We cannot, therefore, refuse to the Actuary who first collects and arranges facts relating to the duration of human life, and then calculates the expectation of life, the title of a man of science, for no better reason than that his calculations possess the high utility of which I have been speaking, not when applied to the individual man, but only when brought to bear (as in life assurance) on great numbers of persons. And so must it be with the Statist, in the sense in which I would use the term. He collects and arranges his facts, calculates their average value, marks, in some cases, their extreme values, and would make application of his knowledge to the groups or classes to which the facts relate, but that the right and power of action rests with the State and not with him. But the fact that the results which he obtains are applicable in practice not to individuals but to classes, and the accident, so to speak, which separates the discovery of truth from the power of applying it, cannot destroy the dignity of his pursuits nor rob statistics of its right to take rank among the sciences. And if, as in the case of chemistry, to which I have already adverted, the claim to be called a science rests on more attributes than one, this same claim may be set up on behalf of statistics: for we, too, have our classifications and our nomenclature; we, too, have our numerical method; we, too, have powerful instruments of analysis in our tabular forms; we, too, have the most universal and subtle of all the means of discovery, the power of eliminating disturbing elements, of establishing numerical equalities, and exhibiting residues as containing the cause or causes which made two or more numerical statements to differ from each other. We largely use the true Baconian method of induction, and Lord Bacon’s own favourite instrument the Tabula inveniendi. Lastly, of the utility and dignity of our pursuit there cannot be a doubt.

From these considerations, then, I infer that there is a science of statistics—a science worthy of respect, encouragement, and support—a science of which the members of this Society may be justly proud—a science to which States and nations need not be ashamed to acknowledge their obligations.

The question of the relation which this science of statistics bears to Social Science and Political Economy, is the only one which, according to the title of this paper, remains to be discussed. My answer to this question will be anticipated from what has gone before. The science of statistics is a comprehensive science, of which “social science” and political economy are only branches or departments. The original prospectus of this Society, already quoted, did really establish a Social Science when it stated as its object the procuring, arranging, and publishing of “facts calculated to illustrate the condition and prospects of society;” while Professor Sedgwick spoke of the Statistical Section of the British Association, to which, as I have shown, this our Society owes its origin, as dealing with “matters of fact,” “mere abstractions,” and “numerical “results,” which were to furnish “the raw material to political economy and political philosophy;” by which, as he thought probable, “the lasting foundation of those sciences might be ultimately laid.” So that this Society may be said to have from the first cultivated both social and political science in the only satisfactory way—by the accumulation of facts. The fact that a Society calling itself the “Social Science Association,” has within a few years come into existence, does not in any way invalidate our claim to have first set on foot, in fact, though not in express terms, a social science; nor, if we were to lay claim on our own behalf, to the exclusive cultivation of that science, should we do any injustice to the younger society. For it is obvious that the work done by the Social Science Association, excellent as it is, is not in the nature of Science. It may be described, without injustice, as a Social Reform Association, encouraging the discussion of alleged social evils, inviting publicity, and taking practical steps, by means of memorials, petitions, and deputations to men in authority, to promote legal and social reforms. To the members of that Association, and to all other men, we offer the services of a social and political science, slowly and painfully constructed on the basis of facts laboriously brought together, but upon the collection, arrangement, tabulation, and analysis of which we bring constantly to bear the pure bright light of scientific method. We do not allege that there is no other way to social reform and improvement but this toilsome path of ours; we know that many financial, social, and legal habits, arrangements, and procedures may be convicted of folly, inconvenience, and injustice, without the use of a single figure of arithmetic; but we also know that in almost all disputed questions, our aid is invoked, because we are believed to collect, arrange, and classify our facts in the true spirit of science, calmly and impartially, having as our primary object the discovery of truth by facts, and not the redress of grievances.

But it is time that I bring this communication to a close. In doing so, I trust that I may lay claim to some success in my attempt to give increased dignity and importance to this Society, and a new interest to the labours of its members. For myself, at least. I may say, that in offering to the Society a long series of communications on which I have bestowed much labour and thought, I acted in the belief that I was contributing to the gradual, slow growth, not of heaps of facts without reference to their use or application, but of a veritable science, social and political—a science with a definite aim, an orderly classification of subjects, a numerical method with its strict rules of synthesis and analysis—something more than the Statistik of Achenwall, nothing less than “the political economy and “philosophy” of Sedgwick ; a science which I believe it to have been the real aim of our founders to establish when they announced their intention to illustrate by facts the condition and prospects of society. I hope also to be forgiven if I so far ignore the rude conceptions of our original prospectus, as to indulge in the luxury of “opinions,” and to respect the now disused motto which bids me bind up my sheaves of wheat for others to thresh out, rather as a venerable relic of the past, than as a principle of action to be at this moment implicitly obeyed and acted upon.*

* I append a tabular sketch of the chief divisions of Statistics recognised in the original prospectus of the Society,—a prospectus drawn up by Henry Hallam, Charles Babbage, Richard Jones, and John Elliot Drinkwater, constituted a provisional committee for the purpose. The committee did not point out distinctly the subdivisions of medical statistics. They are assumed to be the two printed in a distinctive type.

Economical

(1.) Natural productions and agriculture of nations.
(2.) Manufactures.
(3.) Commerce and currency.
(4.) Distribution of wealth (rent, wages, profits, &c.).

Political

(1.) Facts relating to the elements of political institutions, the number of electors, jurors, &c.
(2.) Legal statistics.
(3.) Finance and national expenditure, civil and military establishments.

Medical

(1.) (P Preventive Measures).
(2.) (P Curative Measures, Hospitals, tec).
(3.) Population.

Moral and Intellectual

(1.) Statistics of literature.
(2.) Education.
(3.) Religious instruction and ecclesiastical institutions.
(4.) Crime.

 

Source: Journal of the Statistical Society of London, December 1865, pp. 478-493.

Image Source: Barraud & Jerrard, Photographers – The Medical profession in all countries containing photographic portraits from life v. 2, no. 13. London: J. & A. Churchill, 1874.

 

Categories
Fields Harvard Regulations Statistics

Harvard. Use of written general examination for quantitative methods in economics, 1968

 

We can see in the following memo how the traditional oral examinations had to be adapted for a field such as quantitative methods that does not lend itself readily to oral examination while still holding to the principle of a general oral examination  “to assess the candidate’s general ability to use the tools of theory and quantitative methods and to understand the interrelation of different parts of the discipline.” I am surprised that they were apparently still using oral examination for quantitative methods up through the 1967 “generals season”.

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Additional Oral General Examiner for Students Taking Written Quantitative Methods Exam

April 10, 1968

Memo to: Members of Department of Economics
From: Richard E. Caves, Chairman

At its meeting of February 27, the Department of Economics voted to change the examining procedure for the field of quantitative methods. A written exam will now be given in this field, with the result that students having a write-off and presenting the field of quantitative methods will be offering only two fields on the oral examination. It was voted that, in these cases, a third examiner be present to judge the candidate’s general ability to use economic reasoning and his proficiency as an economist.

A number of members of the department will be asked to take up this open-ended rule in oral examinations during the Spring generals season. Discussion at the Department meeting indicated an agreement that the third examiner should not raise detailed questions of substance outside of the two fields being presented for specific oral examination, but should try to assess the candidate’s general ability to use the tools of theory and quantitative methods and to understand the interrelation of different parts of the discipline. It was suggested that the third examiner might either take his turn at the end of the examination or break in periodically during examination in the two specific fields. He also might, if practical, develop questions on the basis of the candidate’s performance in the written theory and statistics examinations.

The new system of oral examination may call for some change in our traditional method of grading a general examination, which involved each examiner giving a grade both on his own field and on the examination as a whole. It may be more suitable, depending upon the course of the individual examination, for the third examiner to evaluate only the examination as a whole. The grade on the written statistics examination should be taken into account in the same way that the grade on the written theory exam has been in the past.

The Department viewed the inclusion of a third examiner as experimental. I hope that members of the department who have taken up this role will discuss it among themselves to help us develop a standard of practice in this area an to evaluate its usefulness.

 

Source: John Kenneth Galbraith Papers. Series 5. Harvard University File, 1949-1990. Box 526, Folder “Harvard University Department of Economics: General correspondence, 1967-1974 (3 of 3)”.

Image Source:  “Bye-Bye, Blue Books?” in Harvard Magazine, July/August 2010.

Categories
Courses Exam Questions Harvard Statistics

Harvard. Graduate Statistics in Economics. Final Exam, Day, 1914-15

 

 

Edmund Ezra Day mostly taught statistics at Harvard during his years on the faculty from 1910 to 1923 before going off to Michigan and Cornell. This posting contains the course announcement for 1914-15, enrollment figures, and the final examination questions for his graduate statistics course. This information comes from three different sources, all of which are available on-line. Over the next few weeks, I’ll be posting corresponding material from the twenty economics courses at Harvard during the 1914-15 year for which the final examination questions had been printed and subsequently published.

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Course Announcement

Economics 13. Statistics: Theory, Method, and Practice. Mon., Wed., Fri., at 9. Asst. Professor Day.

The first half of this course is intended thoroughly to acquaint the student with the best statistical methods. Such texts as Bowley’s Elements of Statistics, Yule’s Introduction to the Theory of Statistics, and Zizek’s Statistical Averages, are studied in detail. Problems are constantly assigned to assure actual practice in the methods examined.

The second half of the course endeavors to familiarize the student with the best sources of economic statistical data. Methods actually employed in different investigations are analyzed and criticized. The organization of the various agencies collecting data is examined. Questions of the interpretation, accuracy, and usefulness of the published data are especially considered. [pp. 67-68]

Source: Division of History, Government, and Economics 1914-15. Official Register of Harvard University, Vol. XI, No. 1, Part 14 (May 19, 1914).

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Course Enrollment

[Economics] 13. Asst. Professor Day.—Statistics: Theory, Method, and Practice.

Total 11: 8 Graduates, 2 Seniors, 1 Radcliffe.

Source: Report of the President of Harvard College, 1914-15, p. 60.

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Final Exam (2nd term)

ECONOMICS 13

  1. What are the fundamental types of frequency distributions? What is the importance of each in (a) theoretical statistics; (b) applications of the statistical method in economics?
  2. Explain the different methods of determining the median and the mode.
    Describe the short-cut method of calculating the arithmetic mean from a frequency table. What assumptions underlie this method?
  3. “With series of irregular conformation it is better not to take an average of all the deviations as a measure of dispersion.” Explain. What is to be said for and against this position?
  4. To what different uses may the graphic method be put?
    In what ways may historic series be compared by the graphic method?
  5. Discuss correlation with reference to (a) the meaning of the term; (b) the use of the Pearsonian coefficient; (c) the lines of regression; (d) the definition of perfect correlation.
  6. Discuss the statistics of two of the following subjects with respect to (a) the agencies collecting the data, (b) the methods of collection, (c) the schedules employed, (d) the tabulation of the returns, and (e) the publication of results: —

Agriculture;
Births and deaths in Massachusetts;
Crime;
Manufactures;
Money and banking;
The population of the United States;
Wages;
Workingmen’s budgets.

Source: Harvard University Examinations. Papers Set for Final Examinations in History, History of Science, Government, Economics, Philosophy, Psychology, Social Ethics, Education, Fine Arts, Music in Harvard College. June 1915, pp. 55-56.

Image Source:  Edmund Ezra Day in Harvard Class Album, 1915.