243:(1935) statistical technique and application. In that book he emphasized examples and how to design experiments systematically from a statistical point of view. The mathematical justification of the methods described was not stressed and, indeed, proofs were often barely sketched or omitted altogether ..., a fact which led H. B. Mann to fill the gaps with a rigorous mathematical treatment in his well known treatise,
198:, whose principles allowed later statisticians to design and to analyze customized experiments. Like contemporary "self-help" and "how to" books, the earlier books gave easy-to-follow examples but little theory beyond exhortations to follow three principles of
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In 1946 Mann returned to Ohio State
University, where he served as a professor of mathematics until his retirement in 1964. Mann then became a professor at the
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239:, published in 1925, went through many editions and motivated and influenced the practical use of statistics in many fields of study. His
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Number theory and algebra: Collected papers dedicated to Henry B. Mann, Arnold E. Ross, and Olga
Taussky-Todd
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Ronald A. Fisher was "interested in application and in the popularization of statistical methods and his early book
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412:(Corrected reprint of 1965 Wiley ed.). Huntington, New York: Robert E. Krieger Publishing Company.
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Mann, Henry B. (1942). "A proof of the fundamental theorem on the density of sums of sets of positive integers".
105:. Mann immigrated to the United States in 1938, and lived in New York, supporting himself by tutoring students.
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1964–1971. Mann was professor at the
University of Arizona from 1971 to 1975. His doctoral students include
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Analysis and design of experiments: Analysis of variance and analysis of variance designs
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331:"On a Test of Whether one of Two Random Variables is Stochastically Larger than the Other"
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218:). Earlier books provided useful examples of designed experiments along with the design's
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Introduction to algebraic number theory (With a chapter by
Marshall Hall, Jr.)
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Addition theorems: The
Addition theorems of group theory and number theory
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624:"R. A. Fisher and the development of statistics—a view in his centenary year"
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378:. New York, N. Y.: Dover Publications, Inc. pp. x+195.
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Jewish emigrants from
Austria after the Anschluss to the United States
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395:. Columbus, Ohio: The Ohio State University Press. pp. vii+168.
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family, Mann earned his Ph.D. degree in mathematics in 1935 from the
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awarded Mann a fellowship to learn statistics while assisting the
520:(The web-link is to a slightly updated edition of the biography.)
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Journal of the
Statistical and Social Inquiry Society of Ireland
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Olson, John (1977). "Henry B. Mann (with photograph)". In
489:. New York-London: Academic Press . pp. xx–xxv.
69:. Mann published the first mathematical book on the
53:in number theory, and as a result earned the 1946
632:Statistical and Social Inquiry Society of Ireland
544:. Vol. 38, no. 1–2. pp. 260–261.
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191:Mann wrote the first mathematical book on the
176:. Collaborating with Wald, Mann developed the
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206:", to "establish control" (for example with
16:Mathematician and statistician (1905–2000)
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606:Frank Nelson Cole Prize in Number Theory
236:Statistical Methods for Research Workers
702:University of Wisconsin–Madison faculty
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258:U.S. Army's Mathematics Research Center
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19:For other people named Henry Mann, see
630:. Vol. XXVI, no. 3. Dublin:
585:. Mineola, NY: Dover. pp. 27–28.
292:(3). Annals of Mathematics: 523–527.
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687:20th-century American mathematicians
329:Mann, H. B.; Whitney, D. R. (1947).
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124:in 1942. By doing so he established
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57:. He and his student developed the
538:Analysis and Design of Experiments
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336:Annals of Mathematical Statistics
216:assignment of treatments to units
732:20th-century American economists
262:University of Wisconsin–Madison
81:Early life of a number theorist
450:Henry Berthold Mann: 1905-2000
229:According to Denis Conniffe:
114:Schnirelmann–Landau conjecture
51:Schnirelmann-Landau conjecture
1:
707:Academics from Columbus, Ohio
697:Ohio State University faculty
692:University of Arizona faculty
622:Conniffe, Denis (1990–1991).
610:American Mathematical Society
583:Three Pearls of Number Theory
567:Mathematics Genealogy Project
742:University of Vienna alumni
156:. His group also supported
21:Henry Mann (disambiguation)
760:
737:Mathematical statisticians
677:Additive combinatorialists
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536:(June 1951). "Review (of
374:Mann, H. B. (1949).
101:under the supervision of
174:nonparametric statistics
67:nonparametric statistics
612:, retrieved 2011-01-24.
408:Mann, Henry B. (1976).
350:10.1214/aoms/1177730491
667:American statisticians
540:by H. B. Mann)".
391:Mann, Henry B (1955).
249:
110:additive number theory
285:Annals of Mathematics
241:Design of Experiments
193:design of experiments
182:asymptotic statistics
71:design of experiments
47:Ohio State University
37:) was a professor of
220:analysis of variance
128:and earned the 1946
99:University of Vienna
534:Johnson, N. L.
270:William Yslas VĂ©lez
168:and its associated
154:Columbia University
146:operations research
142:Carnegie Foundation
103:Philipp Furtwängler
33:– 1 February 2000,
27:Henry Berthold Mann
118:asymptotic density
112:, Mann proved the
49:. Mann proved the
29:(27 October 1905,
592:978-0-486-40026-6
288:. Second Series.
178:Mann–Wald theorem
162:("Mann–Whitney")
59:("Mann-Whitney")
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672:Number theorists
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507:. Archived from
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200:Ronald A. Fisher
150:Harold Hotelling
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343:(1): 50–60.
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276:Publications
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186:econometrics
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158:Abraham Wald
140:In 1942 the
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722:2000 deaths
717:1905 births
245:Mann (1949)
210:), and to "
196:Mann (1949)
75:Mann (1949)
39:mathematics
661:Categories
563:Henry Mann
542:Biometrika
515:2011-01-20
436:References
367:0041.26103
252:Later life
166:-statistic
136:Statistics
130:Cole Prize
63:-statistic
55:Cole Prize
43:statistics
648:0081-4776
640:2262/2764
306:0003-486X
212:randomize
204:replicate
148:group of
581:(1998).
208:blocking
85:Born in
565:at the
550:2332334
505:0469653
483:(ed.).
428:0424744
401:0072174
384:0032177
359:0022058
322:0006748
314:1968807
260:at the
122:sumsets
116:on the
93:, to a
45:at the
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95:Jewish
87:Vienna
35:Tucson
31:Vienna
546:JSTOR
310:JSTOR
202:—to "
644:ISSN
587:ISBN
491:ISBN
414:ISBN
302:ISSN
268:and
184:and
172:for
41:and
636:hdl
363:Zbl
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