0
1

Delete article

Deleted articles cannot be recovered.

Draft of this article would be also deleted.

Are you sure you want to delete this article?

R3 on "What are the most important statistical ideas of the past 50 years? " Andrew Gelman, Aki Vehtari(32)

Last updated at Posted at 2021-10-28

R3(References on References on References) on "What are the most important statistical ideas of the past 50 years? " Andrew Gelman, Aki Vehtari(32)

R3 on "What are the most important statistical ideas of the past 50 years? " Andrew Gelman, Aki Vehtari(0)
https://qiita.com/kaizen_nagoya/items/a8eac9afbf16d2188901

What are the most important statistical ideas of the past 50 years?
Andrew Gelman, Aki Vehtari
https://arxiv.org/abs/2012.00174

References

32

Dempster, A. P., Laird, N. M., and Rubin, D. B. (1977). Maximum likelihood from incomplete data via the EM algorithm (with discussion). Journal of the Royal Statistical Society B 39, 1–38.

References on 32

32.1

BARGMANRN., (1957). A study of independence and dependence in multivariate normal analysis. Mimeo Series No. 186, University of North Carolina.

[1] Anderson, T. W., and Rubin, H., "Statistical Inference in Factor Analplis," Proc. of the Third Berkeley Symposium on Mathematical Statistics, vol7,7195-61-Pi: 111.407 2-2_7
[2] Bergmann, R. B., "Signifikansuotereuchungen der Einfachen Struktur in Her Paktorenanalyse," Mitteilunmsblatt Statietik, Heft 1 (1955) pp. 1-24. L-32 , [3] Bergmann, R. B.,"Ueberfuebrung der Schverpunkte- to die nnuntacheen1oenung nod welters Entvieklung der Na..berungsverfabren to Her Fehtorenanalyse," Mitteilunga-hlatt f.d. Math. Statiatik Heft 1 (1956) pp. 1-14.
[4] Bergmann, R. B. , "A Demonstration Study on the Effective-ness of Factor-Analytical Methods," Noohecbule f. Internationals Bled. forechung, Frankfurt/Main, Forschungetericht (June, 1955).
[5] Bartlett, M. S., "The Statistical Conception of Mental Factor.," tE.a. 3....SIELT911.nt. v." XXV.' (1937) op. 97-104.
[6] Cowden, D. J., "The Multiple-Partial Correlation Coefficient," Journ. Am. Stet. Att., vol. KIVU, pp. 442-456.
[7] Cramir, H., Mathematical Method, of Statistics Princeton University Press (1946).
[8] Dimon, W. J., end Massey, F. J. Introduction to Statistical AT0 McGrew Hill (1951 end 1956).
[9] Onanadeeikan, R., "Contributions to Multivarlate Analyst. including univeriete and moltivariate variance com-ponents and factor analysis," Inatitute of ntattetics, University of North Carolina, Mineonrnpn Series NO. 153 (1956).

[10] leRvood, H. B., "On Finite Sequences of Real Number.," Proc. ply. Soc., Series A, vol. ClISM (1930) sp. ,486-501.

[11-7 versity of Chicago Pr... (1941f.
[12] Botching, B., "Mixed Multiple Partial correlation." Ell,' gm. raa (1926) p. 98.

[13] Hotalling, H., "Analysis of a Complex of Stati•tical Variables into Principal Components," Journ. Bd. 1=12. vol. XXIV (1933) pp. 417-441 sad 498-5387--
[14]Hotalling, H., "Simplified Calculation of Principal Com-s," Psychometrika, vol. I (1936) pp. 27-35.
[15]Hotalling, H., Bth..crib.7:!It."mt" ine1;3‘61';:.`;::-;7;7"".'"
[16] Hotalling, H., "Nee Light on the Correlation Coefficient and its Transforms," Journ. Any. Stat. Soo., Series B, vol. XV (1953) pp. 193-232:
[17] Hon., P. G., "Some Contributions to Factor Analysis," Ph.D. dissertation, University of north Carolina (1955).
[18] Kendall, M. G., The Advanced Theo, of statietic• vol. and II, Claris. Griffin, London (1931, 3rd ed.).

[19] Kendall, M. G., and Smith, H., "Factor Analysis," Joon, Soz. c., Series 9, vol. XII (1950) pp. 60-94
[20] Lavley, D. II., "The Estimation of Factor Loadings byline Method of Maximum Likelihood," Proc. poy. toc. Edinb., vol. 131 (1940) pp. 64-82.
[21] Ledermann, V., "On a Problem Concerning Matrices vith Variable Diagonal Elements," Proc. 13(y. Soc. 20100., vol. LX, part I (1959) pp. 1-117
[22] Olkin, I. and Roy, S. H., "On Multivariate Distribution Theory," Ann. Math. Stat., vol. XXV (1950) pp. 329-359.
[23] Pearson, 2. S. and Hartley, E. 0., (ed.) Hicastrike Tables for Statistician. vol. I, Cambridge University Frees (1959, 4th ed.).
[24] Pearson, K., "On Lines and Plena of Closest Pit to Systems of Polite in Space," Eta. 95f., at series, vol. II (1901) pp. 559.532.
[25] Pineau, H., "Remarsue• eur l'enelyse factorielle de gotelling. Comps:alma avec les mithodes centroides,• Cclog■Les Internationauz du Centre National de la RecEhe Scientifive, va.-LVIII ,105) y1,7177:1117-

[26] Roy, J., "The Distribution of certain Likelihood Criteria Ves-tal in Multivariate Analysis," Bull. intern. Stat. Inst., vol. %XXIII, part 2, pp. 219.230

[27] Roy, J., "On some Teeth of Significance in Samples from —M-Polar Normal Dietributione," Sankhya vol. XIV, part 3 (1954) pp. 203.210.
[28] Roy, S. N., "On s Heuristic Method of Tent Conetruction and Its Use in Multivariate Analysis," Ann. Math. Stat., 001. X,IN (1953) pp. 220-238. —
[29] Roy, S. N., "A Useful Theorem in Matrix Theory," Proc. Amer. Math. Soc., vol. V (1954) pp. 635-638.
[30] Roy, S. N., "Some Further Results in Simultaneous Confidence —3erval Estimation," Ann. Math. Stat., vol. UN (1954) PP. 752-761.
[31] Roy, S. N.,"A Report on Some Aspecte of Multimariate Analy--7 Institute of Statietice, University of North Caro-lina, Mimeograph Series No. 121 (1954).
[32] Roy, S. N., "A Note on 'Some Further Results in Simultaneous Confidence Interval Estimation.," Ann. Meth. Stat., vol. NMI (1956) pp. 656-858.
[33] Roy, S. N., and Bergmann, R. E., "Tests of Multiple Independ-ence and the Aenocieted Confidence Bound.," institute of Stet..., University of North Carolina, mimeograph Serie. No. 175 (1957).
[34] Roy, S. N., and Bole, R. C., "Simultaneous Confidence Interval —grireation," Ann. Math. Stat., val. rtIV (1913) PP. 513-536. —
[35] Roy, S. N., and Onanadesiken, R., "Further Contributions to MultIvariate Confidence Bounds," institute Of Statistics, University of North Carolina. Mimeokreth Series No. 155
[36] Roy, S. N., and Urban, A. B.. "On Inverting a Class of pat. tooted diatricee,. Biometrika, vol. BLit' (1956) pp. 227-231.
[37] Spearman, C., The Abilities of Man, McMillan (1927)
[38] Thomson, Sir Godfrey, The yactorial Analysis of Human Ability, Boughton Mifflin, Boston (1939).
[39] Mormon, Sir Godfrey and Ledermann, V., "The Influence of Multivariate Selection on the Factor Analysis of Ability," Brit. Journ. Psych., vol. XXIX (1939) Part III
[40] Thurston, L. L., "Theory of Multiple Factor.," Ann Arbor, Mich. (1933), Microfilm No. 1648, Library, University of Chicago.
[41] Thurston, L. L., The Vectors of Mind University of Chicago Press (1935
[42] Thurston, L. L., Multiple Factor Analysis, University of Chicago press
[43] Votaw, D. F., "Testing Compound Sytmetry in a Normal Multi-variate Population,' Ann. Math. Stat., vol. XIX (1948) Pb. 417.473.
[44] Wald, A. and Brookner, R. J., "On the Distribution of Wilk.' Statietic for Testing the independence of Several Groupe of Veriates," Ann. Math. Stat., vol. XII (1941) p. 137.
[45] Wilke, S. S., 'Certain Generalisations in the Analysis of Variance," Biometrika vol. XXIV (1932) i. 471.
[46]Wilke, S. S., 'On the Independence of k Sets of Normally Die-Statietical Variables,' Econometrics vol. III (1935) PP. 309-326.
[47]Wilke, S. S., , 'sample Criteria for Testing Equality of Means, Equality of Variances, and Equality of Covariance. in • Normal Multiveriete Distribution," Ann. Math. Stat., vol. ml (1946) p. 257.
[48] Wilke, S. S., end Tukey, J. Eby of the Dietri-titian of Beta Variables by a Single Beta Variable," Ann. Math. Stat., vo1. XVII (1946) p. 318.
[49] WiobarL, J., "Sampling Error. In the Theory of Two Factors,' Brit. Journ. Psych., vol. XIX (10) pp. 180.187.

32.2

BATSCHELET.,(1960). 'Uber eine Kontingenztagel mit fehlenden Daten. Biometr.

32.3

Zeitschr., 2, 236-243. BISHOPY, . M. M., FIENBERGS., E. and HOLLANDP,. W. (1975). Discrete Multivariate Analysis: Theory and Practice. Cambridge, Mass.:M.I.T. Press.

32.4

DEMPSTERA,. P. and MONAJEMAI,. (1976). An algorithmic approach to estimating variances. Research Report S-42, Dept of Statistics, Harvard University.

32.5

DRAPERN, . R. and GUTTMANI., (1968). Some Bayesian stratified two-phase sampling results. Biometrika, 55, 131-140 and 587-588.

32.6

EDWARDAS,. W. F. (1970). Estimation of the branch points of a branching diffusion process (with Discus-sion). J. R. Statist. Soc. B, 32, 155-174.

32.7

FEDOROV,. V. (1972). Theory of Optimal Experiments (E. M. Klimko and W. J. Studden, eds and translators). New York: Academic Press.

32.8

FELLMANJ., (1974). On the allocation of linear observations. CommentationesPhys.-Math., 44, Nos. 2-3.

32.9

FISHERR,.A.(1925).Theoryofstatisticalestimation.Proc.Camb.Phil.Soc.,22,700-725.

32.10

GEPPERTM, . P. (1961). Erwartungstreue plausibelste Schutzen aus dreieckig gestutzen Kontingenstafeln.Biometr. Zeitschr., 3, 54-67.

32.11

GOODMANL., A. (1968). The analysis of cross-classified data. Independence, quasi-independence and - interaction in contingency tables with or without missing entries. J. Amer. Statist. Ass., 63, 1091-1131.

32.12

GOODMANL.(1974). Exploratory latent-structure analysis using both identifiable and unidentifiable models. Biometrika, 61,215-23 1.

32.13

GUTTMANI., (1971). A remark on the optimal regression designs with previous observations of Covey- Crump and Silvey. Biometrika, 58, 683-685.

32.14

HABERMASN. ,J. (1971). Tables based on imperfect observation. Invited paper at the 1971 ENAR meeting, -Pennsylvania State University.

32.15

HABERMASN. ,J. (1974). Loglinear models for frequency tables derived by indirect observation: maximum likelihood equations. Ann. Statist., 2, 911-924.

32.16

HEMMERLWE,. J. (1974). Nonorthogonal analysis of variance using iterative improvement and balanced residuals. J. Amer. Statist. Ass., 69, 772-778.

32.17

HEMMERLWE,. J. and HARTLEYH,. 0. (1973). Computing maximum likelihood estimates for the mixed A.O.V. model using the W transformation. Technometrics, 15, 819-831.

32.18

HEMMERLWE., J. and LORENSJ,. 0. (1976). Improved algorithm for the W-transform in variance component estimation. Technometrics,18,207-212.

32.19

Howe, W. G. (1955). Some contributions to factor analysis. Report ORNL 1919, Oak Ridge National Laboratory.

32.20

-LAIRDN, . M. (1975). Log-linear models with random parameters. Ph.D. Thesis,

32.21

Harvard University. (1976). Nonparametric maximum-likelihood estimation of a distribution function with mixtures of distributions. Technical Report S-47, NS-338, Dept of Statistics, Harvard University.

32.22

LAWLEYD,. N. and MAXWELLA,. E. (1971). Factor Analysis as a Statistical Method (2nd edn). London:

32.23

Butterworth. LITTLER,.J.A.(1974).Missing values in multi variate statistical analysis.Ph.D.Thesis,University of London.

32.24

MCCLACHLAGN., J. (1975). Iterative reclassification procedure for constructing an asymptotically optimal rule of allocation in discriminant analysis. J. Amer. Statist. Ass., 70, 365-369.

32.25

MORGANB,. J. T. and TITTERINGTODN., M. (1977). A comparison of iterative methods for obtaining maximum-likelihood estimates in contingency tables with a missing diagonal. Biometrika, 64, (in press).

32.26

PEARCES,. C. (1965). Biological Statistics: an Introduction. New York: McGraw-Hill.

32.27

PEARCES., C. and JEFFERSJ., N. R. (1971). Block designs and missing data. J. R. Statist. Soc. B, 33,131-136.

32.28

PETERSOAN., V. (1975). Nonparametric estimation in the competing risks problem. Ph.D. Thesis, StanfordUniversity.

32.29

PREECED,.A.(1971).Iter ative procedures for missing values in experiments.Technometrics,13,743-753.

32.30

RAO,C. R. (1955). Estimation and tests of significancein factor analysis. Psychometrika, 20, 93. RUBIND,.R.(1972).

32.31

Anon-iterative algorithm for least squares estimation of missing values in anyanalysis of variance design. Appl. Statist., 21, 136-141.

参考資料(References)

Data Scientist の基礎(2)
https://qiita.com/kaizen_nagoya/items/8b2f27353a9980bf445c

岩波数学辞典 二つの版がCDに入ってお得
https://qiita.com/kaizen_nagoya/items/1210940fe2121423d777

岩波数学辞典
https://qiita.com/kaizen_nagoya/items/b37bfd303658cb5ee11e

アンの部屋(人名から学ぶ数学:岩波数学辞典)英語(24)
https://qiita.com/kaizen_nagoya/items/e02cbe23b96d5fb96aa1

<この記事は個人の過去の経験に基づく個人の感想です。現在所属する組織、業務とは関係がありません。>

最後までおよみいただきありがとうございました。

いいね 💚、フォローをお願いします。

Thank you very much for reading to the last sentence.

Please press the like icon 💚 and follow me for your happy life.

0
1
0

Register as a new user and use Qiita more conveniently

  1. You get articles that match your needs
  2. You can efficiently read back useful information
  3. You can use dark theme
What you can do with signing up
0
1

Delete article

Deleted articles cannot be recovered.

Draft of this article would be also deleted.

Are you sure you want to delete this article?