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On methods in the analysis of profile data
 Samuel W. Greenhouse,
 Seymour Geisser
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This paper is concerned with methods for analyzing quantitative, noncategorical profile data, e.g., a battery of tests given to individuals in one or more groups. It is assumed that the variables have a multinormal distribution with an arbitrary variancecovariance matrix. Approximate procedures based on classical analysis of variance are presented, including an adjustment to the degrees of freedom resulting in conservativeF tests. These can be applied to the case where the variancecovariance matrices differ from group to group. In addition, exact generalized multivariate analysis methods are discussed. Examples are given illustrating both techniques.
We are indebted to Mrs. Norma French for performing all the calculations appearing in this paper.
 Anderson, T. W. (1958) Introduction to multivariate statistical analysis. Wiley, New York
 Block, J., Levine, L., McNemar, Q. (1951) Testing for the existence of psychometric patterns. J. abnorm. soc. Psychol. 46: pp. 356359
 Box, G. E. P. (1949) A general distribution theory for a class of likelihood criteria. Biometrika 36: pp. 317346
 Box, G. E. P. (1950) Problems in the analysis of growth and wear curves. Biometrics 6: pp. 362389
 Box, G. E. P. (1954) Some theorems on quadratic forms applied in the study of analysis of variance problems: I. Effect of inequality of variance in the oneway classification. Ann. math. Statist. 25: pp. 290302
 Box, G. E. P. (1954) Some theorems on quadratic forms applied in the study of analysis of variance problems: II. Effects of inequality of variance and of correlation between errors in the twoway classification. Ann. math. Statist. 25: pp. 484498
 Eisenhart, C. (1947) The assumptions underlying the analysis of variance. Biometrics 3: pp. 121
 Geisser, S., Greenhouse, S. W. (1958) An extension of Box's results on the use of theF distribution in multivariate analysis. Ann. math. Statist. 29: pp. 885891
 Heck, D. L. Some uses of the distribution of the largest root in multivariate analysis. Inst. Statist. Univ. North Carolina, Mimeo. Ser. No. 194, 1958.
 Hotelling, H. (1951) A generalizedT test and measure of multivariate dispersion. Univ. Calif. Press, Berkeley
 Kullback, S. (1956) An application of information theory to multivariate analysis, II. Ann. math. Statist. 27: pp. 122146
 Rao, C. R. (1952) Advanced statistical methods in biometric research. Wiley, New York
 Roy, S. N. (1953) On a heuristic method of test construction and its use in multivariate analysis. Ann. math. Statist. 24: pp. 220238
 Scheffé, H. (1956) A “mixed model” for the analysis of variance. Ann. math. Statist. 27: pp. 2336
 Welch, B. L. (1949) Note on Mrs. Aspin's Tables and on certain approximations to the tabled functions. Biometrika 36: pp. 293296
 Wilk, M. B., Kempthorne, O. (1955) Fixed, mixed, and random models. J. Amer. statist. Ass. 50: pp. 11441167
 Wilks, S. S. (1932) Certain generalizations in the analysis of variance. Biometrika 24: pp. 471494
 Title
 On methods in the analysis of profile data
 Journal

Psychometrika
Volume 24, Issue 2 , pp 95112
 Cover Date
 19590601
 DOI
 10.1007/BF02289823
 Print ISSN
 00333123
 Online ISSN
 18600980
 Publisher
 SpringerVerlag
 Additional Links
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 Authors

 Samuel W. Greenhouse ^{(1)}
 Seymour Geisser ^{(1)}
 Author Affiliations

 1. National Institute of Mental Health, USA