Hostname: page-component-6bf8c574d5-h6jzd Total loading time: 0.001 Render date: 2025-02-27T02:14:20.006Z Has data issue: false hasContentIssue false
  • English
  • Français

Some Examples of Multivariate Analysis in Educational and Psychological Research

Published online by Cambridge University Press:  01 January 2025

Fred T. Tyler
Fred T. Tyler*
Affiliation:
University of California
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper provides the formulas necessary for testing the significance of the differences between mean values of different multivariate normal populations by Hotelling's generalization of “Student'” ratio. It also indicates the methods, proposed by Mahalanobis, and by Rao, of classifying different multivariate populations and individuals. The methods are illustrated by means of personality test data obtained from students preparing for the General Elementary and the General Secondary Teaching Credentials.

Type
Original Paper
Information
Psychometrika , Volume 17 , Issue 3 , September 1952 , pp. 289 - 296
Copyright
Copyright © 1952 The Psychometric Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Fisher, R. A. The use of multiple measurements in taxonomic problems. Ann. Eug., 1936, 7, 179–188.CrossRefGoogle Scholar
Fisher, R. A. The statistical utilization of multiple measurements. Ann. Eug., 1937, 8, 376–386.CrossRefGoogle Scholar
Fisher, R. A. Contributions to mathematical statistics, New York: John Wiley and Sons, 1950.Google Scholar
Garrett, Henry E. The discriminant function and its use in psychology. Psychometrika, 1943, 8, 65–79.CrossRefGoogle Scholar
Hodges, Joseph L. Jr. School of aviation medicine. Discriminatory analysis. I. Survey of discriminatory analysis. Project No. 21-49-004, Report No. 1. U.S.A.F. School of Aviation Medicine, Randolph Field, Texas, October, 1950.Google Scholar
Hotelling, H. The generalization of “Student's” ratio. Ann. math. Stat., 1931, 2, 360–375.CrossRefGoogle Scholar
Kendall, Maurice G. The advanced theory of statistics (2 Vols.), London: Charles Griffin and Co., Ltd., 1946.Google Scholar
Lindquist, E. F. Statistical analysis in educational research, New York: Houghton Mifflin Co., 1940.Google Scholar
Mahalanobis, P. C. On the generalized distance function in statistics. Proc. nat. Inst. Sci. Ind., 1936, 12, 49–55.Google Scholar
Pearson, Karl. Incomplete beta function, Cambridge: Univ. Cambridge Press, 1948.Google Scholar
Rao, C. Radhakrishna. Tests with discriminant functions in multivariate analysis. Sankhya: The Indian Journal of Statistics, 1946, 7, 407–414.Google Scholar
Rao, C. Radhakrishna. The utilization of multiple measurements in problems of biological classification. J. roy. Stat. Soc., Supp., 1948, 10, 159–203.CrossRefGoogle Scholar
Rao, C. Radhakrishna. Tests of significance in multivariate analysis. Biom., 1948, 35, 58–79.Google ScholarPubMed
Rao, C. Radhakrishna, and Slater, Patric. Multivariate analysis applied to differences between neurotic groups. Brit. J. Psychol., 1949, 2, 17–29.Google Scholar