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Testing Linear Hypotheses Illustrated by a Simple Example in Correlation

Published online by Cambridge University Press:  01 January 2025

Cyril J. Hoyt
Cyril J. Hoyt*
Affiliation:
State Teachers College Mankato, Minnesota
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Abstract

The development of a criterion suitable for testing the significance of a correlation or regression coefficient is used as an illustration of the manner in which a research problem is bound to the selection of the particular data appropriate to collect and a fitting type of statistical analysis of the latter. The translation of the original inquiry into a problem of “testing linear hypotheses” is the means by which these two aspects of an investigation are held together. This presentation is offered as a plan which might be useful for some research workers in determining appropriate criteria for testing their particular hypotheses.

Information

Type
Original Paper
Information
Psychometrika , Volume 10 , Issue 3 , September 1945 , pp. 199 - 204
Copyright
Copyright © 1945 Psychometric Society

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Footnotes

*

As Johnson and Neyman (2) state clearly, to Kolodziejczyk (3) must go the utmost credit for his fundamental work on this general problem.

References

Hoyt, Cyril J. Tests of certain linear hypotheses and their application to educational problems in elementary college physics, Minneapolis: Graduate School, University of Minnesota, 1944.Google Scholar
Johnson, Palmer O. and Neyman, J. Tests of certain linear hypotheses and their application to some educational problems. Statistical Research Memoirs, 1936, 1, 57–93.Google Scholar
Kolodziejczyk, S. On an important class of statistical hypotheses. Biometrika, 1935, 27, 161–190.CrossRefGoogle Scholar
Neyman, J. and Pearson, E. S. On the use and interpretation of certain test criteria for the purpose of statistical inference. Biometrika, 1928, XXA, 175–240.Google Scholar
Pearson, K.Tables of the incomplete beta function. Biometrika Office, University College, London.Google Scholar