An Investigation of the Effects of Non-Homogeneous Within-Group Regression Coefficients Upon the F Test of Analysis of Covariance / A. Thel Kocher.

The purpose of the present study was to investigate empirically the effects of violations of the assumption of homogeneity of within-group regression slopes on levels of significance in the F test of fixed-effects ANCOVA (analysis of covariance). The study used a Monte Carlo computer simulation proc...

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Bibliographic Details
Main Author: Kocher, A. Thel
Language:English
Published: [Place of publication not identified] : Distributed by ERIC Clearinghouse, 1974.
Subjects:
Physical Description:27 pages
Format: Microfilm Book

MARC

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245 1 3 |a An Investigation of the Effects of Non-Homogeneous Within-Group Regression Coefficients Upon the F Test of Analysis of Covariance /  |c A. Thel Kocher. 
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520 |a The purpose of the present study was to investigate empirically the effects of violations of the assumption of homogeneity of within-group regression slopes on levels of significance in the F test of fixed-effects ANCOVA (analysis of covariance). The study used a Monte Carlo computer simulation procedure to generate data under the following conditions: (1) the covariate was a random variable; (2) the number of treatment groups was three; (3) treatment group n's were small to medium and were unequal as well as equal; (4) error variances were equal as well as unequal; and (5) covariate means were both equal and unequal. For each simulation, the proportion of F values exceeding certain critical values was compared to the nominal alpha corresponding to the critical values. (Author) 
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