This paper describes a computer program which calculates relevant test statistics enabling the user to apply Johansen's simplification of the Welch-James approximation in factorial designs.
Get full access to this article
View all access options for this article.
References
1.
Algina, J. and Olejnik, S. F. (1984). Implementing the Welch-James procedure with factorial designs. Educational and Psychological Measurement, 44, 39-48.
2.
Applebaum, M. I. and Cramer, E. M. (1974). Some problems in nonorthogonal analysis of variance. Psychological Bulletin, 81, 335-343.
3.
Carlson, J. E. and Timm, N. H. (1974). Analysis of nonorthogonal fixed effects designs. Psychological Bulletin, 81, 563-570.
4.
James, G. A. (1951). Comparison of several groups of observations when the ratio of the population variances are unknown. Biometrika, 38, 324-329.
5.
James, G. S. (1954). Tests of linear hypotheses in univariate and multivariate analysis when the ratios of the population variances are unknown. Biometrika, 41, 19-43.
6.
Johansen, S. (1980). The Welch-James approximation of the distribution of the residual sum of squares in weighted linear regression. Biometrika, 67, 85-92.
7.
Tomarken, A. J. and Serlin, R. C. (1986). Comparison of ANOVA alternatives under variance heterogeneity and specific noncentrality structures. Psychological Bulletin, 99, 90-99.
8.
Welch, B. L. (1947). The generalization of Student's problem when several different population variances are involved. Biometrika, 34, 28-35.
9.
Welch, B. L. (1951). On the comparison of several mean values: An alternative approach. Biometrika, 38, 330-336.