论文信息 - The Exact Distribution of Wilks' Criterion

The Exact Distribution of Wilks' Criterion

1. Summary. In this paper the exact distribution of Wilks' likelihood ratio criterion for testing linear hypothesis about regression coefficients is discussed. The exact distribution, in the most general case, is given in simple algebraic functions which can be computed without much difficulty. Explicit expressions for the density function as well as for the cumulative distribution function are given under the null hypothesis.

A. M. Mathai | P. N. Rathie

[1] A. Erdélyi,et al. Higher Transcendental Functions , 1954 .

[2] T. W. Anderson. An Introduction to Multivariate Statistical Analysis , 1959 .

[3] Arjun K. Gupta,et al. On the exact distribution of Wilks's criterion , 1969 .

[4] G. Box,et al. A general distribution theory for a class of likelihood criteria. , 1949, Biometrika.

[5] K. C. S. Pillai,et al. Statistical Tables for Tests of Multivariate Hypotheses. , 1961 .

[6] U. S. Nair,et al. THE APPLICATION OF THE MOMENT FUNCTION IN THE STUDY OF DISTRIBUTION LAWS IN STATISTICS , 1939 .

[7] T. W. Anderson,et al. An Introduction to Multivariate Statistical Analysis , 1959 .

[8] A. Erdélyi,et al. Tables of integral transforms , 1955 .

[9] Calyampudi R. Rao,et al. Tests of significance in multivariate analysis. , 1948, Biometrika.

[10] E. S. Pearson,et al. METHODS OF STATISTICAL ANALYSIS APPROPRIATE FOR k SAMPLES OF TWO VARIABLES , 1933 .

[11] S. S. Wilks. CERTAIN GENERALIZATIONS IN THE ANALYSIS OF VARIANCE , 1932 .

[12] M. Bartlett. Further aspects of the theory of multiple regression , 1938, Mathematical Proceedings of the Cambridge Philosophical Society.

[13] P. Consul. On the Exact Distributions of the Likelihood Ratio Criteria for Testing Linear Hypotheses About Regression Coefficients , 1966 .

[14] Martin Schatzoff,et al. Exact distributions of Wilks's likelihood ratio criterion , 1966 .