摘要:

This article develops some general theory for testing the rank of a matrix. Applications include tests of interaction in two-factor experiments that are more powerful than the usualFtest for certain reasonable alternatives. The particular tests studied are (a) the likelihood ratio (LR) test of rank(M) = 0 versus rank(M) =r, whereMis a matrix of expectations, and (b) the union-intersection (UI) test of rank(M) = 0 versus rank(M) ≥r. In the two-factor application,Mis theaXbmatrix of interaction parameters. The UI test that the interaction has rank = 0 versus rank ≥ 1 is a simultaneous test that all product interaction contrasts are zero. It is shown that the asymptotic distributions of the UI and LR test statistics are identical. A distinct advantage of the UI test is that the small-sample null distribution of the test statistic is known and can be computed. Tables of exact percentiles of the UI test statistic for testing rank(M) = 0 against rank(M) ≥ 1 are given. The UI test is illustrated by testing the rank of a matrix of interaction parameters in a two-factor experiment.

ISSN:0162-1459    

DOI:10.1080/01621459.1986.10478267

出版商:Taylor & Francis Group    

年代:1986

数据来源: Taylor

摘要:

An Economic Analysis of Crime and Justice: Theory, Methods, and Applications. Peter Schmidt and Ann D. Witte. Orlando, FL: Academic Press, 1984. xiv + 416 pp. $60.00. Reviewed by Christopher J. Flinn

ISSN:0162-1459    

DOI:10.1080/01621459.1986.10478268

出版商:Taylor & Francis Group    

年代:1986

数据来源: Taylor

摘要:

This article has no abstract

ISSN:0162-1459    

DOI:10.1080/01621459.1986.10478226

出版商:Taylor & Francis Group    

年代:1986

数据来源: Taylor