Analysis of dispersion with incomplete observations on one of the characters

Radhakrishna Rao, C. (1956) Analysis of dispersion with incomplete observations on one of the characters Journal of the Royal Statistical Society - Series B: Statistical Methodology, 18 (2). pp. 259-264. ISSN 1369-7412

Full text not available from this repository.

Official URL: http://www.jstor.org/stable/2983712

Abstract

In analysis of dispersion (multivariate generalization of the analysis of variance) Wilks' Λ criterion for testing hypotheses on all the multiple characters simultaneously cannot be applied if some observations on one or more of the characters are missing. In this article is provided a suitable criterion when data become incomplete due to missing observations in one of the characters only. This is the likelihood ratio criterion with a slight modification. The exact moments of this criterion have been found and the distribution has been exhibited in an asymptotic series with the first few terms providing a powerful approximation. Using only the first term one Chi-square and two variance ratio approximations have been suggested, and the Chi-square approximation is recommended for use as the other approximations by themselves without correction terms seem to distort the probabilities.

Item Type:Article
Source:Copyright of this article belongs to John Wiley and Sons.
ID Code:54755
Deposited On:12 Aug 2011 12:57
Last Modified:12 Aug 2011 12:57

Repository Staff Only: item control page