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Testing the Mean Vector and the Correlation Coefficient in Life-Testing Under Bivariate Normality

✍ Scribed by Prof. M. L. Tiku; P. S. Gill

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
610 KB
Volume
32
Category
Article
ISSN
0323-3847

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✦ Synopsis

Abstract

In life‐testing situations under bivariate normality of (X, U), a few smallest or a few largest Y‐observations may not be available. Tests for ΞΌ = 0 (mean vector) and o = 0 (correlation coefficient) are developed from the available Y‐observations and their concomitant X‐observations. The robustness of these tests to departures from normality is investigated.

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A statistic is proposed for testing hypotheses on the mean vector of a p-vanate normal distribution when the variance oovarianca matrix has an intraclase correlation structure. The powers of the test are computed and compared with thoee obtained from the statistics of Cox and I ~N (1982) and CLEMENT