Testing Equality of Means in the Presence of Correlation and Missing Data

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Abstract

A statistic, derived from the combination of two dependent tests, is proposed for testing the hypothesis of equality of the means of a bivariate normal distribution with unknown common variance and correlation coefficient when observations are missing on one or both variates. The null distribution of the statistic is approximated by a well‐known distribution. The empirical powers of the statistic are computed and compared with some of the known statistics. The comparisons support the use of the proposed test.

Original languageEnglish (US)
Pages (from-to)63-72
Number of pages10
JournalBiometrical Journal
Volume33
Issue number1
DOIs
StatePublished - 1991

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Keywords

  • Bivariate normal
  • Convex combination
  • Equality of means
  • Incomplete data

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