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Testing Equality of Means and Simultaneous Confidence Intervals in Repeated Measures with Missing Data

✍ Scribed by Takashi Seo; Muni Shanker Srivastava


Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
207 KB
Volume
42
Category
Article
ISSN
0323-3847

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✦ Synopsis


In this paper, repeated measures with intraclass correlation model is considered when the observations are missing at random. An exact test for the equality of the mean components and simultaneous confidence intervals (Scheffe Β΄and Bonferroni inequality types) are given for linear contrasts of the mean components when the missing observations are of a monotone type. When the missing observations are not of the monotone type, the maximum likelihood estimates are obtained numerically by iterative methods given in Srivastava and Carter (1986). These estimators are then used to obtain asymptotic tests and confidence intervals for the equality of mean components and linear contrasts, respectively. An example is given to illustrate the method.


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A statistic 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 miming on one of the variates. The distribution of the statistic is approximated by a normal distribution unde