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Testing Equality of Means and Simultaneous Confidence Intervals in Repeated Measures with Missing Data
Authors:Takashi Seo  Muni Shanker Srivastava
Abstract: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 (Scheffé 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.
Keywords:Contrasts  Intraclass correlation model  Maximum likelihood estimates  Missing observations  Newton raphson method
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