1973Journal of the Royal Statistical Society Series B (Statistical Methodology)Requires access

On Tukey's Confidence Intervals for the Contrasts in the Means of the Intraclass Correlation Model

Raag Bhargava, Muni S. Srivastava

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Abstract

Summary In the intraclass correlation model when the variance σ 2 and the intraclass correlation coefficient 'p are both unknown, Tukey's confidence intervals for the contrasts in the means are obtained for the fixed sample and the sequential case. In the latter case confidence intervals of fixed width are obtained and the cost of not knowing σ2 and ‘p has been studied. From these results parallel results for Scheffé's confidence intervals can easily be obtained. A recommendation for the choice between the two is also made.

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Summary In the intraclass correlation model when the variance σ 2 and the intraclass correlation coefficient 'p are both unknown, Tukey's confidence intervals for the contrasts in the means are obtained for the fixed sample and the sequential case. In the latter case confidence intervals of fixed width are obtained and the cost of not knowing σ2 and ‘p has been studied. From these results parallel results for Scheffé's confidence intervals can easily be obtained. A recommendation for the choice between the two is also made.

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Available abstract

Summary In the intraclass correlation model when the variance σ 2 and the intraclass correlation coefficient 'p are both unknown, Tukey's confidence intervals for the contrasts in the means are obtained for the fixed sample and the sequential case. In the latter case confidence intervals of fixed width are obtained and the cost of not knowing σ2 and ‘p has been studied. From these results parallel results for Scheffé's confidence intervals can easily be obtained. A recommendation for the choice between the two is also made.

Key concepts: Intraclass correlation, Confidence interval, Statistics, Mathematics, Tukey's range test, Correlation ratio, Correlation coefficient, Correlation

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