Simultaneous Confidence Intervals for the General Linear Model
Copyright policy )Simultaneous Confidence Intervals for the General Linear Model
This paper describes, compares, and illustrates four known simultaneous confidence interval procedures for the general linear model. It is shown that three of the four procedures can be ordered by the increasing length of their confidence intervals as follows: (i) Šidák multivariate t- distribution intervals, (ii) Šidák independent t-distribution intervals, and (iii) Bonferroni intervals. There is no uniform ordering between the confidence intervals yielded by the fourth procedure (Scheffé) and the other three; these relationships are explored numerically.
tables, Parametric tolerance and confidence regions, numerical comparisons, Probabilistic methods, stochastic differential equations, general linear model, Šidák independent t-distribution intervals, Šidák multivariate t-distribution intervals, Paired and multiple comparisons; multiple testing, Scheffé procedures, Bonferroni intervals, positive lower orthant dependence, simultaneous confidence interval procedures
tables, Parametric tolerance and confidence regions, numerical comparisons, Probabilistic methods, stochastic differential equations, general linear model, Šidák independent t-distribution intervals, Šidák multivariate t-distribution intervals, Paired and multiple comparisons; multiple testing, Scheffé procedures, Bonferroni intervals, positive lower orthant dependence, simultaneous confidence interval procedures
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