In this paper, a new design-oriented two-stage two-sided simultaneous confidence intervals, for comparing several exponential populations with control population in terms of location parameters under heteroscedasticity, are proposed. If there is a prior information that the location parameter of...

A test statistic based on isotonic estimators for testing homogeneity of variances of several normal populations against a simple tree ordered alternative is proposed. Null distribution of the proposed test statistic is derived and the critical constants required for the implementation of the...

For general inferential families with a mixture of one- and two-sided inferences two procedures are proposed to compare several treatments with a control under heteroscedasticity. Critical constants required for the proposed procedures are tabulated, and a numerical example is given.

Consider the problem of comparing variances of k populations with the variance of a control population. When the experimenter has a prior expectation that the variances of k populations are not less than the variance of a control population, one-sided simultaneous confidence intervals provide...