The problem is considered of modeling simultaneous confidence intervals for the mean values of multiple responses in a linear multivariate normal regression model with predictor variables defined in intervals. To solve it, a numerical way of calculating the critical value that determines the simultaneous confidence interval of a given level is used. Simultaneous confidence intervals are numerically modelled and analyzed by comparison for regression, the mean value of multiple responses, and individual observation.

中文翻译：

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为预测变量建模具有矩形域的多重响应均值的同时置信带

考虑了在线性多变量正态回归模型中为多个响应的平均值建模同时置信区间的问题，其中预测变量以区间定义。为了解决这个问题，使用了一种计算临界值的数值方法，该临界值确定了给定级别的同时置信区间。同时对置信区间进行数值建模，并通过比较分析回归，多重响应的平均值和个人观察。