在多個相關的母體中，求各母體平均數與總母體平均數差異之信賴區間。假設資料具有共同且未知的變異數，以及具有共同已知且為非負的相關係數，結合積分與模擬的方法下求各母體平均數與總母體平均數差異之單尾及雙尾信賴區間，在相關的母體中，各母體平均數與總母體平均數差異之特定信賴區間，所必須的臨界值已經製成統計表格於附錄中。最後，將本信賴區間應用於美國大型共同基金報酬率上。

In this research we propose some multiple comparison procedures with the average when the targeted populations are correlated. Simultaneous confidence intervals are considered for normal distributions with a common unknown variance. These procedures can be used to identify
better-than-the-average, worse-than-the-average and
not-much-different-from-the-average products in car models,
agricultural treatments, commercial items, electronic
components, stock fund selection, medical equipments, and drug comparisons.

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