本論文將融合 Welch(1938) 與 Wu et al.(2006) 方法之概念, 提出
PCT-like 檢定, 使用兩種近似虛無分配作為 PCT-like 檢定量之虛無分配 ,來解決高維 Behrens-Fisher 問題。 並以模擬實驗, 比較兩者與 Yao(1965) 法、 Kim(1992) 法和 Wu et al.(2006) 法之型一誤差率及檢定力。 結果顯示, PCT-like 法之型一誤差率在多數情況接近目標值, 而檢定力皆與其他法表現相當。 本文亦對現存的 「母體變異是否相等」 檢定法作了比較。 最後以柏拉圖作品風格與大腸癌篩檢資料作為實證。

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