參考曲線相等性之假設檢定

Abstract

驗證兩個母體的參考曲線是否具有相同型態的比較在過去的文獻上得到一些注意，例如探討迴歸參數或迴歸函數的相等性皆有文章予以討論。在公共衛生的目的上，我們在參考曲線的相等性中考慮了較具一般性理論之研究，來比較兩個國家的成長型態，並且建立了成長模型參數的相等關係。這個方法可以讓我們描繪多種有趣的長期資料追蹤模型的參考曲線，並證明用檢定迴歸參數或函數的相等性的方式來比較參考曲線是不適當的。最後我們對於比較參考曲線提出來一個正確的檢定方法。

Comparisons of reference charts for verifying if two populations of subjects have the same growth pattern have received some attention in literature. However, the proposals of comparison are restricted on equalities of regression parameters or regression functions. For public health purpose of comparing growth countries, we consider general theory of equalities of reference charts and establish its relations to equalities of growth model parameters. This approach allows us to display these relations for several interesting longitudinal growth models and these relations show that it is in-appropriate in comparing reference charts by testing equality of regression parameters or regression functions. Finally, we propose an exact test for comparisons of reference charts.