Alternatives to Analysis of Covariance for Heterogeneous Regression slopes in Educational R


회귀계수가 처치집단 간에 동일하지 않을 경우 공분산분석을 대체할 수 있는 통계방법의 소개

Kim, Soyoung

피인용수 : 0(자료제공 : 네이버학술정보)



Analysis of covariance(ANCOVA) is frequently applied in educational research ignoring the fact that when the assumption of the homogeneity of regression slope within group is violated, ANCOVA is not an appropriate procedure any more. Teachers or researchers interested in educational research have used this procedure regardless of the equality of regression slope within group. The purpose of the present study is to present available alternatives to ANCOVA when the within-group regression slopes are heterogeneous: blocking or stratification, Hollingsworth’s F statistic, Johnson-Neyman procedure, Potthoff’s modified Johnson-Neyman procedure, Rogosa’s three alternatives, and Wilcox’s trimmed-mean method. Furthermore, the Potthoff’s modified Johnson-Neyman procedure and the Wilcox’s trimmed-mean method are applied under the unequal slopes condition using one numerical example presented here to introduce teachers or researchers the appropriate alternatives to ANCOVA. This study also insisted that teachers or researchers interested in educational research should know the limitation of ANCOVA and use statistical procedures appropriately.


  • Kim, Soyoung


자료제공 : 네이버학술정보

    함께 이용한 논문

      ※ 원문제공기관과의 협약기간이 종료되어 열람이 제한될 수 있습니다.

      0개의 논문이 장바구니에 담겼습니다.