主要用于对违反球形假设的数据进行校正。当数据不满足球面性时，即存在违反球形假设的情况，我们就需要对F统计量的自由度进行修正。此时，最常用的修正方法就是Greenhouse-Geisser校正。同时，需要注意的是，如果经过计算得到的estimated epsilon (ε)大于0.75时，则需使用Huynd-Feldt correction来进行校正。
TheGreenhouse-Geisser correction tends to underestimate epsilon(ε) when epsilon (ε) is close to 1 (i.e., it is a conservative correction), whilstthe Huynd-Feldt correction tends to overestimate epsilon(ε) (i.e., it is a more liberal correction). Generally, the recommendation is to use...
2010The Greenhouse-Geisser CorrectionHerv´ e Abdi1 Overview and backgroundWhen performing an analysis of variance with a one factor repeatedmeasurement design, the effect of the independent variable is testedby computing an F statistic which is computed as the ratio of the ofmean square of ...
2.1 Greenhouse-Geisser correction Box’s approach works for the population covariance matrix, but, un- fortunately, in general this matrix is not known. In order to estimate ε we need to transform the sample covariance matrix into an esti- mate of the population covariance matrix. In order to...
In Neil Salkind (Ed.),Encyclopedia of Research Design. Thousand Oaks, CA: Sage. 2010 The Greenhouse-Geisser Correction Herv′e Abdi 1 Overview and background When performing an analysis of variance with a one factor repeated measurement design, the e?ect of the independent variable is tested ...
Since the Geisser-Greenhouse correction has been shown to be a practical and effective adjustment procedure it seems reasonable that it also may be a good measure of the effect of correlation structure on the analysis. The first order autocorrelation dispersion structure may be appropriate for many ...