In this paper, we generalize the proof of the Cochran statistic in the case of an ANOVA two ways structure that asymptotically follows a Chi-2. While construction of homogeneity statistics test usually resorts to the ...In this paper, we generalize the proof of the Cochran statistic in the case of an ANOVA two ways structure that asymptotically follows a Chi-2. While construction of homogeneity statistics test usually resorts to the determination of the covariance matrix and its inverse, the Moore-Penrose matrix, our approach, avoids this step. We also show that the Cochran statistic in ANOVA two ways is equivalent to conventional homogeneity statistics test. In particular, we show that it satisfies the invariance property. Finally, we conduct empirical verification from a meta-analysis that confirms our theoretical results.展开更多
In this paper, I want to talk about my experience of English testing in vocational schools and share my ideas about the relations between English teaching and testing in vocational schools so that a better way of test...In this paper, I want to talk about my experience of English testing in vocational schools and share my ideas about the relations between English teaching and testing in vocational schools so that a better way of testing English may be carried out in vocational schools.展开更多
文摘In this paper, we generalize the proof of the Cochran statistic in the case of an ANOVA two ways structure that asymptotically follows a Chi-2. While construction of homogeneity statistics test usually resorts to the determination of the covariance matrix and its inverse, the Moore-Penrose matrix, our approach, avoids this step. We also show that the Cochran statistic in ANOVA two ways is equivalent to conventional homogeneity statistics test. In particular, we show that it satisfies the invariance property. Finally, we conduct empirical verification from a meta-analysis that confirms our theoretical results.
文摘In this paper, I want to talk about my experience of English testing in vocational schools and share my ideas about the relations between English teaching and testing in vocational schools so that a better way of testing English may be carried out in vocational schools.
