数独方阵模型的协方差分析,对伴随变量无治疗效果

A. Shehu, N. S. Dauran, G. A. Usman
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引用次数: 0

摘要

在方差分析(ANOVA)模型中包含伴随变量,表明该模型属于方差分析模型,前提是伴随变量和响应变量之间存在相关性。本研究采用数字图解分析了对伴随变量无治疗效果的数独方阵模型的协方差分析--图解结果表明,方差分析数独方阵模型的误差方差分别为:模型 I 从 12.7761 降至 5.5152;模型 II 从 13.6898 降至 6.4690;模型 III 从 15.7926 降至 4.8160;模型 IV 从 16.5152 降至 4.9226,其中伴随变量被纳入模型是合理的。结果表明,四个方差分析模型的调整治疗效果相似,每个方差分析模型的相关系数都是高度正相关,方差分析模型得到的误差均方根小于数独方差分析模型得到的误差均方根值。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Analysis of Covariance of Models of Sudoku Squares with no Treatment Effects on Concomitant Variable
Inclusion of concomitant variable(s) in an analysis of variance (ANOVA) model is an indication that the model is of ANCOVA model provided that there is correlation between the concomitant and response variable. This study employ numerical illustrations of the analysis of covariance of models of Sudoku square with no treatment effects on concomitant variable- Result of the illustration, showed that error variance from the ANCOVA Sudoku square models reduced 12.7761 to 5.5152 for model I; 13.6898 to 6.4690 for model II; 15.7926 to 4.8160 for model III and 16.5152 to 4.9226 for model IV respectively in which the concomitant variable had justified its inclusion in the models. The results showed that adjusted treatment effect is similar across the four ANCOVA models, the correlation coefficient for each of the ANCOVA model is highly positively and the error mean square obtained for ANCOVA models are less than the values of error mean square obtained for ANOVA models of Sudoku square.
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