==== 回归分析的方差分析检验 (ANOVA test of regression analysis)==== * 如果自变量X不能够显著预测因变量Y,那表明Y的变化完全是由于随机因素导致的;如果自变量X能够显著预测因变量Y,那么自变量X对因变量Y的解释方差应该显著大于随机因素对因变量Y的解释方差。 * If the independent variable X cannot significantly predict the dependent variable Y, it indicates that the change in Y is entirely due to random factors. If the independent variable X can significantly predict the dependent variable Y, then the explanatory variance of the independent variable X for the dependent variable Y should be significantly greater than the explanatory variance of the random factor for the dependent variable Y. * 回归分析的方差检验结果如下图所示: * {{::假设检验.png?400|}} * The results of ANOVA test for regression analysis are shown in the figure above. ---- ==== 路径系数的假设检验 ==== * 路径系数的假设检验包括截距项的假设检验和自变量的路径系数的假设检验 * 二者的虚无假设都是μ=0,这意味着二者都是和0进行比较,如果显著的不等于0,表明存在显著的预测效应;否则不存在显著的预测效应 * {{::回归检验.png?400|}}