<P> In statistics , Levene 's test is an inferential statistic used to assess the equality of variances for a variable calculated for two or more groups . Some common statistical procedures assume that variances of the populations from which different samples are drawn are equal . Levene 's test assesses this assumption . It tests the null hypothesis that the population variances are equal ( called homogeneity of variance or homoscedasticity ) . If the resulting p - value of Levene 's test is less than some significance level ( typically 0.05 ) , the obtained differences in sample variances are unlikely to have occurred based on random sampling from a population with equal variances . Thus , the null hypothesis of equal variances is rejected and it is concluded that there is a difference between the variances in the population . </P>
<P> In statistics , Levene 's test is an inferential statistic used to assess the equality of variances for a variable calculated for two or more groups . Some common statistical procedures assume that variances of the populations from which different samples are drawn are equal . Levene 's test assesses this assumption . It tests the null hypothesis that the population variances are equal ( called homogeneity of variance or homoscedasticity ) . If the resulting p - value of Levene 's test is less than some significance level ( typically 0.05 ) , the obtained differences in sample variances are unlikely to have occurred based on random sampling from a population with equal variances . Thus , the null hypothesis of equal variances is rejected and it is concluded that there is a difference between the variances in the population . </P>
purpose of significant test of levene 's test for equality of variances
purpose of significant test of levene 's test for equality of variances
It tests the null hypothesis that the population variances are equal
It tests the null hypothesis that the population variances are equal