<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
It tests the null hypothesis that the population variances are equal