In: Math
Briefly explain how Levene Test is used. Give an example to illustrate.
Levene's test is used to test different sample variance's equality i.e; homoscedasticity. The test assumes that the variances are equal among different sample groups. It is similar to one way ANOVA.The levene test is define
H0: σ21=σ22=…=σ2k
Ha: σ2i≠σ2j for at least one pair (i,j).
The levene's test statistics is defined for a given variable Y
with sample size N of subgroup k each having Ni sample size and
example is provided in picture attached with this answer.