I demonstrate how to perform and interpret three different Levene's tests within SPSS. The "regular" Levene's test available through the ANOVA procedure, as well as two versions of Levene's that are robust to non-normal distributions and unequal sample sizes. The first robust Levene's test is known as the Brown-Forsythe test. The second robust test is known as the nonparametric Levene's test, which is based on ranked data.
To reference the second robust test:
Nordstokke, D. W., & Zumbo, B. D. (2010). A new nonparametric Levene Test for Equal Variances, Psicologica, 31, 401-430