Use this calculator to perform Levene's Test for Homogeneity of Variances, a statistical procedure to assess the equality of variances among different groups. This tool is designed for statisticians and researchers who need to validate assumptions for various statistical tests.
All calculations are based on the methodologies outlined in the authoritative source: Stats Kingdom - Levene's Test. All calculations adhere strictly to the formulas and data provided by this source.
The formula for Levene's Test is defined as follows using LaTeX:
\[ F = \frac{\left(\frac{N-k}{k-1}\right) \times \frac{\sum_{i=1}^{k} n_i (Z_{i\cdot} - Z_{\cdot\cdot})^2}{\sum_{i=1}^{k} \sum_{j=1}^{n_i} (Z_{ij} - Z_{i\cdot})^2} \]
Consider three groups of data. Input your data into the fields and press "Calculate" to see how the calculation is performed step-by-step using the formula above.
Levene's Test is used to assess the equality of variances across different groups, which is a critical assumption in various statistical tests like ANOVA.
Data from each group is input into the calculator, and the test computes the F-statistic and p-value to determine variance equality.
A significant p-value suggests that the variances are not equal across the groups.
Homogeneity of variances is a key assumption for parametric tests like ANOVA, ensuring that the test results are valid.