What is the Two-Way ANOVA Calculator?

The Two-Way ANOVA Calculator is a statistical tool used to analyze the effect of two independent factors on a continuous dependent variable. It allows researchers to determine whether the means of different groups differ significantly across two factors, and also whether there is an interaction effect between the factors. By entering data values row-wise and specifying the number of levels for each factor, the calculator computes the grand mean, factor means, sums of squares, degrees of freedom, mean squares, and F-statistics for each factor. This makes it easy to quickly assess the statistical significance of both main effects and interaction effects in experimental or observational data.

How to Use:

1. Enter Data Values: Input all data values separated by commas, row by row.
2. Specify Rows and Columns: Enter the number of rows (levels of factor A) and columns (levels of factor B).
3. Click “Calculate”: The calculator computes the necessary ANOVA components, including sums of squares (SSA, SSB, SSE), degrees of freedom (dfA, dfB, dfE), mean squares (MSA, MSB, MSE), and F-statistics (FA, FB).
4. Interpret Results: The results show factor means, the grand mean, and F-statistics, which can be compared with critical F-values to test significance.