2×2 Factorial ANOVA Calculator – Free Statistical Tool | TaxCalculater.com

Factorial ANOVA Calculator (2×2 Design)

Input Data

Enter scores for each group (comma-separated, e.g., 70,72,74,76). Ensure each group has the same number of observations.

Factor A1, B1 (e.g., Lecture, Morning):

Factor A1, B2 (e.g., Lecture, Afternoon):

Factor A2, B1 (e.g., Online, Morning):

Factor A2, B2 (e.g., Online, Afternoon):

2×2 Factorial ANOVA Calculator – Statistical Analysis Tool

Input: Users enter comma-separated scores for each group (e.g., "70,72,74,76").

Validation: The script checks if all groups have the same number of observations and valid numbers.

Calculations:

Computes group means, factor means, and grand mean.
Calculates SS Total, SS A, SS B, SS Interaction, and SS Error.
Determines df, MS, and F-ratios.
Approximates p-values by comparing F-ratios to a critical F-value (simplified for demonstration).

Output: Displays an ANOVA table with SS, df, MS, F, and p-values.

The calculator assumes a 2×2 design for simplicity. For more complex designs (e.g., 3×2), the script would need modification.
P-values are approximated using a critical F-value. For precise p-values, integrate a statistical library like jStat.
Manual calculations are complex; software like SPSS or R is recommended for real-world analysis.
Assumptions (normality, homogeneity) should be checked before interpreting results.