ANOVA Calculator

Confidence for CD:  90% 95% 99% ANOVA Type:  One-Way ANOVA Two-Way ANOVA

Paste data (first row = headers). Accepted separators: tab, comma, or semicolon.

Select Variables

Grouping Factor

Response Variable(s) (numeric)

Factor 1

Factor 2

Response Variable(s) (numeric)

Result View:  Combined Table Separate Tables

Introduction

This online tool is designed to help you quickly perform a one-way or two-way ANOVA (Analysis of Variance) and interpret the results. It's built for educational purposes and for quick checks of experimental data.

How to Use

1. Select the desired ANOVA type (One-Way or Two-Way) and the confidence level for the Critical Difference (CD) test.
2. Copy and paste your data into the input box. The first row should contain the column headers. The tool automatically accepts data separated by commas, tabs, or semicolons. Use the "Load Demo" button for an example.
3. Click "Load Data". The tool will then identify and categorize your columns.
4. Select your "Grouping Factor(s)" and the "Response Variable(s)" from the buttons that appear.
5. Click "Run Analysis" to see the ANOVA table and key results. You can choose to view a combined table for multiple responses or separate tables for each.

What is ANOVA?

ANOVA is a statistical method used to test for significant differences between the means of two or more groups.

• One-Way ANOVA: Used when you have one categorical independent variable (the "Factor") and one numeric dependent variable (the "Response"). It tells you if there is a significant difference among the means of the factor's levels.
• Two-Way ANOVA: Used when you have two categorical independent variables (Factor 1 and Factor 2) and one numeric dependent variable (Response). It tests for the effects of each factor individually (main effects) and also the combined effect of the two factors (interaction effect). A significant interaction means that the effect of one factor depends on the level of the other.

What is Critical Difference (CD)?

The Critical Difference, often referred to as Fisher's LSD (Least Significant Difference), is a post-hoc test. It is used to make pairwise comparisons between group means to determine which specific groups are significantly different from each other.

Important: You should only use the CD test for a factor or interaction if its corresponding ANOVA F-test is statistically significant (i.e., its p-value is less than your chosen significance level, typically 0.05). If the F-test is non-significant, it means there is no overall difference, and performing individual comparisons is not statistically valid.

This tool will automatically display "NS" (Not Significant) for the CD value if the ANOVA test for that effect is non-significant, guiding you to interpret the results correctly.

Disclaimer

This tool is for quick, indicative analysis. For critical research or professional applications, always consult a qualified statistician or use professional statistical software to ensure all assumptions of the ANOVA model are met.