One-Way ANOVA

Analysis of Variance Table - Analysis of Variance Table Statistics

  

The most important statistics in the analysis of variance table is the p-value. This value tells you whether the level means are significantly different from each other.

·    If the p-value is less than or equal to the a-level you have selected, one or more means are significantly different.

·    If the p-value is larger than the a-level you have selected, the means are not significantly different.

If the ANOVA results indicate that there are significant differences, you can look at the individual statistics and confidence intervals to learn more about the differences.

Example Output

Analysis of Variance

 

Source  DF  Adj SS  Adj MS  F-Value  P-Value

Paint    3   281.7   93.90     6.02    0.004

Error   20   312.1   15.60

Total   23   593.8

Interpretation

The p-value for the paint hardness ANOVA is 0.004. Thus, assuming you chose the commonly used a-level of 0.05 for the test, you would conclude that there are significant differences in hardness between the paint blends.