One-Way ANOVA

Welch's Test Table

  

Minitab uses the Welch procedure only when you do not assume that all populations have equal variances. The most important statistic in the Welch's test 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 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

Welch's Test

 

         DF

Source  Num   DF Den  F-Value  P-Value

Paint     3  10.8423     5.36    0.016

Interpretation

The p-value for the paint hardness ANOVA is 0.016. 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.