General MANOVA

Univariate Statistics - ANOVA Table for Usability

  

When you do a general MANOVA, you can choose to calculate the univariate statistics to examine the individual responses.

The most important statistic in the analysis of variance table is the p-value (P), which exists for each term in the model (except for the error term). The p-value for a term tells you whether the effect for that term is significant:

·    If P is less than or equal to the a-level you selected, then the effect for the term is significant.

·    If P is larger than the a-level you selected, the effect is not significant.

If a factor is significant, the level means for the factor are significantly different from each other.

If an interaction term is significant, the effects of each factor are different at each level of the other factors. For this reason, you should not analyze the individual effects of terms involved in significant higher-order interactions.

Example Output

Analysis of Variance for Usability, using Adjusted SS for Tests

 

Source         DF   Seq SS   Adj SS    Adj MS     F      P

Method          1  31.2644  29.0738  29.0738  32.72  0.000

Plant           2   1.3664   1.4989   0.7495   0.84  0.436

Method*Plant    2   7.0987   7.0987   3.5494   3.99  0.024

Error          56  49.7543  49.7543   0.8885

Total          61  89.4839

Interpretation

In the door lock analysis, you assessed the effects of method, plant, and the method-by-plant interaction for their usability responses. Assuming that you chose the common a-level of 0.05 for the test, the results indicate that the p-value for the interaction term (0.024) is less than 0.05. Thus, the interaction is significant, which means that the method effects differ across plants. You should not interpret the main effects of method and plants because of this interaction.