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General MANOVAUnivariate 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 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.