Looking at the Interaction plot, the different slopes illustrate Size of Customer is obviously significant. This indicates that the effect of Size of Customer on Average Number of Orders per Month depends on Customer Type (we could also equivalently say that the effect of Customer Type depends on Size of Customer). Customer Type is not significant by itself, but the Interaction term is significant.
From the ANOVA table, we can see that the Size of Customer term is significant with a p-value less than. Note that the mean values shown are fitted (predicted least squares) means not data means. Scroll down to view the Main Effects (with confidence intervals) and Interaction Plots:. The ANOM alpha is (100 – Confidence Level)/100). Remove Interaction (Fit Additive Model) is unchecked because ANOM Normal Two-WayĪlways includes the interaction term in the model. Note that this option is only available when We will discuss this tool later in Part P – Analysis of Means (ANOM) Charts. Display ANOM Normal Two-Way Chart should be unchecked. Remove Interaction (Fit Additive Model) and rerun the analysis. Tip: If the Two-Way ANOVA report gives a p-value for the interaction that is high (> 0.1), you should then pressį3 or click Recall SigmaXL Dialog to recall this dialog, check Remove Interaction (Fit Additive Model) should remain unchecked. Size of Customer, click Group Category Factor (X2) >. If not, check Use Entire Data Table.Īvg No of Orders per Mo, click Numeric Data Variable (Y) > selectĬustomer Type, click Group Category Factor (X1) > select 
Ensure that the entire data table is selected.
Click SigmaXL > Statistical Tools > Two-Way ANOVA. Open Customer Data.xlsx, click on Sheet 1 tab. An error message will be produced if this minimum requirement is not met. The minimum requirement is one observation per combination level of X1 and X2. Ha (Interaction): There is an interaction between factors X1 and X2.Ī Two-Way ANOVA analysis will typically have balanced data from a designed experiment, with anĮqual number of observations for each combination level of X1 and X2. H0 (Interaction): There is no interaction between factors X1 and X2 Ha (Factor X2): at least one pairwise set of means are not equal (μi ≠ μj) Ha (Factor X1): at least one pairwise set of means are not equal (μi ≠ μj) Two-Way ANOVA tests the following: H0 (Factor X1): μ1 = μe2 = …= μk
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