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ANOVA stands for ANalysis Of VAriance, a statistical model and set of procedures for comparing multiple group means. The independent variables in an ANOVA model are categorical, but an ANOVA table can be used to test continuous variables as well.

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A two mixed ANOVA showed no significant interaction, but showed a statistically significant ...

That is why you use a mixed ANOVA. If your aim would be: to compare pretraining and posttraining scores (irrespective of the group), you would use a paired t-test. …
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