I have one continuous variable, Variable, and two categorical variables, Factor1 and Factor2, each comprising two levels. What does it mean if
1) According to a t-test, the difference in Variable between the two levels in Factor2 are statistically significant only for a subset of Factor1 (only within one of its levels).
2) The pairwise comparisons according to Tukey's Honest Significant Difference test and the F-statistic for each of the categorical variables in a 2-way ANOVA both show that the influence of these categorical variables are not significant (and interactions also not significant).
This seems like an elementary textbook question but my lack of formal statistical training is beginning to show...
Thank you in advance for your responses.