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.