I'd like to start off by saying I am very much a beginner to statistical analyses, so I might be missing some key ideas here.
Context: My study involves an experimental group and control group that received different exercises. Within the groups, some participants identified as male, some as female. I measured participant satisfaction in completing the exercises.
Question: I want to know if the experiences of female students within the two groups differed in terms of how satisfied they were.
Tests run: (1) A two-way ANOVA with female/male + group (experimental or control) as my two independent variables, and satisfaction measure (based on survey of scale questions) as dependent variable. (2) I conducted t-test of just female students and compared their motivation ratings in experimental vs. control group, and another t-test of just male students and compared their satisfaction ratings in experimental vs. control group.
Results: (1) The ANOVA showed non-significant effects (p > 0.05) for both gender, and gender * group interaction. (2) The t-tests showed that female students had significantly higher satisfaction in experimental group, and male students had no difference in satisfaction among the two groups.
Question: Doesn't the results of (2) suggest an interaction effect? Unless I'm misunderstanding what ANOVA results mean completely.. I checked all assumptions of normality and equality of variances before running each of the tests using SPSS.