# T-test and ANOVA suggesting different results?

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.

• How many participants were in each group for your IVs? Also, what were the p-values when you ran the ANOVA?
– Nate
Dec 14, 2019 at 22:38
• Yes, please give us the ANOVA and t-test results. It seems that the group effect was significant? But that was mainly driven by females? Jul 15, 2023 at 11:34