I ran a 4 X 2 X 5 three-way factorial ANOVA to explore any viable variance in EI (Emotional intelligence) across the participants' age, gender, and YTEx (years of teaching experience), and found out that the main effects were not significant, whereas the three-way interaction was. I followed up on this finding using simple effects tests through modifying SPSS syntax as recommended by many researchers, including IBM's website. The Simple effects tests' outcome in SPSS seems to be complex, and I found myself overwhelmed with many tables, not knowing what to report exactly! I would immensely be grateful if you could help me sort this out. Attached below are the screenshots of the significant values in SPSS ANOVA outcome. Thank you :)
NB.
Age has 4 levels (21-30 /31-40 / 41-50 / 50+)
Gender has 2 levels (Male and female)
YTEx has 5 levels (Teacher trainee / Less than 2 yrs/ 2-5 / 5-10 / 10+ )
https://www.theanalysisfactor.com/interactions-main-effects-not-significant/
The statistical significance of the 3 factor interaction indicates the nature of variation of the response variable w.r.t any one of these 3 factors is strongly dependant on the factor settings of the other two factors, in such situation it is immaterial whether the individual main effects the statistically significant or not, the response model associated with this ANOVA setup is strictly a non additive type model.
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