Table 4: Two-way ANOVA table for mathematics performance with motivation cluster and the educational level as independent variables ( = 386).

Source of variationSum of squaresDFMean square value

Motivation cluster (A)462.882231.4415.2170.000
Education level (B)2055.603685.2045.0520.000
A × B103.39617.231.1330.342
Error5688.2437415.20

Total49718.00386

Adjusted squared = 0.37.