Question

To test whether animal subjects consume the same amounts of sweet-tasting solutions, a researcher has subjects consume one of three sweet-tasting solutions (sucrose, saccharine, or polycose). The amount consumed (in milliliters) of each solution is given in the table. Compute eta-squared. (10 points) Type of Sweet Taste Solution 10 10 Sucrose Saccharin Polycose x2 = 2678 G 278 N 30 12 13 9 7 9 12 12 10 12 10 10 100 10 10 16 76 10 7.6 16.4 102 10 10.2 27.6

Answer 1

$SS_{effect}=\sum_{i=1}^3\frac{T_i^2}{10}-\frac{G^2}{30}=(100^2+76^2+102^2)/10-278^2/30=41.86667\\ SS_{Total}=\sum_{i=1}^3\sum_{j=1}^{10} X^2_{ij}-\frac{G^2}{30}=2678-278^2/30=101.8667 \\\eta^2=SS_{effect}/SS_{Total}=41.86667/101.8667=0.41$