A researcher reports a significant effect with t(14)= 3.24.Compute $\eta$² for this result. A) $\eta$² = 0.43 (large effect size) B) $\eta$² = 0.43 (medium effect size) C) $\omega$² = 0.37 (large effect size) D) $\omega$² = 0.37 (medium effect size)

Question

Quizplus · Accepted Answer

The correct formula to compute the effect size from a t-test is $ \eta^2 = \frac{t^2}{t^2 + df} $. Given t(14)=3.24, we calculate $ \eta^2 = \frac{3.24^2}{3.24^2 + 14} = \frac{10.4976}{10.4976 + 14} = \frac{10.4976}{24.4976} \approx 0.428 $, which rounds to 0.43, indicating a large effect size according to conventional benchmarks.

A Researcher Reports a Significant Effect with T(14)= 3 η\etaη 2 for This Result

A Researcher Reports a Significant Effect with T(14)= 3 $\eta$ ² for This Result