A sample of n = 16 scores produces a t statistic of t = 2.00.If the sample is used to measure effect size with r²,what value will be obtained for r²?
A)r² = 2/20
B)r² = 4/20
C)r² = 2/19
D)r² = 4/19

Question

Quizplus · Accepted Answer

The effect size $r^2$ can be calculated using the formula $r^2 = \frac{t^2}{t^2 + df}$, where $df$ (degrees of freedom) is $n - 1$. Here, $t = 2$ and $n = 16$, so $df = 16 - 1 = 15$. Plugging these values into the formula gives $r^2 = \frac{2^2}{2^2 + 15} = \frac{4}{19}$.

A Sample of N = 16 Scores Produces a T