Calculate the r² statistic for t = 3.41 and two groups of 20 individuals each. A) .08 B) .23 C) .37 D) .39

Question

Quizplus · Accepted Answer

The r² statistic, which is not a standard statistical measure and seems to be a typographical error, could be interpreted as a request for a correlation coefficient or effect size related to t-value. For a t-test with equal sample sizes in both groups, the effect size can be calculated using the formula $r = \sqrt{\frac{t^2}{t^2 + df}}$, where $df$ (degrees of freedom) = $n_1 + n_2 - 2$. With $t = 3.41$ and $n_1 = n_2 = 20$, $df = 20 + 20 - 2 = 38$. Plugging these values into the formula gives $r = \sqrt{\frac{3.41^2}{3.41^2 + 38}} \approx 0.23$.

Calculate the R2 Statistic for T = 3

Calculate the R² Statistic for T = 3