Percentage of variance accounted


Two separate samples, each with n=12 individuals, receive two different treatments. After treatment, the first sample has SS=1740 and the second has SSA=1560. A) Find the pooled variance for the two samples B) Compute the estimated standard error for the sample mean difference. C) If the sample mean difference is 8 points, is this enough to reject the null hypothesis and conclude that there is a significant difference for a two-tailed test at the .05 level? D) If the sample mean difference is 12 points, is this enough to indicate a significant difference for a two-tailed test at the .05 level? E) Calculate the percentage of variance accounted for (r^2) to measure the effect size for an 8-point mean difference and for a 12-point mean difference.

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Basic Statistics: Percentage of variance accounted
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