Assume we have a study where we compared 3 groups in terms of how much they love Star Wars (a continuous outcome measure). If the 3 groups' means were substantially different from one another, then we would conclude that _______" a. the null hypothesis is true b. there is almost no error in our prediction c. it is better to predict someone's score from group means instead of the grand mean d. the group means are all pretty close to the grand mean The standard error for b in the general linear model represents _________ a. the amount of error in the outcome variable b. the degree to which the parameter estimate (b) is expected to vary across different (hypothetical) samples c. the spread of scores on the corresponding predictor variable d. the mean of the (hypothetical) sampling distribution of parameter estimates (bs) across many replications
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This would lead us to reject the null hypothesis, which states that there is no difference between the groups. So, the correct answer is: c. it is better to predict someone's score from group means instead of the grand mean For the second question, the standard Show more…
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Multiple Choice 9. Rejecting the null hypothesis in an ANOVA means... a. there are no significant differences between the means b. all of the means are significantly different from one another c. there is a large effect size d. at least one of the means is significantly different from the others 10. The one-way ANOVA assumes that... a. scores are not normally distributed b. the variances are heterogeneous c. observations are independent of one another d. all of the above are correct 11. When there is a significant F test, Fisher's LSD is used to : a. find out which means are significantly different b. avoid calculating an ANOVA c. find out the amount of variability in our samples d. avoid calculating a repeated t-test e. none of the above are correct 12. Eta squared (η²) is an estimation of: a. magnitude of effect b. variance c. power d. sampling error
Adi S.
Suppose that in a study scores in Group One were randomly paired with scores in Group Two, and then we calculated the standard error for the difference scores. How would this standard error value compare with the standard error of the sampling distribution of mean differences? a. its value would be substantially smaller b. its value would be substantially larger c. its values would be about the same d. as this calculation is different from the calculation for the standard error for mean differences they are not comparable
Md.Daniyal A.
The following data are taken from three different populations known to be normally distributed, with equal population variances based on independent simple random samples. $$ \begin{array}{ccc} \text { Sample 1 } & \text { Sample 2 } & \text { Sample 3 } \\ \hline 35.4 & 42.0 & 43.3 \\ \hline 35.0 & 39.4 & 48.6 \\ \hline 39.2 & 33.4 & 42.0 \\ \hline 44.8 & 35.1 & 53.9 \\ \hline 36.9 & 32.4 & 46.8 \\ \hline 28.9 & 22.0 & 51.7 \\ \hline \end{array} $$ (a) Test the hypothesis that each sample comes from a population with the same mean at the $\alpha=0.05$ level of significance. That is, test $H_{0}: \mu_{1}=\mu_{2}=\mu_{3}$ (b) If you rejected the null hypothesis in part (a), use Tukey's test to determine which pairwise means differ using a familywise error rate of $\alpha=0.05 .$ (c) Draw boxplots of each set of sample data to support your results from parts (a) and (b).
Comparing Three or More Means
Post Hoc Tests on One-Way Analysis of Variance
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