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As sample variances increases, what happens to the likelihood

1. As sample variances increases, what happens to the likelihood of rejecting the null hypothesis and what happens to measures of effect size such as r2 and Cohen’s d?a. the likelihood decreases and measures of effect size decreaseb. the likelihood increases and measures of effect size decrease2. One sample has a variance of s2 = 10 and a second sample has a variance of s2 = 6. If the two samples have the same number of scores, what is the pooled variance for the two samples?a. 14b. 4c. cannot answer without knowing the sample sized. 83. For the independent-measures t statistic, what is the effect of increasing the sample variances?a. decrease the likelihood of rejecting H0 and decrease measures of effect sizeb. increase the likelihood of rejecting H0 and increase measures of effect sizec. decrease the likelihood of rejecting H0 and increase measures of effect sized. increase the likelihood of rejecting H0 and decrease measures of effect size4. Which of the following sets of sample data would produce the largest value for an independent-measures t statistic? Assume that n = 10 for all samples.a. a sample mean difference of 5 points with SS = 20 for both samplesb. a sample mean difference of 10 points with SS = 10 for both samplesc. a sample mean difference of 10 points with SS = 20 for both samplesd. a sample mean difference of 5 points with SS = 10 for both samples5. A researcher obtains a t statistic of t = 2.00 from a repeated measures study using n = 7 participants. If the effect size is measured using r2 then the value of r2 for the study would be _______________________a. the value of r2 cannot be determined from the information providedb. r2 = 4/40 = .10c. r2 = 4.00d. r2 = 4/10 = .406. A researcher obtains t = 4.00 and MD = 9 for a repeated-measures study. If the researcher measures effect size using the percentage for variance accounted for, what value will be obtained for r2?a. 16/97b. cannot be determined without additional informationc. 9/4d. 16/817. Which of the following samples will produce the largest value for a t statistic? Assume each sample has n = 10 scores.a. MD = 10 with SS = 20b. MD = 5 with SS = 20c. MD = 5 with SS = 40d. MD = 10 with SS = 408. The results from an independent-measures research study indicate that there are significant differences between treatments, F(2, 30) = 4.80, p < .05a. How many treatments were compared in the study?b. How many individuals participated in the entire study?9. The following summary table presents the results from an ANOVA comparing three treatment conditions with n = 8 participants in each treatment. Complete all missing values. (hint: start with df column)SourceSSDfMSBetweentreatments(?)___________________________(?)___________________________20F=(?)___________________________Within treatments(?)___________________________(?)___________________________(?)___________________________Total124(?)___________________________10. The following data are constructed so that there is no variability inside any of the treatment conditionsa. Before you begin any calculations, predict what value should be obtained for SSwithin. (Hint: How big are the differences within treatments?)b. Calculate SStotaland SSbetween. You should find that all of the variability in the data is between-treatments variability (SStotal= SSbetween) TreatmentIIIIII426N = 12426G = 48426EX2 = 224426M = 5M = 2M = 1SS = 2SS = 8SS = 2

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