#### Question Details

[answered] 1. As sample variances increases, what happens to the likel

**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 r ^{2} and Cohen's d?**

a. the likelihood decreases and measures of effect size decrease

b. the likelihood increases and measures of effect size decrease

**2. One sample has a variance of s ^{2} = 10 and a second sample has a variance of s^{2} = 6. If the two samples have the same number of scores, what is the pooled variance for the two samples?**

a. 14

b. 4

c. cannot answer without knowing the sample size

d. 8

**3. For the independent-measures t statistic, what is the effect of increasing the sample variances?**

a. decrease the likelihood of rejecting H_{0} and decrease measures of effect size

b. increase the likelihood of rejecting H_{0} and increase measures of effect size

c. decrease the likelihood of rejecting H_{0} and increase measures of effect size

d. increase the likelihood of rejecting H_{0} and decrease measures of effect size

**4. 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 samples

b. a sample mean difference of 10 points with SS = 10 for both samples

c. a sample mean difference of 10 points with SS = 20 for both samples

d. a sample mean difference of 5 points with SS = 10 for both samples

**5. 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 r ^{2} then the value of r^{2} for the study would be _______________________**

a. the value of r^{2} cannot be determined from the information provided

b. r^{2} = 4/40 = .10

c. r^{2} = 4.00

d. r^{2} = 4/10 = .40

**6. A researcher obtains t = 4.00 and M _{D} = 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 r^{2}?**

a. 16/97

b. cannot be determined without additional information

c. 9/4

d. 16/81

**7. Which of the following samples will produce the largest value for a t statistic? Assume each sample has n = 10 scores.**

a. M_{D} = 10 with SS = 20

b. M_{D} = 5 with SS = 20

c. M_{D} = 5 with SS = 40

d. M_{D} = 10 with SS = 40

**8. The results from an independent-measures research study indicate that there are significant differences between treatments, F(2, 30) = 4.80, p < .05**

a. 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)**

Source | SS | Df | MS | |

Between treatments | (?)___________________________ | (?)___________________________ | 20 | F=(?)___________________________ |

Within? treatments | (?)___________________________ | (?)___________________________ | (?)___________________________ | |

Total | 124 | (?)___________________________ |

**10. The following data are constructed so that there is no variability inside any of the treatment conditions**

a. Before you begin any calculations, predict what value should be obtained for *SS _{within}*. (Hint: How big are the differences within treatments?)

b. Calculate *SS _{total}*

_{}and

*SS*. You should find that all of the variability in the data is between-treatments variability (

_{between}*SS*

_{total}_{}=

*SS*)

_{between}??????????????????????????????????????????????????????????????????????????????????????????????????????????????? Treatment | |||

I | II | III | |

4 | 2 | 6 | N = 12 |

4 | 2 | 6 | G = 48 |

4 | 2 | 6 | EX^{2} = 224 |

4 | 2 | 6 | |

M = 5 | M = 2 | M = 1 | |

SS = 2 | SS = 8 | SS = 2 |

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