Applied Statistics From Bivariate Through Multivariate Techniques 2nd Edition Warner - Test Bank

Applied Statistics From Bivariate Through Multivariate Techniques 2nd Edition Warner – Test Bank

 

Instant Download – Complete Test Bank With Answers

 

 

Sample Questions Are Posted Below

 

Chapter 5: Comparing Group Means Using the Independent Samples t Test

 

Multiple Choice

 

 

 

1. A variable with only two values is described as ____________ variable:
2. dichotomous
3. bivariate
4. quantitative
5. categorical

Ans: a

 

 

 

2. The null hypothesis for the independent samples t test is:
3. H₀: μ₁ ≠ μ₂
4. H₀: μ₁ < μ₂
5. H₀: μ₁ > μ₂
6. H₀: μ₁ = μ₂

Ans: d

 

 

 

3. What is not an assumption about the dependent variable in an independent samples t test:
4. the Y outcome variable must be quantitative.
5. the outcome variable should at least have an interval level of measurement.
6. the variance of the outcome variable should be different between the two groups that are compared.
7. the outcome variable should be normally distributed.

Ans: c

 

 

 

4. A t-test is considered to be robust if the:
5. variances of the outcome variable is relatively the same for both comparison groups.
6. risk of Type I error does not increase much if a violation of assumptions occurs.
7. sample sizes are large enough to have sufficient statistical power.
8. outcome variable scale of measurement is large enough to have good variability.

Ans: b

 

 

 

5. The appropriate parametric test for a within-subject design with two groups is the:
6. independent samples t-test
7. analysis of variance
8. paired samples t-test
9. repeated measures analysis of variance

Ans: c

 

 

 

6. The independent samples t-test is robust if which assumption is violated:
7. the outcome variable is not quantitative.
8. the outcome variable is not normally distributed.
9. there is no homogeneity of variance.
10. theample size is too small.

Ans: c

 

 

 

7. If variances are unequal, which would be an alternate test for the independent samples t-test:
8. Wilcoxon rank sum test.
9. Kruskal-Wallis test.
10. Wilcoxon signed-rank test.
11. Friedman analysis of variance.

Ans: a

 

 

 

8. Which combination of variables is used to calculate the pooled variance in an independent t-test:
9. n₁, n₂, x₁, x₂
10. x₁, x₂, s₁, s₂
11. n₁, n₂, s₁, s₂
12. n₁, n₂, s₁, s₂, x₁, x₂

Ans: c

 

 

 

9. Essentially, the independent samples t-test is the:
10. square root of the mean difference divided by the variance of the mean difference.
11. sum of the means divided by the pooled sample size.
12. mean difference divided by the variance of the mean difference.
13. mean difference divided by the standard error of the mean difference.

Ans: d

 

 

 

10. The degrees of freedom for the independent samples t-test is:
11. √[(n₁ – 1)(n₂ – 1)]
12. (n₁ – 1) * (n₂ – 1)
13. (n₁ + n₂) / 2
14. n₁ + n₂  – 2

Ans: d

 

 

 

11. If all other values are held constant, what happens to the value of t when n₁ and n₂ increase:
12. t increases
13. t decreases
14. (m₁ – m₂) increases
15. (m₁ – m₂) decreases

Ans: a

 

 

 

12. If all other values are held constant, what happens to the value of t when s_p decreases:
13. t increases
14. t decreases
15. (m₁ – m₂) increases
16. (m₁ – m₂) decreases

Ans: a

 

 

 

13. Which of the following design decisions affects the value of (m₁ – m₂):
14. having homogenous participants in regard to the dependent variable.
15. procedures in conducting the study are standardized.
16. the degree of separation in treatment effects between participant groups.
17. the number of participants in the two treatment groups.

Ans: c

 

 

 

14. Which of the following is not a measure of effect size:
15. η²
16. e
17. Cohen’s d
18. r_pb

Ans: b

 

 

 

15. The primary advantage of using estimates of effect size is that they :
16. are unitless measures of the outcome variable.
17. are standardized measures of the outcome variable.
18. indicate how large the value of t should be in order to have significance.
19. are independent of the sample size.

Ans: d

 

 

 

True/False

 

 

 

1. An independent-samples t-test is appropriate for measuring differences between two uncorrelated groups.

Ans: True

 

 

 

2. If the Levene test is statistically significant, the variances are considered equal and can be pooled.

Ans: False

 

 

 

3. We reject H₀ for the independent samples t-test if obtained values of t are larger in absolute value than the critical values.

Ans: True

 

 

 

4. A very small difference in the means between groups can be statistically significant with a very large sample size.

Ans: True

 

 

 

5. The maximum value of η² is ∞.

Ans: False.

 

 

 

Short Answer

 

 

 

1.What measure is an example of an ordinal dependent variable in a t test?

Ans: Likert scale

 

 

 

2. Describe what is meant by H₀: σ₁²= σ₂².

Ans: This is the null hypothesis for the assumption of homogeneity of variance. That is, the variance of Y is the same for both treatment groups.

 

 

 

3. The formula to calculate the degrees of freedom for the Levene test is _________.

Ans: (k-1, N-k) where N is the total sample size and k is the number of groups.

 

 

 

Essay

 

 

 

1. Describe issues in designing a study design with independent groups.

Ans: reasonable sample size within groups, enough groups to determine the effect of the independent variable, enough variance to detect a difference across groups.