Overview
Chapter 11:
Hypothesis Testing Involving Three or More Population Means:
Analysis of Variance
Test Bank
1. ANOVAs are to be used when the dependent variable is interval or ratio and the independent variable is:
a. categorical with only two categories
*b. categorical with more than two categories
c. interval
d. ratio
@ Answer Location: The Logic of Analysis of Variance; Cognitive Domain: Knowledge; Question Type: MC
2. Variance is primarily concerned with:
a. normal distributions
b. hypothesis testing
*c. squared deviations from a mean
d. between groups degrees of freedom
@Answer Location: Types of Variance: Total, Between-Groups, and Within-Group; Cognitive Domain: Comprehension; Question Type: MC
3. A researcher hypothesizes that offenders who do not receive services in prison will have higher number of arrests after release than those who participate in program A. Those who participate in program A and B will have lower numbers of arrests post-release than those who only participate in program A and those who receive no services. In conducting an ANOVA with this data, how would the null hypotheses be stated?
*a. H0: all three µs are equal
b. H0: not all µs are equal
c. H0: all three µs are different
d. H0: two µs are equal
@ Answer Location: Types of Variance: Total, Between-Groups, and Within-Group; Cognitive Domain: Knowledge; Question Type: MC
4. _____________________ variability may be thought of as error.
a. Between-group
*b. Within-group
c. Total
d. eta squared
@ Answer Location: Types of Variance: Total, Between-Groups, and Within-Group; Cognitive Domain: Comprehension; Question Type: MC
5. A researcher uses the ANOVA test to compare the means of three groups and calculates an F-ratio of -2.01. What are the implications of this?
a. The mean of the third group is the highest of the three groups.
b. The differences between the means are statistically significant.
*c. He has made an error in his calculations.
d. The mean of the first group is the highest of the three groups.
@ Answer Location: Types of Variance: Total, Between-Groups, and Within-Group; Cognitive Domain: Comprehension; Question Type: MC
6. Data are collected from six groups. The MSBG was calculated at 6.75. What would the value of the SSBG be?
a. 40.25
*b. 33.75
c. 6.75
d. 4.25
@ Answer Location: Types of Variance: Total, Between-Groups, and Within-Group; Cognitive Domain: Application; Question Type: MC
7. A researcher collects data from five groups so that each has six different participants. A value of was 8.92 for MSWG calculated. What is the value for SSWG?
a. 10.65
b. 35.89
c. 44.59
*d. 223.00
@Answer Location: Types of Variance: Total, Between-Groups, and Within-Group; Cognitive Domain: Application; Question Type: MC
8. A researcher calculated the ANOVA for those who support capital punishment by race. The SSWG = 378.00; the SSBG = 258.80; the SST = 636.8; the degrees of freedom within 15; the degrees of freedom between = 4; the MSWG = 25.20; the MSBG = 64.70 and the F-ratio = 2.57. Based on this information what would the proper conclusion be?
a. Reject the null hypothesis
b. Fail to reject the alternative hypothesis
*c. Fail to reject the null hypothesis
d. Not enough information is given
@ Answer Location: Conducting a Hypothesis Test with ANOVA; Cognitive Domain: Application; Question Type: MC
9. Which test allows for the researcher to identify which means are significantly different from each other?
a. ANOVA
*b. Tukey’s HSD
c. Eta Squared
d. F statistic
@ Answer Location: Tukey’s Honest Significance Difference (HSD) Test; Cognitive Domain: Comprehension; Question Type: MC
10. Which of the following eta squared results would indicate a strong relationship between the dependent and independent variable?
a. .19
b. .29
c. .49
*d. .79
@ Answer Location: Eta Squared (Correlation Ratio); Cognitive Domain: Knowledge; Question Type: MC
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