Chi-Square and Nonparametric Tests in Statistics MCQs
Chi-Square and Nonparametric Tests in Statistics MCQs
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1: Which of the following is TRUE regarding the chi-square test of independence?
A. It requires a numerical (quantitative) score for each individual.
B. The sample must be random.
C. Population parameters such as μ and σ must be known.
D. The observations must not be independent.
2: If I calculated my phi coefficient to be 0.35, what would this mean?
A. That there is a small effect size
B. That there is a medium effect size
C. That there is a large effect size
D. That there is no effect size at all
3: Parametric is to nonparametric as ______ is to ______.
A. Chi-square test for independence; independent-groups t test
B. Correlated-groups t test; independent-groups t test
C. Independent-groups t test; chi-square test for independence
D. None of these
4: When are nonparametric procedures used instead of parametric procedures?
A. When a more powerful test is needed
B. When our data do not meet the assumptions of parametric procedures
C. When our sample is relatively small
D. When measurement is interval or ratio
5: The sum of the observed frequencies from all categories must equal ______.
A. The expected frequencies for each category
B. The frequencies expected in the population
C. Df
D. N
6: Nonparametric is to parametric as ______ is to ______.
A. T-test; z-test
B. Z-test; t-test
C. Chi-square-test; t-test
D. T-test; chi-square-test
7: Which of the following statements about nonparametric procedures is FALSE?
A. Nonparametric procedures do not assume that samples come from population distributions.
B. Nonparametric procedures do not assume a normal distribution.
C. Nonparametric procedures do not assume homogeneous variance.
D. The data used with nonparametric procedures may be nominal or ordinal.
8: Which of the following is NOT an assumption of the χ2 test?
A. T is a nonparametric test.
B. It is appropriate only for ordinal data.
C. The frequency in each cell should be at least 5.
D. The sample should be randomly selected.
9: Nonparametric procedures are usually NOT our first choice among statistical procedures because ______.
A. The probability of making a Type I error is too high
B. The probability of making a Type II error is too high
C. Nonparametric procedures are not inferential statistics
D. They are less powerful than parametric procedures
10: In a chi-square procedure, we test whether “the frequencies in each category in the sample data ______
A. Change in a consistent fashion.”
B. Have equal variances.”
C. Represent specific frequencies in the population.”
D. Represent the category means in the population.”
11: What is the consequence of violating one of the necessary assumptions of parametric inferential statistics?
A. The null hypothesis is never rejected.
B. The null hypothesis is never retained.
C. The actual probability of making a Type I error is larger than α.
D. The actual probability of making a Type I error is smaller than α.
12: Statistics used for the inference from a sample to a population that assume the variances of each group are similar is called
A. Parametric
B. Nonparametric
C. Metametric
D. Trimetric
13: Distribution-free statistics that do not require the same assumptions as do parametric statistics is called
A. Parametric
B. Nonparametric
C. Metametric
D. Trimetric
14: In which test the goodness of fit test is on one dimension, which examines whether the distribution of frequencies is different from what one would expect by chance.
A. Chi square test
B. Bi square test
C. Square test
D. Mid square test
15: A chi-square test of two dimensions or more that examines whether the distribution of frequencies on a variable is _____ of other variables.
A. Dependent
B. Independent
C. Both a and b
D. None
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