Statistical Assumptions MCQs
Statistical Assumptions MCQs
These Statistical Assumptions multiple-choice questions and their answers will help you strengthen your grip on the subject of Statistical Assumptions. You can prepare for an upcoming exam or job interview with these Statistical Assumptions MCQs.
So scroll down and start answering.
1: 15,467 people rated how much they liked my textbook on a scale of 1 (it is rubbish) to 10 (I love it). The distribution of scores had a skew of 1.23 (SE = 0.65). Which of the following would be the best way to decide whether the skew is problematic? (Hint: Think about what you know about the central limit theorem.)
A. See if the z-score is bigger than 1.96 or smaller than –1.96
B. See if the skew is significant at p < .05.
C. Use the Kolmogorov–Smirnov test.
D. None of the options, because of the large sample size.
2: The Kolmogorov–Smirnov test can be used to test:
A. Whether scores are measured at the interval level.
B. Whether scores are normally distributed.
C. Whether group variances are equal.
D. Whether group means differ.
3: Which of these variables would be considered not to have met the assumptions of parametric tests based on the normal distribution? (Hint: Many statistical tests rely on having data measured at the interval level.)
A. Reaction time
B. Temperature
C. Gender
D. Heart rate
4: What is the Shapiro–Wilk test primarily used for? (Hint: You can also use the Kolmogorov–Smirnov test to look at the same thing.)
A. To test whether the distribution of scores deviates from a comparable normal distribution.
B. To test for heterogeneity of variance
C. To test for homogeneity of variance
D. It is used to test for problematic outliers that could bias the results.
5: What does the graph below indicate about the normality of our data?
A. The P-P plot reveals that the data deviate substantially from normal.
B. We cannot infer anything about the normality of our data from this type of graph.
C. The P-P plot reveals that the data deviate mildly from normal.
D. The P-P plot reveals that the data are normal.
6: Statistical assumptions are necessary for:
A. Descriptive statistics
B. Inferential statistics (Correct)
C. Nonparametric tests
D. Qualitative analysis
7: What does the assumption of normality refer to in statistical analysis?
A. The requirement that the data should be normally distributed in the population
B. The requirement that the sample size should be large
C. The requirement that the data should be evenly spaced
D. The requirement that the data should come from a random sample (Correct)
8: In parametric tests, the assumption of homogeneity of variance refers to:
A. The requirement that the variance of the dependent variable should be equal across groups (Correct)
B. The requirement that the sample size should be equal in all groups
C. The requirement that the data should be normally distributed
D. The requirement that the data should be measured on an interval or ratio scale
9: Which of the following statistical tests is appropriate for non-normally distributed data or data with unequal variances?
A. t-test
B. Chi-square test
C. Mann-Whitney U test (Correct)
D. Analysis of variance (ANOVA)
10: In linear regression analysis, the assumption of linearity refers to:
A. The requirement that the relationship between the dependent and independent variables is linear (Correct)
B. The requirement that the data should be normally distributed
C. The requirement that the dependent variable should be measured on an interval or ratio scale
D. The requirement that the sample size should be large
11: The assumption of independence in statistical analysis means that:
A. The data should come from different populations
B. The data should not be influenced by external factors
C. Each data point should be unrelated to other data points (Correct)
D. The data should not be normally distributed
12: What does the assumption of random sampling mean in statistical analysis?
A. The requirement that the sample should be selected randomly from the population (Correct)
B. The requirement that the sample size should be large
C. The requirement that the data should be normally distributed
D. The requirement that the data should be measured on an ordinal scale
13: The assumption of no multicollinearity in multiple regression analysis refers to:
A. The requirement that the dependent variable should not be correlated with the independent variable
B. The requirement that the independent variables should not be correlated with each other (Correct)
C. The requirement that the data should be normally distributed
D. The requirement that the sample size should be large
14: Which of the following is an assumption of the chi-square test for independence?
A. The data should be normally distributed
B. The data should be measured on a nominal or ordinal scale
C. The data should be equally spaced
D. The data should come from a random sample (Correct)
15: Violating statistical assumptions in analysis can lead to:
A. Increased statistical power
B. Biased results and inaccurate conclusions (Correct)
C. Greater generalizability of findings
D. A reduction in the variability of data
List of Statistical Assumption...
Available in:
Statistical Assumptions MCQs
