Non-parametric Statistics
This quiz covers the fundamental concepts and methods of non-parametric statistics, a branch of statistics that makes no assumptions about the underlying distribution of data.
Questions
Which of the following is a non-parametric statistical test?
- t-test
- ANOVA
- Chi-square test
- Linear regression
What is the main advantage of using non-parametric tests?
- They are more powerful than parametric tests.
- They are less sensitive to outliers.
- They do not require the data to be normally distributed.
- They are easier to interpret.
Which of the following is a rank-based non-parametric test?
- Mann-Whitney U test
- Kruskal-Wallis test
- Wilcoxon signed-rank test
- All of the above
What is the null hypothesis in a non-parametric test?
- The data is normally distributed.
- The medians of the two groups are equal.
- The two groups are independent.
- The data is randomly distributed.
Which of the following is a distribution-free test?
- t-test
- ANOVA
- Chi-square test
- F-test
What is the p-value in a non-parametric test?
- The probability of obtaining the observed results, assuming the null hypothesis is true.
- The probability of obtaining the observed results, assuming the alternative hypothesis is true.
- The probability of obtaining the observed results, assuming the data is normally distributed.
- The probability of obtaining the observed results, assuming the data is randomly distributed.
What is the critical value in a non-parametric test?
- The value of the test statistic that corresponds to the desired level of significance.
- The value of the test statistic that corresponds to the null hypothesis.
- The value of the test statistic that corresponds to the alternative hypothesis.
- The value of the test statistic that corresponds to the p-value.
What is the difference between a parametric and a non-parametric test?
- Parametric tests make assumptions about the underlying distribution of the data, while non-parametric tests do not.
- Parametric tests are more powerful than non-parametric tests.
- Non-parametric tests are easier to interpret than parametric tests.
- All of the above
Which of the following is an example of a non-parametric measure of central tendency?
- Mean
- Median
- Mode
- Standard deviation
Which of the following is an example of a non-parametric measure of variability?
- Range
- Variance
- Standard deviation
- Coefficient of variation
Which of the following is an example of a non-parametric test for comparing two independent groups?
- t-test
- ANOVA
- Mann-Whitney U test
- Kruskal-Wallis test
Which of the following is an example of a non-parametric test for comparing two related groups?
- t-test
- ANOVA
- Wilcoxon signed-rank test
- Friedman test
Which of the following is an example of a non-parametric test for comparing three or more independent groups?
- t-test
- ANOVA
- Kruskal-Wallis test
- Friedman test
Which of the following is an example of a non-parametric test for comparing three or more related groups?
- t-test
- ANOVA
- Friedman test
- Kendall's coefficient of concordance
Which of the following is an example of a non-parametric test for testing the independence of two categorical variables?
- t-test
- ANOVA
- Chi-square test
- Fisher's exact test