Concept explainers
Using an Inappropriate Test Discuss the nonparametric tests described in this chapter and match each test with its parametric counterpart, which you studied in earlier chapters.
To discuss: The nonparametric tests and match each test with its parametric counterpart.
Answer to Problem 2UA
Nonparametric tests:
Sign test: It is used for testing population median.
Wilcoxon signed rank test: It is used for testing two samples of the dependent groups come from the population having same distribution or not.
Wilcoxon rank sum test: It is used for testing two samples of the independent groups come from the population having same distribution or not.
Spearman rank correlation coefficient test: It is used for testing whether there is relation between two variables or not.
Run test: It is used for testing whether the sample is drawn randomly or not.
Kruskal-Wallis test: It is used for testing three or more samples come from the population having same distribution or not.
Match the nonparametric test with its parametric counterpart:
Nonparametric test | Parametric test |
Wilcoxon signed-rank test | t test for two dependent samples |
Wilcoxon rank sum test | z and t test for two independent samples |
Kruskal-Wallis test | One-way ANOVA |
Spearman rank correlation | Pearson correlation |
Explanation of Solution
Non-parametric tests:
When the distribution of the population is not known or when the population distribution does not follow normality, then the non-parametric statistical tests are used to test the population parameters.
The non-parametric tests are listed below:
- Sign test
- Wilcoxon signed-rank test
- Wilcoxon rank sum test
- Kruskal-Wallis test
- Spearman rank correlation
- Run test
Sign test: It is used for testing population median.
Wilcoxon signed rank test: It is used to compare ranks the population of the paired samples or the matched samples. This implies that the Wilcoxon sign rank test is used to compare the matched pair groups. Moreover, it is used for testing two samples of the dependent groups come from the population having same distribution or not.
Wilcoxon rank sum test: It is used to compare the population ranks of the two different or independent samples. Moreover, it is used for testing two samples of the independent groups come from the population having same distribution or not.
Spearman rank correlation coefficient test: It is used for testing whether there is relation between two variables or not.
Run test: It is used for testing whether the sample is drawn randomly or not.
Kruskal-Wallis test: It is used for testing three or more samples come from the population having same distribution or not.
Parametric tests:
When the distribution of the population is known or when the population distribution follows normality, then the parametric statistical tests are used to test the population parameters.
Match the nonparametric test with its parametric counterpart:
Nonparametric test | Parametric test |
Wilcoxon signed-rank test | t test for two dependent samples |
Wilcoxon rank sum test | z and t test for two independent samples |
Kruskal-Wallis test | One-way ANOVA |
Spearman rank correlation | Pearson correlation |
Want to see more full solutions like this?
Chapter 11 Solutions
Elementary Statistics 7th.ed. Instructor's Review Copy
- "Using Regression create a semi Case Analysis using the data in the image below. There must be a hypothesis and conclusion." Please help I don't understand how to do thisarrow_forwardDifferentiate between parametric and non-parametric tests using relevant examples and comparisons.arrow_forwardHelp with finding areas between curves?arrow_forward
- Deffrential equationarrow_forward__________ technique involve presenting a stimulus to the respondent and he needs to respond with the first thing comes to his mind. a. Association Technique b. Projective Technique c. Construction Technique d. Sociometric Analysisarrow_forwardTopic: Parametric Hypothesis Testingarrow_forward
- Linear al gebraarrow_forwardAssumptions of Nonparametric techniques?arrow_forwardUCS * Dashboard * Big Ideas Math 9 CHEMISTRY: 6(A) | Schoology Ô https://www.bigideasmath.com/MRL/public/app/#/student/assessment;isPlayerWindow=true;assign. EST: Chapler o [rarLI- Sections 0.1--0.4) CALCULAT 7 i Rewrite y= 3(8)15 in the form y = a(1 +r)' or y= a(1 – r)' . Round the value of r to the nearest ten thousandth. Then tell whether the model represents exponential growth or exponential decay. The rewritten function is y2 The function represents 9 of 11 ( PREV 8 9 10 11 NEXT 12:06 P Type here to search ウ 2/12/2 DELL F11 PrtScr F12 Insert F4 F5 F6 F7 F8 F9 F10 Home F1 F2 F3 @ #3 $4 & 8. 8. %3D 1 3 W Y 4.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageTrigonometry (MindTap Course List)TrigonometryISBN:9781305652224Author:Charles P. McKeague, Mark D. TurnerPublisher:Cengage Learning