Statistics MCQs
Topic Notes: Statistics
MCQs and preparation resources for competitive exams, covering important concepts, past papers, and detailed explanations.
Plato
- Biography: Ancient Greek philosopher (427–347 BCE), student of Socrates and teacher of Aristotle, founder of the Academy in Athens.
- Important Ideas:
- Theory of Forms
- Philosopher-King
- Ideal State
1
Which statistical test serves as a more powerful alternative to the sign test for paired data?
Answer:
Wilcoxon signed rank test
The Wilcoxon signed-rank test is more powerful than the sign test because it incorporates information about the magnitude of the differences between pairs, rather than just the sign of the differences. By utilizing the ranks of the absolute differences, it provides greater sensitivity in detecting location shifts.
2
Which of the following statistical tests are based on the analysis of Rank Sums?
Answer:
Kruskal-Wallis and Wilcoxon tests
Rank-based tests, or non-parametric tests, are used when the assumptions of normality are not met. The Kruskal-Wallis test is an extension of the Mann-Whitney U test used for comparing more than two independent groups, while the Wilcoxon Signed-Rank test is used for paired samples. Both of these tests transform the raw data into ranks and perform calculations based on the sums of these ranks rather than the original values.