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 non-parametric statistical test serves as an alternative to the one-way ANOVA for comparing multiple independent groups?
Answer:
Kruskal Wallis test
The Kruskal-Wallis test is the non-parametric equivalent of the one-way ANOVA. It is used to determine if there are statistically significant differences between two or more groups of an independent variable on a continuous or ordinal dependent variable. Unlike ANOVA, it does not assume that the data follow a normal distribution, making it a robust choice for non-normal data sets.
2
Which statistical test is appropriate for comparing the failure times of radar transponders across three different manufacturers (A, B, and C) using sample data?
Answer:
Kruskal-Wallis test
The Kruskal-Wallis test is a non-parametric method used to determine if there are statistically significant differences between three or more independent groups. Since the study involves comparing failure times across three distinct firms, it is the correct extension of the Mann-Whitney U test for more than two groups.
3
Three coffee brands are rated on a scale of 1 to 10 by six individuals, resulting in 18 observations. Which test is most appropriate to determine if the brands are rated equally?
Answer:
Kruskal-Wallis test
The Kruskal-Wallis test is the non-parametric equivalent of a one-way ANOVA. Since the data is based on ratings (ordinal scale) and involves comparing more than two independent groups, the Kruskal-Wallis test is the appropriate choice to determine if there are significant differences between the medians of the three brands.