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Sarkari MCQs Government Exam Question Bank
Question no. 93196

Comparing failure times of radar transponders from firms A, B, and C based on an airline’s experience uses____________?

Select your answer for: Comparing failure times of radar transponders from firms A, B, and C based on an airline’s experience uses____________?
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Answer: D. Kruskal-Wallis test

Explanation

The Kruskal-Wallis test is a non-parametric method used to compare three or more independent groups. Comparing radar transponder failure times across firms A, B, and C requires this multi-group test. It ranks data to evaluate whether samples originate from the same underlying distribution. Non-parametric tests do not assume a normal distribution for the underlying population data. The Kruskal-Wallis test serves as the non-parametric equivalent of a one-way ANOVA. Significant test results indicate that at least one group stochastically dominates the others.

Engineers use the Kruskal-Wallis test to compare durability metrics across multiple manufacturer brands. Medical researchers apply non-parametric tests when patient recovery time data violates normality. Comparing independent groups without distributional assumptions ensures robust statistical conclusions. Kolmogorov-Smirnov test compares a sample with a reference distribution or two samples. Wilcoxon Rank-Sum test compares only two independent groups rather than three or more. Spearman Rank Correlation measures the monotonic association between two continuous variables.

Subject
Mathematics
Category
Statistics
Topic
—
Difficulty
medium

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