Question

Match LIST-I with LIST-II 

Choose the correct answer from the options given below: 
 

• A. A-I, B-II, C-III, D-IV
• B. A-II, B-III, C-IV, D-I
• C. A-IV, B-II, C-I, D-III
• D. A-III, B-IV, C-I, D-II

Hint:

Associate parametric tests like the t-test with means, and non-parametric tests like Mann-Whitney with medians. Chi-square is very versatile but is famous for "goodness of fit" and comparing categorical data/proportions.

Answer 1

The Correct Option is D

Step 1: Understanding the Concept:
This question requires matching statistical concepts or measures with the appropriate statistical test or calculation used to analyze them.
Step 2: Detailed Explanation:
- A. Mean: The t-test is a parametric statistical test used to compare the means of two groups to determine if they are significantly different from each other. So, A matches with III.
- C. Median: The Mann-Whitney U test is a non-parametric test used to compare the medians of two independent groups. It is often used when the assumptions of the t-test are not met. So, C matches with I.
- D. Goodness of fit: The Chi-square ($\chi^2$) test is commonly used to determine if there is a significant difference between the expected frequencies and the observed frequencies in one or more categories. This is known as a "goodness of fit" test. So, D matches with II.
- B. Proportion: Relative risk is a measure of the risk of a certain event happening in one group compared to the risk of the same event happening in another group. It is calculated from proportions or incidences. So, B matches with IV.
Step 3: Final Answer:
The correct pairings are A-III, B-IV, C-I, D-II. This corresponds to option (D).