Match the Data Type with the Appropriate Statistical Test of Association:

Choose the correct answer:

Correct option is B

1. A. Nominal - Nominal → III. Non-Parametric tau = b statistic
· Used to measure the association between two nominal variables.
2. B. Binomial - Continuous → IV. Two Independent Sample t-test
· Suitable for comparing means between two groups (binomial) with a continuous outcome.
3. C. Continuous - Continuous → I. Correlation Coefficient
· Measures the strength and direction of the relationship between two continuous variables.
4. D. Nominal - Continuous → II. One way ANOVA
· Used to compare means across multiple groups (nominal categories) with a continuous outcome.
Information Booster:
1. Correlation Coefficient (I): Measures the degree to which two continuous variables move in relation to each other (e.g., Pearson's correlation).
2. Two Independent Sample t-test (IV): Used to determine if there are statistically significant differences between the means of two independent groups.
3. Non-Parametric tau = b statistic (III): A statistical test for measuring the association between two ordinal or nominal variables.
4. One way ANOVA (II): Used for comparing the means of three or more independent groups based on one independent nominal variable.
Additional Knowledge:
· Nominal Data: Represents categories with no specific order (e.g., gender, colors).
· Binomial Data: Data with two possible outcomes (e.g., yes/no, pass/fail).
· Continuous Data: Numeric data that can take any value within a range (e.g., height, weight).
· Statistical Tests:
· Correlation Coefficient: Measures linear relationships between continuous variables.
· t-test: Compares means between two groups.
· ANOVA: Compares means across multiple groups.
· Non-Parametric Tests: Used when data doesn't meet assumptions required for parametric tests.