Question

The assumptions of Parametric Statistics are:
(A) Population should be normally distributed
(B) Variables should be measured in Interval and/or Ratio Scale
(C) There should be many outliers
(D) Data should be based on Probability Sampling
Choose the correct answer from the options given below:

• A. (A), (B), and (D) only
• B. (A), (B), and (C) only
• C. (A), (C), and (D) only
• D. (B), (C), and (D) only

Hint:

Parametric tests assume homogeneity of variance (for tests like ANOVA), and outliers can significantly affect the mean and standard deviation calculations.

Answer 1

The Correct Option is A

Parametric statistical tests rely on the following core assumptions:

1. Normal Distribution (A): The population from which samples are drawn should follow a normal distribution.
2. Interval/Ratio Scale (B): The data should be measured on an interval or ratio scale, ensuring numerical comparability.
3. Probability Sampling (D): The data should be randomly sampled to ensure representativeness.

Note: Having many outliers (C) is not an assumption but a violation, as it can distort the results of parametric tests.