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 require these fundamental assumptions:

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

Note: Numerous outliers (C) constitute a violation, not an assumption, as they can distort parametric test outcomes.