Question:

Which of the following are the probability sampling method?
A. Random sampling
B. Convenience sampling
C. Stratified sampling
D. Multistage sampling
Choose the correct answer from the options given below:

Show Hint

To identify probability sampling, look for methods that use random selection (Random, Stratified, Systematic, Cluster, Multistage).
Convenience, Purposive, Quota, and Snowball are non-probability methods.
  • A, B and D only
  • A, B, and C only
  • B, C and D only
  • A, C and D only
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The Correct Option is D

Solution and Explanation

Step 1: Understanding the Concept:
In statistics and research methodology, sampling methods are divided into probability and non-probability sampling.
In probability sampling, every element of the population has a known, non-zero chance of being selected, which minimizes selection bias and allows for statistical generalization.

Step 2: Detailed Explanation:

Let us analyze the listed sampling methods:
- A. Random sampling: This is a fundamental probability sampling method.
Every individual in the population has an equal and independent chance of being selected.
- B. Convenience sampling: This is a non-probability sampling method.
Subjects are selected based on their convenient accessibility and proximity to the researcher, rather than through random selection.
- C. Stratified sampling: This is a probability sampling method.
The population is divided into homogeneous subgroups (strata), and random samples are drawn from each stratum.
- D. Multistage sampling: This is a probability sampling method.
Sampling is carried out in successive stages, with primary, secondary, and tertiary units selected randomly at each stage.
Therefore, A, C, and D are probability sampling methods, while B is a non-probability method.

Step 3: Final Answer:

The probability sampling methods from the list are Random sampling, Stratified sampling, and Multistage sampling, corresponding to Option (D).
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