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).