Given below are two statements, one labelled as Assertion (A) and the other labeled as Reason (R) : Assertion (A) : Stratified sample is drawn, when population is heterogeneous. Reason (R) : As by estimating each component we get measure of whole population. In the context of the above two statements, which of the following statement is correct ?
Analysis of Assertion (A)
Assertion (A) states that a stratified sample is drawn when the population is heterogeneous. Stratified sampling involves dividing the population into distinct subgroups (strata) based on certain characteristics. This method is particularly effective for heterogeneous populations because it ensures that each subgroup is adequately represented in the sample. Therefore, Assertion (A) is true.
Analysis of Reason (R)
Reason (R) states that by estimating each component, we get a measure of the whole population. In stratified sampling, the population is divided into components (strata). Samples are drawn from each stratum, and their characteristics are estimated. These estimates are then combined to provide an overall estimate for the entire population. This process leverages the distinct characteristics of each stratum to improve the accuracy of the population measure. Therefore, Reason (R) is true.
Relationship between Assertion (A) and Reason (R)
The reason why stratified sampling is employed for heterogeneous populations (Assertion A) is precisely that it allows for the estimation of each subgroup (component) and the subsequent aggregation of these estimates to accurately represent the whole population (Reason R). Thus, Reason (R) provides a correct explanation for Assertion (A).
Conclusion
Both Assertion (A) and Reason (R) are true statements, and Reason (R) correctly explains the rationale behind using stratified sampling for heterogeneous populations.
The correct option is: Both (A) and (R) are true and (R) is the correct explanation of (A).
Important Questions from Methods of sampling - Teaching
- Which of the following holds true to probability sampling in any research design?
A. Every item of the universe has equal chance of inclusion
B. There is always the danger of bias
C. Sample has same composition and characteristic as that of universe
D. Sample selection is based on researcher's convenience
E. Individual units can be selected by lottery method
Choose the most appropriate answer from the options given below : - Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R
Assertion A: Probability sampling is appropriate for quantitative research.
Reason R: Probability sampling helps in reducing bias in the selection of samples.
In the light of the above statements, choose the most appropriate answer from the options given below - The equiprobability of selection to every unit in a universe refers to _________
- In case study research the most common form of sampling is -
Arrange the following steps of Sampling Design Process in correct order :
A. Determine the sample size
B. Select a sampling technique
C. Selection of sampling frame
D. Target Population definitions
Choose the correct answer from the options given below :
