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
- In case study research the most common form of sampling is -
- To conduct a study on Anganwadi workers, the researcher randomly selected five districts out of 30 districts of a state and collected data from each and every Anganwadi worker from these five districts. This is an example of _____
- Which of the following is Not a type of stratified Sampling ?
- Match List I with List II
LIST I LIST II A. Simple Random Sampling I. Population is divided into strata out of which the sample is drown independently B. Stratified Random Sampling II. Sampling wherein a group of subjects is taken altogether as a sampling unit C. Systematic sampling III. Each member of the population has an equal chance of being selected in the sample D. Cluster sampling IV. Every 9th case is chosen for the study from a list of cases.
Choose the correct answer from the options given below: - The advantages of using probability sampling are
A. Perfect control on extraneous variables
B. Convenient when sample is very small
C. Absense of sampling biasness
D. Lesser degree of judgement
E. Faster and cost effective
Choose the correct answer from the options given below:
