Sampling Theory Matching Task

This question requires matching core concepts of sampling theory (List I) with their appropriate classifications (List II).

Analyzing List I Concepts

List I contains specific principles, techniques, and error types:

• (i) Law of Statistical Regularity: This law is foundational, suggesting that a sufficiently large random sample will possess characteristics similar to the population from which it was drawn.
• (ii) Law of Inertia of Large Numbers: This principle relates to the stability of statistical properties once a sample reaches a large size, implying that the sample's characteristics tend to remain stable.
• (iii) Quota sampling: This is a specific non-probability sampling method where interviewers are given quotas for specific characteristics (e.g., age, gender) to fill.
• (iv) Response errors: These errors occur when a respondent provides inaccurate or misleading information, or fails to provide it accurately.
• (v) Non-response errors: These errors arise because some individuals selected for the sample do not respond, potentially differing systematically from those who do respond.

Classifying Concepts in List II

List II provides categories for these concepts:

• (a) Non-sampling errors: Errors introduced during the data collection, processing, or analysis phase, independent of the sampling method itself.
• (b) Sampling technique: Methods used to select a sample from a population.
• (c) Theoretical basis of sampling: Fundamental principles and laws underpinning the practice of sampling.

Matching List I to List II

Let's match each item from List I to the correct category in List II:

• The Law of Statistical Regularity (i) and the Law of Inertia of Large Numbers (ii) are fundamental principles, thus belonging to the Theoretical basis of sampling (c).
• Quota sampling (iii) is a method of selecting samples, making it a Sampling technique (b).
• Response errors (iv) and Non-response errors (v) are issues that arise during data collection and are not directly caused by the sampling process itself, hence they fall under Non-sampling errors (a).

Final Code Determination

Based on the analysis, the correct pairings are:

• List II (a) Non-sampling errors matches List I (iv) Response errors and (v) Non-response errors.
• List II (b) Sampling technique matches List I (iii) Quota sampling.
• List II (c) Theoretical basis of sampling matches List I (i) Law of Statistical Regularity and (ii) Law of Inertia of Large Numbers.

This leads to the code: (a)-(iv), (v); (b)-(iii); (c)-(i), (ii).