UPSC MainsPSYCHOLOGY-PAPER-I201212 Marks150 Words
Q3.

Bring out the difference between 'sampling error' and 'error in sampling'. How 'sampling error' is reduced?

How to Approach

This question requires a clear understanding of research methodology and statistical concepts. The answer should begin by defining both 'sampling error' and 'error in sampling', highlighting their distinct natures. It should then focus on methods to reduce sampling error, emphasizing techniques like increasing sample size, stratification, and appropriate sampling methods. A concise and focused answer, utilizing precise terminology, is crucial for scoring well. Structure the answer by first defining the terms, then differentiating them, and finally detailing methods for reducing sampling error.

Model Answer

0 min read

Introduction

In psychological research, drawing conclusions about a population based on a smaller sample is a common practice. However, this process is susceptible to errors. Two key types of errors arise: 'sampling error' and 'error in sampling'. Understanding the difference between these is fundamental to ensuring the validity and reliability of research findings. Sampling, as a cornerstone of empirical research, aims to represent the larger population accurately, but inherent limitations necessitate a careful consideration of potential errors. This answer will delineate these errors and explore strategies to minimize sampling error.

Defining Sampling Error and Error in Sampling

Sampling Error refers to the difference between a sample statistic used to estimate a population parameter and the actual population parameter. It arises purely due to chance; even with a perfectly random sample, the sample will likely not perfectly reflect the population. This error is quantifiable and decreases with larger sample sizes.

Error in Sampling, on the other hand, is a systematic error that occurs due to flaws in the sampling process itself. This includes biases introduced by the researcher, such as a non-random sample selection, inadequate sampling frame, or response bias. Unlike sampling error, error in sampling is not reduced by increasing sample size; it requires correcting the sampling method.

Differentiating Between the Two

Feature Sampling Error Error in Sampling
Cause Chance variation Flawed sampling process
Nature Random Systematic
Reducibility with Sample Size Decreases with larger sample size Not reduced by larger sample size
Example A sample mean differing from the population mean due to random chance. Selecting participants only from a specific location, leading to a biased sample.

Reducing Sampling Error

Several techniques can be employed to reduce sampling error:

  • Increase Sample Size: A larger sample generally provides a more accurate representation of the population, reducing the impact of random variation.
  • Stratified Sampling: Dividing the population into subgroups (strata) based on relevant characteristics (e.g., age, gender) and then randomly sampling from each stratum ensures representation of all subgroups.
  • Cluster Sampling: Useful when the population is geographically dispersed. It involves randomly selecting clusters (e.g., schools, villages) and then sampling all individuals within those clusters.
  • Systematic Sampling: Selecting every nth individual from a list can be more efficient than simple random sampling, but requires caution to avoid bias if there's a pattern in the list.
  • Appropriate Sampling Technique: Choosing the most suitable sampling method based on the research question and population characteristics is crucial. For example, using probability sampling methods (simple random, stratified, cluster) over non-probability methods (convenience, purposive).
  • Statistical Adjustments: Techniques like weighting can be used to adjust for known biases in the sample.

The Central Limit Theorem plays a crucial role here, stating that the distribution of sample means will approximate a normal distribution as the sample size increases, regardless of the population distribution. This allows for the calculation of confidence intervals and statistical significance.

Conclusion

In conclusion, while both 'sampling error' and 'error in sampling' impact the accuracy of research findings, they differ fundamentally in their origins and solutions. Sampling error is a natural consequence of using a sample and can be mitigated by increasing sample size and employing appropriate sampling techniques. Error in sampling, however, stems from flaws in the sampling process and requires careful attention to methodological rigor. Recognizing and addressing both types of error is paramount for ensuring the validity and generalizability of psychological research.

Answer Length

This is a comprehensive model answer for learning purposes and may exceed the word limit. In the exam, always adhere to the prescribed word count.

Additional Resources

Key Definitions

Population Parameter
A numerical value that describes a characteristic of the entire population (e.g., population mean, population standard deviation).
Sampling Frame
A list of all the elements in the population from which the sample is drawn.

Key Statistics

According to a study by Kish (1965), a sample size of 400 generally provides a margin of error of ±5% with a 95% confidence level for population estimates.

Source: Kish, L. (1965). Survey sampling. John Wiley & Sons.

A study by Cochran (1977) showed that doubling the sample size reduces the standard error of the mean by a factor of √2.

Source: Cochran, W. G. (1977). Sampling techniques. John Wiley & Sons.

Examples

Political Polling

In political polling, a sampling error might lead to a prediction that a candidate will receive 52% of the vote, when the actual result is 50%. This difference arises due to chance variation in the sample.

Frequently Asked Questions

Can sampling error be completely eliminated?

No, sampling error cannot be completely eliminated as long as a sample is used instead of the entire population. However, it can be minimized through appropriate sampling techniques and larger sample sizes.

Topics Covered

Research MethodologyStatisticsSampling TechniquesError AnalysisStatistical InferencePopulation