What is representative sample? Explain with example how random sampling is different from non-random sampling? How does random sampling procedure is helpful in correcting the bias of an estimate?

Introduction

Sampling is a critical process in research that involves selecting a subset of a population to represent the entire group. One of the most important types of sampling is a representative sample, which ensures that the sample accurately reflects the characteristics of the population. This answer explains what a representative sample is, how random and non-random sampling differ, and how random sampling helps reduce bias in estimates.

What is a Representative Sample?

A representative sample is one that closely mirrors the population from which it is drawn in terms of key characteristics such as age, gender, income, education, etc. The goal of using a representative sample is to ensure that the findings from the sample can be generalized to the entire population with a high degree of accuracy.

Example:

Suppose a university wants to understand the study habits of its students. If 60% of students are undergraduates and 40% are postgraduates, a representative sample of 100 students should ideally include 60 undergraduates and 40 postgraduates.

Difference Between Random and Non-Random Sampling

1. Random Sampling

In random sampling, every individual in the population has an equal chance of being selected. This method reduces the risk of selection bias and increases the likelihood that the sample is representative of the population.

Types of Random Sampling:

  • Simple Random Sampling: Every individual has an equal chance.
  • Stratified Sampling: Population is divided into strata, and random samples are drawn from each stratum.
  • Cluster Sampling: Population is divided into clusters, and some clusters are randomly selected.

Example:

Selecting 100 students randomly from a database of all 10,000 students using a computer-generated random number.

2. Non-Random Sampling

In non-random sampling, not all individuals have a chance of being selected. This may lead to biased samples and unreliable results.

Types of Non-Random Sampling:

  • Convenience Sampling: Selecting individuals who are easiest to access.
  • Judgmental Sampling: Researcher selects what they consider a ‘typical’ sample.
  • Quota Sampling: Selecting a fixed number of individuals from different categories, but not randomly.

Example:

Asking students in a nearby café about their study habits would be convenience sampling and may not represent the wider student population.

How Random Sampling Helps Correct Bias

Bias occurs when the sample systematically differs from the population. Random sampling helps reduce such bias in several ways:

1. Equal Chance of Selection

Since each member of the population has an equal chance of being selected, the sample is more likely to reflect the characteristics of the population.

2. Reduces Human Error and Subjectivity

In non-random sampling, researcher bias may influence who gets selected. Randomization removes this subjectivity.

3. Improves Generalizability

Random sampling ensures that results from the sample can be generalized to the population, increasing the validity of estimates.

4. Basis for Statistical Inference

Statistical techniques such as confidence intervals and hypothesis testing rely on the assumption that the sample was randomly selected.

Conclusion

A representative sample is essential for meaningful and valid research findings. Random sampling, unlike non-random methods, ensures that the sample is unbiased and reflective of the population. It forms the foundation of accurate data analysis and helps researchers make valid generalizations. Understanding and applying appropriate sampling methods is crucial in ensuring research integrity.

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