Simple random sampling is a statistical method used to randomly select a sample from a population, where each member of the population has an equal chance of being selected. This method is widely used in research studies and surveys to obtain a representative sample of the population. In this article, we will discuss why simple random sampling is effective if the population is not very large and not much heterogeneous.

Population Size and Simple Random Sampling

The effectiveness of simple random sampling depends on the size of the population. If the population is small, it is relatively easy to obtain a representative sample using simple random sampling. However, if the population is large, it may be difficult to obtain a representative sample, as it may not be feasible to sample every member of the population. In this case, other sampling methods such as stratified sampling or cluster sampling may be more appropriate.

Population Homogeneity and Simple Random Sampling

Another factor that influences the effectiveness of simple random sampling is the homogeneity of the population. If the population is homogenous, meaning that there is little variation among the members of the population, simple random sampling is an effective method. However, if the population is heterogeneous, meaning that there is significant variation among the members of the population, simple random sampling may not be as effective. In this case, stratified sampling or cluster sampling may be more appropriate.

Partitioning the Population

One way to overcome the limitations of simple random sampling is to partition the population into several sections. Once the population is divided into sections, simple random sampling can be used to obtain a representative sample from each section. This method is called stratified random sampling and is useful when the population is heterogeneous.

Conclusion

In conclusion, simple random sampling is a powerful statistical method for obtaining a representative sample from a population. However, its effectiveness depends on the size and homogeneity of the population. If the population is not very large and not much heterogeneous, simple random sampling is an effective method. Additionally, partitioning the population into several sections can improve the effectiveness of simple random sampling.