Question

In: Math

3. What are the advantages and disadvantages in using proportional stratified sampling and disproportional stratified sampling?

3. What are the advantages and disadvantages in using proportional stratified sampling and disproportional stratified sampling?

Solutions

Expert Solution

Proportional stratification: it is a kind of stratified sampling where the sample size of each stratum is proportionate to population size of each stratum i.e; each stratum have sampling fraction.

Disproportional stratification: It is just opposite of proportional stratification i.e; here the sample size of each stratum is not proportional to population size of each stratum.

Advantages of proportional stratified sampling:

1. Proportional stratified sampling provide more precise results in comparison to disproportional stratified sampling.

2. Since it provides more precise results so it often require small samples which save money.

3.gains in precision is highest when strata are within homogeneous.

Disadvantages of proportional stratified sampling:

1. When variance and costs differ across data it is not recommended to use proportional stratified sampling.

2. Overlapping can also be an issue while using this type of sampling.

Advantages of disproportional stratified sampling:

1.when there is difficulty of stratified sample of unequal size , disproportional stratified sampling is used.

2. It allows to give a larger representation to one or more subgroup to avoid underrepresentation of any strata.

It is applied when population have high population strata.

Disadvantages of disproportional stratified sampling:

It presents problem in analysis of data since sometimes features of over represented group can skew results.

This sampling process provide less accurate and less reliable sample.

3.this also increases chance of making error while analysis of data.


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