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According to Neyman’s allocation, in stratified sampling
- a)Sample size is proportional to the population size
- b)Sample size is proportional to the sample SD
- c)Sample size is proportional to the sample variance
- d)Population size is proportional to the sample variance
Correct answer is option 'A'. Can you explain this answer?
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According to Neymans allocation, in stratified samplinga)Sample size i...
Stratified Sampling and Neyman's Allocation
Stratified sampling is a type of sampling method that involves dividing the population into subgroups or strata and then selecting a sample from each stratum. This method is used to ensure that the sample is representative of the population and can help to reduce the sampling error.
Neyman's allocation is a method of assigning sample sizes to each stratum in stratified sampling. This method is based on the idea that the sample size should be proportional to the size of the stratum.
Sample Size Proportional to Population Size
The correct answer to the question is option 'A', sample size is proportional to the population size. This means that the larger the stratum, the larger the sample size that should be allocated to it. The smaller the stratum, the smaller the sample size that should be allocated to it.
This method is used to ensure that each stratum is represented in the sample proportionally to its size in the population. This helps to ensure that the sample is representative of the population and can help to reduce the sampling error.
Benefits of Neyman's Allocation
Neyman's allocation is a useful method for ensuring that the sample is representative of the population. It has several benefits, including:
1. Reducing Sampling Error: By allocating sample sizes proportionally to the size of each stratum, Neyman's allocation helps to reduce the sampling error.
2. Efficient Use of Resources: By allocating sample sizes based on the size of each stratum, Neyman's allocation ensures that resources are used efficiently.
3. Fair Representation: Neyman's allocation ensures that each stratum is represented in the sample proportionally to its size in the population, thereby providing a fair representation of the population.
Conclusion
In conclusion, Neyman's allocation is a useful method for assigning sample sizes to each stratum in stratified sampling. It ensures that the sample is representative of the population and can help to reduce the sampling error. The correct answer to the question is option 'A', sample size is proportional to the population size.
Stratified sampling is a type of sampling method that involves dividing the population into subgroups or strata and then selecting a sample from each stratum. This method is used to ensure that the sample is representative of the population and can help to reduce the sampling error.
Neyman's allocation is a method of assigning sample sizes to each stratum in stratified sampling. This method is based on the idea that the sample size should be proportional to the size of the stratum.
Sample Size Proportional to Population Size
The correct answer to the question is option 'A', sample size is proportional to the population size. This means that the larger the stratum, the larger the sample size that should be allocated to it. The smaller the stratum, the smaller the sample size that should be allocated to it.
This method is used to ensure that each stratum is represented in the sample proportionally to its size in the population. This helps to ensure that the sample is representative of the population and can help to reduce the sampling error.
Benefits of Neyman's Allocation
Neyman's allocation is a useful method for ensuring that the sample is representative of the population. It has several benefits, including:
1. Reducing Sampling Error: By allocating sample sizes proportionally to the size of each stratum, Neyman's allocation helps to reduce the sampling error.
2. Efficient Use of Resources: By allocating sample sizes based on the size of each stratum, Neyman's allocation ensures that resources are used efficiently.
3. Fair Representation: Neyman's allocation ensures that each stratum is represented in the sample proportionally to its size in the population, thereby providing a fair representation of the population.
Conclusion
In conclusion, Neyman's allocation is a useful method for assigning sample sizes to each stratum in stratified sampling. It ensures that the sample is representative of the population and can help to reduce the sampling error. The correct answer to the question is option 'A', sample size is proportional to the population size.
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According to Neymans allocation, in stratified samplinga)Sample size is proportional to the population sizeb)Sample size is proportional to the sample SDc)Sample size is proportional to the sample varianced)Population size is proportional to the sample varianceCorrect answer is option 'A'. Can you explain this answer?
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