Contents
What is Neyman allocation in stratified sampling?
Neyman allocation is a method used to allocate sample to strata based on the strata variances and similar sampling costs in the strata. When the variances within a stratum are different and are specified correctly, Neyman allocation will give an estimator with smaller variance than proportional allocation.
What is proportional allocation method?
Proportional allocation involves applying the same sampling rate to all strata, thus implying that the percent distribution of the selected sample among strata is identical to the corresponding distribution for the population.
What is optimal allocation of resources?
Originally a term from economics, an allocation refers to the distribution of existing resources to different purposes. The aim is to use resources efficiently so that optimum results can be achieved even with scarce resources, in order to remain competitive in the long term.
What is the ideal asset allocation?
Your ideal asset allocation is the mix of investments, from most aggressive to safest, that will earn the total return over time that you need. The mix includes stocks, bonds, and cash or money market securities. The percentage of your portfolio you devote to each depends on your time frame and your tolerance for risk.
How to calculate Neyman allocation and proportional allocation?
Suppose that from an earlier study, we know that 47% of house dwellers, 23% of apartment dwellers, and 3% of condominium residents practice energy conservation. and the sample size n. (b) (4 marks) Using a optimal allocation, find the strata sample sizes, n 1, n 2, and n 3, and the sample size n.
How is the sample size proportional to proportional allocation?
Proportional Allocation Proportional allocation sets the sample size in each stratum equal to be proportional to the number of sampling units in that stratum. That is, nh/n = Wh. Proportional allocation yields a self weighted sample (no additional weighting is required to estimate unbiased population parameters).
What is variance estimate for Stratum 1 Neyman allocation?
For example, a variance estimate for stratum 1 would be S ^ 1 2 = p ^ 1 q ^ 1 = ( 0.47) ( 0.53). and then calculate each n h = n W h, rounding where required. Neyman Allocation ignores costs for these calculations as well because we assume they are equal.
What are the mean and standard deviation of sample proportions?
Let represent the proportion of a sample of employees that are allergic to pets. What are the mean and standard deviation of the sampling distribution of ? Stuck? Review related articles/videos or use a hint.