Neyman Allocation

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Calculate

Example: a company wants to estimate the average salary by interviewing 200 employees. It has three departments: operations (1,000 people, standard deviation of $300), administration (400 people, $800) and management (100 people, $3,000). How many should be interviewed in each? Change the values to work out your own case.

Total sample n Size of each stratum N_h One per stratum, separated by spaces or commas. Standard deviation of each stratum σ_h In the same order as the strata above.

Step by step

What each term means

Sample of Stratum h (nₕ): The sample size to draw from a specific stratum 'h'. It is the value the formula computes.
Total Sample Size (n): The total number of individuals in the final sample, adding up the samples of all strata.
Population of Stratum h (Nₕ): The total number of individuals in stratum 'h' of the population.
Standard Deviation of Stratum h (σₕ): The standard deviation of the variable of interest within stratum 'h'. Strata with more variability get a larger sample.
Weighted Sum (Σ Nₕσₕ): The sum of each stratum's population size (Nₕ) times its standard deviation (σₕ), over all strata. It works as a normalizing factor.