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A population of 3000 patients is divided into 3 strata: Age <50 (N₁=900), Age 50-70 (N₂=1200), Age >70 (N₃=900). You plan a stratified sample of n=300. Using Neyman allocation with within-strata standard deviations σ₁=8, σ₂=12, σ₃=15, how many patients should you sample from the oldest stratum?
Neyman allocation:
A population of 3000 patients is divided into 3 strata: Age <50 (N₁=900), Age 50-70 (N₂=1200), Age >70 (N₃=900). You plan a stratified sample of n=300. Using Neyman allocation with within-strata standard deviations σ₁=8, σ₂=12, σ₃=15, how many patients should you sample from the oldest stratum?
Neyman allocation: