04 - n_Beta_Delta_WorstCase

04 - n_Beta_Delta_WorstCase - Sample Size Calculations for...

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Unformatted text preview: Sample Size Calculations for Means Enter title here Beta/Power Calculations for Means Enter title here Estimation Population Stdev. 2 σ Effect Size 1 ∆ α Sample Size 1% 26.54 ≈ 27 5% 15.37 ≈ 16 10% 10.82 ≈ 11 2% 21.65 ≈ 22 One-Sample One-Sample Type II Error 10% β Sample Size 30 n Stdev. 2 Stdev. 2 Effect Size 1 ∆ Effect Size 1 ∆ Type I Error 2% α Type I Error 5% α Two-Tail One-Tail Two-Tail One-Tail z-test α Sample Size z-test α Sample Size z-test α β Power z-test α β Power 1% 59.52 ≈ 60 1% 52.07 ≈ 53 1% 43.53% , 56.47% 1% 34.01% , 65.99% 5% 42.03 ≈ 43 5% 34.26 ≈ 35 5% 21.81% , 78.19% 5% 13.70% , 86.30% 10% 34.26 ≈ 35 10% 26.28 ≈ 27 10% 13.70% , 86.30% 10% 7.25% , 92.75% 2% 52.07 ≈ 53 2% 44.50 ≈ 45 5% 21.81% , 78.19% 5% 13.70% , 86.30% t-test α n_calc n t-test α n_calc n t-test α β Power t-test α β Power 1% 72 ≈ 18 1% 61 ≈ 18 1% 50.70% , 49.30% 1% 39.20% , 60.80% 5% 50 ≈ 13 5% 41 ≈ 11 5% 24.68% , 75.32% 5% 15.36% , 84.64% 10% 41 ≈ 11 10% 32 ≈ 9 10% 15.36% , 84.64% 10% 8.21% , 91.79% 2% 63 ≈ 16 2% 53 ≈ 14 5% 24.68% , 75.32% 5% 15.36% , 84.64% Two-Sample Two-Sample Two-Tail One-Tail Two-Tail One-Tail z-test α Sample Size z-test α Sample Size z-test α β Power z-test α β Power 1% 119.04 ≈ 120 1% 104.14 ≈ 105 1% 73.87% , 26.13% 1% 65.17% , 34.83% 5% 84.06 ≈ 85 5% 68.51 ≈ 69 5% 50.94% , 49.06% 5% 38.53% , 61.47% 10% 68.51 ≈ 69 10% 52.56 ≈ 53 10% 38.53% , 61.47% 10% 25.63% , 74.37% 2% 104.14 ≈ 105104....
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04 - n_Beta_Delta_WorstCase - Sample Size Calculations for...

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