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A script containing functions to calculate minimum required sample size for experiments:
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#! /usr/bin/env python | |
import math | |
import statistics | |
def binomial_required_sample_size(p1, p2, min_diff=5e-4, include_continuity_correct=True, two_sided=True): | |
"""derived from: https://www.itl.nist.gov/div898/handbook/prc/section2/prc242.htm""" | |
z_alpha = 1.95 | |
if two_sided: | |
z_alpha = 2.24 | |
z_beta = 0.89 | |
p1_std = math.sqrt(p1 * (1.0 - p1)) | |
p2_std = math.sqrt(p2 * (1.0 - p2)) | |
n = pow((z_alpha * p1_std + z_beta * p2_std) / (min_diff), 2) | |
if include_continuity_correct: | |
n += 1/min_diff | |
return n | |
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As of current revision this is calculated with an assumed minimum difference of 1/2 of 1%.
Using itl.nist documentation for its calculation