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aggotfay aggotfay
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6 years ago
What role does the binomial distribution play in the sign test, and when is it permissible to use the normal approximation in carrying out the test?
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6 years ago
The sign test relies on the fact that, if the true population (of differences) median is equal to zero, there is a 0.50 probability of obtaining a positive difference. Thus, this is a binomial experiment and a difference will be either positive or negative (ties are ignored). When the number of observations (non-zero differences) is at least ten, the normal approximation may be used.
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