Statistics for Beginners in Excel – Required Sample Size for the Binomial Testing

(Basic Statistics for Citizen Data Scientist)

Required Sample Size for the Binomial Testing

We now show how to determine the sample size required to achieve a specified power objective.

Example 1: A company has made a major improvement in their manufacturing process and wants to test whether this improvement will result in 80% of the components passing their quality assurance requirements instead of 35%. What sample size do they need to achieve 90% power based on a one-tailed test with α = .01?

We will use the following supplemental function.

Real Statistics Function: The Real Statistics Resource Pack provides the following function to calculate the sample size requirement automatically.

BINOM_SIZE(p0, p1, 1−β, tails, α) = the sample size of a one sample binomial test required to achieve power of 1−β (default .8) when p0 = probability of success on a single trial based on the null hypothesis, p1 = expected probability of success on a single trial, tails = # of tails: 1 or 2 (default) and α = alpha (default .05).

For a one-tailed test the sample size required is BINOM_SIZE(.35, .80, .90, 1, .01) = 16, while for a two-tailed test the required sample size is BINOM_SIZE(.35, .80, .90, 2, .01) = 19.

 

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Statistics for Beginners in Excel – Required Sample Size for the Binomial Testing

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