Mathcad worksheet to calculate small sample tables

for percentage benchmarks.

Set benchmark.

Set probability of failing the benchmark at the reference sample size.

Set probability of failing the benchmark with small samples (Type I error rate).

Calculate the length of the Small Sample Adjustment Table

Calculate the reference (derivation) sample size.

"p" gives initial guesses at the required performance levels

The following function calculates the performance level that is consistent with the reference sample size N and criterion probability P.

This is the required performance level.

Calculate the minimum number of misses for which the cumulative probability is less than the Type I error criterion.

In the following matrix,

the first column is the number of permitted misses,

the second column is the minimum sample size that gets this number, and

the third column is the maximum sample size that gets the number.