Take a random sample from a binomial distribution with the following parameters:
- The number of trials is equal to the length of the original sample or the number of trials for summarized data.
- The event probability is equal to the proportion of events in the original sample or the number of events divided by the number of trials for summarized data.
- The number of samples taken is equal to the number of resamples.
Sort the proportion of the random samples in increasing order. x1 is the lowest number, xB is the highest number.
Lower bound: xl where =
Upper bound: xu where =
For a one-sided case (only a lower bound or upper bound), use α instead of α/2.
When l or u are not integers, Minitab does a linear interpolation between the two numbers on either side of l or u. The formula is:
Xy + z(Xy+1 - Xy)
For example, if l = 5.25, the lower bound equals x5 + .25 (x6 - x5).
Minitab does not display the confidence interval when or .
| α ||1 – confidence level/100|
| B ||number of resamples|
|Xy ||the yth row of data when the data are sorted from least to greatest|
| y ||the truncated value of l or u|
|z||l-y or u - y|