Select the method or formula of your choice.

Term | Description |
---|---|

x | number of events in the original sample |

N | number of trials in the original sample |

Minitab does not take resamples from the original column of data. Instead, Minitab takes the resamples by randomly sampling from a binomial distribution. The parameters for the distribution are taken from the original sample.

Term | Description |
---|---|

proportion of the i^{th} resample | |

B | number of resamples |

N | number of trials in the original sample |

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. *x*_{1} is the lowest number, *x*_{B} is the highest number.

Lower bound: *x _{l}* where =

Upper bound: *x _{u}* 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:

*X _{y}* +

For example, if *l* = 5.25, the lower bound equals x_{5} + .25 (x_{6} - x_{5}).

Minitab does not display the confidence interval when or .

Term | Description |
---|---|

α | 1 – confidence level/100 |

B | number of resamples |

X _{y} | the y^{th} 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 |