blyth.still.casella {BlythStillCasellaCI} | R Documentation |

## Blyth-Still-Casella Exact Binomial Confidence Intervals

### Description

`blyth.still.casella()`

computes Blyth-Still-Casella exact binomial confidence intervals based on a refining procedure proposed by George Casella (1986).

### Usage

```
blyth.still.casella(
n,
X = NULL,
alpha = 0.05,
digits = 2,
CIs.init = NULL,
additional.info = FALSE
)
```

### Arguments

`n` |
number of trials |

`X` |
number of successes (optional) |

`alpha` |
confidence level = 1 - alpha |

`digits` |
number of significant digits after the decimal point |

`CIs.init` |
initial confidence intervals from which the refinement procedure begins (default starts from Clopper-Pearson confidence intervals) |

`additional.info` |
additional information about the types of interval endpoints and their possible range is provided if TRUE (default = FALSE) |

### Value

If `X`

is specified, the corresponding confidence interval will be returned, otherwise a list of n + 1 confidence intervals will be returned.

If `additional.info = FALSE`

, only a list of confidence interval(s) will be returned. For any conincidental endpoint, midpoint of its range will be displayed.

If `additional.info = TRUE`

, the following lists will be returned:

`ConfidenceInterval` | a list of confidence intervals |

`CoincidenceEndpoint` | indices of coincidental lower endpoints (L.Index) and their corresponding upper endpoints (U.index) |

`Range` | range for each endpoint |

### Examples

```
# to obtain 95% CIs for n = 30 and X = 0 to 30
blyth.still.casella(n = 30, alpha = 0.05, digits = 4)
# to obtain 90% CIs, endpoint types, indices of coincidental endpoints (if any),
# and range of each endpoint for n = 30 and X = 23
blyth.still.casella(n = 30, X = 23, alpha = 0.05, digits = 4, additional.info = TRUE)
# use initial confidence intervals defined by the user instead of Clopper-Pearson CIs
# CIs.input needs to be a (n + 1) x 2 matrix with sufficient coverage
CIs.input <- matrix(c(0,1), nrow = 11, ncol = 2, byrow = TRUE) # start with [0,1] intervals
blyth.still.casella(n = 10, alpha = 0.05, digits = 4, CIs.init = CIs.input, additional.info = TRUE)
```

*BlythStillCasellaCI*version 1.1.0 Index]