Description Usage Arguments Value Notes References

Calculates the lower confidence limits for observed numbers of events using Byar's method [1].

1 | ```
byars_lower(x, confidence = 0.95)
``` |

`x` |
the observed numbers of events; numeric vector; no default |

`confidence` |
the required level of confidence expressed as a number between 0.9 and 1 or a number between 90 and 100 or can be a vector of 0.95 and 0.998, for example, to output both 95% and 99.8% CIs; numeric; default 0.95 |

Returns lower confidence limits for observed numbers of events using Byar's method [1]

This is an internal package function that is appropriately called by exported
'phe_' prefixed functions within the PHEindicatormethods package.

`byars_lower`

and `byars_upper`

together return symmetric confidence
intervals around counts, therefore
for a specified confidence level, *α*, the probability that, by chance, the lower limit returned
will be above the true underlying value, is *α*/2.
If the confidence level is very close to 1 or the number of events is very small
Byar's method is inaccurate and may return a negative number - in these cases an error is returned.

[1] Breslow NE, Day NE. Statistical methods in cancer research, volume II: The design and analysis of cohort studies. Lyon: International Agency for Research on Cancer, World Health Organisation; 1987.

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