getRangeStatEff: Confidence interval for range statistics

In dwoll/shotGroups: Analyze Shot Group Data

Confidence interval for range statistics

Description

Returns the efficiency for range statistics: extreme spread, figure of merit, bounding box diagonal. Calculations assume a circular bivariate normal shot distribution with 0 mean. Efficiency for Rayleigh sigma estimate is also provided for comparison.

Usage

getRangeStatEff(n, nGroups=1)

Arguments

n	integer between 2 and 100. Number of shots in each group.
nGroups	integer between 1 and 10. Number of groups when x is the average of individually-measured range statistics from several groups.

Details

Based on the lookup table DFdistr with results from a Monte Carlo simulation. If the value of n is not among those simulated (but is less than 100), a monotonic spline interpolation between the neighboring simulated values is used. The efficiency is one over the square root of the total number of shots times the squared coefficient of variation.

Value

A data frame with variables n, nGroups, nTotal, as well as efficiency estimates ES_efficiency (extreme spread), FoM_efficiency (figure of merit), D_efficiency (bounding box diagonal), RS_efficiency (Rayleigh sigma).

References

Grubbs, F. E. (1964b). Statistical measures of accuracy for riflemen and missile engineers. Ann Arbor, ML: Edwards Brothers.

See Also

getRangeStat, range2sigma

Examples

getRangeStatEff(c(5, 10, 15), nGroups=1:2)

dwoll/shotGroups documentation built on Oct. 17, 2024, 3:23 a.m.