kFactor

kFactor(n, p, alpha)

Exact margin factor for bilateral covering interval of a Normal sample.

Parameters:
nint

The size of the sample.

pfloat 0<p<1

The probability level of the covering interval.

alphafloat 0<\alpha<1

The confidence level of the covering interval.

Returns:
kfloat

The margin factor.

Notes

This method allows one to compute the exact margin factor k of a Normal sample of size n with unknown means \mu_i and unknown common variance \sigma^2. It is equivalent to the pooled version with m=1. This implements the standard NF ISO 16269-6.

Examples

>>> import openturns as ot
>>> k = ot.DistFunc.kFactor(5, 0.95, 0.9)