Returns the inverse of the normal cumulative distribution for the specified mean and standard deviation.
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let func = | |
(probability as number, mean as number, standard_dev as number) as number => | |
let | |
// Source for NormalCDFInverse: https://www.johndcook.com/blog/normal_cdf_inverse/ | |
//StdDev = 1.5, | |
//Mean = 2, | |
p = probability, | |
RationalApproximation = (t as number) => | |
[c = {2.515517, 0.802853, 0.010328}, d = {1.432788, 0.189269, 0.001308}, return | |
= t - ((c{2} * t + c{1}) * t + c{0}) / | |
(((d{2} * t + d{1}) * t + d{0}) * t + 1)][return], | |
NormalCDFInverse = if (p < 0.5) | |
then - RationalApproximation(Number.Sqrt(- 2 * Number.Log(p))) | |
else RationalApproximation(Number.Sqrt(- 2 * Number.Log(1 - p))), | |
DenormCDFInverse = NormalCDFInverse * standard_dev + mean | |
in | |
DenormCDFInverse , | |
documentation = [ | |
Documentation.Name = " Xls.NORMINV.pq ", | |
Documentation.Description = " Returns the inverse of the normal cumulative distribution for the specified mean and standard deviation. ", | |
Documentation.LongDescription = " Returns the inverse of the normal cumulative distribution for the specified mean and standard deviation. https://support.microsoft.com/en-us/office/norm-inv-function-54b30935-fee7-493c-bedb-2278a9db7e13 ", | |
Documentation.Category = " Xls.Statistical ", | |
Documentation.Source = " www.TheBIccountant.com ", | |
Documentation.Version = " 1.0 ", | |
Documentation.Author = " Imke Feldmann ", | |
Documentation.Examples = {[Description = " ", | |
Code = " ", | |
Result = " "]}] | |
in | |
Value.ReplaceType(func, Value.ReplaceMetadata(Value.Type(func), documentation)) |
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