Computes a table of probabilites
of the non-central (noncentral) t distribution ('nct'),
with its two (given) parameters: 'idf', degrees of freedom;
and δ, noncentrality parameter.
As the 'nct' is important in Quality Control, the table
follows typical AQL values (Renard-type series ...0.65 %, 1 %, 2.5 %,
4 %, 6.5%...). Other particular values can be supplied:
(a) either AQL or δ; and
(b) either probability (inverse 'nct') or t (direct 'nct').
An Excel file.xlsm
(by J. Frickmann) is supplied for the direct 'nct', for comparison.
(The xlsm files may pose security threats.)
If it is tmin = tmax,
then these are computed:
tmin = Tnc(1%, max(AQL)) and
"max 99% min".
Plots the cumulative distribution ('cdf') vs. t
for various AQL values. |
• ASQ Glossary, letter A
(search 'AQL'), 'acceptance quality limit' in Quality Control (American Society for Quality).
• Wikipedia: Noncentral
t-distribution.
• Keisan Online Calculator: Noncentral
t-distribution (Casio Computer Co. Ltd.).
• Burkardt, John, ASA005,
CDF of Noncentral T Distribution.
• Resnikoff & Lieberman; Tables of the non-central t-distribution, Technical Report No. 32,
April 1, 1957 (=.pdf),
Stanford: Dept. of Statistics.
• 1870-02-12: Carslaw, Horatio Scott (1954-11-11). |
