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Non-central t quantiles
Computes a table of quantiles.
2024.Jul.03 19:27:21
n Sample size (degrees of freedom, idf = n − 1). •
α or δ α= %  or δ = Choose: α or non-centrality δ. •
P % Probability to compute quantile from. •
Sample sizes Set of sample sizes for table. •
Show values ? Shows the coordinates of the graph. •

Computes a table of quantiles of the non-central (noncentral) t distribution ('nct'), with its two (given) parameters: 'idf', degrees of freedom; and δ, noncentrality parameter, t = Tnc(P, idf, δ), where δ = Φinv(α).√n.

As the 'nct' is important in Quality Control, the table follows typical sample size values. (Other value can be supplied.)

Plots quantiles vs. P for the various sample sizes.

References: Plate: NonCentraltQuantiles

• 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.

• 1404-02-18: Alberti, Leone Battista (1472-04-03).

 
 
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Created: 2017-02-12 — Last modified: 2017-02-18