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Non-central
t vs. Student's t distribution
Calculates the cumulative
probability for a non-central t distribution with non-centrality
parameter δ, and for the Student distribution. |
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| n |
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Sample size. |
| AQL |
% |
AQL, in percent (e.g., 0.10 means AQL = 0.10 % or
0.001). |
| k |
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Acceptability constant (as in
ANSI/ASQC Z1.9-1980 [1980]) |
| α |
% |
Producer's risk (merely for confirmation). (Give any value, e.g.,
0, if unknown.) |
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Calculates the cumulative distribution function for a non-central t
distribution and for the Student's t distribution, for the t
corresponding to the data. The non-central t probability with
δ = 0 is then calculated, and so is the Student's
t probability. These values are confirmed as equal. |
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(26-Aug-2002) |
References
• Kotz, S., N. L. Johnson, C. Read, "Encyclopedia of Statistical
Sciences", vol. 6, Wiley, New York, NY, pp 286-90 (IST,
Bibl. Central, QA273-280/1.E.30833) (Contains formula.)
• MathWorld:
Noncentral Student's t-Distribution
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