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ResultsLog_statistics-distributions-001_js.txt
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ResultsLog_statistics-distributions-001_js.txt
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/*Results with "statistics-distributions-001.js" on 2016-07-31.
* The all code was tested on Firebug 2.0.17
* in Firefox 47.0 (32-bit Ubuntu 14.04).
*
* 2016 Yuji SODE <[email protected]>
*
* Updated on 2017-02-15.
* The updated code was tested on The Web Console
* in Firefox 51.0.1(32-bit)(32-bit Ubuntu 14.04).
*/
/*
* info: Example
* tested code etc.
* result
*/
/*===examples SYNOPSIS in "statistics-distributions-001.js"===*/
//info: Chi-squared-crit (2 degrees of freedom, 95th percentile = 0.05 level
chisqrdistr(2, .05);
//5.9915
//info: u-crit (95th percentile = 0.05 level)
udistr(.05);
//1.6449
//info: t-crit (1 degree of freedom, 99.5th percentile = 0.005 level)
tdistr(1,.005);
//ReferenceError: i is not defined
//info: F-crit (1 degree of freedom in numerator, 3 degrees of freedom
// in denominator, 99th percentile = 0.01 level)
fdistr(1,3,.01);
//ReferenceError: i is not defined
//info: upper probability of the u distribution (u = -0.85): Q(u) = 1-G(u)
uprob(-0.85);
//0.80234
//info: upper probability of the chi-square distribution
// (3 degrees of freedom, chi-squared = 6.25): Q = 1-G
chisqrprob(3,6.25);
//0.10006
//info: upper probability of the t distribution
// (3 degrees of freedom, t = 6.251): Q = 1-G
tprob(3,6.251);
//ReferenceError: i is not defined
//info: upper probability of the F distribution
// (3 degrees of freedom in numerator, 5 degrees of freedom in
// denominator, F = 6.25): Q = 1-G
fprob(3,5,.625);
//ReferenceError: i is not defined
//additional test
//info: upper probability of the F distribution
// (3 degrees of freedom in numerator, 5 degrees of freedom in
// denominator, F = 6.25): Q = 1-G
fprob(3,5,6.25);
//ReferenceError: i is not defined
/*===additional examples===*/
/* example data cited:
* Ishii, S., 1975. Seibutu Toukeigaku Nyuumon
* (English title: An Introduction to Biostatistics).
* Tokyo, Japan, BAIFUKAN CO., LTD.
* (in Japanese)
*
* ISBN: 9784563037345
* NCID: BN04347526
*/
//info: Chi-squared-crit (2 degrees of freedom, p value = 0.05).
// According to Ishii (1975),
// 5.991
//info: u-crit (p value = 0.049471; u-distribution approximated with
// standard normal distribution when sample size > 20).
// According to Ishii (1975),
// 1.65
//info: t-crit (1 degree of freedom, p value = 0.005).
// According to Ishii (1975),
// 127.32(two-tailed test)
// 63.657(one-tailed test)
//info: F-crit (1 degree of freedom in numerator, 3 degrees of freedom
// in denominator, p value = 0.01)
// According to Ishii (1975),
// 55.55(two-tailed test)
// 34.12(one-tailed test)
//info: upper probability of the u distribution (u = -0.85; u-distribution
// approximated with standard normal distribution when sample size > 20).
// According to Ishii (1975),
// 1-p(z >= 0.85) = 1-0.19766 = 0.80234
//info: upper probability of the chi-square distribution
// (3 degrees of freedom, chi-squared = 6.25).
// According to Ishii (1975),
// 0.10
//info: upper probability of the t distribution
// (3 degrees of freedom, t = 5.841).
// According to Ishii (1975),
// 0.01(two-tailed test)
// 0.005(one-tailed test)
//info: upper probability of the t distribution
// (3 degrees of freedom, t = 7.453).
// According to Ishii (1975),
// 0.005(two-tailed test)
// 0.0025(one-tailed test)
//info: upper probability of the F distribution (3 degrees of freedom
// in numerator, 5 degrees of freedom in denominator, F = 5.41).
// According to Ishii (1975),
// 0.025(two-tailed test)
// 0.05(one-tailed test)
//info: upper probability of the F distribution (3 degrees of freedom
// in numerator, 5 degrees of freedom in denominator, F = 7.76).
// According to Ishii (1975),
// 0.0125(two-tailed test)
// 0.025(one-tailed test)
/*==============================================================
* Reports by Oakley E. Gordon in mail from Ben Tilly(Feb 14, 2017 at 10:08 AM)
* on: February 13, 2017 at 10:07:52 AM MST and Feb 13, 2017 at 10:13 AM
* ==============================================================
*/
//info: upper probability of the F distribution
// (6 degrees of freedom in numerator, 60 degrees of freedom in
// denominator, F = 2): Q = 1-G
fprob(6,60,2);
//1
//info: upper probability of the F distribution
// (6 degrees of freedom in numerator, 61 degrees of freedom in
// denominator, F = 2): Q = 1-G
fprob(6,61,2);
//0.079403
//info: upper probability of the F distribution
// (6 degrees of freedom in numerator, 59 degrees of freedom in
// denominator, F = 2): Q = 1-G
fprob(6,59,2);
//0.079988
//info: upper probability of the F distribution
// (1 degrees of freedom in numerator, 10 degrees of freedom in
// denominator, F = 25): Q = 1-G
fprob(1,10,25);
//0.18041