Stat LitE v1.02
October 19, 2006
By Bob Wang
e-mail: bobwang@comcast.net

StatLitE v1.02 is a TI-83,84 style command-line distribution function package. Running normcdf(-infinity,36,35,2) returns 0.691462461274, full 12 decimal accuracy. The built-in TI cumulative normal is only accurate to 8 decimals. StatLitE is also a 12.3k alternative to the full 317k Stat LE Flash App. Included are pdfs and cdfs for the binomial, chi-squared, F-distribution, geometric, normal, Poisson and Student’s t distributions. The inverse normal cdf is also part of this package. Inverse chi-squared, F-distribution and Student’s t use the built-in solve function. Those three inverses run VERY SLOWLY! Supporting functions are the beta, incomplete beta, regularized beta, error function, complementary error function, double factorial, rising factorial, gamma, natural log gamma, lower incomplete gamma, upper incomplete gamma, and regularized gamma.

All the functions are included in the "StatLitE v1.02 xx.tig" group file for each machine type.

The archdist() program takes no parameters, it just runs all the functions, tokenizes them, and archives them.

To run these programs, hit the yellow 2nd key, then VAR-LINK, then scroll to the program you want. Viewing “Contents” via 2nd, F6, displays the required parameters for each function.

I highly recommend Samuel Stearley’s wonderful Complete utility which allows auto-completion of commands:

Samuel Stearley’s Complete:
http://www.stearley.org/downloads/Complete.ZIP
http://www.stearley.org/
http://www.stearley.org/calc.html
http://www.stearley.org/contactinfo.gif

This project would not have been possible without guidance provided by Bhuvanesh Bhatt's MathTools v2.4.3. Bhuvanesh also referred me to the invaluable resource of Eric Weisstein’s MathWorld at Wolfram Research.
http://mathworld.wolfram.com/

For more complete implementations, especially of the supporting functions, please visit:

Bhuvanesh Bhatt
bbhatt1@triton.towson.edu
Bhuvanesh Bhatt's MathTools v2.4.3
http://technicalc.org/bbhatt/
http://technicalc.org/packages/mathtools/mathtools.zip
http://technicalc.org/packages/mathtools/MathTools.pdf

More links and acknowledgments are in the Microsoft Word document.

What's included in version 1.02:

Distribution Functions:
binomcdf(n,p,l,u)
binompdf(n,p,x)
chi2cdf(l,u,df)
chi2inv(p,df)   [~5 minutes]
chi2pdf(x,df)
fcdf(l,u,n,m)
finv(p,n,m)   [~7 minutes]
fpdf(x,n,m)
geomcdf(p,l,u)
geompdf(p,x)
normack(p,m,s)
normcdf(l,u,m,s)
norminv(p,m,s)
normpdf(x,m,s)
poisscdf(p,l,u)
poisspdf(p,x)
tcdf(l,u,df)
tinv(p,df)   [~10 minutes]
tpdf(x,df)

Supporting Functions:
archdist()
beta(a,b)
betainc(z,a,b)
betareg(z,a,b)
erf(x)
erfc(x)
factdbl(z)
factrise(x,n)
gamma(z)
gammaln(z)
gammalwr(a,z)
gammareg(a,z)
gammaupr(a,z)


Please alert me to any errors or problems.

This information is subject to change without notice and is provided "as is" with no warranty. Bob Wang shall not be liable for any direct, indirect, special, incidental or consequential damages in connection with the use of this material.
 
Last modified: October 19, 2006