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Benchmarks

 

As part of our quality control we compare the results of Betahat with a variety of references.  Some of these references are from textbooks, other programs, and published statistical benchmarks.  We do not publish all of our hundreds of benchmarks since that would take time away from development, but we do publish a few for those that like to be reassured of the accuracy of our results.

Published benchmarks include

 

 

Linear Regression

The following table provide links that compare the results of Betahat to the benchmarks provided by National Institute of Standards.  

Linear Regression
Betahat Results Betahat command file Data NIST reference
Norris.out Norris.prg Noris.prn Norris
Pontius.out Pontius.prg Pontius.prn Pontius
Noint1.out Noint1.prg Noint1.prn Noint1
Noint2.out Noint2.prg Noint2.prn Noint2
Filip.out Filip.prg Filip.prn Filip
Longley.out Longley.prg Longley.prn Longley
Wampler1.out Wampler1.prg Wampler1.prn Wampler1
Wampler2.out Wampler2.prg Wampler2.prn Wampler2
Wampler3.out Wampler3.prg Wampler3.prn Wampler3
Wampler4.out Wampler4.prg Wampler4.prn Wampler4
Wampler5.out Wampler5.prg Wampler5.prn Wampler5
Summary      

 

Nonlinear Regression

The following table provide links that compare the results of Betahat to the benchmarks provided by National Institute of Standards.  

 

Betahat Results Betahat command file Data NIST reference
Misral1a.out Misral1a.prg Misral1a.prn Misral1a
Chwirut2.out Chwirut2.prg Chwirut2.prn Chwirut2
Chwirut1.out Chwirut1.prg Chwirut1.prn Chwirut1
Lanczos3.out Lanczos3.prg Lanczos3.prn Lanczos3
Gauss1.out Gauss1.prg Gauss1.prn Gauss1
Gauss2.out Gauss2.prg Gauss2.prn Gauss2
DanWood.out DanWood.prg DanWood.prn DanWood
Misralb.out Misralb.prg Misralb.prn Misralb

 
Kirby2.out Kirby2.prg Kirby2.prn Kirby2
Hahn1.out Hahn1.prg Hahn1.prn Hahn1
Nelson.out Nelson.prg Nelson.prn Nelson
MGH17.out MGH17.prg MGH17.prn MGH17
Lanczos1.out Lanczos1.prg Lanczos1.prn Lanczos1
Lanczos2.out Lanczos2.prg Lanczos2.prn Lanczos2
Gauss3.out Gauss3.prg Gauss3.prn Gauss3
Misralc.out Misralc.prg Misralc.prn Misralc
Misrald.out Misrald.prg Misrald.prn Misrald
Rozman1.out Rozman1.prg Rozman1.prn Rozman1
ENSO.out ENSO.prg ENSO.prn ENSO

 
MGH09.out MGH09.prg MGH09.prn MGH09
Thurber.out Thurber.prg Thurber.prn Thurber
BoxBOD.out BoxBOD.prg BoxBOD.prn BoxBOD
Rat42.out Rat42.prg Rat42.prn Rat42
MGH10.out MGH10.prg MGH10.prn MGH10
Eckerle4.out Eckerle4.prg Eckerle4.prn Eckerle4
Rat43.out Rat43.prg Rat43.prn Rat43
Bennett5.out Bennett5.prg Bennett5.prn Bennett5
Summary      

 

Multivariate t

Multivariate t with uncorrelated errors, and with independent errors

Betahat command file Betahat Results

 

Discrete Dependent Variable Models

Logistic Betahat command file Betahat Results

Probit Betahat command file Betahat Results

Poisson regression Betahat command file Betahat Results

 

Two-Stage Least Squares, LIML and GMM 

Linear, Nonlinear, Linear AR(1), Nonlinear AR(1) Betahat command file Betahat Results

Limited Information Maximum Likelihood Betahat command file Betahat Results

Linear GMM, with lag types White's, Bartlett(Newey-West), Truncated, Parzen, Quadratic Spectral, and Tukey-Hanning. Betahat command file Betahat Results

Nonlinear GMM, with lag types White's, Bartlett(Newey-West), Truncated, Parzen, Quadratic Spectral, and Tukey-Hanning. Betahat command file Betahat Results

 

System Estimators

The benchmarks for the pooled estimators use the data file POOLstr.DT2 that is supplied with the demo.  The Betahat values and the benchmark values are in the result files.

Pooled Estimation Betahat command file Betahat Results

Pooled Estimation with Groupwise Heteroskedasticity Betahat command file Betahat Results

Pooled Estimation with Groupwise Heteroskedasticity and Cross Sectional Correlation Betahat command file Betahat Results

Linear Seemingly  Unrelated Regression Betahat command file Betahat Results

Nonlinear Seemingly  Unrelated Regression Betahat command file Betahat Results

Linear Three-Stage Least Squares Betahat command file Betahat Results

Nonlinear Three-Stage Least Squares Betahat command file Betahat Results

 

Random Number Generator

The default random generator in Betahat is called the Mersenne Twister.  The source code can be freely downloaded from http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/emt.html, along with some details about the algorithm.  To make sure the algorithm was implemented properly we wrote a 10 megabyte file of random numbers from Betahat so we could test the generator using a test suite created by George Marsaglia.  The test program he wrote is freely available at his website.  The results of the test suite are quite lengthy, but the numbers passed all of the tests.

 

 

 

 

 

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