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Updated to use distributions & cosmetic, & removals of warnings at level 4.
[SVN r3134]
This commit is contained in:
Paul A. Bristow
@@ -1,4 +1,5 @@
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// students_t_example1.cpp
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// Copyright Paul A. Bristow 2006.
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// Use, modification and distribution are subject to the
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@@ -39,8 +40,8 @@ double value[values] = {38.9, 37.4, 37.1};
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// Is there any evidence for systematic error?
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// The Students't distribution function is described at
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// http://en.wikipedia.org/wiki/Student%27s_t_distribution
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#include <boost/math/distributions/students_t.hpp>
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using boost::math::students_t; // Probability of students_t(df, t).
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@@ -92,61 +93,21 @@ int main()
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Output is:
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Example 1 using Student's t function. ..\..\..\..\..\..\boost-sandbox\libs\mat
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h_functions\example\students_t_example1.cpp Tue Jul 11 12:44:17 2006 140050727
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------ Build started: Project: students_t_example1, Configuration: Debug Win32 ------
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Compiling...
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students_t_example1.cpp
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Linking...
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Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\students_t_example1.exe"
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Example 1 using Student's t function. ..\..\..\..\..\..\boost-sandbox\libs\math_functions\example\students_t_example1.cpp Sat Aug 12 16:54:41 2006 140050727
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Measurement 1 = 38.9, measurement 2 = 37.4, measurement 3 = 37.1
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Standard = 38.9, mean = 37.8, (mean - standard) = -1.1
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Standard deviation = 0.964365
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Probability of Student's t -1.976 with 2 degrees of freedom is 0.9066 (1-tailed).
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Press any key to continue . . .
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*/
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/*
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Obselete junk?
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double p = students_t(degrees_of_freedom, t);
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p = students_t(degrees_of_freedom, t);
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cout << "Probability of t = " << t << " is " << p << endl;
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//t = 4.30; 4.30265272974946
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//p = students_t(degrees_of_freedom, t); // 0.975 = tquantiles value
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//cout << "Probability of t = " << t << " is " << p << endl;
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// But MathCAD pt(2, 4.30265272974946) = 0.944426429950027 ??? expect 0.95
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//t = 2.92;
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//p = students_t(degrees_of_freedom, t); // 0.95
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//cout << "Probability of t = " << t << " is " << p << endl;
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//t = -2.92;
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//p = students_t(degrees_of_freedom, t); // 0.05
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//cout << "Probability of t = " << t << " is " << p << endl;
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// Means probability(t < 1.533) = 0.9 == 90%, a one-sided or one-tailed-test.
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// http://faculty.vassar.edu/lowry/VassarStats.html
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// calculator gives mean = 37.8, difference from 'hypothetical population mean' == SRM 38.9 is -1.1,
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// t = -1.975, 2 df, P 1-tailed = 0.093474, 2-tailed = 0.186948.
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Example 1 using Student's t function. ..\..\..\..\..\..\boost-sandbox\libs\mat
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h_functions\example\students_t_example1.cpp Sat Jun 17 11:25:02 2006 140050727
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mean = 37.8
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standard deviation = 0.964365
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Student's t = -1.97566
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Probability of t = -1.97566 is 0.0934283
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Probability of t = 4.3 is 0.974971
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Probability of t = 2.92 is 0.95
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Probability of t = -2.92 is 0.0499996
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Probability of Student's t = 0.05
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Press any key to continue . . .
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Probability of Student's t is 0.90657
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Build Time 0:03
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Build log was saved at "file://i:\boost-06-05-03-1300\libs\math\test\Math_test\students_t_example1\Debug\BuildLog.htm"
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students_t_example1 - 0 error(s), 0 warning(s)
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========== Build: 1 succeeded, 0 failed, 0 up-to-date, 0 skipped ==========
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*/
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@@ -1,6 +1,6 @@
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// students_t_example2.cpp
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// Copyright Paul A. Bristow 2006.
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// Copyright Paul A. Bristow 2006.
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// Use, modification and distribution are subject to the
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// Boost Software License, Version 1.0.
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// (See accompanying file LICENSE_1_0.txt
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@@ -97,8 +97,12 @@ int main()
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Output is:
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Example2 using Student's t function. ..\..\..\..\..\..\boost-sandbox\libs\math
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_functions\example\students_t_example2.cpp Sat Jun 17 16:39:11 2006 140050727
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------ Build started: Project: students_t_example2, Configuration: Debug Win32 ------
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Compiling...
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students_t_example2.cpp
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Linking...
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Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\students_t_example2.exe"
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Example2 using Student's t function. ..\..\..\..\..\..\boost-sandbox\libs\math_functions\example\students_t_example2.cpp Sat Aug 12 16:55:59 2006 140050727
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0 25.06
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1 25.18
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2 24.87
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@@ -109,29 +113,9 @@ Mean = 25.2283
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Standard deviation = 0.238279
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Student's t = 2.34725, with 5 degrees of freedom.
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Probability of positive bias is 0.967108.
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Press any key to continue . . .
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1>------ Build started: Project: students_t_example2, Configuration: Debug Win32 ------
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1>Compiling...
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1>students_t_example2.cpp
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1>Linking...
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1>Embedding manifest...
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1>Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\students_t_example2.exe"
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1>Example2 using Student's t function. ..\..\..\..\..\..\boost-sandbox\libs\math_functions\example\students_t_example2.cpp Sat Jun 17 16:39:11 2006 140050727
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1> 0 25.06
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1> 1 25.18
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1> 2 24.87
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1> 3 25.51
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1> 4 25.34
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1> 5 25.41
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1>Mean = 25.2283
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1>Standard deviation = 0.238279
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1>Student's t = 2.34725, with 5 degrees of freedom.
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1>Probability of positive bias is 0.967108.
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1>Build Time 0:03
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1>Build log was saved at "file://i:\boost-06-05-03-1300\libs\math\test\Math_test\students_t_example2\Debug\BuildLog.htm"
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1>students_t_example2 - 0 error(s), 0 warning(s)
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Build Time 0:03
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Build log was saved at "file://i:\boost-06-05-03-1300\libs\math\test\Math_test\students_t_example2\Debug\BuildLog.htm"
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students_t_example2 - 0 error(s), 0 warning(s)
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========== Build: 1 succeeded, 0 failed, 0 up-to-date, 0 skipped ==========
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*/
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@@ -6,7 +6,7 @@
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// (See accompanying file LICENSE_1_0.txt
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// or copy at http://www.boost.org/LICENSE_1_0.txt)
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// Example 3 of using Student's t
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// Example 3 of using Student's t.
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// A general guide to Student's t is at
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// http://en.wikipedia.org/wiki/Student's_t-test
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@@ -26,6 +26,11 @@
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// but to his employer - the company insisted on the pseudonym
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// so that it could turn a blind eye to the breach of its rules.
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#ifdef _MSC_VER
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# pragma warning(disable: 4702) // unreachable code
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#endif
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// 4996 4512
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// The Students't distribution function is described at
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// http://en.wikipedia.org/wiki/Student%27s_t_distribution
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@@ -119,9 +124,12 @@ correlated samples: p 1-tailed 0.261635, 2-tailed 0.534327
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Output is:
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Example3 using Student's t function. ..\..\..\..\..\..\boost-sandbox\libs\math
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_functions\example\students_t_example3.cpp Sat Jun 17 14:52:44 2006 140050727
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------ Build started: Project: students_t_example3, Configuration: Debug Win32 ------
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Compiling...
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students_t_example3.cpp
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Linking...
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Atuorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\students_t_example3.exe"
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Example3 using Student's t function. ..\..\..\..\..\..\boost-sandbox\libs\math_functions\example\students_t_example3.cpp Sat Aug 12 16:57:50 2006 140050727
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Portion wet_oxidation Direct_extraction difference
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0 71 76 -5
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1 61 68 -7
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@@ -131,7 +139,32 @@ Mean difference = -1.75
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Standard deviation of differences = 4.99166
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Student's t = -0.70117, if 3 degrees of freedom.
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Probability of the means being different is 0.533692.
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Press any key to continue . . .
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Build Time 0:03
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Build log was saved at "file://i:\boost-06-05-03-1300\libs\math\test\Math_test\students_t_example3\Debug\BuildLog.htm"
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students_t_example3 - 0 error(s), 0 warning(s)
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========== Build: 1 succeeded, 0 failed, 0 up-to-date, 0 skipped ==========
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------ Build started: Project: students_t_example3, Configuration: Release Win32 ------
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Compiling...
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students_t_example3.cpp
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Linking...
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Generating code
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Finished generating code
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Autorun "i:\boost-06-05-03-1300\libs\math\test\math_test\release\students_t_example3.exe"
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Example3 using Student's t function. ..\..\..\..\..\..\boost-sandbox\libs\math_functions\example\students_t_example3.cpp Sat Aug 12 17:01:52 2006 140050727
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Portion wet_oxidation Direct_extraction difference
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0 71 76 -5
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1 61 68 -7
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2 50 48 2
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3 60 57 3
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Mean difference = -1.75
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Standard deviation of differences = 4.99166
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Student's t = -0.70117, if 3 degrees of freedom.
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Probability of the means being different is 0.533692.
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Build Time 0:04
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Build log was saved at "file://i:\boost-06-05-03-1300\libs\math\test\Math_test\students_t_example3\Release\BuildLog.htm"
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students_t_example3 - 0 error(s), 0 warning(s)
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========== Build: 1 succeeded, 0 failed, 0 up-to-date, 0 skipped ==========
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*/
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