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| <div class="titlepage"><div><div><h2 class="title" style="clear: both"> |
| <a name="math_toolkit.stat_tut"></a><a class="link" href="stat_tut.html" title="Statistical Distributions Tutorial">Statistical Distributions Tutorial</a> |
| </h2></div></div></div> |
| <div class="toc"><dl> |
| <dt><span class="section"><a href="stat_tut/overview.html">Overview of Distributions</a></span></dt> |
| <dd><dl> |
| <dt><span class="section"><a href="stat_tut/overview/headers.html">Headers and |
| Namespaces</a></span></dt> |
| <dt><span class="section"><a href="stat_tut/overview/objects.html">Distributions |
| are Objects</a></span></dt> |
| <dt><span class="section"><a href="stat_tut/overview/generic.html">Generic operations |
| common to all distributions are non-member functions</a></span></dt> |
| <dt><span class="section"><a href="stat_tut/overview/complements.html">Complements |
| are supported too - and when to use them</a></span></dt> |
| <dt><span class="section"><a href="stat_tut/overview/parameters.html">Parameters |
| can be calculated</a></span></dt> |
| <dt><span class="section"><a href="stat_tut/overview/summary.html">Summary</a></span></dt> |
| </dl></dd> |
| <dt><span class="section"><a href="stat_tut/weg.html">Worked Examples</a></span></dt> |
| <dd><dl> |
| <dt><span class="section"><a href="stat_tut/weg/dist_construct_eg.html">Distribution |
| Construction Examples</a></span></dt> |
| <dt><span class="section"><a href="stat_tut/weg/st_eg.html">Student's t Distribution |
| Examples</a></span></dt> |
| <dd><dl> |
| <dt><span class="section"><a href="stat_tut/weg/st_eg/tut_mean_intervals.html">Calculating |
| confidence intervals on the mean with the Students-t distribution</a></span></dt> |
| <dt><span class="section"><a href="stat_tut/weg/st_eg/tut_mean_test.html">Testing |
| a sample mean for difference from a "true" mean</a></span></dt> |
| <dt><span class="section"><a href="stat_tut/weg/st_eg/tut_mean_size.html">Estimating |
| how large a sample size would have to become in order to give a significant |
| Students-t test result with a single sample test</a></span></dt> |
| <dt><span class="section"><a href="stat_tut/weg/st_eg/two_sample_students_t.html">Comparing |
| the means of two samples with the Students-t test</a></span></dt> |
| <dt><span class="section"><a href="stat_tut/weg/st_eg/paired_st.html">Comparing |
| two paired samples with the Student's t distribution</a></span></dt> |
| </dl></dd> |
| <dt><span class="section"><a href="stat_tut/weg/cs_eg.html">Chi Squared Distribution |
| Examples</a></span></dt> |
| <dd><dl> |
| <dt><span class="section"><a href="stat_tut/weg/cs_eg/chi_sq_intervals.html">Confidence |
| Intervals on the Standard Deviation</a></span></dt> |
| <dt><span class="section"><a href="stat_tut/weg/cs_eg/chi_sq_test.html">Chi-Square |
| Test for the Standard Deviation</a></span></dt> |
| <dt><span class="section"><a href="stat_tut/weg/cs_eg/chi_sq_size.html">Estimating |
| the Required Sample Sizes for a Chi-Square Test for the Standard Deviation</a></span></dt> |
| </dl></dd> |
| <dt><span class="section"><a href="stat_tut/weg/f_eg.html">F Distribution Examples</a></span></dt> |
| <dt><span class="section"><a href="stat_tut/weg/binom_eg.html">Binomial Distribution |
| Examples</a></span></dt> |
| <dd><dl> |
| <dt><span class="section"><a href="stat_tut/weg/binom_eg/binomial_coinflip_example.html">Binomial |
| Coin-Flipping Example</a></span></dt> |
| <dt><span class="section"><a href="stat_tut/weg/binom_eg/binomial_quiz_example.html">Binomial |
| Quiz Example</a></span></dt> |
| <dt><span class="section"><a href="stat_tut/weg/binom_eg/binom_conf.html">Calculating |
| Confidence Limits on the Frequency of Occurrence for a Binomial Distribution</a></span></dt> |
| <dt><span class="section"><a href="stat_tut/weg/binom_eg/binom_size_eg.html">Estimating |
| Sample Sizes for a Binomial Distribution.</a></span></dt> |
| </dl></dd> |
| <dt><span class="section"><a href="stat_tut/weg/geometric_eg.html">Geometric Distribution |
| Examples</a></span></dt> |
| <dt><span class="section"><a href="stat_tut/weg/neg_binom_eg.html">Negative Binomial |
| Distribution Examples</a></span></dt> |
| <dd><dl> |
| <dt><span class="section"><a href="stat_tut/weg/neg_binom_eg/neg_binom_conf.html">Calculating |
| Confidence Limits on the Frequency of Occurrence for the Negative Binomial |
| Distribution</a></span></dt> |
| <dt><span class="section"><a href="stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html">Estimating |
| Sample Sizes for the Negative Binomial.</a></span></dt> |
| <dt><span class="section"><a href="stat_tut/weg/neg_binom_eg/negative_binomial_example1.html">Negative |
| Binomial Sales Quota Example.</a></span></dt> |
| <dt><span class="section"><a href="stat_tut/weg/neg_binom_eg/negative_binomial_example2.html">Negative |
| Binomial Table Printing Example.</a></span></dt> |
| </dl></dd> |
| <dt><span class="section"><a href="stat_tut/weg/normal_example.html">Normal Distribution |
| Examples</a></span></dt> |
| <dd><dl><dt><span class="section"><a href="stat_tut/weg/normal_example/normal_misc.html">Some |
| Miscellaneous Examples of the Normal (Gaussian) Distribution</a></span></dt></dl></dd> |
| <dt><span class="section"><a href="stat_tut/weg/inverse_chi_squared_eg.html">Inverse |
| Chi-Squared Distribution Bayes Example</a></span></dt> |
| <dt><span class="section"><a href="stat_tut/weg/nccs_eg.html">Non Central Chi |
| Squared Example</a></span></dt> |
| <dd><dl><dt><span class="section"><a href="stat_tut/weg/nccs_eg/nccs_power_eg.html">Tables |
| of the power function of the chi<sup>2</sup> test.</a></span></dt></dl></dd> |
| <dt><span class="section"><a href="stat_tut/weg/error_eg.html">Error Handling |
| Example</a></span></dt> |
| <dt><span class="section"><a href="stat_tut/weg/find_eg.html">Find Location and |
| Scale Examples</a></span></dt> |
| <dd><dl> |
| <dt><span class="section"><a href="stat_tut/weg/find_eg/find_location_eg.html">Find |
| Location (Mean) Example</a></span></dt> |
| <dt><span class="section"><a href="stat_tut/weg/find_eg/find_scale_eg.html">Find |
| Scale (Standard Deviation) Example</a></span></dt> |
| <dt><span class="section"><a href="stat_tut/weg/find_eg/find_mean_and_sd_eg.html">Find |
| mean and standard deviation example</a></span></dt> |
| </dl></dd> |
| <dt><span class="section"><a href="stat_tut/weg/nag_library.html">Comparison with |
| C, R, FORTRAN-style Free Functions</a></span></dt> |
| <dt><span class="section"><a href="stat_tut/weg/c_sharp.html">Using the Distributions |
| from Within C#</a></span></dt> |
| </dl></dd> |
| <dt><span class="section"><a href="stat_tut/variates.html">Random Variates and Distribution |
| Parameters</a></span></dt> |
| <dt><span class="section"><a href="stat_tut/dist_params.html">Discrete Probability |
| Distributions</a></span></dt> |
| </dl></div> |
| <p> |
| This library is centred around statistical distributions, this tutorial will |
| give you an overview of what they are, how they can be used, and provides a |
| few worked examples of applying the library to statistical tests. |
| </p> |
| </div> |
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| <td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012-2014 Nikhar Agrawal, |
| Anton Bikineev, Paul A. Bristow, Marco Guazzone, Christopher Kormanyos, Hubert |
| Holin, Bruno Lalande, John Maddock, Johan Råde, Gautam Sewani, Benjamin Sobotta, |
| Thijs van den Berg, Daryle Walker and Xiaogang Zhang<p> |
| Distributed under the Boost Software License, Version 1.0. (See accompanying |
| file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>) |
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