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<a href="Bio-module.html">Package Bio</a> ::
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Module chi2
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<h1 class="epydoc">Module chi2</h1><p class="nomargin-top"><span class="codelink"><a href="Bio.Phylo.PAML.chi2-pysrc.html">source code</a></span></p>
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<td><span class="summary-sig"><a name="cdf_chi2"></a><span class="summary-sig-name">cdf_chi2</span>(<span class="summary-sig-arg">df</span>,
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<td><span class="summary-sig"><a href="Bio.Phylo.PAML.chi2-module.html#_ln_gamma_function" class="summary-sig-name" onclick="show_private();">_ln_gamma_function</a>(<span class="summary-sig-arg">alpha</span>)</span><br />
Compute the log of the gamma function for a given alpha.</td>
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<td><span class="summary-sig"><a href="Bio.Phylo.PAML.chi2-module.html#_incomplete_gamma" class="summary-sig-name" onclick="show_private();">_incomplete_gamma</a>(<span class="summary-sig-arg">x</span>,
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Compute an incomplete gamma ratio.</td>
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<a name="__package__"></a><span class="summary-name">__package__</span> = <code title="'Bio.Phylo.PAML'"><code class="variable-quote">'</code><code class="variable-string">Bio.Phylo.PAML</code><code class="variable-quote">'</code></code>
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<h3 class="epydoc"><span class="sig"><span class="sig-name">_ln_gamma_function</span>(<span class="sig-arg">alpha</span>)</span>
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<p>Compute the log of the gamma function for a given alpha.</p>
<p>Comments from Z. Yang: Returns ln(gamma(alpha)) for alpha>0,
accurate to 10 decimal places. Stirling's formula is used for the central
polynomial part of the procedure. Pike MC & Hill ID (1966) Algorithm
291: Logarithm of the gamma function. Communications of the Association
for Computing Machinery, 9:684</p>
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<h3 class="epydoc"><span class="sig"><span class="sig-name">_incomplete_gamma</span>(<span class="sig-arg">x</span>,
<span class="sig-arg">alpha</span>)</span>
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<pre class="literalblock">
Compute an incomplete gamma ratio.
Comments from Z. Yang:
Returns the incomplete gamma ratio I(x,alpha) where x is the upper
limit of the integration and alpha is the shape parameter.
returns (-1) if in error
ln_gamma_alpha = ln(Gamma(alpha)), is almost redundant.
(1) series expansion if alpha>x or x<=1
(2) continued fraction otherwise
RATNEST FORTRAN by
Bhattacharjee GP (1970) The incomplete gamma integral. Applied Statistics,
19: 285-287 (AS32)
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