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  <title>Description of spence21</title>
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  <meta name="description" content="function for Spencer's 21-point graduation rule.">
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<h1>spence21
</h1>

<h2><a name="_name"></a>PURPOSE <a href="#_top"><img alt="^" border="0" src="../../../up.png"></a></h2>
<div class="box"><strong>function for Spencer's 21-point graduation rule.</strong></div>

<h2><a name="_synopsis"></a>SYNOPSIS <a href="#_top"><img alt="^" border="0" src="../../../up.png"></a></h2>
<div class="box"><strong>function yhat=spence21(y) </strong></div>

<h2><a name="_description"></a>DESCRIPTION <a href="#_top"><img alt="^" border="0" src="../../../up.png"></a></h2>
<div class="fragment"><pre class="comment"> function for Spencer's 21-point graduation rule.
 set out following Spencer's hand-calculation method,
 which isn't the shortest computer program!</pre></div>

<!-- crossreference -->
<h2><a name="_cross"></a>CROSS-REFERENCE INFORMATION <a href="#_top"><img alt="^" border="0" src="../../../up.png"></a></h2>
This function calls:
<ul style="list-style-image:url(../../../matlabicon.gif)">
</ul>
This function is called by:
<ul style="list-style-image:url(../../../matlabicon.gif)">
<li><a href="../../../chronux_2_10/locfit/Book/fig1_2.html" class="code" title="">fig1_2</a>	Local Regression and Likelihood, Figure 1.2.</li></ul>
<!-- crossreference -->


<h2><a name="_source"></a>SOURCE CODE <a href="#_top"><img alt="^" border="0" src="../../../up.png"></a></h2>
<div class="fragment"><pre>0001 <a name="_sub0" href="#_subfunctions" class="code">function yhat=spence21(y)</a>
0002 <span class="comment">% function for Spencer's 21-point graduation rule.</span>
0003 <span class="comment">% set out following Spencer's hand-calculation method,</span>
0004 <span class="comment">% which isn't the shortest computer program!</span>
0005 
0006 oten = ones(10,1);
0007 n = length(y);
0008 y = [ oten*y(1); y; oten*y(n) ];
0009 
0010 n = length(y);
0011 k = 4:(n-3);
0012 y1 = -y(k-3) + y(k-1) + 2*y(k) + y(k+1) -y(k+3);
0013 
0014 n = length(y1);
0015 k = 4:(n-3);
0016 y2 = y1(k-3)+y1(k-2)+y1(k-1)+y1(k)+y1(k+1)+y1(k+2)+y1(k+3);
0017 
0018 n = length(y2);
0019 k = 3:(n-2);
0020 y3 = y2(k-2)+y2(k-1)+y2(k)+y2(k+1)+y2(k+2);
0021 
0022 n = length(y3);
0023 k = 3:(n-2);
0024 y4 = y3(k-2)+y3(k-1)+y3(k)+y3(k+1)+y3(k+2);
0025 
0026 yhat = y4/350;
0027 <span class="keyword">return</span>;</pre></div>
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