Kubke Lab:Research/ABR/Notebook/2013/10/28

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=General Entries=
=General Entries=
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* Insert content here...
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* Tried a couple of methods for smoothing the V(t) data to use for analysis. Data is noisy, but setting spar on smooth.spline seems to do the job - need to apply smooth.spline on the raw data and calculate the first derviative through diffV/difft. However, I am uncertain as to how to justify the actual value of spar. Seems that something around 0.25 does a pretty good job - but would like to have some way or rationalising what that value should be. One way might be to look at the noise on the spont trace, and extract from there some value of noise that I can then use to determine spar? Mmmm... [[User:M Fabiana Kubke|MF Kubke]] 19:42, 27 October 2013 (EDT)
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=Personal Entries=
=Personal Entries=
==Fabiana==
==Fabiana==
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*Enter content here
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*From file 2013-10-28-MFK.Rmd
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<html>
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<body>
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<h1>Trying to get case name from user</h1>
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<p>List the available folders and prompt user to choose case:</p>
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<pre><code class="r">dir()
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</code></pre>
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<pre><code>##  [1] &quot;2013-10-27-MFK.Rmd&quot;  &quot;2013-10-27.html&quot;    &quot;2013-10-27.R&quot;     
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##  [4] &quot;2013-10-27.txt&quot;      &quot;2013-10-28-MFK.html&quot; &quot;2013-10-28-MFK.md&quot; 
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##  [7] &quot;2013-10-28-MFK.Rmd&quot;  &quot;Copy189L0A.ABR&quot;      &quot;Copy224l0a.txt&quot;   
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## [10] &quot;Copy233L0B.ABR.log&quot;  &quot;Copy233L0B.ABR.txt&quot;  &quot;figure&quot;           
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## [13] &quot;knitr-testr.html&quot;    &quot;knitr-testr.md&quot;      &quot;knitr-testr.Rmd&quot;   
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## [16] &quot;kntR2.html&quot;          &quot;kntR2.md&quot;            &quot;kntR2.Rmd&quot;         
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## [19] &quot;my first knitr.html&quot; &quot;my first knitr.md&quot;  &quot;my first knitr.Rmd&quot;
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## [22] &quot;mydata_new&quot;          &quot;mydata_new.txt&quot;      &quot;readrawabr.R&quot;     
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## [25] &quot;Sandbox1.R&quot;          &quot;Sandbox1.txt&quot;        &quot;texput.log&quot;
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</code></pre>
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<pre><code class="r">newdir &lt;- readline(&quot;enter case number: &quot;)
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</code></pre>
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<pre><code>## enter case number:
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</code></pre>
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<pre><code class="r">print(newdir)
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</code></pre>
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<pre><code>## [1] &quot;&quot;
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</code></pre>
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<p>I can use this then to change the wd() to where the new cases are. </p>
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<pre><code class="r">basedir &lt;- getwd()
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casedir &lt;- paste(basedir, newdir, sep = &quot;/&quot;)
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setwd(casedir)
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dir()  #test
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</code></pre>
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<pre><code>##  [1] &quot;2013-10-27-MFK.Rmd&quot;  &quot;2013-10-27.html&quot;    &quot;2013-10-27.R&quot;     
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##  [4] &quot;2013-10-27.txt&quot;      &quot;2013-10-28-MFK.html&quot; &quot;2013-10-28-MFK.md&quot; 
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##  [7] &quot;2013-10-28-MFK.Rmd&quot;  &quot;Copy189L0A.ABR&quot;      &quot;Copy224l0a.txt&quot;   
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## [10] &quot;Copy233L0B.ABR.log&quot;  &quot;Copy233L0B.ABR.txt&quot;  &quot;figure&quot;           
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## [13] &quot;knitr-testr.html&quot;    &quot;knitr-testr.md&quot;      &quot;knitr-testr.Rmd&quot;   
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## [16] &quot;kntR2.html&quot;          &quot;kntR2.md&quot;            &quot;kntR2.Rmd&quot;         
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## [19] &quot;my first knitr.html&quot; &quot;my first knitr.md&quot;  &quot;my first knitr.Rmd&quot;
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## [22] &quot;mydata_new&quot;          &quot;mydata_new.txt&quot;      &quot;readrawabr.R&quot;     
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## [25] &quot;Sandbox1.R&quot;          &quot;Sandbox1.txt&quot;        &quot;texput.log&quot;
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</code></pre>
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<p>I should then read the files in and go back to base dir so that I can call the functions. Another way of going about this</p>
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<pre><code class="r">dir.create(file.path(basedir, casedir), showWarnings = FALSE)
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setwd(file.path(basedir, casedir))
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</code></pre>
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<pre><code>## Error: cannot change working directory
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</code></pre>
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<h2>Try to smooth the ABR trace and calculate local max and min</h2>
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<pre><code class="r">mydatanew &lt;- read.table(&quot;mydata_new&quot;)
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head(mydatanew)
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</code></pre>
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<pre><code>##  msec left right spont  bin
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## 1 0.00 1000  1000  1000 1000
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## 2 0.02 1000  1000  1000 1000
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## 3 0.04 1000  1000  1000 1000
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## 4 0.06 1000  1000  1000 1000
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## 5 0.08 1000  1000  1000 1000
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## 6 0.10 1000  1000  1000 1000
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</code></pre>
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<p>Realised that after adding the bincomp column to the datafile, I forgot to overwrite the data file - so mydata_new still had the original variables but not the new one - fixing that. </p>
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<pre><code class="r">mydata &lt;- read.table(&quot;Copy233L0B.ABR.txt&quot;, header = T)
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head(mydata)  #passed test
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</code></pre>
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<pre><code>##  msec left right spont  bin
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## 1 0.00 1000  1000  1000 1000
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## 2 0.02 1000  1000  1000 1000
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## 3 0.04 1000  1000  1000 1000
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## 4 0.06 1000  1000  1000 1000
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## 5 0.08 1000  1000  1000 1000
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## 6 0.10 1000  1000  1000 1000
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</code></pre>
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<pre><code class="r">write.table(mydata, &quot;mydata_new&quot;)
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mydata_new &lt;- read.table(&quot;mydata_new&quot;, header = T)
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head(mydata_new)  #passed test
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</code></pre>
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<pre><code>##  msec left right spont  bin
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## 1 0.00 1000  1000  1000 1000
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## 2 0.02 1000  1000  1000 1000
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## 3 0.04 1000  1000  1000 1000
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## 4 0.06 1000  1000  1000 1000
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## 5 0.08 1000  1000  1000 1000
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## 6 0.10 1000  1000  1000 1000
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</code></pre>
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<pre><code class="r">mydata_new$bincomp[1:1000] &lt;- (mydata_new$bin[1:1000] - (mydata_new$left[1:1000] +
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    mydata_new$right[1:1000]))
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head(mydata_new)
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</code></pre>
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<pre><code>##  msec left right spont  bin bincomp
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## 1 0.00 1000  1000  1000 1000  -1000
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## 2 0.02 1000  1000  1000 1000  -1000
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## 3 0.04 1000  1000  1000 1000  -1000
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## 4 0.06 1000  1000  1000 1000  -1000
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## 5 0.08 1000  1000  1000 1000  -1000
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## 6 0.10 1000  1000  1000 1000  -1000
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</code></pre>
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<pre><code class="r">write.table(mydata_new, &quot;mydata_new.txt&quot;)  #passed test
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</code></pre>
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<p>Now I have a working file that is separate from the original one which I can put in the analysis folder (not sure I really want that in the end, but ok for now)</p>
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<p>Options: </p>
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<h3>diff function</h3>
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<p>Tried the diff function - but (unsurprisingly) I get heaps of noise</p>
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<pre><code class="r">mydata_new$diffleft[2:1000] &lt;- diff(mydata_new$left)/diff(mydata_new$msec)
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par(mfrow = c(1, 2))
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plot(mydata_new[c(1, 2)], type = &quot;l&quot;, main = &quot;original left&quot;)
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plot(mydata_new[c(1, 7)], ylim = c(-3000, 3000), type = &quot;l&quot;, main = &quot;firs diff of left&quot;)
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</code></pre>
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<p><img 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" alt="plot of chunk unnamed-chunk-6"/> </p>
 +
 
 +
<p>(Need to bound to [2:1000] because the diff function returns N-1 values. )</p>
 +
 
 +
<h3>smooth.spline</h3>
 +
 
 +
<p>Trying smooth.spline. Trying to smooth on the diff doesnt work probably because of infinite values.</p>
 +
 
 +
<p>The smooth.spline gives me a rather noisy plot </p>
 +
 
 +
<pre><code class="r">test &lt;- smooth.spline(mydata_new$msec, mydata_new$left)
 +
par(mfrow = c(1, 3))
 +
plot(mydata_new$msec, mydata_new$left, type = &quot;l&quot;, main = &quot;original left&quot;)
 +
plot(test$x, test$y, type = &quot;l&quot;, main = &quot;splined left&quot;)
 +
mydata_new$diffleft2[2:1000] &lt;- diff(test$y)/diff(test$x)
 +
plot(mydata_new$msec, mydata_new$diffleft2, ylim = c(-3000, 3000), type = &quot;l&quot;,
 +
    main = &quot;first diff of splined left&quot;)
 +
</code></pre>
 +
 
 +
<p><img 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" alt="plot of chunk unnamed-chunk-7"/> </p>
 +
 
 +
<p>but can smoot by setting spar to some value other than NULL</p>
 +
 
 +
<pre><code class="r">test &lt;- smooth.spline(mydata_new$msec, mydata_new$left, spar = 0.5)
 +
par(mfrow = c(1, 3))
 +
plot(mydata_new$msec, mydata_new$left, type = &quot;l&quot;, main = &quot;original left&quot;)
 +
plot(test$x, test$y, type = &quot;l&quot;)
 +
mydata_new$diffleft2[2:1000] &lt;- diff(test$y)/diff(test$x)
 +
plot(mydata_new$msec, mydata_new$diffleft2, ylim = c(-3000, 3000), type = &quot;l&quot;,
 +
    main = &quot;first diff of splined left&quot;)
 +
</code></pre>
 +
 
 +
<p><img 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" alt="plot of chunk unnamed-chunk-8"/> </p>
 +
 
 +
<p>Comparisons of different spar values:</p>
 +
 
 +
<pre><code class="r">
 +
par(mfrow = c(1, 3))
 +
test &lt;- smooth.spline(mydata_new$msec, mydata_new$left)
 +
plot(mydata_new$msec, mydata_new$left, type = &quot;l&quot;, main = &quot;original left&quot;)
 +
plot(test$x, test$y, type = &quot;l&quot;, main = &quot;spar = NULL on left&quot;)
 +
mydata_new$diffleft2[2:1000] &lt;- diff(test$y)/diff(test$x)
 +
plot(mydata_new$msec, mydata_new$diffleft2, ylim = c(-3000, 3000), type = &quot;l&quot;,
 +
    main = &quot;first diff of splined left&quot;)
 +
</code></pre>
 +
 
 +
<p><img 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" alt="plot of chunk unnamed-chunk-9"/> </p>
 +
 
 +
<pre><code class="r">
 +
par(mfrow = c(1, 3))
 +
test &lt;- smooth.spline(mydata_new$msec, mydata_new$left, spar = 0.25)
 +
plot(mydata_new$msec, mydata_new$left, type = &quot;l&quot;, main = &quot;original left&quot;)
 +
plot(test$x, test$y, type = &quot;l&quot;, main = &quot;spar = 0.25 on left&quot;)
 +
mydata_new$diffleft2[2:1000] &lt;- diff(test$y)/diff(test$x)
 +
plot(mydata_new$msec, mydata_new$diffleft2, ylim = c(-3000, 3000), type = &quot;l&quot;,
 +
    main = &quot;first diff of splined left&quot;)
 +
</code></pre>
 +
 
 +
<p><img 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" alt="plot of chunk unnamed-chunk-9"/> </p>
 +
 
 +
<pre><code class="r">
 +
par(mfrow = c(1, 3))
 +
test &lt;- smooth.spline(mydata_new$msec, mydata_new$left, spar = 0.5)
 +
plot(mydata_new$msec, mydata_new$left, type = &quot;l&quot;, main = &quot;original left&quot;)
 +
plot(test$x, test$y, type = &quot;l&quot;, main = &quot;spar = 0.5 on left&quot;)
 +
mydata_new$diffleft2[2:1000] &lt;- diff(test$y)/diff(test$x)
 +
plot(mydata_new$msec, mydata_new$diffleft2, ylim = c(-3000, 3000), type = &quot;l&quot;,
 +
    main = &quot;first diff of splined left&quot;)
 +
</code></pre>
 +
 
 +
<p><img 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" alt="plot of chunk unnamed-chunk-9"/> </p>
 +
 
 +
<pre><code class="r">
 +
par(mfrow = c(1, 3))
 +
test &lt;- smooth.spline(mydata_new$msec, mydata_new$left, spar = 0.75)
 +
plot(mydata_new$msec, mydata_new$left, type = &quot;l&quot;, main = &quot;original left&quot;)
 +
plot(test$x, test$y, type = &quot;l&quot;, main = &quot;spar = 0.75 on left&quot;)
 +
mydata_new$diffleft2[2:1000] &lt;- diff(test$y)/diff(test$x)
 +
plot(mydata_new$msec, mydata_new$diffleft2, ylim = c(-3000, 3000), type = &quot;l&quot;,
 +
    main = &quot;first diff of splined left&quot;)
 +
</code></pre>
 +
 
 +
<p><img 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" alt="plot of chunk unnamed-chunk-9"/> </p>
 +
 
 +
<pre><code class="r">
 +
par(mfrow = c(1, 3))
 +
test &lt;- smooth.spline(mydata_new$msec, mydata_new$left, spar = 1)
 +
plot(mydata_new$msec, mydata_new$left, type = &quot;l&quot;, main = &quot;original left&quot;)
 +
plot(test$x, test$y, type = &quot;l&quot;, main = &quot;spar = 1 on left&quot;)
 +
mydata_new$diffleft2[2:1000] &lt;- diff(test$y)/diff(test$x)
 +
plot(mydata_new$msec, mydata_new$diffleft2, ylim = c(-3000, 3000), type = &quot;l&quot;,
 +
    main = &quot;first diff of splined left&quot;)
 +
</code></pre>
 +
 
 +
<p><img 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" alt="plot of chunk unnamed-chunk-9"/> </p>
 +
 
 +
<p>Package ppc from
 +
<a href="http://www-stat.stanford.edu/%7Etibs/PPC/Rdist/index.html">http://www-stat.stanford.edu/~tibs/PPC/Rdist/index.html</a>
 +
=&gt; seem to be unable to install package - get an error that it is not an OS X binary package</p>
 +
 
 +
<p><a href="http://finzi.psych.upenn.edu/R/library/ppc/html/ppc.peaks.html">http://finzi.psych.upenn.edu/R/library/ppc/html/ppc.peaks.html</a></p>
 +
 
 +
<p>Trying package zoo</p>
 +
 
 +
</body>
 +
 
 +
</html>
==Andy==
==Andy==

Revision as of 18:46, 27 October 2013

Hearing development in barn owls Main project page
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Contents

General Entries

  • Tried a couple of methods for smoothing the V(t) data to use for analysis. Data is noisy, but setting spar on smooth.spline seems to do the job - need to apply smooth.spline on the raw data and calculate the first derviative through diffV/difft. However, I am uncertain as to how to justify the actual value of spar. Seems that something around 0.25 does a pretty good job - but would like to have some way or rationalising what that value should be. One way might be to look at the noise on the spont trace, and extract from there some value of noise that I can then use to determine spar? Mmmm... MF Kubke 19:42, 27 October 2013 (EDT)

Personal Entries

Fabiana

  • From file 2013-10-28-MFK.Rmd

Trying to get case name from user

List the available folders and prompt user to choose case:

dir()
##  [1] "2013-10-27-MFK.Rmd"  "2013-10-27.html"     "2013-10-27.R"       
##  [4] "2013-10-27.txt"      "2013-10-28-MFK.html" "2013-10-28-MFK.md"  
##  [7] "2013-10-28-MFK.Rmd"  "Copy189L0A.ABR"      "Copy224l0a.txt"     
## [10] "Copy233L0B.ABR.log"  "Copy233L0B.ABR.txt"  "figure"             
## [13] "knitr-testr.html"    "knitr-testr.md"      "knitr-testr.Rmd"    
## [16] "kntR2.html"          "kntR2.md"            "kntR2.Rmd"          
## [19] "my first knitr.html" "my first knitr.md"   "my first knitr.Rmd" 
## [22] "mydata_new"          "mydata_new.txt"      "readrawabr.R"       
## [25] "Sandbox1.R"          "Sandbox1.txt"        "texput.log"
newdir <- readline("enter case number: ")
## enter case number:
print(newdir)
## [1] ""

I can use this then to change the wd() to where the new cases are.

basedir <- getwd()
casedir <- paste(basedir, newdir, sep = "/")
setwd(casedir)
dir()  #test
##  [1] "2013-10-27-MFK.Rmd"  "2013-10-27.html"     "2013-10-27.R"       
##  [4] "2013-10-27.txt"      "2013-10-28-MFK.html" "2013-10-28-MFK.md"  
##  [7] "2013-10-28-MFK.Rmd"  "Copy189L0A.ABR"      "Copy224l0a.txt"     
## [10] "Copy233L0B.ABR.log"  "Copy233L0B.ABR.txt"  "figure"             
## [13] "knitr-testr.html"    "knitr-testr.md"      "knitr-testr.Rmd"    
## [16] "kntR2.html"          "kntR2.md"            "kntR2.Rmd"          
## [19] "my first knitr.html" "my first knitr.md"   "my first knitr.Rmd" 
## [22] "mydata_new"          "mydata_new.txt"      "readrawabr.R"       
## [25] "Sandbox1.R"          "Sandbox1.txt"        "texput.log"

I should then read the files in and go back to base dir so that I can call the functions. Another way of going about this

dir.create(file.path(basedir, casedir), showWarnings = FALSE)
setwd(file.path(basedir, casedir))
## Error: cannot change working directory

Try to smooth the ABR trace and calculate local max and min

mydatanew <- read.table("mydata_new")
head(mydatanew)
##   msec left right spont  bin
## 1 0.00 1000  1000  1000 1000
## 2 0.02 1000  1000  1000 1000
## 3 0.04 1000  1000  1000 1000
## 4 0.06 1000  1000  1000 1000
## 5 0.08 1000  1000  1000 1000
## 6 0.10 1000  1000  1000 1000

Realised that after adding the bincomp column to the datafile, I forgot to overwrite the data file - so mydata_new still had the original variables but not the new one - fixing that.

mydata <- read.table("Copy233L0B.ABR.txt", header = T)
head(mydata)  #passed test
##   msec left right spont  bin
## 1 0.00 1000  1000  1000 1000
## 2 0.02 1000  1000  1000 1000
## 3 0.04 1000  1000  1000 1000
## 4 0.06 1000  1000  1000 1000
## 5 0.08 1000  1000  1000 1000
## 6 0.10 1000  1000  1000 1000
write.table(mydata, "mydata_new")
mydata_new <- read.table("mydata_new", header = T)
head(mydata_new)  #passed test
##   msec left right spont  bin
## 1 0.00 1000  1000  1000 1000
## 2 0.02 1000  1000  1000 1000
## 3 0.04 1000  1000  1000 1000
## 4 0.06 1000  1000  1000 1000
## 5 0.08 1000  1000  1000 1000
## 6 0.10 1000  1000  1000 1000
mydata_new$bincomp[1:1000] <- (mydata_new$bin[1:1000] - (mydata_new$left[1:1000] + 
    mydata_new$right[1:1000]))
head(mydata_new)
##   msec left right spont  bin bincomp
## 1 0.00 1000  1000  1000 1000   -1000
## 2 0.02 1000  1000  1000 1000   -1000
## 3 0.04 1000  1000  1000 1000   -1000
## 4 0.06 1000  1000  1000 1000   -1000
## 5 0.08 1000  1000  1000 1000   -1000
## 6 0.10 1000  1000  1000 1000   -1000
write.table(mydata_new, "mydata_new.txt")  #passed test

Now I have a working file that is separate from the original one which I can put in the analysis folder (not sure I really want that in the end, but ok for now)

Options:

diff function

Tried the diff function - but (unsurprisingly) I get heaps of noise

mydata_new$diffleft[2:1000] <- diff(mydata_new$left)/diff(mydata_new$msec)
par(mfrow = c(1, 2))
plot(mydata_new[c(1, 2)], type = "l", main = "original left")
plot(mydata_new[c(1, 7)], ylim = c(-3000, 3000), type = "l", main = "firs diff of left")

plot of chunk unnamed-chunk-6

(Need to bound to [2:1000] because the diff function returns N-1 values. )

smooth.spline

Trying smooth.spline. Trying to smooth on the diff doesnt work probably because of infinite values.

The smooth.spline gives me a rather noisy plot

test <- smooth.spline(mydata_new$msec, mydata_new$left)
par(mfrow = c(1, 3))
plot(mydata_new$msec, mydata_new$left, type = "l", main = "original left")
plot(test$x, test$y, type = "l", main = "splined left")
mydata_new$diffleft2[2:1000] <- diff(test$y)/diff(test$x)
plot(mydata_new$msec, mydata_new$diffleft2, ylim = c(-3000, 3000), type = "l", 
    main = "first diff of splined left")

plot of chunk unnamed-chunk-7

but can smoot by setting spar to some value other than NULL

test <- smooth.spline(mydata_new$msec, mydata_new$left, spar = 0.5)
par(mfrow = c(1, 3))
plot(mydata_new$msec, mydata_new$left, type = "l", main = "original left")
plot(test$x, test$y, type = "l")
mydata_new$diffleft2[2:1000] <- diff(test$y)/diff(test$x)
plot(mydata_new$msec, mydata_new$diffleft2, ylim = c(-3000, 3000), type = "l", 
    main = "first diff of splined left")

plot of chunk unnamed-chunk-8

Comparisons of different spar values:


par(mfrow = c(1, 3))
test <- smooth.spline(mydata_new$msec, mydata_new$left)
plot(mydata_new$msec, mydata_new$left, type = "l", main = "original left")
plot(test$x, test$y, type = "l", main = "spar = NULL on left")
mydata_new$diffleft2[2:1000] <- diff(test$y)/diff(test$x)
plot(mydata_new$msec, mydata_new$diffleft2, ylim = c(-3000, 3000), type = "l", 
    main = "first diff of splined left")

plot of chunk unnamed-chunk-9


par(mfrow = c(1, 3))
test <- smooth.spline(mydata_new$msec, mydata_new$left, spar = 0.25)
plot(mydata_new$msec, mydata_new$left, type = "l", main = "original left")
plot(test$x, test$y, type = "l", main = "spar = 0.25 on left")
mydata_new$diffleft2[2:1000] <- diff(test$y)/diff(test$x)
plot(mydata_new$msec, mydata_new$diffleft2, ylim = c(-3000, 3000), type = "l", 
    main = "first diff of splined left")

plot of chunk unnamed-chunk-9


par(mfrow = c(1, 3))
test <- smooth.spline(mydata_new$msec, mydata_new$left, spar = 0.5)
plot(mydata_new$msec, mydata_new$left, type = "l", main = "original left")
plot(test$x, test$y, type = "l", main = "spar = 0.5 on left")
mydata_new$diffleft2[2:1000] <- diff(test$y)/diff(test$x)
plot(mydata_new$msec, mydata_new$diffleft2, ylim = c(-3000, 3000), type = "l", 
    main = "first diff of splined left")

plot of chunk unnamed-chunk-9


par(mfrow = c(1, 3))
test <- smooth.spline(mydata_new$msec, mydata_new$left, spar = 0.75)
plot(mydata_new$msec, mydata_new$left, type = "l", main = "original left")
plot(test$x, test$y, type = "l", main = "spar = 0.75 on left")
mydata_new$diffleft2[2:1000] <- diff(test$y)/diff(test$x)
plot(mydata_new$msec, mydata_new$diffleft2, ylim = c(-3000, 3000), type = "l", 
    main = "first diff of splined left")

plot of chunk unnamed-chunk-9


par(mfrow = c(1, 3))
test <- smooth.spline(mydata_new$msec, mydata_new$left, spar = 1)
plot(mydata_new$msec, mydata_new$left, type = "l", main = "original left")
plot(test$x, test$y, type = "l", main = "spar = 1 on left")
mydata_new$diffleft2[2:1000] <- diff(test$y)/diff(test$x)
plot(mydata_new$msec, mydata_new$diffleft2, ylim = c(-3000, 3000), type = "l", 
    main = "first diff of splined left")

plot of chunk unnamed-chunk-9

Package ppc from http://www-stat.stanford.edu/~tibs/PPC/Rdist/index.html => seem to be unable to install package - get an error that it is not an OS X binary package

http://finzi.psych.upenn.edu/R/library/ppc/html/ppc.peaks.html

Trying package zoo

Andy

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Oris

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