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move tables
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AEBilgrau committed Jul 22, 2015
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24 changes: 9 additions & 15 deletions knitr/effadj.Rnw
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Expand Up @@ -189,7 +189,7 @@ This method of estimating the log relative abundance between case and controls i
\begin{align}
\ddcq :&=
(\alpha_{ \tgt}C_{ q,\tgt,\case} - \alpha_{ \rref}C_{ q,\rref,\case}) \notag\\
&\quad - (\alpha_{ \tgt}C_{ q,\tgt,\ctrl} - \alpha_{ \rref}C_{ q,\rref,\ctrl}).
&\quad - (\alpha_{ s\tgt}C_{ q,\tgt,\ctrl} - \alpha_{ \rref}C_{ q,\rref,\ctrl}).
\label{eq:ddcq}
\end{align}
Thus we have $2^{-\ddcq}$ as the relative abundance of the original target transcript.
Expand Down Expand Up @@ -496,6 +496,9 @@ The mean of the bootstrap distribution seems consistently larger that the other

We see that the large number of dilution steps, as recommended, ensures a low impact of the AE induced standard error on the inference of the $\ddcq$.

% CIC table
\input{../output/Table1.tex}




Expand All @@ -518,6 +521,9 @@ The bootstrap method provides a standard deviation similar to the delta method a
Regarding the biological interest, we conclude there is evidence for a difference in \textit{miR-127} expression between testicular and nodal DLBCL whilst the data is not compatible with difference in \textit{miR-143} expression.
While the AE estimate had no influence in these cases a change in significance is easily imagined in other cases.

% DLBCL table
\input{../output/Table2.tex}



\subsection{Arabidopsis thaliana data}
Expand All @@ -535,7 +541,8 @@ First, using only 3 dilutions steps leaves very few degrees of freedom left in e
Secondly, as dilution curves are used for each group the four group-specific AE estimates will all contribute to increasing the standard error of the $\ddcq$.
While this example was selected as a worst-case scenario, it should illustrate that although the standard curves are seemingly well determined, it is hard to intuitively predetermine the combined effect on the standard error of $\ddcq$.


% Arabidopsis thaliana table
\input{../output/Table3.tex}



Expand Down Expand Up @@ -567,19 +574,6 @@ Overall, we see that the EC\&VA adjusted estimate is the only procedure consiste
Likewise, for many dilutions, the difference between the EC and EC\&VA procedures diminish as the uncertainty of the AE is relatively low.
Finally as expected a decrease in FPR corresponds to a decrease in TPR.


% CIC table
\input{../output/Table1.tex}


% DLBCL table
\input{../output/Table2.tex}


% Arabidopsis thaliana table
\input{../output/Table3.tex}


% Simulation tab
\input{../output/Table4.tex}

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