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Cv to lognormal se correction (#208)
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* make correction about CV to SE
* edit to survey CV text

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Co-authored-by: Richard Methot <[email protected]>
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e-perl-NOAA and Rick-Methot-NOAA authored Jan 2, 2024
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Expand Up @@ -435,7 +435,7 @@ \subsection{Indices}
\item >0 = Student's t-distribution in log space with degrees of freedom equal to this value. For DF>30, results will be nearly identical to that for lognormal distribution. A DF value of about 4 gives a fat-tail to the distribution. The standard error values entered in the data file must be the standard error in log\textsubscript{e} space.
\end{itemize}

Abundance indices typically have a lognormal error structure with units of standard error of log\textsubscript{e}(index). If the variance of the observations is available only as a coefficient of variation (CV), then the value of standard error can be approximated as $\sqrt{(log_e(1+(CV)^2))}$ where the CV is the standard error of the observation divided by the mean value of the observation.
Abundance indices typically assumed to have a lognormal error structure with units of standard error of log\textsubscript{e}(index). If the variance of the observations is available only as a coefficient of variation (CV = standard error of the observation divided by the mean value of the observation in natural space), then the value of standard error in log space can be calculated as $\sqrt{(log_e(1+(CV)^2))}$.

For the normal error structure, the entered values for standard error are interpreted directly as a standard error in arithmetic space and not as a CV. Thus switching from a lognormal to a normal error structure forces the user to provide different values for the standard error input in the data file.

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