Examination of Length-Bias in EmP and RLP 75th Percentile Equations
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The top two plots show the ruffe Wr using the EmP (Left) or RLP (Right) 75th percentile method versus total length for all data sets in the 'validation' sample. In these plots, black regression lines are insignificant, red are significantly positive, and orange are significantly negative -- using a 5% significance level. It should be noted that Gerow et al. (2005) showed that these types of plots are not sensitive, when taken as a whole across all data sets, to detecting length-related biases. The bottom two plots are plots for comparing the EmP and RLP Wr values for each data set. The left-bottom plot simply plots the EmP Wr versus the RLP Wr values. The blue dashed line represent a 1:1 relationship. The scale of these plots make it look like the two metrics essentially give the same value for nearly all individuals in all data sets. However, in the right-bottom plot the difference between the two values (positive values mean EmP Wr > RLP Wr) versus total length is shown. The blue dashed line represents 'no difference' between the two equations. This plot shows striking (curvilinear) differences between the two Wr values. The curvilinearity is largely a byproduct of the EmP method using a quadratic model and the RLP method using a linear model. The quadratic term in the EmP method was found to be significantly important.