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Revisiting advice on the analysis of count data
Author(s) -
Morrissey Michael B.,
Ruxton Graeme D.
Publication year - 2020
Publication title -
methods in ecology and evolution
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.425
H-Index - 105
ISSN - 2041-210X
DOI - 10.1111/2041-210x.13372
Subject(s) - count data , generalized linear model , statistics , estimator , linear model , mathematics , econometrics , logarithm , computer science , poisson distribution , mathematical analysis
O'Hara and Kotze ( Methods Ecol Evol 1: 118–122, 2010) present simulation results that appear to show very poor behaviour (as judged by bias and overall accuracy) of linear models applied to count data, especially in relation to GLM analysis. We considered O'Hara and Kotze's (2010) comparisons, and determined that the finding occurred primarily because the quantity that they estimated in their simulations of the linear model analysis (the mean of a transformation of the count data) was not the same quantity that was simulated and to which the results were compared (the logarithm of the mean of the count data). We correct this discrepancy, re‐run O'Hara and Kotze's simulations and add additional simple analyses. We found that the apparent superiority of the GLMs over linear models in O'Hara and Kotze's (2010) simulations was primarily an artefact of divergence in the meanings of results from the two analyses. After converting results from linear model analyses of transformed data to estimators of the same quantity as provided by the GLM, results from both analyses rarely differed substantially. Furthermore, under the circumstances considered by O'Hara and Kotze, we find that an even simpler implementation of linear model analysis, inference of the mean of the raw data, performs even better and gives identical results to the GLM. While the analysis of count data with GLMs can certainly provide many benefits, we strongly caution against interpreting O'Hara and Kotze's (2010) results as evidence that simpler approaches are severely flawed.

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