2013
DOI: 10.1653/024.096.0361
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Logistic Regression is a better Method of Analysis Than Linear Regression of Arcsine Square Root Transformed Proportional Diapause Data ofPieris melete(Lepidoptera: Pieridae)

Abstract: The merits of using the arcsine transformation prior to analyzing proportion data is being questioned in the published literature. While arcsine transformation stabilizes variance and normalizes proportional data, there are several reasons why this method can be problematic. An alternative analysis proposed to address the problems with normality of proportion data is the Generalized Linear Model logistic regression analysis. We compared the frequency of use of arcsine through time in ten leading biological jou… Show more

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Cited by 10 publications
(5 citation statements)
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“…Each OTU count distribution was evaluated for normality with quantile-quantile plots and the Shapiro-Wilk test for normality 66 . A logistic regression with unrarefied count data with an offset was selected over a linear regression with proportion data from the rarefied table since the data were not normally distributed and evidence suggests logistic regressions perform better than arcsine-transformed data in linear regressions 67 . For all models, temperature, nutrients, and scarring were assessed as fixed effects and factorial interaction terms and tank and colony as separate random effects.…”
Section: Methodsmentioning
confidence: 99%
“…Each OTU count distribution was evaluated for normality with quantile-quantile plots and the Shapiro-Wilk test for normality 66 . A logistic regression with unrarefied count data with an offset was selected over a linear regression with proportion data from the rarefied table since the data were not normally distributed and evidence suggests logistic regressions perform better than arcsine-transformed data in linear regressions 67 . For all models, temperature, nutrients, and scarring were assessed as fixed effects and factorial interaction terms and tank and colony as separate random effects.…”
Section: Methodsmentioning
confidence: 99%
“…Proportion data were logit-transformed, following Warton and Hui (2001) and Shi et al (2013). All the data points collected from the last 30 min of each experiment were used.…”
Section: Discussionmentioning
confidence: 99%
“…To test for an effect of runway type (vertical or horizontal) on pheromone deposition, the following model formula was used: To test whether ants were more likely to choose the low- or high-effort associated cues on the maze experiment, we analyzed ant decision data using an exact binomial test. To test whether ants spent more time in the olfactometer fields offering low- or high-effort associated cues, we analyzed the logit-transformed (Shi, Sand Hu, & Xiao, 2013; Warton & Hui, 2011) proportion of time ants spent in each field using the following formula, with a Gaussian error structure: …”
Section: Methodsmentioning
confidence: 99%