2016
DOI: 10.32614/rj-2016-024
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statmod: Probability Calculations for the Inverse Gaussian Distribution

Abstract: The inverse Gaussian distribution (IGD) is a well known and often used probability distribution for which fully reliable numerical algorithms have not been available. Our aim in this article is to develop software for this distribution for the R programming environment. We develop fast, reliable basic probability functions (dinvgauss, pinvgauss, qinvgauss and rinvgauss) that work for all possible parameter values and which achieve close to full machine accuracy. The most challenging task is to compute quantile… Show more

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Cited by 106 publications
(72 citation statements)
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“…Subsequently, we estimated the mean-variance relationship and calculated weights for each observation. To account for the correlation between technical replicates of the same clone when performing the differential analysis, we fit a mixed linear model, using the function "duplicateCorrelation" from the statmod R package (45) to block on clone. The differential analysis was then performed using the limma R package.…”
Section: Methodsmentioning
confidence: 99%
“…Subsequently, we estimated the mean-variance relationship and calculated weights for each observation. To account for the correlation between technical replicates of the same clone when performing the differential analysis, we fit a mixed linear model, using the function "duplicateCorrelation" from the statmod R package (45) to block on clone. The differential analysis was then performed using the limma R package.…”
Section: Methodsmentioning
confidence: 99%
“…The significance of each explanatory term was tested using a Wald test (Luke, 2017) and looking at confidence intervals on the estimates. Homoscedasticity, independence and normality of residues were checked for each model (package statmod; Giner & Smyth, 2016). The absence of spatial autocorrelation in the residuals of the final models has been assessed based on Moran's I values and associated P values for each model using the ncf package (Bjornstad, 2018).…”
Section: Analysis Of Geographical and Climatic Rangesmentioning
confidence: 99%
“…In our models we also consider more standard interactions between log(p), log(GDP) and S(T ) > 0. To assess if model assumptions were adequately met we computed and plotted the randomized quantile residuals (RQRs), implemented in the statmod package (Giner and Smyth, 2016). RQRs are based on the idea of inverting the estimated distribution function for each observation to obtain standard normal residuals if model assumptions are met and the model fits adequately.…”
Section: Model Validationmentioning
confidence: 99%