Motivated by regression analysis for microbiome compositional data, this article considers generalized linear regression analysis with compositional covariates, where a group of linear constraints on ...

Edmilson Rodrigues Pinto, Leandro Alves Pereira, On variable selection in joint modeling of mean and dispersion, Brazilian Journal of Probability and Statistics, Vol. 35, No. 4 (2021), pp. 875-894 ...

Multiple regression and regression diagnostics. Generalised linear models; the exponential family, the linear predictor, link functions, analysis of deviance, parameter estimation, deviance residuals.

GLMs unify other statistical models, including gamma regression models appropriate for right skewed responses; logistic regression appropriate for categorical responses; and log-linear models ...

Compared to standard linear regression, which predicts a single numeric value based only on a linear combination of predictor values, linear regression with interactions can handle more complex data ...