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Fig. 5 Transformation of regression domain.
The Poisson link in these GEE models provided risk ratios for the incidence of death, and permitted computation of excess mortality attributable to HIV-1 via transformation of regression coefficients.
Mean number of days to ART initiation was compared between groups and by cohort year using linear regression with back-transformation of regression coefficients to obtain geometric mean ratios (GMRs).
In logistic regression or a Cox proportional hazards model, the exponential transformation of the regression coefficient of this product term (βA×B) quantifies interaction on a multiplicative scale (INTM).
Although age, BMI, sex, and pregnancy status were not statistically significant predictors of urinary BPA concentrations, we found weak associations after reverse transformation of the regression coefficients.
Associations were further reported as odds ratios (OR) with 95% confidence intervals (CI) obtained by back transformation of the regression coefficients.
The R0 and A and their confidence intervals were estimated using the nlcom command for non-linear transformations of the regression parameters.
This transformation made the distribution of regression residuals normal (the null hypothesis of residuals being normal with a Skewness/Kurtosis test was accepted with p = 0.204) and therefore allowed a reliable interpretation of results.
Assignment of points to risk factors was based on a linear transformation of the corresponding β regression coefficient.
Given the development of a suitable regression-based transformation, TTU regression permits conversion of outcomes commonly used in clinical trials into the common metric of QALYs.
In contrast to logistic regression, quantile regression requires no transformation of the outcome to a binary variable and assesses shifts of specific parts of the continuous outcome distribution instead of probabilities for falling into one outcome category or the other.
