The outcome is regressed in a special way on a linear additive function of the fitted values from each tree combined with an additive disturbance term[27].
The variance was modeled as a power function of the fitted values with an estimated parameter value of - 4.480 in the full model.
The weight function derived in the last section is expressed as a function of the fitted value for the case-control indicator variable, μ, and the first derivative of the link function in the case-control study,.
The variance was modeled as an exponential function of the fitted values with an estimated parameter value of - 1.853 in the full model with common parameters across experimental groups (Model 1).
ILDs at which the 90 and 10% of the maximum response occurred were found using the inverse function of the fitted functions, i.e. eqns 1 and 2. Width for non-monotonic functions was taken as the width of the ILD function at the response strength that was half the maximum response, i.e. full width at half maximum (FWHM).
The effect of female weight was added as a covariate, female identity was added as a random effect in all models (estimated as 0.323 standard deviation in the full model), and the variance was modeled as a power function of the fitted vales with an estimated parameter value of 1.260 in the full model.
For each ROI, we fitted the individual responses measured at different frame rates (1, 5, 12.5, and 25 Hz) with a Gaussian function and then determined the peak of the fitted function.
However, the results of the fitted functions indicate that the dimensionless form of Richard Abbott function provides more accuracy than Kishi Chen function.
The optimization process involves evaluating the response of the statistically designed combinations, estimating the coefficients by fitting the experimental data to the response function, predicting the response of the fitted model, and checking the adequacy of the model.
Fits of k2, max as a function of sucrose concentration in Figure 3C were obtained by transformation of the fitted function in Figure 3D, using Equation (5).
