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The mean coefficients and the corresponding standard deviations are obtained with the three trials.
The procedure is similar to an iteratively reweighted least squares (IRLS) approach in that the weights depend on the residuals, the residuals on the estimated arithmetic mean coefficients, and finally the estimated coefficients upon the weights.
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We calculated the percentage of samples from the MCMC sample in which a parameter value (e.g., a regression coefficient) was in the predicted direction and report those percentages, along with the mean coefficient and 95% credible intervals for λ.
Variable importance is defined as the product of absolute mean coefficient and variable standard deviation.
As all coefficients of attribute levels are assumed to be normally distributed, the mixed logit estimates relating to the mean coefficient and s.d. for each attribute level were applied to calculate the distribution of preference heterogeneity.
Effects on ΔVTCO2 were calculated by using mean coefficients a and b for all subjects (Eq. 1) and coefficients for subject 4 who had a high coefficient b.
In this sense, this two land types are considered as one type in this study, assigning with the mean coefficients of wetland and water.
Overall mean correlation coefficients and overall mean regression slopes (regression coefficients; βs) were calculated by averaging the participant-specific sample means, and were tested for significant deviation from zero using the Wilcoxon signed rank-test (PROC UNIVARIATE).
Weir angle specific discharge models (coefficient of determination R2⩾0⋅986) were developed based on two approaches; the first based on the product of geometric constant and the mean coefficient of discharge, and the second on a non-linear regression model constant.
Secondly, to calculate the solution chemical potential more easily, average mean activity coefficient and average osmotic coefficient were used.
The above interaction coefficients are tested against both experimental mean activity coefficients and equilibrium quotients.
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