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Then (3.17) is the unique extension of x ̄ to k = N + 2, given the coefficient matrix SN + 1 in (3.16).
Given the coefficient b of y in the fitted model, the odds ratio (OR) for MSD and A is estimated as eb.
Experimental error was low in each trial, given the coefficient of variation (CV) values of 5.77% in the MD experiment and 5.99% in the NE experiment, with an overall CV of 5.67% in the 2-location analysis.
With this number of replications, regression coefficients for six of the eight prognostic covariates could be estimated with at least 5% accuracy [ 17], given the coefficient values and associated standard errors (SEs) from fitting a Cox proportional hazards model including all eight covariates to the whole colorectal dataset.
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In the Appendix, we give the coefficient expressions of amplitude equations emerged in Section 4.
Tables 2 and 3 give the coefficient f ″ ( 0 ) for different parameter values.
The difference between the distribution of the rural HAZ scores and the counterfactual distribution gives the covariate effect and the difference between the counterfactual distribution and the distribution of urban HAZ scores gives the coefficient effect.
Table 3 gives the coefficients and variances for the first four PCs using the correlation matrix for the above-mentioned data sets.
Table 3 gives the coefficients and exponents of velocity and depth calculated for the entire river reach along with the reach's name, number, and length.
Table 1 gives the coefficients of the variables of the regression models.
Then, the eigenvectors with leading eigenvalues give the coefficients of linear combinations being sought.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com