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We then used a random coefficient model to take into account repeated measures of the outcome (days between tests).
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The effects of the remaining two within-tree directions (longitudinal and radial) were investigated using a random coefficient model similar to Model (1).
To assess the effect of human exposure on California sea lion population parameters, we linearly regressed each response variable (i.e., log-transformed average and maximum reproductive rates, pup growth rate, and pup body condition) on frequency of human exposure using a random coefficient model [59] [60].
The regression coefficient (calculated using a random coefficient model) was 0.98 (P = 0.0001).
We also tested whether to use a random coefficient or random intercept model.
Risk adjustment was achieved using a random coefficient (intercept as ICU site and slope as APACHE III score) logistic regression model, generating an expected mortality series.
Dose response was summarized using a random coefficient regression model, including intercept, slope, and adjustment for nonlinearity (square of infusion rate).
Overall association between microdialysis and arterial blood gas lactate concentrations was estimated using a regression coefficient, which was calculated using a random coefficient mixed model in SAS version 9.3 statistical software (SAS Institute, Cary, NC, USA).
The comparison of annual decline rates in FEV1, FVC and FEV1/FVC between groups will be analysed using a random coefficient regression model based on the presumption that efficacy changes linearly with time.
Risk adjustment was undertaken, generating the "expected" series, using a random coefficient logistic model (intercept as ICU site and "slope" as (centred) APACHE III score; unstructured covariance using adaptive quadrature, estimated via the Stata™ module "xtmelogit" [ 24]), as previously described in detail [ 20], and extended to both ventilated and non-ventilated patients.
We used a random-coefficients model, which allows for variation in the estimates of coefficients of the household level effects.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com