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The model will account for correlation over time within participants, correlations within surgeons, and baseline covariates.
The model will account for correlation over time within participants, correlation within clinics and potential confounders (e.g. important prognostic factors).
We summarized ambient pollutant concentrations and examined associations between ambient particles and gases using models that accounted for correlation over time (PROC MIXED in SAS using an exponential covariance structure, whereby the covariance among two observations taken at times t j and t k is σρ{| t j−t k |}).
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This model had a fixed, categorical effect of period and a random patient effect to account for correlations over time.
The primary outcome will be analysed using a linear mixed model (multilevel) to account for the nesting of clients within professionals and for the correlation over time of repeated measurements within subjects.
Substituting this into the AR(1) process assumed for the correlation over generations, we get y si = β s 0 − ρ β f 0 + ρ y fi + β s 1 a g e i + β s 2 a g e i 2 − ρ β f 1 a g e i − ρ β f 2 a g e i 2 + ϵ i + u is − ρ u if.
A residual temporal correlation structure was employed to determine if the random effects adequately accounted for the correlation over time.
We used the best fitting, by the Akaike's information criterion, heterogeneous toeplace covariance structure to account for within participant correlation over time for all outcome analyses.
Bio-psychosocial-spiritual measures will be analyzed in a similar manner with descriptive statistics and longitudinal regression models, and we will incorporate random effects to allow for correlation within respondents over time and between respondents within families.
For longitudinal analyses over the first week, we used regression analysis with mixed models to account for correlation of these markers over time.
Both PCR/ESI-MS emm groups and directly sequenced emm types were independently analyzed for correlation with AbR measures over the course of study.
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