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The inbreeding depression was expressed as a partial linear regression coefficient estimated via a single trait animal model including fixed and random effects.
aMixed effect model including fixed effects of time, skin toxicity, baseline EQ-5D score, and the interaction between time and skin toxicity (ST).
For the field data, consisting of gestation length and birth weight records on 7,883 Italian Piemontese cattle, a sire-maternal grandsire model including fixed effects of sex-age of dam and uncorrelated random herd-year-season effects were fitted using a hierarchical Bayesian approach.
A GWAS was conducted using a statistical model including fixed effect corrections for; test-station, age at entering the test, number of days in test, number of litter mates born alive, and the random effects; a polygenic effect and an additive SNP effect.
A random effect model including fixed effects of 'group', 'assessment time' and their interaction and a random effect of 'participant' was used to analyse within-group changes from baseline to week 9. Analysis of covariance was used for between-group comparison of 'baseline-to-week 9 changes' while adjusting for age and baseline-values.
The significance of the fixed effects on dependent variables, such as mating tactic or sperm storage site, was assessed with the likelihood ratio test, using the log-likelihood of the test model (including fixed effect) and the null model (without fixed effect).
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This model is as follows: (7) C C m = Č A + Č R + Č E + Č T + C ˙ V + C ˙ H + C ˙ R + C ˙ D The model includes fixed costs of project meetings, administering, and planning (ČA), and the fixed cost of training data collectors to use measurement method m (ČT).
The best fit model included fixed effects for average coefficient of relatedness per matriline and matriline size.
The best fit model included fixed effects for the number of communities per matrilineal groom network, number of nodes per matrilineal groom network, adult matriline size, and presence of the matriarch (compared to the second best fit model, ΔAIC = 5.09).
The best fit model included fixed effects for matriline rank and average coefficient of relatedness per matriline (compared to the second and third best fit models, ΔAIC = 0.50 and ΔAIC = 2.61, respectively).
Each linear model included fixed effects for replications and time points.
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