# Simple univariate animal model

Fitting a simple univariate model in R.

is the simplest of all animal models and assumes no repeated measures across years or individuals.

# Example data

For this tutorial we will use the simulated gryphon dataset (download zip file).

# The univariate animal model

Definitions

Sample code in the following examples includes the following variables:

• Response variable: Size
• Fixed effects: Intercept ($$\mu$$)
• Random effects: Additive genetic variance
• Data containing phenotypic information: phenotypicdata
• Data containing pedigree data:pedigreedata

We first fit the simplest possible animal model: no fixed effects apart from the interecept, a single random effect (the breeding values, associated with the additive genetic variance), and Gaussian redisuals.

##### Adding fixed effects

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##### Calculating heritability

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##### Testing random effects

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##### Testing random effects

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