takes data with two fixed effects and one random effect. makes a mixed effects model in r

To make a mixed effects model in R with two fixed effects and one random effect, we can use either the lme4 or nlme package.

Assuming we have a data frame with the response variable y, and two fixed effects x1 and x2, and one random effect group, the model formula for lme4 would be:

main.r
library(lme4)
model_lme4 <- lmer(y ~ x1 + x2 + (1|group), data = your_data)
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Here, (1|group) specifies a random intercept for each level of group.

For nlme, we can use:

main.r
library(nlme)
model_nlme <- lme(y ~ x1 + x2, random = ~1|group, data = your_data)
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Here, random = ~1|group specifies a random intercept for each level of group.

Once we have fit our model, we can use various methods to summarize and visualize our results:

main.r
# Summary of coefficients
summary(model_lme4)

# ANOVA table
anova(model_lme4)

# Predictions from the model
new_data <- data.frame(x1 = ... , x2 = ..., group = ...)
predict(model_lme4, new_data)

# Visualize the random effect
library(ggplot2)
ggplot(your_data, aes(x = group, y = ranef(model_lme4)$group)) +
  geom_point() +
  geom_hline(yintercept = 0)
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