Random-effect slopes

In the previous exercise, you estimated random-effect intercepts for each state. This allowed you to account for each state having its own intercept. During this exercise, you will estimate a random-effect slope for each state. For example, perhaps the log\(_{10}\)(total population of each county), LogTotalPop, changes the birth rate of a county AND varies by state.

Recall from the video, a random-effect slope may be estimated for each group using (slope | group) syntax with lmer().

During this exercise, fit a mixed-effects model estimating the effect of the mother's average age while accounting for state and total population as random-effects.

How do the outputs from this model compare to the previous model you built?

This exercise is part of the course

Hierarchical and Mixed Effects Models in R

View Course

Hands-on interactive exercise

Have a go at this exercise by completing this sample code.

# Include the AverageAgeofMother as fixed-effect and State as a random-effect
model_a <- lmer(BirthRate ~ ___ + (___), county_births_data)
tidy(___)

# Include the AverageAgeofMother as fixed-effect and LogTotalPop and State as random-effects
model_b <- lmer(BirthRate ~ ___ + (___), county_births_data)
tidy(___)