File:08-random-intercepts-shared-intercept.png

Figure file · Random intercepts

A random intercept. Each block’s line is the population line \beta_0+\beta_1x (dashed) shifted by its own \alpha_j, so the lines are parallel. Observations in one block share that shift, which is the source of the within-block correlation \sigma_A^2/(\sigma_A^2+\sigma^2).

A random intercept. Each block’s line is the population line \beta_0+\beta_1x (dashed) shifted by its own \alpha_j, so the lines are parallel. Observations in one block share that shift, which is the source of the within-block correlation \sigma_A^2/(\sigma_A^2+\sigma^2).

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Summary

Description. A random intercept. Each block’s line is the population line \beta_0+\beta_1x (dashed) shifted by its own \alpha_j, so the lines are parallel. Observations in one block share that shift, which is the source of the within-block correlation \sigma_A^2/(\sigma_A^2+\sigma^2).

Appears in. Random intercepts

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