Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 218 / 4 / a

Table of contents
- Solution a

Solution

For student

i

j

, "lme1" is the random-intercept linear mixed model

THK_{ij} = β_{0} + β_{1} PTHK_{ij} + β_{2} TV_{j} + β_{3} SC_{j} + b_{j} + ε_{ij},

where

b_{j} \sim iid N (0, τ^{2}), ε_{ij} \sim iid N (0, σ^{2}),

independently. The estimates are

(β_{0}, β_{1}, β_{2}, β_{3}) = (1.78880, 0.30973, 0.02175, 0.47023),

τ^{2} = 0.0437, σ^{2} = 1.6531.

The fixed intercept is the population-average expected post-study score for an untreated reference student with PTHK zero. The random intercept

b_{j}

j

's deviation from that population intercept.

 Ancestors (10)

 View article source

 Discussion (0)

There are no discussions about this article yet.

 Articles by others on the same topic (0)

There are currently no matching articles.

  See all articles in the same topic Create my own version