# Exercises for STK 3100/4100 autumn 2018

Below are given exercises for the coming week(s) and an overview of exercises that have been given earlier. The week numbers and dates given below is when the exercise class is given. The students should make a real effort to work on the exercises in the week before  the exercise class.

### Exercises to coming week(s)

Week 47 (November 22nd), which is the last exercise class

Exercises from the text book: 9.1, 9.22, 9.24, 9.29, and 9.39.  (Before you do exercise 9.1, you should read section 9.1.1 in the text book. In exercise 9.39a, quasi-likelihood with beta-binomial variance function is mentioned. We did not consider this method at the lectures, but you may still compare with the result reported in the problem.)

Exam 2016: problem 3.

### Exercises to earlier weeks

Week 46 (November 15th):

Exercises from the text book: 9.7, 9.8, 9.10, 9.11, and 9.12.

Week 45 (November 8th):

Exercises from the text book: 7.30, 7.31, 8.6, 8.8, 8.9, 8.14, and 8.17. (Before you do exercises 8.8 and 8.9, you should read section 8.3.3 in the text book.)

Week 44 (November 1st):

Exercises from the text book: 6.15, 6.20, 7.2, and 7.3

Exam 2016: problem 2.

Week 43 (October 25th):

Exercises from the text book: 5.24, 5.25, 5.26, 6.3 and 6.4.

Week 42 (October 18th):

Exercises from the text book: 4.20, 4.26, and 4.27.

Week 41 (October 11th):

Exercises from the text book: 4.13, 4.14, 4.16, 4.19, 5.13, 5.14, and 5.15.

Week 40 (October 3rd):

Exercises from the text book: 5.10, 5.11, 5.16, and 5.17

Week 39 (September 27th):

Exercises from the text book: 4.4, 4.6, 4.9, 5.4, and 5.6.

Week 38 (September 20th):

Week 37 (September 13th):

Exercises from the text book: 2.22, 2.23, 3.2, 3.4, 3.5, and 3.7. [In 3.2 you should also consider the situation where t has a noncentral t-distribution; in 3.7 you should use R to do the computations (cf. page 92 in the book).]

Additional exercises 2 and 3

Week 36 (September 6th):

Exercises from the text book: 2.11, 2.12, 1.17, 2.13, 2.14, 2.15, and 2.16. (In 2.12 you may use the result on page 35 on the relation between the trace and the rank of a projection matrix; in 2.13 you may assume that X has full rank; in 2.15 you may use the result on page 36 on nested models.)

Week 35 (August 30th):

Exercises from the text book: 1.7, 1.8, 1.11, 1.12a (question b is based on section 1.4.2 which was not covered in the lectures of week 34), 1.13, 1.21, and 1.24.