# Dale L. Zimmerman

## Research Interests:

Spatial statistics, linear models, experimental design, multivariate analysis, environmetrics, sports statistics

## Reading assignments for STAT:3510:0BBB Biostatistics, Spring 2024, from Samuels et al.'s textbook:

January 17: Sections 1.1 and 1.3
January 19: Sections 2.1 and 2.2
January 22: Sections 2.3 and 2.6
January 24: Sections 2.4 and 2.7
January 26: Sections 2.8 and 2.9
Jamuary 29: Sections 3.1 and 3.2
January 31: Section 3.3
February 2: Section 3.5
February 5: Section 3.6
February 7: Sections 3.4 and 4.1
February 9: Section 4.2
February 12: Section 4.3
February 14: Sections 5.1 and 5.2
February 16: Sections 5.3 and 5.4
February 19: Catch-up
February 21: First Midterm Exam
February 23: Sections 6.1-6.3
February 26: Section 6.4
February 28: Section 6.6-6.7
March 1: Section 7.2
March 4: Section 7.3
March 6: Sections 7.5-7.6
March 8: Section 7.10
March 18: Sections 8.1-8.2
March 20: Sections 8.3-8.4
March 22: Section 8.5
March 25: Sections 11.1-11.2
March 27: Sections 11.3-11.4
March 29: Section 11.5
April 1: Catch-up
April 3: Second Midterm Exam
April 5: Sections 9.1-9.2
April 8: Section 10.7
April 10: Section 9.4
April 12: No class
April 15: Sections 2.5, 10.1-10.2
April 17: Sections 10.3, 10.5
April 19: Section 10.8
April 22: Section 10.9
April 24: Sections 12.1-12.2
May 1: Section 4.4

## Homework assignments for STAT:3510:0BBB Biostatistics, Spring 2024, from Samuels et al.'s textbook:

Homework 1: Exercises 1.3.1bce, 1.3.2bc, 2.1.4, 2.2.4, 2.2.5, 2.3.3, 2.3.6, 2.3.7, 2.4.3 (also compute the range and IQR for part b), 2.4.5, 2.7.4; Due Friday, January 26
Homework 2: Exercises 2.7.2(a), 2.S.20, 2.S.22, 3.2.2, 3.2.3, 3.3.3, 3.3.4; Due Friday, February 2
Homework 3: Exercises 3.4.2, 3.4.4 (also add part (d) Find the probability that the length is less than 25 given that the length is between 15 and 30), 3.5.1, 3.5.7, 3.5.8 (also add a part (b), Calculate the variance of the random variable Y from Exercise 3.5.7), 3.6.1, 3.6.4, 3.6.7; Due Friday, February 9
Homework 4: Exercises 4.3.9, 4.3.11, 4.3.14, 4.3.15, 4.3.16, 5.2.5, 5.2.8, 5.2.9; Due Friday, February 16
Homework 5: Exercises 6.2.2, 6.3.4, 6.3.6, 6.3.7, 6.4.1, 6.4.5, 6.6.9, 6.7.7, 6.7.11; Due Friday, March 1
Homework 6: Exercises 7.2.5, 7.2.9, 7.2.12, 7.2.13, 7.3.10, 7.5.5, 7.5.8; Due Friday, March 8
Homework 7: Exercises 7.6.7, 7.10.4, 7.10.7, 8.2.2, 8.2.7, 8.2.9, 8.4.5, 8.4.9; Due Friday, March 22
Homework 8: Do the 5 exercises on the handout that was emailed to you; Due Friday, March 29
Homework 9: Exercises 9.2.4, 9.2.8, 9.4.3, 9.4.5, 9.4.11, 10.7.2, 10.7.6; Due Monday, April 15
Homework 10: Exercises 10.2.7, 10.2.11, 10.3.2, 10.3.10, 10.5.2, 10.5.7, 10.8.3; Due Wednesday, April 24
Homework 11: Exercises 10.9.4, 10.9.6, 12.2.9a, 4.4.1, 4.4.4, 4.4.7, and do the following for the data given in Exercise 12.3.8: (a) Create a scatterplot of Y versus X, (b) Obtain a 95% confidence interval for rho (the population correlation coefficient between X and Y), (c) Obtain the least squares estimate of the intercept using the fact that the least squares estimate of the slope is 0.3492, (d) plot the least squares line on your scatterplot, (e) predict the maximum jump when the length of the bullfrog is 155 mm, (f) perform a hypothesis test that the slope is equal to 0 (take alpha to be 0.05 and use a two-sided alternative hypothesis) using the fact that the estimated slope's standard error is 0.3965, (g) obtain a 95% confidence interval for the predicted maximum jump of a frog whose length is 155 mm using the fact that the predicted value's standard error is 18.96. Due Friday, May 3

## Reading assignments for STAT:3101 Intro to Mathematical Statistics II, Spring 2024, from Hogg, Tanis, and Zimmerman:

January 17: Section 5.8
January 19: Section 6.1
January 22: Section 6.2
January 24 and 26: Section 6.3
January 29 and 31, and February 2: Section 6.4
February 5: Section 6.6
February 7 and 9: Section 6.7
February 12 and 14: Section 6.5
February 16 and 19: Section 7.1
February 23, 26, and 28: Section 7.2
March 1: Section 7.3
March 4: Section 7.4
March 6: Section 7.5
March 8 and 18: Section 7.6
March 20: Section 8.1
March 22: Section 8.2
March 25: Sections 8.2 and 8.3
March 27: Section 8.3
March 29: Section 8.4
April 1: Section 8.5
April 5: Section 8.5
April 8: Section 8.6
April 10: Sections 8.6 and 8.7
April 12: No class
April 15: Section 8.7 (but don't bother reading the proof of Theorem 8.7-1)
April 17: Sections 8.7 and 8.8
April 19: Section 8.8
April 22: Sections 8.8 and 9.1
April 24: Section 9.1
April 26: Section 9.2
April 29: Section 9.3
May 1: Section 9.3

## Homework assignments for STAT:3101 Intro to Mathematical Statistics II, Spring 2024, from Hogg, Tanis, and Zimmerman:

Homework 1: Exercises 5.8-2, 5.8-4, 5.8-6, 6.1-2 (also compute the sample median, sample range, and sample interquartile range), 6.1-6, 6.1-11, 6.2-4 (also display the stem-and-leaf plot); Due Friday, January 26
Homework 2: Exercises 6.3-2, 6.3-4, 6.3-14, 6.4-2, 6.4-3(a), 6.4-9(a)(b), 6.4-11, and the following supplemental problem: If we take a random sample of size 3 from the distribution with pdf f(x)=2(1-x), for x in the unit interval, find (a) the probability that maximum is greater than 1/2, (b) the expectation of the minimum and (c) the expectation of the median. Due Friday, February 2
Homework 3: Exercises 6.4-8, 6.4-10, 6.4-12, 6.4-20. 6.6-2, 6.6-4; Due Friday, February 9
Homework 4: Exercises 6.7.2, 6.7.4, 6.7.6, 6.7.10, 6.5.1, 6.5.2, 6.5.4; Due Friday, February 16
Homework 5: Exercises 7.1.2, 7.1.10, 7.1.14, 7.1.16, 7.2.2, 7.2.10, 7.2.12; Due Friday, March 1
Homework 6: Exercises 7.3-2, 7.3-6, 7.3-10, 7.4-4, 7.4-10, 7.4-14, 7.5-4(a), 7.5-10(a); Due Friday, March 8
Homework 7: Do the two exercises on the sheet handed out in class (and emailed) on Monday, March 18; Due Friday, March 22
Homework 8: Do the 8 exercises on the sheet handed out in class (and emailed) on Friday, March 22; Due Friday, March 29
Homework 9: Do the 7 exercises on the sheet handed out in class (and emailed) on Friday, April 5; Due Monday, April 15
Homework 10: Do the 6 exercises on the sheet handed out in class (and emailed) on Monday, April 15; Due Wednesday, April 24
Homework 11: Do the 7 exercises on the sheet handed out in class (and emailed) on Wednesday, April 24; Due Friday, May 3

## Errata for Linear Model Theory: With Examples and Exercises, by Dale L. Zimmerman (2020), Springer.

Link to the pdf listing the errata

## Errata for Probability and Statistical Inference, by R. V. Hogg, E. A. Tanis, and D. L. Zimmerman, 10th edition (2020): Pearson

1. Exercise 2.4-11: It should say "... and verify that it is positive if p < 0.5, zero if p = 0.5, and negative if p > 0.5."
2. Exercise 5.2-12: The known solution to this exercise requires some background in complex analysis, which is otherwise not a prerequisite for the book, so this exercise, though correct, really should not be included in the book. It will be removed in future editions.
3. Page 199: A better title for Section 5.5 would be "Distributions Associated with Sampling from Normal Distributions"
4. Page 273: In the pdf displayed four lines from the bottom, the entire denominator should be multiplied by pi.
5. Page 274: Wherever theta appears in Example 6.4-10, replace it with beta.
6. Exercise 6.4-21: The upper limit of support for x should be plus infinity, not theta.
7. Exercise 7.6-10: Symbols a, b, and c should be beta1-hat, beta2-hat, and beta3-hat, respectively.
8. Exercise 7.6-11: This exercise is correct, but out of place. Part (a) asks for the (sample) correlation coefficient, which is not defined until Section 9.6.
9. Exercise 7.7-6: This exercise is also correct but out of place as it involves calculation of the sample correlation coefficient, which is not defined until Section 9.6.

## STAT:6530 Spatial and Environmental StatisticsSTAT:7290 Sports Statistics R functions for antedependence models (under construction) Data for antedependence models

Dept. of Statistics and Actuarial Science