## Math-M466 Introduction to Mathematical Statistics

Section: 8731
Class Day and Times: MWF 9:05 - 9:55
Class Location: SW 220
Text: Mathematical Statistic and Data Analysis by John Rice
WEB Page: http://elizabethhousworth.com/Spring2009/Math466
Instructor: Elizabeth Housworth
Office and Office Hours: 371 Rawles Hall, 3:30-5 Tuedays, 2-4 Sundays, and by appointment
Important dates: Last day for automatic withdrawals: Wednesday, March 11. Final Exam: 10:15-12:15 on Monday, May 4.

Points
Homeworks  100
Attendance and Participation    50
Exam 1  100
Exam 2  100
Final Exam  150
--------------------------------
Total  500
Cheating Policy: You may work together on the homeworks. Exams are individual work only and if I have determined that you have cheated, I will give you an F in the course and file the appropriate reports with the dean.

Religious Holiday Policy: If you will miss class, especially a class during which there will be an exam or other required work, for a religious holiday, you must inform me during the first two weeks of the semester.

Tentative Syllabus
Date Topics Work Due
Monday, January 12 7.2: Introduction, parameters, statistics --
Wednesday, January 14 7.3: Simple random sampling --
Friday, January 16 7.3: Simple random sampling --
Monday, January 19 Martin Luther King, Jr. Holiday --
Wednesday, January 21 7.3-7.4: Simple random sampling and ratios: Excel file with the Donato seedling data from class Chapter 7: 1, 2, 7, 16, 24
Friday, January 23 7.4: Ratios --
Monday, January 26 7.5: Stratified sampling --
Wednesday, January 28 7.5: Stratified sampling Chapter 7: 28, 29, 35, 36, 37
Friday, January 30 7.5: Stratified sampling --
Monday, February 2 8.2-8.3: Poisson distributions and goodness of fit tests --
Wednesday, February 4 8.4: Method of moments Chapter 7: 39, 49, 53, 56, 57
Friday, February 6 Review --
Monday, February 9 Exam 1 --
Wednesday, February 11 8.5: Maximum likelihood --
Friday, February 13 8.5: Maximum likelihood --
Monday, February 16 8.5: Maximum likelihood --
Wednesday, February 18 8.5: Maximum likelihood Chapter 8: 3, 4(a,b), 7(a), 50(a), 53(a)
Friday, February 20 8.6: Bayesian methods --
Monday, February 23 8.7: Sufficiency --
Wednesday, February 25 8.8: Efficiency Chapter 8: 4(c,d), 7(b,c), 30, 50(b,c), 53(b,c,d)
Friday, February 27 Review/catch-up day --
Monday, March 2 9.1-9.2: Hypothesis testing paradigm --
Wednesday, March 4 9.3: Hypthesis testing versus confidence intervals Chapter 8: 4(e), 7(d), 16, 21, 68
Friday, March 6 9.4: Likelihood ratio tests --
Monday, March 9 9.5: Testing multinomial probabilities --
Wednesday, March 11 9.6: Poisson dispersion tests --
Friday, March 13 9.7-9.9: Assessing distributions --
Spring Break: March 14-22
Monday, March 23 Chapter 10: Graphical displays --
Wednesday, March 25 Chapter 10: Summarizing data Chapter 9: 1, 4a+b, 5, 6, 7
Friday, March 27 Review --
Monday, March 30 Exam 2 --
Wednesday, April 1 11.2: Comparing two samples Chapter 9: 41, 42, 43, 49 a+b and Chapter 10: 45
Friday, April 3 11.2: Comparing two samples --
Monday, April 6 11.2: Comparing two samples --
Wednesday, April 8 11.3: Comparing paired samples --
Friday, April 10 11.3: Comparing paired samples --
Monday, April 13 11.4: Experimental Design Chapter 11: 10, 19, 21 (a,b,c), 24, 35
Wednesday, April 15 12.2: ANOVA --
Friday, April 17 12.3: ANOVA --
Monday, April 20 12.3: ANOVA Chapter 11: 36, 39, 52 Chapter 12: 6, 10
Wednesday, April 22 13.1-13.3: Categorical data --
Friday, April 24 13.4-13.5: Categorical data --
Monday, April 27 13.6: Categorical data Chapter 12: 13, 28 Chapter 13: 3, 18, 19
Wednesday, April 29 Review --
Friday, May 1 Review --
Final - Monday, May 4, 10:15am - 12:15pm