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.

Grading Procedure and class policies: Homework is due in class on the dates indicated on the syllabus below. If you know you will have to miss class, you may turn in your homework early. Late homework will not generally be accepted. In cases of dire illness or other emergencies, short delays in turning in the assignment may be allowed but proof of illness or emergency may be required as well.

There is a participation component to the course grade to encourage attendance. Course grades are determined solely on the basis of your total points for the course. Any curve announced for any exam is only relevant to your course grade in the following manner: it is expected that if you got B's on all exams, have excellent attendance (50 points), and good homework grades (90%), then you will receive at least a B in the course. A similar analogy holds with A's and C's replacing the B's. Attendance and homework serve to bolster the course grade as a substitute to "curves" on the individual exams. The cut-off for the course grades will be no harsher than 90% (or 450/500) as A-, 80% (or 400/500) as B-, 70% (or 350/500) as C-, and 65% (or 325/500) as D (I do not give D+'s or D-'s).

 
                           
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