Spring 2009

STAT 7030 – Mathematical Statistics II

Instructor	Dr. Anda Gadidov
Office	Science Building Room 529
Phone	(770)423-6098, e-mail: agadidov@kennesaw.edu All emails should originate from the students’ netid.student.kennesaw.edu account or from their WebCT account. Our e-mail system allows for email filtering software that blocks certain domains, one of which could be your commercial email provider.  For more information on setup and use of your email account, go to https://students.kennesaw.edu/email.
Office hours	MW 11:00am- 12:30pm; T 4:00pm-6:30pm. Other times by appointment
Class meets	T 6:30pm-9:15pm in CL1007
Text	An Introduction to Mathematical Statistics and its Applications, fourth ed., by Richard J. Larsen and Morris L. Marx,  Pearson Education, Prentice Hall, Upper Saddle River, ISBN: 0 – 13 – 186793-8.
Prerequisites	STAT 7010 with grade if C or better
Description	Review of hypothesis testing, two-sample problems, goodness-of-fit tests, regression, analysis of variance and introduction to nonparametric tests. Software such as Maple 12, Minitab or SAS will be used.
Learning  outcomes	1. Students will be able to construct confidence intervals for the parameters of various distributions and interpret the results. 2. Students will be able to compare the performance of various estimators using properties such as unbiasedness, efficiency and minimum variance. 3. Students will understand the concept of statistical hypothesis testing and will be able to use it accordingly in applications. 4. Students will be able to apply statistical methods in solving two-sample problems. 5. Students will be able to use the goodness-of-fit methods in assessing the underlying distribution of a given data set. 6. Students will be able to use the goodness-of-fit methods in assessing independence of two variables under analysis. 7. Students will be able to apply linear regression to determine whether there is a relationship among various components of a complex system of variables. 8. Students will be able to use the analysis of variance in problems involving more than two samples. 9. Students will be able to perform statistical analysis using a software of choice: SAS, Minitab or Microsoft Excel. 10. Students will be able to read, discuss and present professional articles reporting statistical results.
Topic outline	1. Estimation: Review of MLE and MOM estimators; Properties of estimators (Chapter 5) Minimum variance estimators. Sufficiency, Consistency; Bayesian estimation. 2. Hypothesis testing (Chapter 6): p-values; type I and type II errors; tests for one proportion. The generalized likelihood ratio test. 3. Distributions derived from the normal distribution (Chapter 7). Inferences about the mean and variance. 4. Two-Sample Problems: testing the equality of two means, two-variances or two proportions. Confidence intervals for two-sample problems. (Chapter 9) 5. Goodness-of-Fit Tests: the multinomial distribution, goodness-of-fit tests, contingency tables. (Chapter 10) 6. Regression: the method of least squares, the linear model, covariance and correlation, the bivariate normal distribution. 7. The Analysis of Variance: the F test, multiple comparisons: Tuckey’s method, testing subhypotheses with contrasts. 8. Randomized Block Designs: the F test and the paired t-test. (Chapter 13) 9. Nonparametric Statistics: the sign test, Wilcoxon tests, the Kruskal-Wallis test. The Friedman test.
Grading	Working the homework will be a very important component of success in the course. Your grade will be based on your performance on homework assignments, class discussions and presentations of ongoing projects and articles read in professional journals, projects and tests. There will be two semester exams and a final. The date the project is due will be announced.   Homework is only accepted when it is due, and complete work must be shown in order to get credit for it. You may use a mathematics text editor, but this is not mandatory. Make-up tests will not be given unless there are exceptional circumstances.  If you must miss a test, you should notify me in writing before the scheduled test time.  Tentative exam schedule: Exam 1: Feb. 10, 2009 Exam 2: March 31^st, 2009. Final Exam: May 5, 2009, 6:30 – 8:30 PM. Check my homepage http://math.kennesaw.edu for updates on the course.  Grades will be assigned as follows: HW: 35%, Class participation, 5%, exams 40%, project 20%. A: 90% or above, B: between 80% and 90%; C: between 70% and 80%, D: below 70%.
Academic misconduct	Every KSU student is responsible for upholding the provisions of the Student Code of Conduct, as published in the Undergraduate and Graduate Catalogs. Section II of the Student Code of Conduct addresses the University’s policy on academic honesty, including provisions regarding plagiarism and cheating, unauthorized access to University materials, misrepresentation/falsification of University records or academic work, malicious removal, retention, or destruction of library materials, malicious/intentional misuse of computer facilities and/or services, and misuse of student identification cards. Incidents of alleged academic misconduct will be handled through the established procedures of the University Judiciary Program, which includes either an “informal” resolution by a faculty member, resulting in a grade adjustment, or a formal hearing procedure, which may subject a student to the Code of Conduct’s minimal one semester suspension requirement.
Withdrawal policy	Students who find that they cannot continue in college for the entire semester after being enrolled, because of illness or any other reason, need to complete an online form. To completely or partially withdraw from classes at KSU, a student must withdraw online at www.kennesaw.edu, under Owl Express, Student Services. The date the withdrawal is submitted online will be considered the official KSU withdrawal date which will be used in the calculation of any tuition refund or refund to Federal student aid and/or HOPE scholarship programs. It is advisable to print the final page of the withdrawal for your records. Withdrawals submitted online prior to midnight on the last day to withdraw without academic penalty will receive a “W” grade. Withdrawals after midnight will receive a “WF”. Failure to complete the online withdrawal process will produce no withdrawal from classes. Call the Registrar’s Office at 770-423-6200 during business hours if assistance is needed. Students may, by means of the same online withdrawal and with the approval of the university Dean, withdraw from individual courses while retaining other courses on their schedules. This option may be exercised up until March 6, 2009. This is the date to withdraw without academic penalty for Spring term, 2009 classes. Failure to withdraw by the date above will mean that the student has elected to receive the final grade(s) earned in the course(s). The only exception to those withdrawal regulations will be for those instances that involve unusual and fully documented circumstances.

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