MATH 481, Spring 2006


Date
Topics
Textbook sections
Jan 17
Discrete and continuous random variables; expectation and moments; probability distributions; Chebyshev's inequality
3.1, 3.2, 3.3, 4.2, 4.3, 6.2, 6.3, 6.4, 4.4, 4.5
Jan 19
The normal distribution; joint distributions; covariances
6.5, 3.5, 4.6
Jan 24
Statistics; point estimation; interval estimation; interval estimation of the mean of a normal population with known variance
8.1, 8.2, 10.1, 11.1, 11.2
Jan 26
Central limit theorem; chi-square and t-distributions
8.2, 8.4, 8.5
Jan 31
Interval estimation of means and of differences of means
11.2, 11.3
Feb 2
Interval estimation of variances and of ratios of variances
8.6, 11.6, 11.7
Feb 7
Interval estimation of proportions
11.4, 11.5
Feb 9
Order statistics
8.7
Feb 14
Biased and unbiased estimators.  Consistency of estimators
10.1, 10.2, 10.4
Feb 16
Efficiency and sufficiency of estimators; Cramér-Rao inequality
10.3, 10.5
Feb 21
Review

Feb 23
Exam 1

Feb 28
Return and discuss exam; "Practical stats" (5 number summary, stem-and-leaf plot, box plot, outliers); generating functions
3.8
Mar 2
Ordinary power series generating functions; Exponential generating functions; Moment generating functions
4.5
Mar 7
Method of moments and maximum likelihood estimators
10.7, 10.8
Mar 9
Miscellaneous topics

Mar 21
Introduction to Hypothesis testing; type I and type II errors; level of significance
Hypothesis testing supplement, 12.1, 12.2
Mar 23
Hypothesis testing for means
13.1, 13.2, 13.3
Mar 28
Hypothesis testing for variances
13.4
Mar 30
Review

Apr 4
Exam 2 (Note the change in exam date due to Instructor's jury duty summons)

Apr 6
Go over exam

Apr 11
Hypothesis testing for count data: goodness of fit and contingency tables
13.7, 13.8
Apr 13
Linear regression and the method of least squares
14.3
Apr 18
Normal regression analysis and Normal correlation analysis
14.4, 14.5
Apr 20
Analysis of variance (ANOVA)
15.2; ANOVA supplement
Apr 25
Nonparametric or distribution free statistics
16.1, 16.2, 16.3
Apr 27
Review

Fri May 5 FINAL EXAM (Noon to 3 PM)