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)
|
|