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MAT 351 Lecture Schedule, Spring 2004 |
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| Week | Topics |
| Week 1 (1/12--1/16) | Review: probability; discrete and continuous random variables |
| Week 2 (1/19--1/23) | Review: mean and variance; moment-generating function; multivariate distribution; sampling distribution theory; central limit theorem |
| Week 3 (1/26--1/30) | Point estimation: unbiasedness; mean square error; method of
moments; Rao-Cramer inequality; maximum likelihood estimator.
Homework #1 due: January 30 (Friday) |
| Week 4 (2/2--2/6) | Interval estimation of: mean of normal and nonnormal distribution; variance; proportion; difference of means; mean of differences; sample size determination. |
| Week 5 (2/9--2/13) | Tests of statistical hypothesis: hypotheses; decision rule;
p-value; two types of error; one-side and two-side alternatives; testing
the mean of normal distribution.
Homework #2 due: February 13 (Friday) |
| Week 6 (2/16--2/20) | Tests of statistical hypothesis: proportion; variance; Student's
T-test; paired T-test; power function.
 In-Class Exam #1: February
20 (Friday) |
| Week 7 (2/23--2/27) | Nonparametric tests: Wilcoxon (Mann-Whitney) rank-sum test; Wilcoxon signed-rank test. |
| Week 8 (3/1--3/5) | Chi-square tests: goodness-of-fit test; test of independence;
test of homogeneity.
Homework #3 due: March 5 (Friday) |
| Week 9 (3/15--3/19) | Analysis of variance: comparing means of normal populations; ANOVA table construction; pitfalls of multiple comparison; Bonferroni adjustment, Tukey's method.Scheffe's confidence interval; checking model assumptions; Kruskal-Wallis test. |
| Week 10 (3/22--3/26) | Two-way Analysis of variance. |
| Week 11 (3/29--4/2)
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Simple linear regression: linear regression model; scatterplot;
least squares principle; hypothesis testing and confidence interval for
the slope and intercept; confidence and prediction interval.
Homework #4 due: March 31 (Wednesday) In-Class Exam #2: April
2 (Friday) |
| Week 12 (4/5--4/9) | Simple linear regression: coefficient of determination; ANOVA table; correlation coefficient; model assumption and diagnostic checking; misuse of regression; regression effect. |
| Week 13 (4/12--4/16) | Multiple linear regression: matrix description of linear regression
with two predictors; interpreting the computer output; confidence interval
of the mean response.
Homework #5 due: April 16 (Friday) |
| Week 14 (4/19--4/23) | Multiple linear regression: prediction interval for a future observation; partial F-test; diagnostic checking I; diagnostic checking II; influential point and outlier; Cook's distance; serial correlation of observations. |
| Week 15 (4/26--4/30)
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Project presentation
Homework #6 due: April 30 (Friday) Final project written report
due: April 30 (Friday) |
| Week 16 (5/3--5/7) | Final Exam: May 5th, 1:00
PM |
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