|
||
Course DescriptionThis course is a sequel to MAT 340, Probability. We will focus primarily on the theory of statistics, though applications will also be discussed in class and analyzed in assignments. A course in applied statistics (for example, those offered in the Biology, Economics, Political Science, Psychology and Sociology departments) would be an excellent complement to Mathematical Statistics. |
||
Date |
Topic |
Reading |
Homework Assignment |
Due |
Jan 10 |
Sampling Distributions |
7.2 |
Chapter 7 |
|
| Jan 12 | Estimation, Bias and Mean Square Error of Point Estimators; Common Unbiased Point Estimators |
8.1 - 8.3 |
Chapter 8 # 6, 10, 13, 18 |
|
| Jan 14 | Error of Estimation: |
8.4 8.5 |
# 32, 33, 41, 44 | HW #1 |
| Jan 17 | HOLIDAY |
|
||
| Jan 19 | Large-Sample Confidence Intervals and Sample Size | 8.6 8.7 |
# 64, 66, 74, 75 |
|
| Jan 21 | Small-Sample Confidence Intervals for Means |
8.8 |
# 88, 89 |
HW #2 |
| Jan 24 | Confidence Intervals for Variance Efficiency |
8.9 9.2 |
Chapter 8 # 96, 97, 98, 126 Chapter 9 # 2, 7, 8 |
|
| Jan 26 | Consistency | 9.3 |
# 15, 16, 24 | |
| Jan 28 | Sufficiency | 9.4 |
# 39, 40, 43 | HW #3 |
| Jan 31 | Catch-up | |||
| Feb 2 | Method of Moments | 9.6 |
# 74, 78 | |
| Feb 4 | Method of Maximum Likelihood | 9.7 |
# 82, 83, 84 | |
| Feb 7 | Q&A Preparation for Review I | Review I | HW #4 |
|
| Feb 9 | Introduction to Hypothesis Testing | 10.1-10.2 |
#4, 5, 6 | |
| Feb 11 | Large-Sample Tests | 10.3 |
#22, 28, 30, 34 | |
| Feb 14 | Type II Errors and Sample Size Relationship between CI and Hypothesis Testing |
10.4 - 10.5 |
#38, 40, 41, 42 | Review I |
| Feb 16 | Attained Significance, or p-value Small-Sample Tests for Means |
10.6 - 10.8 |
#52, 54, 56, 66, 72, 75 | |
| Feb 18 | Testing Hypotheses about Variances | 10.9 |
#78, 82 | HW #5 |
| Feb 21 | Power and Neyman-Pearson Lemma | 10.10 |
#89, 90, 91, 92, 95 | |
| Feb 23 | Likelihood Ratio Tests | 10.11 |
||
| Feb 25 | Likelihood Ratio Tests, cont. | 10.11 |
#106, 112 | HW #6 |
| Mar 7 | Linear Models and Least Squares | 11.1-11.3 |
#10, 11, 12 | |
| Mar 9 | Properties of Least Squares Estimators | 11.4 |
#15, 17 | |
| Mar 11 | Inferences with Parameters Inferences with Linear Functions of Parameters |
11.5-11.6 |
#23, 26, 35, 38 | HW #7 |
| Mar 14 | Predicting using Simple Linear Regression | 11.7 |
#44 | |
| Mar 16 | Correlation | 11.8 |
#48, 55, 58 | |
| Mar 18 | Multiple Regression with Matrices | 11.10-11.11 |
#68 + 2 problems assigned in class | HW #8 |
| Mar 21 | Inference and Prediction in Multiple Regression | 11.12-11.13 |
#74, 75, 79 | |
| Mar 23 | Testing for all coefficients = 0 | 11.14 |
#82, 83 | |
| Mar 25 | Chi Square Test and Goodness of Fit | 14.2-14.3 |
Review II distributed Chapter 14 #4, 12 |
HW #9 |
| Mar 28 | Contingency and r x c Tables | 14.4-14.5 |
#16, 25(a-b) | |
| Mar 30 | Analysis of Variance | 13.2 |
Chapter 13 #2 | Review II (due Mar 31 by 10 a.m.) |
| Apr 1 | No Class (Project work day) | |||
| Apr 4 | Comparison of More Than Two Means | 13.3-13.4 |
#12 | |
| Apr 6 | One-Way Layout | 13.5-13.6 |
#17 | |
| Apr 8 | Estimation in the One-Way Layout | 13.7 |
#28 | |
| Apr 11 | Randomized Block Design | 13.8-13.10 |
#45, 54 | Project Status Report HW #10 |
| Apr 13 | Selecting the Sample Size | 13.11 |
#61 | |
| Apr 15 | Simultaneous Confidence Intervals | 13.12 |
#67 | |
| Apr 18 | ANOVA Using Linear Models Anova files |
13.13 |
#72 | |
| Apr 20 | No Class (Project work day) | |||
| Apr 21 | PROJECT POSTER SESSION | Poster |
||
| Apr 22 | Sign Test | 15.3 |
#5, 6 | HW #11 |
| Apr 25 | HOLIDAY | |||
| Apr 27 | Wilcoxon Signed-Rank | 15.4 |
#14, 16 | |
| Apr 29 | Randomness Test (over lunch) | 15.9 |
#48, 49 | |
| May 2 | Prepare for Final | Project Final Report HW #12 |
||
| May 4 | Prepare for Final Course evaluations |