MATH 3339: Statistics for the Sciences

Course Outline

Prerequisites: Math 1432: Calculus II

Textbook: Applied Statistics for Engineers and Physical Scientists, 3^rd Edition by Ledolter and Hogg, Prentice-Hall, 2010.

The problems listed below are suggestions for the instructor. He or she will decide which problems to assign for homework.

Chapter 1: Collection and Analysis of Information (1½ weeks)

1.1 Introduction Read

1.2 Measurements over Time Read

1.3 Data Display and Summary 2, 3, 4, 9, 13, 14-17

1.4 Comparison of Samples 1, 2, 5, 6

1.5 Graphical Techniques 4, 5, 8, 11

Chapter 2: Probability Models and Discrete Distributions (2½ weeks)

2.1 Probability 2-5, 7-10

2.2 Conditional Probability 1, 2, 4, 5, 8-10, 12, 14, 15, 19

2.3 Random Variables 1, 3, 5-8

2.4 The Binomial Distributions 1-4, 6, 9, 11, 16

2.5 The Poisson Distributions 1, 3-5, 7, 9

2.6 Multivariate Distributions 1, 3, 7, 8, 10, 11

2.7 Estimation of Parameters 1, 2

Chapter 3: Continuous Probability Models (2 weeks)

3.1 Continuous Random Variables 2-7

3.2 The Normal Distributions 1-3, 5, 7, 10, 11, 14, 15

3.3 Other Useful Distributions 2, 4, 5, 8, 12

3.4 Simulation 3-5

3.5 Joint Continuous Distributions 1, 2

3.6 Fitting and Checking Models 3, 4, 10, 11

Chapter 4: Statistical Inference (3 weeks)

4.1 Sampling Distributions 1, 2, 4-6, 8, 9, 13

4.2 Confidence Intervals for Means 1-8

4.3 Inference with Small Samples 1-4, 6-9

4.4 Other Confidence Intervals 1-4, 7, 9

4.5 Tests for a Single Distribution 2-7, 11-13

4.6 Tests for Two Distributions 1, 3, 5-10

4.7 Chi-Square Tests 1-5, 7

Chapter 8: Regression Analysis (2½ weeks)

8.1 Simple Linear Regression 1-7

8.2 Inferences in Simple Regression 1-3, 5-7

8.3 Adequacy of the Fitted Model 1, 4, 6, 7

8.4 Multiple Linear Regression 2, 3, 7

Chapter 6: Experiments with One Factor (1½ weeks)

6.1 One-Factor Experiments 1, 3-7, 10

6.2 Other Inferences 1-3

6.3 Randomized Block Designs 1-3