Instructor Office: 694 PGH2. Goals and Objectives:
Office Hours: Mon 1-2, Wed 11-12 or by appointment
Phone Number: (713) 743-3492
E-mail address: dlabate@math.uh.edu
Homepage: http://www.math.uh.edu/~dlabate
The course is an introduction to statistics. Students are introduced to the notions of graphical and descriptive methods in statistics, probability models, random variables and distributions, sampling, estimation, hypothesis testing, regression, analysis of variance, exploratory and diagnostic methods, statistical computing. Students will also be introduced to R, a powerful free software environment for statistical computing and graphics.3. Textbook: "Probability and Statistics for Engineering and the Sciences", 8th Edition, by Jay Devore, Brooks/Cole 2012. Note: Textbook is not required but it is useful if you want to study on your own or have a reference. All material needed for the course will be presented in class or made available through notes.
Set theory. Here are some background notes on set theory: brief note, longer article (by Daniel Ashlock at University of Guelph).
R resources. Here is the link to the Comprehensive R Archive Network CRAN to download R and here is the link to Rstudio. Rstudio includes a console, syntax-highlighting editor that supports direct code execution, and a variety of robust tools for plotting, viewing history, debugging and managing your workspace. Here are some manuals and here are some introductory examples of R scripts.
Here a summary table on confidence interval and hypothesis testing: tables4. Homework and Examinations:
The only way to understand and master the material presented in class is by working out the homework problems on your own. You are strongly encouraged to work out the homework problems that are assigned regularly and carefully. Copying the homework from someone else or watching someone else doing the work for you will bring you minimal benefit. The homework will count 30% towards the final grade. There will be (almost) weekly homework assignments posted at the link below. At the end of the semester, your worst HW score will be dropped.Grading:Homework submission and evaluation policy: Every week I will administer a short quiz (10 min) based on the homework and I might collect the homework. The quiz will be at the beginning of the lecture. If you are forced to miss class on that day, you can hand me the homework before or e-mail it to me by the DUE DATE AT THE BEGINNING OF THE LECTURE (10AM). No late homework submissions will be accepted. A late or missed HW will receive a 0 score. Subnmitted homework should be in a "professional" form which allows a grader to read your solutions without unnecessary effort or ambiguity. In particular, your solution should either be typed or handwritten in a neat and legible form; if you submit scanned pages, they should be perfectly legible; submitted pages should be ordered with clear indication of which problem is being solved; if your homework solution consists of more than one page, pages must be stapled. Collected homework which does not satisfy these guidelines might receive up to a 50% penalty in the score.
HOMEWORK PROBLEMS: (the list below will be updated during the semester) Tests. There will be three tests in class counting 40% towards the final grade (tentatively) on WED FEB 6, FRI MAR 8, WED APR 17 . The worst of your 3 tests will be half-dropped; that is, the 3 tests counts 40% towards the final grade, where the best two tests will count 16% each, the worst one will count 8%.
Homework 1 - HW1 - DUE: 1/23 - Solution.
Homework 2 - HW2 - DUE: 1/30 - Solution.
Homework 3 - HW3 - DUE: 2/11 - Solution.
Homework 4 - HW4 (with tables of Binomial cdf) - DUE: 2/20 - Solution.
Homework 5 - HW5 (with tables of Poisson cdf) - DUE: 2/27 - Solution.
Homework 6 - HW6 (with tables of normal distribution) - DUE: 3/18 - Solution.
Homework 7 - HW7 - DUE: 3/25 - Solution.
Homework 8 - HW8 - DUE: 4/1 - Solution.
Homework 9 - HW9 (with tables of Student t distribution) - DUE: 4/10 - Solution.
Homework 10 - Problems 20, 25(a),28, 34(a) at p.321-323 see extracted pages - Table of hypothesis testing - DUE: 4/22 - Solution.
Final exam. The final exam counts 30% towards the final grade. This is scheduled on WED MAY 8 at 11 am.
Makeup test. Makeup tests will be allowed only for justified and unavoidable absences (e.g., a car accident, a medical or family emergency). In this case, if possible, previous authorization should be obtained from the Instructor. In all other cases, you will receive a zero score for a missed test. All arrangements for make-ups must be made via email.Here are some old tests with solutions:
Test #1 - Solution -- Test #2 - Solution -- Test #3 - Solution.Here is a past final exam:
Past final examHere are the tests with solutions: (I will post the information for current tests when available)
Test #1 with Solution -- Test #2 with Solution -- Test #3 with Solution
The grade will be determined according to a set point scale: 90%-100%: A, 80%-89%: B, 70%-79%: C, 60-69% D; F is less than 60% (+ and - will also be used).5. Topics and estimated lectures allocated to each topics:
Chapter | Sections | Covered so far | Lectures | Topics |
1 | 1-4 |
1 | Overview | |
2 | 1-5 |
6-7 | Probability | |
3 | 1-6 | 5 | Discrete Random Variables | |
4 | 1-4 | 5 | Continuous Random Variables | |
5 | 1-5 |
4 | Joint Probability Distributions | |
6 | 1 |
1 | Point Estimation | |
7 | 1-4 |
6 |
Confidence Intervals | |
8 | 1-4 |
4 |
Hypothesis Testing | |
9 | 1-2 |
3 |
Inference | |
12 | 1-3 | 3 | Regression Analysis |