Download Statistical Methods

Math 3261/001 - Fall 2014
Statistical Methods
Instructor: Dr. Nicolae R. Pascu
Office: R2 329, Phone: (678) 915-4989
E-mail: [email protected]
TEXTBOOK: Probability and Statistics, 8e, J. Devore (Brooks/Cole, Cengage learning).
To enroll in class (WebAssign) use the key spsu 7210 3202.
MEETING TIMES/LOCATION: MWF 11:00 am - 11:50 am/ J215B
COURSE DESCRIPTIONThis course is designed to introduce the student to inferential
statistics. Topics include: Central Limit Theorem, sampling distributions, statistical
tests/confidence intervals for means and proportions, inferences for correlation and
regression, multiple regression, Chi Square: tests of independence and goodness of fit
test, testing and estimating a single variance or standard deviation (ANOVA).
Appropriate technology may at times be used to complement the learning process.
GOALS: Upon completing this course students should be able to:
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Understand Central Limit Theorem and its application to confidence intervals of
mean and proportion; conduct hypothesis testing for mean, deviation, and
proportion.
Understand correlation and regression; know how to perform linear regression
analysis.
Test hypotheses involving one or two variances by using Chi-square and F
distributions; perform one-way and two-way analysis of variance.
OFFICE HOURS: MTuTh 8:10 – 9:00, W 9-10:50, or by appointment.
PREREQUISITE: Prerequisite: MATH 2253.
HOMEWORK: For each section, there will be a minimum number of problems, which I
strongly suggest to be done by the next class meeting. Selected homework problems will
be collected and graded.
COURSE POLICY: Occasionally we will have a quiz or a group project. There will two inclass exams, tentatively scheduled for Sep 8th, and Oct 17th respectively. The final exam is
cumulative (the date will be announced).
There will be no make-up midterm exams.
Evaluation: Input into semester grades will be as follows:
- 25% Exam 1,
- 25% Exam 2
- 20% HW/Projects
- 30% Final Exam
The scale for converting your score to letter grades is the usual one (90% or more is an A,
80-89% is a B, 70-79% is a C, 60 - 69% is a D, below 60% is a F).
IMPORTANT DATES: Labor Day Holiday September 1st/ The last day to withdraw from
class with a grade of "W" is October 2nd/ Thanksgiving Holiday November 26th – 28th/ Last
day of classes Monday, December 1st.
STUDENTS WITH DISABILITIES: Students with disabilities who believe that they may need
accommodations in this class are encouraged to contact the counselor working with
disabilities at (678) 915-7361from the ATTIC office (http://www.spsu.edu/ATTIC/) as soon
as possible to better ensure that such accommodations are implemented in a timely
fashion.
NOTE: The pace may vary, so the following is a weekly rather than daily outline.
MATH 3261/001
Statistical Methods
COURSE OUTLINE
WEEK
Aug 13th -Aug 15th
Aug 18th -Aug 22nd
Aug 25th -Aug 29th
Sep 1st -Sep 5th
SECTIONS/TOPICS
3.1 Random variables
3.2 Probability distributions for discrete r.v.
3.3 Expected values
4.1 Probability density functions
4.2 Cumulative distribution functions and expected values
5.1 Jointly distributed r.v.
5.2 Expected value, covariance and correlation
5.3 Joint Probability Distributions and
Random Samples
5.4 Joint Probability Distributions and
Random Samples
6.1 Point Estimation
6.2 Methods of point estimation
Labor Day Holiday Monday,
September 1st
Sep 8th -Sep 12th
Sep 15th -Sep 18th
Sep 22nd -Sep 25th
Sep 29th -Oct 3rd
Oct 6th -Oct 10th
EXAM 1
7.1 Confidence intervals
7.2 Confidence intervals for a population mean and proportion
7.3 Intervals based on a normal population distribution
7.4 Confidence intervals for the variance and standard deviation
8.1 Hypotheses and Tests Procedures
8.2 Tests about a population mean
8.3 Tests concerning a population proportion
8.4 P-values
9.1 z-tests and confidence intervals for a difference between two population means
9.2 Two sample t-test and confidence interval
Oct 13th -Oct 17th
Oct 20th - Oct 24th
Oct 27th -Oct 31st
Nov 3rd -Nov 7th
Nov 10th – Nov 14th
Nov 17th – Nov 21st
Nov 24th – Dec 1st
Thanksgiving Holiday
Nov 26th – Nov 28th
9.3 Analysis of paired data
9.4 Inferences for differences between population proportions
9.5 Inferences concerning two population variances
EXAM 2
12.1 The simple linear regression model
12.2 Estimating model parameters
12.3 Inferences about the slope parameter
12.4 Inferences and prediction of future y-values
12.5 Correlation
14.1 Goodness of fit (category probabilities specified)
14.2 Goodness of fit for composite hypotheses
14.3 Two way contingency tables
10.1 Single factor ANOVA
10.2 Multiple comparisons in ANOVA
Review for Final Examination