Randomization, Permutation and Exact Tests
Dr. Patrick OnghenaAim of Course:
Participants in this course will learn how to test hypotheses in randomized experiments using randomization tests, and in non-randomized studies using permutation tests. These tests are based on random shuffling (or exhaustive permutation) of the data, and do not require complex mathematical theory. They can flexibly handle a variety of test statistics and designs, including studies that lack random sampling. The course covers two-sample tests, one-way ANOVA, tests for factorial designs, multiple comparisons, repeated measures and more.See also: Introduction to Resampling Methods and Bootstrap Methods
Who Should Take This Course:
Researchers who need to test hypotheses with non-random samples, small samples; analysts who need to report "exact" p-values to journals and regulators.For those enrolled in a Program of Advanced Statistical Studies, this is a required or elective course in the following Programs:
- Statistics for Social Sciences - elective
- Statistics for Environmental Science - elective
- Biostatistics (controlled trials) - elective
Course Program:
The course is structured as follows:Session 1: The rationale of randomization tests
- Statistical tests for randomized experiments
- Statistical tests that do not require random sampling
- The prevalence of nonrandom samples in experiments
- The irrelevance of random samples for the typical experiment
- Generalizing from nonrandom samples
- Versatility and practicality
- Between-subject and within-subject randomization
- Conventional and unconventional randomization procedures
- Randomization procedures for randomization tests
- Calculating p-values
- Systematic reference sets
- Criteria of validity for randomization tests
- Randomization test null hypotheses
- Permuting data for experiments with equal sample sizes
- Monte Carlo randomization tests
- Equivalent test statistics
- Randomization test computer programs
- Writing programs for randomization tests
- The independent randomization t test with systematic and random reference sets
- One-way ANOVA with systematic and random reference sets
- Factorial designs for completely randomized experiments
- Program for tests of main effects
- Interactions in completely randomized experiments
- Analysis of covariance
- Planned and multiple comparisons
- Loss of experimental subjects and outliers
- Dichotomous and ranked data
- The correlated randomization t test with systematic and random reference sets
- Repeated measures ANOVA with systematic and random reference sets
- Factorial experiments with repeated measures
- Interactions in repeated-measures experiments
- Randomized block designs
- Combining p-values
- Planned and multiple comparisons
- Loss of experimental subjects and outliers
- Dichotomous and ranked data
The Instructor:
Dr. Patrick Onghena is Professor of Statistics at the Katholieke Universiteit Leuven in Belgium, where he teaches methodology and statistics courses to majors in educational sciences, and speech and hearing sciences. He coauthored the 4th edition of Randomization Tests (Chapman & Hall/CRC, 2007), several other books on methodology and statistics and some 100 papers in the scientific literature. He acts as associate editor of the Journal of Statistics Education and of Behavior Research Methods, and as the section editor of Intervention Studies / Observational Studies in the Encyclopedia of Statistics in Behavioral Science (Wiley, 2005). He is a member of the Belgian Statistical Society and the Belgian Federation of Psychologists, and an International Affiliate of the American Psychological Association and the American Educational Research Association.Organization of the Course:
The course takes place over the internet, at statistics.com. During each course week, you participate at times of your own choosing - there are no set times when you must be online. Course participants will be given access to a private discussion board. In class discussions led by the instructor, you can post questions, seek clarification, and interact with your fellow students and the instructor. The course is scheduled to take place over 4 weeks, and typically requires 15 hours per week. At the beginning of each week, you receive the relevant material, in addition to answers to exercises from the previous session. During the week, you are expected to go over the course materials and work through exercises. Discussion among participants is encouraged. The instructor will provide answers and comments.Certificates and Grades:
You may be interested only in learning the material presented, and not be concerned with grades or certificates. Or you may be enrolled in a statistics.com Program in Advanced Statistical Studies that requires demonstration of proficiency in the subject, in which case your work will be assessed for purposes of issuing a grade. Or you may require only a "Certificate of Course Completion," along with professional development credit in the form of Continuing Education Units (CEU's). As you begin the class, you will be asked to specify your category.Credit:
This course offers continuing education units (CEU's). For those successfully completing the course (generally this means marks of 50% or better on the homework), 5.0 CEU's and a certificate will be issued by statistics.com, upon request.Dates:
Apr. 22 - May. 20, 2011Click here to be notified of future course offerings.
Participants gain access to the online materials on the first day of the course, and typically spend about 15 hours per week (at their convenience). You retain full access to course materials, including discussion board, for two weeks after the course closing date.
Level:
intermediatePrerequisite:
The equivalent of Introduction to Statistics 1: Inference for a Single Variable, and Introduction to Statistics 2: Working with Bivariate Data (and, if necessary before these courses, Introduction to Statistics for Beginners or Survey of Statistics for Beginners).For additional information about course prerequisites, click here.
Course Text:
The course text is Randomization Tests by Eugene S. Edgington and Patrick Onghena, 4th ed., from Chapman & Hall/CRC Press. This text (and all other statistics titles) can be ordered directly from CRC press here without any discount. CRC Press usually gives a 25% discount when the book is ordered using this order form. Please be sure you obtain your copy before the start of the course.Software:
Homework exercises will use RT4Win, SCRT, and COMBINE; all three come with the course text and can be used for most of the course exercises. There will also be illustrations of, and opportunities to use standard software such as SAS, SPSS, and R, as well as special purpose software such as Resampling Stats and StatXact. Click Here for information on obtaining a free (or nominal cost) copy of various software packages for use during the course.Registration:
Register Online - $499Register Online (academic) - $399 (you must be affiliated with a college, university or high school)
Add $50 service fee if you require a prior invoice, or if you need to submit a purchase order or voucher, pay by wire transfer or EFT, or refund and reprocess a prior payment. Please use this printed registration form, for these and other special orders.
Note: Courses may fill up at any time and registrations are processed in the order in which they are received. Your registration will be confirmed for the first available course date, unless you specify otherwise.
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