Categorical Data Analysis
Taught by Dr. Brian Marx

taught by Brian Marx

Aim of Course:

This online course, "Categorical Data Analysis" will focus on a logistic regression approach for the analysis of contingency table data, where the cell entries represent counts that are cross-tabulated using categorical variables. Tests for (conditional) independence are discussed in the context of odds-ratios and relative risks, for both two-way and three-way data tables. After the ground work is laid for logistic regression models for binomial responses, more complex data structure will be introduced, e.g. those having more categorical variables or even continuous covariates. As a broad view is taken through the generalized linear model framework, opportunity is taken to also present a few model variations, such as Probit regression for binomial responses and Poisson regression for count data.  Model checking (residuals, goodness-of-fit), model inference (testing, confidence intervals), model interpretation (odds-ratios, EL50s), and model selection (AIC, automatic procedures, testing reduced models) are all detailed. The focus of this course will remain laser sharp on logistic regression modeling and on the corresponding interpretation of these models, rather than the theory behind them.  After completing this course, you should be able to:

• Construct R by C tables when given counts
• Calculate joint, marginal and conditional probabilities
• Test for independence, and equality of proportions
• Fit logistic models for binary data
• Fit Poisson models for count data
• Check model assumptions and analyze residuals and goodness-of-fit
• Conduct inference for model parameters
• Interpret the output of a logistic model
• Handle both grouped and ungrouped data
• Use variable selection algorithms (stepwise, etc.) to reduce the number of predictors
• Deal with the effects of sparse data

This course may be taken individually (one-off) or as part of a certificate program.
Course Program:

WEEK 1: Categorical Responses and Contingency Tables

• Binomial and multinomial distributions
• Maximum Likelihood
• Test of proportions
• Joint, marginal and conditional probabilities
• Odds ratio and relative risk
• Test of independence
• Three-way tables
• Conditional independence and homogenous association

WEEK 2: Generalized Linear Models

• Components of a generalized linear model
• Binary data: logistic and probit models
• Poisson regression for count data
• Model checking and residual analysis
• Inference about model parameters
• Goodness-of-fit and deviance

WEEK 3: Applications and Interpretations for Logistic Regression

• Interpretation in logistic regression
• Odds-ratio, EL50, probability rate of change
• Inference and confidence intervals for logistic regression
• Grouped and ungrouped data
• Categorical predictors/ indicator variables/ coding
• Multiple logistic regression

WEEK 4:  Building and Applying Logistic Regression Models

• Strategies in model selection
• Model checking and AIC
• Forward, stepwise, backward algorithms
• Likelihood ratio testing for models
• Deviance and residuals assessment
• Effects of sparse data

HOMEWORK:

Homework in this course consists of short answer questions to test concepts and guided numerical problems using software.

In addition to assigned readings, this course also has supplemental readings available online, example software files, and an end of course data modeling project.

Categorical Data Analysis

Who Should Take This Course:
Anyone who needs to analyze data in which the response is in yes/no or categorical form. Market researchers, medical researchers, surveyors, those who study education assessment data, quality control specialists, life scientists, environmental scientists, ecologists.
Level:
Intermediate
Prerequisite:
Organization of the Course:

This course takes place online at the Institute for 4 weeks. 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.

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, work through exercises, and submit answers. Discussion among participants is encouraged. The instructor will provide answers and comments, and at the end of the week, you will receive individual feedback on your homework answers.

Time Requirement:
About 15 hours per week, at times of  your choosing.

Options for Credit and Recognition:
Students come to the Institute for a variety of reasons. As you begin the course, you will be asked to specify your category:
1. No credit - You may be interested only in learning the material presented, and not be concerned with grades or a record of completion.
2. Certificate - You may be enrolled in PASS (Programs in Analytics and Statistical Studies) that requires demonstration of proficiency in the subject, in which case your work will be assessed for a grade.
3. CEUs and/or proof of completion - You may require a "Record of Course Completion," along with professional development credit in the form of Continuing Education Units (CEU's).  For those successfully completing the course,  CEU's and a record of course completion will be issued by The Institute, upon request.
4. Digital Badge - Courses evaluated by the American Council on Education have a digital badge available for successful completion of the course.
5. Other options - Statistics.com Specializations, INFORMS CAP recognition, and academic (college) credit are available for some Statistics.com courses
College credit:
Categorical Data Analysis has been evaluated by the American Council on Education (ACE) and is recommended for the graduate degree category, 3 semester hours in statistics. Note: The decision to accept specific credit recommendations is up to each institution. More info here.
Course Text:
The required text for this course is An Introduction to Categorical Data Analysis, Third Edition by Alan Agresti.

PLEASE ORDER YOUR COPY IN TIME FOR THE COURSE STARTING DATE.

Software:

Most standard software packages can do various forms of categorical data analysis. No one particular software program is required or used predominantly for course illustrations, but this course does require software that can do tests and confidence intervals for proportions, chi-square tests, and logistic regression. Standard packages such as SAS, Stata, R, SPSS, and Minitab can do this; click here for information on obtaining a free (or nominal cost) copy of various software packages for use during the course.

Note:  If you are planning to use R in this course and are not already familiar with it, please consider taking one of our courses where R is introduced from the ground up:  "R Programming - Introduction 1,"  "Introduction to R: Statistical Analysis," or "Introduction to Modeling."  R has a learning curve that is steeper than that of most commercial statistical software.

Instructor(s):

Dates:

April 03, 2020 to May 01, 2020 October 02, 2020 to October 30, 2020

Categorical Data Analysis

Instructor(s):

Dates:
April 03, 2020 to May 01, 2020 October 02, 2020 to October 30, 2020

Course Fee: \$589

We have flexible policies to transfer to another course, or withdraw if necessary (modest fee applies)

Group rates: Email jdobbins "at" statistics.com to get information on group rates.

First time student or academic? Click here for an introductory offer on select courses. Academic affiliation?  You may be eligible for a discount at checkout.

Register Now

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.

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.

The Institute for Statistics Education is certified to operate by the State Council of Higher Education in Virginia (SCHEV).