This summary illustrates how many of the main ideas from this course are interconnected, either as special cases or applications. Click on the links below for more details.
Nominal data
- test for proportion \(\pi\)
- goodness of fit test
- difference in risks, relative risk, and odds ratio
- test for independence
- Fisher's exact test
- conditional odds ratios
- logistic regression
- baseline multinomial regression
- log-linear model
- McNemar's test
- Generalized estimating equations
Ordinal data
- cumulative odds ratios
- measures of association
- Mantel-Haenszel test
- proportional odds multinomial regression
Quantitative data
- Mantel-Haenszel test
- Poisson regression
- linear-by-linear association
Test for proportion \(\pi\)
- nominal data
- goodness of fit test
Goodness of fit test
- nominal data
- test for proportion \(\pi\)
- test for independence
- Fisher's exact test
Difference in risk, relative risk, and odds ratio
- nominal data
- test of independence
- Fisher's exact test
- logistic regression
- McNemar's test
- log-linear model
test of independence
- nominal data
- goodness of fit test
- difference in risk, relative risk, and odds ratio
- Fisher's exact test
- logistic regression
- log-linear model
Cumulative odds and odds ratio
- ordinal data
- odds ratio
Measures of linear trend
- ordinal data
- test for independence
- linear-by-linear association
Mantel-Haenszel test for linear trend
- quantitative data
- test for independence
- linear-by-linear association
Fisher's exact test
- nominal data
- test for independence
- sparse data
Conditional odds and association
- nominal data
- logistic regression model
- log-linear model
Simpson's paradox
- nominal data
- quantitative data
Generalized linear models
- nominal data
- ordinal data
- quantitative data
- logistic regression model
- multinomial regression model
- Poisson regression model
Logistic regression
- nominal data
- quantitative data
- test for proportion
- difference in risk, relative risk, and odds ratio
- generalized linear model
- multinomial regression model
Overdispersion for binomial data
- goodness of fit test
- model diagnostics
model diagnostics
- overdispersion
Baseline multinomial model
- nominal data
- logistic regression model
- generalized linear model
Proportional odds model
- ordinal data
- logistic regression
- cumulative odds
Poisson regression model
- quantitative data
- log-linear model
Overdispersion for count data
- goodness of fit test
- model diagnostics
Log-linear model
- nominal data
- ordinal data
- conditional odds and association
- odds ratio
- test of independence
- linear-by-linear association
Types of association
- nominal data
- conditional odds and association
Linear-by-linear association
- ordinal
- log-linear model
- Mantel-Haenszel test for linear trend
McNemar's test
- nominal data
- difference in risk, relative risk, and odds ratio
- test of independence
measures of agreement
- nominal data
- log-linear model
Clustered categorical data
- nominal data
- McNemar's test
- measures of agreement
Sparse data
- nominal data
- quantitative data
- test of independence
- Fisher's exact test