# 13 - Course Summary

13 - Course Summary

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

• 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

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