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

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
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