Item Response Theory

1 Overview

https://isaactpetersen.github.io/Principles-Psychological-Assessment/item-response-theory.html

2 Analysis examples

2.1 1-parameter logistic model

https://isaactpetersen.github.io/Principles-Psychological-Assessment/item-response-theory.html#sec-irt-onePL

2.2 2-parameter logistic model

https://isaactpetersen.github.io/Principles-Psychological-Assessment/item-response-theory.html#sec-irt-twoPL

2.3 2-parameter multi-dimensional logistic model

https://isaactpetersen.github.io/Principles-Psychological-Assessment/item-response-theory.html#sec-irt-twoPLmultidimensional

2.4 3-parameter logistic model

https://isaactpetersen.github.io/Principles-Psychological-Assessment/item-response-theory.html#sec-irt-threePL

2.5 4-parameter logistic model

https://isaactpetersen.github.io/Principles-Psychological-Assessment/item-response-theory.html#sec-irt-fourPL

2.6 Graded response model

https://isaactpetersen.github.io/Principles-Psychological-Assessment/item-response-theory.html#sec-irt-gradedResponseModel

3 Checking Assumptions

3.1 Monotonicity

Code
library("mokken")

monotonicityCheck <- mokken::check.monotonicity(itemSet)
summary(monotonicityCheck)
plot(monotonicityCheck)

Developmental Psychopathology Lab