obsInf: Observed Information

In erossiter/catSurv: Computerized Adaptive Testing for Survey Research

Observed Information

Description

Calculates the observed information of the likelihood of a respondent's ability θ for a given item.

Usage

obsInf(catObj, theta, item)

Arguments

catObj	An object of class Cat
theta	A numeric or an integer indicating the value for θ
item	An integer indicating the index of the question item

Details

The observed information is equivalent to the negative second derivative of the log-likelihood evaluated at θ. This function should never be called when the respondent has answered no questions as the likelihood is not defined.

Value

The function obsInf returns a numeric value of the observed information of the likelihood, given θ, for a given question item.

Note

This function is to allow users to access the internal functions of the package. During item selection, all calculations are done in compiled C++ code.

Author(s)

Haley Acevedo, Ryden Butler, Josh W. Cutler, Matt Malis, Jacob M. Montgomery, Tom Wilkinson, Erin Rossiter, Min Hee Seo, Alex Weil

See Also

estimateTheta, expectedObsInf

Examples

## Loading ltm Cat object
data(ltm_cat)

## Store example answers
setAnswers(ltm_cat) <- c(1,0,1,0,1, rep(NA, 35))

## Calculate observed information for different ability parameters and items
obsInf(ltm_cat, theta = 1, item = 10)
obsInf(ltm_cat, theta = 1, item = 11)
obsInf(ltm_cat, theta = 0, item = 10)
obsInf(ltm_cat, theta = 0, item = 11)

erossiter/catSurv documentation built on Dec. 11, 2022, 6:36 p.m.