WLErel: Reliability Estimation in 'TAM'

In alexanderrobitzsch/TAM: Test Analysis Modules

Reliability Estimation in TAM

Description

Functions for computing reliability estimates.

Usage

WLErel(theta, error, w=rep(1, length(theta)), select=NULL)

EAPrel(theta, error, w=rep(1, length(theta)), select=NULL)

Arguments

theta	Vector with theta estimates
error	Vector with standard errors of theta estimates
w	Optional vector of person weights
select	Optional vector for selecting cases

Details

The reliability formulas follow Adams (2005). Let v denote the variance of theta estimates and let s denote the average of the squared error. Then, the WLE reliability is defined as 1-s/v=(v-s)/v while the EAP reliability is defined as 1 - s/(s+v)=v/(s+v).

Value

Numeric value

References

Adams, R. J. (2005). Reliability as a measurement design effect. Studies in Educational Evaluation, 31(2), 162-172. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1016/j.stueduc.2005.05.008")}

Examples

#############################################################################
# EXAMPLE 1: Toy example for reliability functions
#############################################################################

set.seed(9897)
N <- 100
# simulate theta and error SDs
x <- stats::rnorm(N,sd=2)
error <- stats::runif(N, .7, 1.3)
# compute WLE reliability
WLErel(x,error)
# compute EAP reliaility
EAPrel(x,error)

alexanderrobitzsch/TAM documentation built on Feb. 21, 2024, 5:59 p.m.