RMSD: This function calculates root mean squared difference (RMSD)...

In mustfa5/test.adaptation: Adaptation - level of adaptation of a computerized adaptive test

Description

This function calculates root mean squared difference (RMSD) function as introduced in Wyse & McBride (2021)

Usage

RMSD(estimated.theta, items.administered, bank)

Arguments

estimated.theta	A data matrix that has the provisional ability estimates upon administering a sequence of items. In this input, rows are individuals taking the CAT. The columns are the items administered to individuals. The values in the cells are the provisional ability estimates after each item administration.
items.administered	A data matrix that has the set of item items administered to individuals. This input assumes that every row in the data frame corresponds to the set of item names/identifiers administered to an individual.
bank	A data matrix that have item parameters in the following order: discrimination, difficulty, guessing and slipping.

Value

Returns a matrix for RMSD in which every row is the RMSD for each test taker

References

Wyse, A. E., & McBride, J. R. (2021). A Framework for Measuring the Amount of Adaptation of Rasch‐based Computerized Adaptive Tests. Journal of Educational Measurement, 58(1), 83-103.

Examples

library(catR)
N=1000 #number of students
bank=250 #number of items
items=45
theta=rnorm(N,0,1) #level of trait
model="2PL" #IRT model to use
start <- list(theta = -1:1, randomesque = 1)
stop <- list(rule = c( "length"), thr = items)
final <- list(method = "ML")

test=list(method = "ML", itemSelect = "MFI")
bank=genDichoMatrix(items =bank, cbControl = NULL,
                   model = model)

res <-simulateRespondents(thetas = theta, bank,
                          start = start, test = test, stop = stop,
                          final = final, model = NULL)

estimated.theta=res$responses.df[,grepl("estimated.theta",names( res$responses.df ) ) ]
items.administered=res$responses.df[,grepl("items.administrated",names( res$responses.df ) ) ]
RMSD(estimated.theta, items.administered, bank)

mustfa5/test.adaptation documentation built on Dec. 21, 2021, 11:03 p.m.