Q_3 Statistic of Yen (1984) for Testlets
This function calculates the average Q_3 statistic (Yen, 1984) within and between testlets.
Q3.testlet(q3.res, testlet.matrix, progress=TRUE)
q3.res |
An object generated by |
testlet.matrix |
A matrix with two columns. The first column contains names of the testlets and the second names of the items. See the examples for the definition of such matrices. |
progress |
Logical indicating whether computation progress should be displayed. |
A list with following entries
testlet.q3 |
Data frame with average Q_3 statistics within testlets |
testlet.q3.korr |
Matrix of average Q_3 statistics within and between testlets |
Yen, W. M. (1984). Effects of local item dependence on the fit and equating performance of the three-parameter logistic model. Applied Psychological Measurement, 8, 125-145.
For estimating all Q_3 statistics between item pairs use
Q3.
############################################################################# # EXAMPLE 1: data.read. The 12 items are arranged in 4 testlets ############################################################################# data(data.read) # estimate the Rasch model mod <- sirt::rasch.mml2( data.read) mod$item # estmate WLEs mod.wle <- sirt::wle.rasch( dat=data.read, b=mod$item$b ) # Yen's Q3 statistic mod.q3 <- sirt::Q3( dat=data.read, theta=mod.wle$theta, b=mod$item$b ) # Yen's Q3 statistic with testlets items <- colnames(data.read) testlet.matrix <- cbind( substring( items,1,1), items ) mod.testletq3 <- sirt::Q3.testlet( q3.res=mod.q3,testlet.matrix=testlet.matrix) mod.testletq3
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