transreas: Transitive Reasoning
Description
Data came from 12 dichtomous items administered to 425 children in grades 2 to 6 (Verweij, Sijtsma, and Koops, 1996).
Each item is a transitive reasoning task.format
A 425 by 13 (grade and scores on 12 items) matrix containing integers.
attributes(transreas) gives details on the itemsDetails
Items have two ordered answer categories,
incorrect (score 0), correct (1).
(for detailed information, see Sijtsma and Molenaar, 2002, p. 33).
lrlclr{
Item Task Property Format Objects Measures
T09L 9 length YA = YB < YC = YD sticks 12.5, 12.5, 13, 13 (cm)
T12P 12 pseudo
T10W 10 weight YA = YB < YC = YD balls 60, 60, 100, 100 (g)
T11P 11 pseudo
T04W 4 weight YA = YB = YC = YD cubes 65 (g)
T05W 5 weight YA < YB < YC balls 40, 50, 70 (cm)
T02L 2 length YA = YB = YC = YD tubes 12 (cm)
T07L 7 length YA > YB = YC sticks 28.5, 27.5, 27.5 (cm)
T03W 3 weight YA > YB > YC tubes 45, 25, 18 (g)
T01L 1 length YA > YB > YC sticks 12, 11.5, 11 (cm)
T08W 8 weight YA > YB = YC balls 65, 40, 40 (g)
T06A 6 area YA > YB > YC discs .5, 7, 6.5 (diameter; cm)
}
Verweij, A. C., Sijtsma, K., and Koops, W. (1996).
A Mokken scale for transitive reasoning suited for longitudinal research.
International Journal of Behavioral Development, 23, 241-264.
Sijtsma, K. and Molenaar, I. W. (2002).
Introduction to nonparametric item response theory,
Thousand Oaks, CA: Sage.
# Construction of Table 3.1 in Sijtsma and Molenaar (2002, p. 33)
data(transreas)
grades <- transreas[,1]
item.scores <- transreas[,-1]
Total.group <- round(apply(item.scores,2,mean),2)
for (i in 2:6) assign(paste("Grade.",i,sep=""),
round(apply(item.scores[grades==i,],2,mean),2))
Task <- c(9,12,10,11,4,5,2,7,3,1,8,6)
Property <- attributes(transreas)$property
Format <- attributes(transreas)$format
Objects <- attributes(transreas)$objects
Measures <- attributes(transreas)$measures
Table.3.1 <- data.frame(Task,Property,Format,Objects,Measures,
Total.group,Grade.2,Grade.3,Grade.4,Grade.5,Grade.6)
Table.3.1
datasets