Simulation of Rasch homogeneous data
This utility function returns a 0-1 matrix which fits the Rasch model.
sim.rasch(persons, items, seed = NULL, cutpoint = "randomized")
persons |
Either a vector of person parameters or an integer indicating the number of persons (see details) |
items |
Either a vector of item parameters or an integer indicating the number of items (see details) |
seed |
A seed for the random number generated can be set. |
cutpoint |
Either |
If persons
or items
is an integer value, the corresponding parameter vector is drawn from N(0,1). The cutpoint
argument refers to the transformation of the theoretical probabilities into a 0-1 data matrix. A randomized assingment implies that for each cell an additional random number is drawn. If the model probability is larger than this value, the person gets 1 on this particular item, if smaller, 0 is assigned. Alternatively, a numeric probability cutpoint can be assigned and the 0-1 scoring is carried out according to the same rule.
Su\'arez-Falc\'on, J. C., & Glas, C. A. W. (2003). Evaluation of global testing procedures for item fit to the Rasch model. British Journal of Mathematical and Statistical Society, 56, 127-143.
#simulating Rasch homogenous data #100 persons, 10 items, parameter drawn from N(0,1) X <- sim.rasch(100, 10) #person parameters drawn from uniform distribution, fixed cutpoint ppar <- runif(100,-2,2) X <- sim.rasch(ppar, 10, cutpoint = 0.5)
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