With this function data sets according to the Continous Rating Scale Model are simulated
simCRSM(itempar, disp, perspar, mid =0.5, len =1, seed =NULL)
Arguments
itempar: a numerical vector with item parameters
disp: a number setting the dispersion parameter for the item set
perspar: a numerical vector with the person parameters
mid: the midpoint of the response scale (on which the data set is generated)
len: the length of the response scale (on which the data set is generated)
seed: a seed for the random number generated can optionally be set
Returns
datmat: simulated data set - true_itempar: the fixed item parameters according to the input - true_disppar: the fixed dispersion parameter according to the input - true_perspar: the fixed person parameters according to the input
Details
The midpoint and the length of the response scale define the interval of the data set generated. The default of the function generates data according to a response scale between 0 and 1 - that is midpoint 0.5 and length 1.
References
Mueller, H. (1987). A Rasch model for continuous ratings. Psychometrika, 52, 165-181.