01200nas a2200133   4500008004100000245008300041210006900124300001200193490000700205520069300212653003400905100002000939856010700959       2000                        eng d00aTaylor approximations to logistic IRT models and their use in adaptive testing0 aTaylor approximations to logistic IRT models and their use in ad  a307-3430 v253 aTaylor approximation can be used to generate a linear approximation to a logistic ICC and a linear ability estimator. For a specific situation it will be shown to result in a special case of a Robbins-Monro item selection procedure for adaptive testing. The linear estimator can be used for the situation of zero and perfect scores when maximum likelihood estimation fails to come up with a finite estimate. It is also possible to use this estimator to generate starting values for maximum likelihood and weighted likelihood estimation. Approximations to the expectation and variance of the linear estimator for a sequence of Robbins-Monro item selections can be determined analytically. 10acomputerized adaptive testing1 aVeerkamp, W J J  uhttp://mail.iacat.org/content/taylor-approximations-logistic-irt-models-and-their-use-adaptive-testing