Computerized adaptive tests (CAT) commonly use item selection methods that
select the item which provides maximum information at an examinee's estimat
ed trait level, However, these methods can yield extremely skewed item expo
sure distributions. For tests based on the three-parameter logistic model,
it was found that administering items with low discrimination parameter (a)
values early in the test and administering those with high a values later
was advantageous; the skewness of item exposure distributions was reduced w
hile efficiency was maintained in trait level estimation. Thus, a new multi
stage adaptive testing approach is proposed that factors a into the item se
lection process. In this approach, the items in the item bank are stratifie
d into a number of levels based on their a values. The early stages of a te
st use items with lower us and later stages use items with higher us. At ea
ch stage, items are selected according to an optimization criterion from th
e corresponding level. Simulation studies were performed to compare a-strat
ified CATs with CATs based on the Sympson-Hetter method for controlling ite
m exposure. Results indicated that this new strategy led to tests that were
well-balanced, with respect to item exposure, and efficient. The a-stratif
ied CATs achieved a lower average exposure rate than CATs based on Bayesian
or information-based item selection and the Sympson-Hetter method.