Computer-Adaptive Testing Algorithm
As mentioned in yesterday’s post, there are three main types of statistics required of all items in an item bank –
Computer adaptive testing (“CAT”) can begin when such an item bank exists. However, two more steps are required. First, the test-maker needs to select a procedure for determining test-takers’ ability estimates based upon their performance on the tested items. Second, the test-maker needs to choose an algorithm for sequencing the set of test items to be administered to test-takers.
An ideal item pool for a computer adaptive test would be one with a large number of highly discriminating items well distributed at each ability level. The information functions for these items would appear as a series of peaked distributions across all levels of ability estimate.
The CAT algorithm is usually an iterative process with the following steps:
We will continue with our analysis on the GMAT CAT scoring system tomorrow.
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