Scoring Method Based on IRT Models with Auxiliary Information and Optimal Sequencing of Test Items for CAI

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Several new models in item Response Theory and methods for optimal sequencing of test items were proposed.1. Dividing subjects' cognitive process into three kinds ; (a) full , knowledge, (b) partial knowledge and (c) ignorance, a new item response model was proposed and applied to Japanese vocabulary test.2. Based on the above model, a statistical procedure was developed to classify masters and non-masters.3. A new procedure for the optimal sequencing of test items was developed, which takes into account the item information amount and the subjects' mastery level.4. Another new item response model which has two criterion variables, namely, correct/wrong response and "confident or not" response was proposed so that the items or subjects could be described by several aspects.5. A new item response model with the time limit as auxiliary information was proposed.6. All above models can be considered as latent variables models. Some Statistical problems common in these models were discussed.