本文在0-1評分的CD-CAT基礎上，拓展出了適合多級評分CD-CAT(ps CD-CAT)的認知診斷模型及選題策略，為實現多級評分CD-CAT提供了方法支持。Monte Carlo模擬實驗結果表明:本文拓展的多級評分CD-CAT具有較理想的屬性診斷正確率及測驗效率和題庫安全性，可以用于多級評分數據的CD-CAT;模擬實驗還表明，整體來看PS-PWKL和PS-HKL兩種選題策略具有較高屬性判準率、題庫安全性和高測驗效率，且均優于PS-KL選題策略。總之，本研究對于進一步拓展CD-CAT在實踐中的應用提供了認知診斷模型與選題策略等。

Cognitive diagnostic computerized adaptive testing(CD-CAT) purports to combine the strengths of both CAT and cognitive diagnosis. Currently, most CD-CAT researches focus on the dichotomous data. However there are large polytomous data in educational and psychological tests in practice. This paper proposed a new CD-CAT procedure with polytomous score, called as ps CD-CAT. The paper focused on two facets: one was to develop the item selection algorithm, parameter estimation, the polytomous cognitive diagnostic model and terminal rules for ps CD-CAT; the other one was to discuss the classification accuracy and item usage in ps CD-CAT. Monte Carlo simulation was conducted here. Two experimental conditions were simulated: the fixed test length CAT(10, 15 and 20 items respectively) and the variable test length CAT(the post probability of knowledge state was set to 0.75,0.80 and 0.85 respectively). Simulation studies showed: The classification accuracy, test security and test efficiency under ps CD-CAT were all acceptable and reasonable. Whenever under fixed or variable length conditions, PS-PWKL and PS-HKL item selection strategies had high classification accuracy, test security and test efficiency. However, PS-KL item selection strategy had low classification accuracy under fixed variable length conditions and had low test security and test efficiency under variable length conditions. Contract to the random item selection, PS-PWKL and PS-HKL algorithm should be improved to control the item exposure. In conclusion, the proposed ps CD-CAT by this paper had overcame the shortcomings stemmed from dichotomously scored CD-CAT, thus they might expect a good prospect and application. And it provided a kind of new methods and techniques in cognitive diagnosis, which might extended the applicable area.