江西师范大学学报(自然科学版)
江西師範大學學報(自然科學版)
강서사범대학학보(자연과학판)
JOURNAL OF JIANGXI NORMAL UNIVERSITY(NATURAL SCIENCES EDITION)
2015年
4期
365-370
,共6页
丁树良%汪文义%罗芬%熊建华
丁樹良%汪文義%囉芬%熊建華
정수량%왕문의%라분%웅건화
多值Q矩阵%Q矩阵理论%扩张算法%认知诊断测验蓝图
多值Q矩陣%Q矩陣理論%擴張算法%認知診斷測驗藍圖
다치Q구진%Q구진이론%확장산법%인지진단측험람도
polytomous Q-matrix%Q-matrix theory:expansion algorithm%test blueprint of diagnostic testing
罗列了特殊多值Q矩阵与0-1可达阵的相互转换算法,给出多值扩张算法和多值理想反应模式的计算方法。在多值扩张算法的基础上,证明了在一定条件下,多值拟可达阵作为测验Q矩阵的子矩阵,可以使得多值的知识状态和理想反应模式一一对应,从而可指导多级评分认知诊断测验蓝图编制。
囉列瞭特殊多值Q矩陣與0-1可達陣的相互轉換算法,給齣多值擴張算法和多值理想反應模式的計算方法。在多值擴張算法的基礎上,證明瞭在一定條件下,多值擬可達陣作為測驗Q矩陣的子矩陣,可以使得多值的知識狀態和理想反應模式一一對應,從而可指導多級評分認知診斷測驗藍圖編製。
라렬료특수다치Q구진여0-1가체진적상호전환산법,급출다치확장산법화다치이상반응모식적계산방법。재다치확장산법적기출상,증명료재일정조건하,다치의가체진작위측험Q구진적자구진,가이사득다치적지식상태화이상반응모식일일대응,종이가지도다급평분인지진단측험람도편제。
An algorithm to make the translation from the polytomous quasi-reachability matrix( Rp )to a dichoto-mous reachability matrix( R2 )has been given. An expansion algorithm of Rp and a method to compute polytomous ideal response patterns( PIRP)are also provided under the polytomous Q-matrix. Given certain item scoring rules proposed by Sun Jia'nan,et al,the statement that the Rp matrix can be used as the submatrix of the polytomous Q-matrix to guarantee bijective mapping from the set of PIRP to the set of the polytomous knowledge states has been proved. This statement has not been proved in the study of Sun Jia'nan.