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单击此处编辑母版标题样式,单击此处编辑母版文本样式,第二级,第三级,第四级,第五级,*,项目反应理论简介,华东师范大学心理系,文 剑 冰,项目反应理论简介华东师范大学心理系,1,经典测量理论(CTT),经典测量理论的假设,XTE,经典测量理论的信度,经典测量理论的效度,经典测量理论的试题参数,经典测量理论的测验编制,经典测量理论(CTT)经典测量理论的假设,2,经典测量理论的假设,观察分数真分数误差分数,XTE,观察分数与误差分数之间互相独立,误差分数的平均数为0,多次测量的误差分数之间相关为0,经典测量理论的假设观察分数真分数误差分数,3,经典测量理论的信度,信度的概念,“真实分数方差在观测分数方差中所占的比率”,信度系数的估计方法,重测信度(稳定性系数),复本信度(等值性系数),内部一致性信度,评分者信度,信度系数的应用,经典测量理论的信度信度的概念,4,经典测量理论的试题参数,难度指标(通过率或得分率P值),区分度指标(鉴别力指数D或相关系数r),D P,H,P,L,经典测量理论的试题参数难度指标(通过率或得分率P值),5,经典测量理论的测验编制,假设被试的特质是正态分布,从而测验总分的分布也是正态,测验分数尽可能区分被试,因此测验总分的变异程度越大越好,测验中试题的难度中等为好,区分度越大越好,经典测量理论的测验编制假设被试的特质是正态分布,从而测验总分,6,经典测量理论的缺陷,参数依赖于样本,能力量表与难度量表不统一,对于所有被试的测量误差相等,无法反应潜在特质与被试作答之间的关系,在测验编制问题上的困惑,经典测量理论的缺陷 参数依赖于样本,7,准备知识,标准分数,Z0,高于平均,Z0,低于平均,P(-1.96Z1.96)=0.950,P(-3ZCOMMENT,GLOBAL DFN=C:YAN2.DAT,NIDW=5,NPARM=2,SAVE;,SAVE SCO=YAN2.SCO,PARM=YAN2.PAR,TST=YAN2.TST,IST=YAN2.IST;,LENGTH NITEMS=(80);,INPUT NTOT=80,NALT=4,KFN=KEY.TXT,OFN=OMIT.TXT;,(5A1,80A1),CALIB NQPT=40,CYC=100,NEW=30,CRIT=.001,PLOT=0;,SCORE MET=2,IDIST=0,RSC=0,INF=1;,Title line,BILOG 程序文件(*.BLM)IRT calibrat,42,BILOG 程序文件(*.BLM),IRT calibration of chinese and maths score.,COMMENT,GLOBAL,DFN,=C:YAN2.DAT,NIDW,=5,NPARM,=2,SAVE,;,SAVE SCO=YAN2.SCO,PARM=YAN2.PAR,TST=YAN2.TST,IST=YAN2.IST;,LENGTH NITEMS=(80);,INPUT NTOT=80,NALT=4,KFN=KEY.TXT,OFN=OMIT.TXT;,(5A1,80A1),CALIB NQPT=40,CYC=100,NEW=30,CRIT=.001,PLOT=0;,SCORE MET=2,IDIST=0,RSC=0,INF=1;,数据文件名,个人ID位数,模型参数个数,保存外部文件,BILOG 程序文件(*.BLM)IRT calibrat,43,BILOG 程序文件(*.BLM),IRT calibration of chinese and maths score.,COMMENT,GLOBAL DFN=C:YAN2.DAT,NIDW=5,NPARM=2,SAVE;,SAVE,SCO,=YAN2.SCO,PARM,=YAN2.PAR,TST,=YAN2.TST,IST,=YAN2.IST;,LENGTH NITEMS=(80);,INPUT NTOT=80,NALT=4,KFN=KEY.TXT,OFN=OMIT.TXT;,(5A1,80A1),CALIB NQPT=40,CYC=100,NEW=30,CRIT=.001,PLOT=0;,SCORE MET=2,IDIST=0,RSC=0,INF=1;,保存试题参数,被试参数,CTT结果,测验信息函数,BILOG 程序文件(*.BLM)IRT calibrat,44,BILOG 程序文件(*.BLM),IRT calibration of chinese and maths score.,COMMENT,GLOBAL DFN=C:YAN2.DAT,NIDW=5,NPARM=2,SAVE;,SAVE SCO=YAN2.SCO,PARM=YAN2.PAR,TST=YAN2.TST,IST=YAN2.IST;,LENGTH,NITEMS,=(80);,INPUT NTOT=80,NALT=4,KFN=KEY.TXT,OFN=OMIT.TXT;,(5A1,80A1),CALIB NQPT=40,CYC=100,NEW=30,CRIT=.001,PLOT=0;,SCORE MET=2,IDIST=0,RSC=0,INF=1;,(分)测验题数,BILOG 程序文件(*.BLM)IRT calibrat,45,BILOG 程序文件(*.BLM),IRT calibration of chinese and maths score.,COMMENT,GLOBAL DFN=C:YAN2.DAT,NIDW=5,NPARM=2,SAVE;,SAVE SCO=YAN2.SCO,PARM=YAN2.PAR,TST=YAN2.TST,IST=YAN2.IST;,LENGTH NITEMS=(80);,INPUT,NTOT,=80,NALT,=4,KFN,=KEY.TXT,OFN,=OMIT.TXT;,(5A1,80A1),CALIB NQPT=40,CYC=100,NEW=30,CRIT=.001,PLOT=0;,SCORE MET=2,IDIST=0,RSC=0,INF=1;,omit文件名,总题数,选项个数,标准答案文件名,BILOG 程序文件(*.BLM)IRT calibrat,46,BILOG 程序文件(*.BLM),IRT calibration of chinese and maths score.,COMMENT,GLOBAL DFN=C:YAN2.DAT,NIDW=5,NPARM=2,SAVE;,SAVE SCO=YAN2.SCO,PARM=YAN2.PAR,TST=YAN2.TST,IST=YAN2.IST;,LENGTH NITEMS=(80);,INPUT NTOT=80,NALT=4,KFN=KEY.TXT,OFN=OMIT.TXT;,(5A1,80A1),CALIB NQPT=40,CYC=100,NEW=30,CRIT=.001,PLOT=0;,SCORE MET=2,IDIST=0,RSC=0,INF=1;,FORTRAN 语言,读数据的格式A,X,T,I,/,BILOG 程序文件(*.BLM)IRT calibrat,47,BILOG 程序文件(*.BLM),IRT calibration of chinese and maths score.,COMMENT,GLOBAL DFN=C:YAN2.DAT,NIDW=5,NPARM=2,SAVE;,SAVE SCO=YAN2.SCO,PARM=YAN2.PAR,TST=YAN2.TST,IST=YAN2.IST;,LENGTH NITEMS=(80);,INPUT NTOT=80,NALT=4,KFN=KEY.TXT,OFN=OMIT.TXT;,(5A1,80A1),CALIB,NQPT,=40,CYC,=100,NEW,=30,CRIT,=.001,PLOT,=0;,SCORE MET=2,IDIST=0,RSC=0,INF=1;,试题参数估计时的设定,画出拟合度差(pCOMMENT,GLOBAL DFN=C:YAN2.DAT,NIDW=5,NPARM=2,SAVE;,SAVE SCO=YAN2.SCO,PARM=YAN2.PAR,TST=YAN2.TST,IST=YAN2.IST;,LENGTH NITEMS=(80);,INPUT NTOT=80,NALT=4,KFN=KEY.TXT,OFN=OMIT.TXT;,(5A1,80A1),CALIB NQPT=40,CYC=100,NEW=30,CRIT=.001,PLOT=0;,SCORE,MET,=2,IDIST,=0,RSC,=0,INF,=1;,被试能力估计时的设定,1-ML,2-EAP(缺省),3-MAP,0-不做重新标刻(缺省),1-按scale和location线性变换,3-按样本的L和S重新标刻,3-EAP时潜变量以L为均数S为标准差,测验信息曲线,BILOG 程序文件(*.BLM)IRT calibrat,49,BILOG 结果文件(*.PH1),ITEM STATISTICS FOR SUBTEST TEST0001,ITEM*TEST CORRELATION,ITEM NAME#TRIED#RIGHT PCT LOGIT PEARSON BISERIAL,-,1 ITEM0001 480.0 395.0 82.3 -1.54 0.318 0.468,2 ITEM0002 480.0 357.0 74.4 -1.07 0.306 0.415,3 ITEM0003 480.0 444.0 92.5 -2.51 0.252 0.469,4 ITEM0004 480.0 321.0 66.9 -0.70 0.468 0.608,5 ITEM0005 480.0 292.0 60.8 -0.44 0.119 0.151,6 ITEM0006 480.0 265.0 55.2 -0.21 0.162 0.204,7 ITEM0007 480.0 315.0 65.6 -0.65 0.288 0.372,8 ITEM0008 480.0 247.0 51.5 -0.06 0.391 0.490,9 ITEM0009 480.0 178.0 37.1 0.53 0.128 0.163,10 ITEM0010 480.0 253.0 52.7 -0.11 0.406 0.509,CTT的试题参数,Ln(1-p)/p,BILOG 结果文件(*.PH1)ITEM STATIS,50,BILOG 结果文件(*.PH2),CYCLE 15;LARGEST CHANGE=0.00007,SUBTEST TEST0001;ITEM PARAMETERS AFTER CYCLE 15,ITEM INTERCEPT SLOPE THRESHOLD LOADING ASYMPTOTE CHISQ DF,S.E.S.E.S.E.S.E.S.E.(PROB),-,ITEM0001|1.785|0.922|-1.936|0.678|0.000|2.2 8.0,|0.147*|0.146*|0.265*|0.107*|0.000*|(0.9758),|,ITEM0002|1.214|0.816|-1.487|0.632|0.000|3.4 9.0,|0.118*|0.124*|0.224*|0.096*|0.000*|(0.9469),|,IRT的试题参数,-Slope*threshold,Slope/sqrt(1+slope2),BILOG 结果文件(*.PH2)CYCLE 1,51,BILOG 结果文件(*.PH3),GROUP SUBJECT IDENTIFICATION MARGINAL,WEIGHT TEST TRIED RIGHT PERCENT ABILITY S.E.PROB,-,1 11|,1.00 TEST0001 80 46 57.50|-0.4595 0.1175|0.00,1 12|,1.00 TEST0001 80 46 57.50|-0.5095 0.2318|0.00,1 13|,1.00 TEST0001 80 28 35.00|-1.7741 0.4445|0.00,1 14|,1.00 TEST0001 80 58 72.50|-0.2157 0.3886|0.00,1 15|,1.00 TEST0001 80 57 71.25|0.0378 0.4430|0.00,1 16|,1.00 TEST0001 80 20 25.00|-2.2754 0.2127|0.00,1 17|,1.00 TEST0001 80 63 78.75|0.4364 0.1461|0.00,1 18|,1.00 TEST0001 80 65 81.25|0.5205 0.2539|0.00,被试的能力参数,BILOG 结果文件(*.PH3)GROUP SUB,52,试题参数文件,(*.PAR),BILOG,保存的外部文件,试题参数文件,(*.PAR),被试能力估计文件(*.SCO),数据格式与PH2和PH3文件中基本相同,试题参数文件(*.PAR)BILOG保存的外部文件,53,
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