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第1页共1页在您完成作业过程中,如有疑难,请登录学院网站“辅导答疑”栏目,与老师进行交流讨论!《英语测试》作业1.dentifythescalesrepresentedbythefollowingkindsofdata.2.iventhefollowingrawscoredistributiononaspellingtestof25items,calculate(a)ordinalratings,(b)percentagescores,(c)percentileranks:6,8,9,11,12,12,14,15,19,19,21,25.3.Ifyouadministeredamultiple-choicetestofphrasalverbusagetoaclassoftenstudentsandgotthefollowingdistributionofscores:11,13,16,16,18,20,20,25,27,29,whatwouldbethecorrespondingz-scores,T-scores,andnormaldistributionareaproportionsifthestandarddeviationis5.95?4.Inanormaldistribution,whatproportionofthescoresliebetweenplusandminusonestandarddeviation?Betweenplusandminustwostandarddeviations?5.Computeitemdifficultyandtheproportionincorrectforeachoftheitemsinthefollowingscoringmatrix.Identifyitemsforrejection.Items 1 2 3 4 5 1 1 0 1 1 1 2 1 1 0 0 0 3 1 1 0 0 1 Examinees 4 1 0 1 0 1 5 0 1 0 0 0 6 1 1 1 1 0 7 1 1 0 0 1 8 0 1 0 1 0 9 1 1 0 0 1 10 0 1 1 0 16.Lookatthefollowingpairedscoresonlisteningcomprehension(X)andgeneralproficiency(Y)fortenstudents. X Y 25 18 13 21 15 22 19 27 17 31 16 22 21 29 24 33 22 26 21 29Computethecorrelationcoefficientforthesescores.Pleasedoaone-tailedPearsontesttodeterminewhetheritissignificantonthelevelofsignificanceof<.05?7.Ninestudentshavetakentwodifferentaptitudetestsandgotthefollowingtestresult.ComputethePearsonproductmomentcorrelationcoefficient.Anddeterminewhetheritissignificantonthelevelofsignificanceof<.05?StudentNo. 01 02 03 04 05 06 07 08 09TestA 56 60 61 62 65 67 71 71 74TestB 34 26 62 30 30 28 34 36 408.Lookatthefollowingscoringmatrixfortwentystudents:ItemStudent12345Score110111=SUM(LEFT)4211001=SUM(LEFT)3301010=SUM(LEFT)2401001=SUM(LEFT)2511110=SUM(LEFT)4611011=SUM(LEFT)4710101=SUM(LEFT)3801011=SUM(LEFT)3911011=SUM(LEFT)41011010=SUM(LEFT)31100101=SUM(LEFT)21201011=SUM(LEFT)31311010=SUM(LEFT)31411001=SUM(LEFT)31511111=SUM(LEFT)51601001=SUM(LEFT)21701110=SUM(LEFT)31810011=SUM(LEFT)31901011=SUM(LEFT)32011111=SUM(LEFT)5Computethepointbiserialcorrelationcoefficientforeachofthefiveitemswithtotalscore.9.Whatdowemeanbycorrelationinstatistics?10.Pleasestatethedifferencebetweentheclassroomtestsandexternaltests.11.MakeasimpleclarificationontheClassicalTrueScoreModelandenumerateitsdemerits.12.Pleasewritefivemultiple-choiceitemsonsomegrammaticalelements(tense,agreement,etc.).
TABLEBz-ScoresCorrespondingtoCumulativeAreaProportionsoftheNormalDistribution z Area z Area z Area z Area -4.0 .0000 -1.9 .0287 0.1 .5398 2.1 .9821 -3.9 .0001 -1.8 .0359 0.2 .5793 2.2 .9861 -3.8 .0001 -1.7 .0446 0.3 .6179 2.3 .9893 -3.7 .0001 -1.6 .0548 0.4 .6554 2.4 .9918 -3.6 .0002 -1.5 .0668 0.5 .6915 2.5 .9938 -3.5 .0002 -1.4 .0808 0.6 .7257 2.6 .9953 -3.4 .0003 -1.3 .0968 0.7 .7580 2.7 .9965 -3.3 .0005 -1.2 .1151 0.8 .7881 2.8 .9974 -3.2 .0007 -1.1 .1357 0.9 .8159 2.9 .9981 -3.1 .0010 -1.0 .1587 1.0 .8413 3.0 .9987 -3.0 .0013 -0.9 .1841 1.1 .8643 3.1 .9990 -2.9 .0019 -0.8 .2119 1.2 .8849 3.2 .9993 -2.8 .0026 -0.7 .2420 1.3 .9032 3.3 .9995 -2.7 .0035 -0.6 .2743 1.4 .9192 3.4 .9997 -2.6 .0047 -0.5 .3085 1.5 .9332 3.5 .9998 -2.5 .0062 -0.4 .3446 1.6 .9452 3.6 .9998 -2.4 .0082 -0.3 .3821 1.7 .9554 3.7 .9999 -2.3 .0107 -0.2 .4207 1.8 .9641 3.8 .9999 -2.2 .0139 -0.1 .4602 1.9 .9713 3.9 .9999 -2.1 .0179 0.0 .5000 2.0 .9772 4.0 1.0000 -2.0 .0228Forvaluesbetweenthelistedpoints,youmayinterpolateaccordingtothefollowingexample:Problem: Findtheareaproportionforaz-scoreof1.473.Solution: zinterval areainterval observedzinterval 1.5 .9332 1.473 -1.4 -.9192 -1.4 .1 .0146 .073.073isto.1asXisto.0140,.0102+.9192=.9294,correspondstoz-scoreof1.473
TABLEECriticalValuesofthePearsonProduct-MomentCorrelationCoefficient* Levelofsignificanceforone-tailedtest .05 .025 .01 .005 .0005 Levelofsignificancefortwo-tailedtest Df=N -2 .10 .05 .02 .01 .001 1 .9877 .9969 .9995 .9999 1.0000 2 .9000 .9500 .9800 .9900 .9990 3 .8054 .8783 .9343 .9587 .9912 4 .7293 .8114 .8822 .9172 .9741 5 .6694 .7545 .8329 .8745 .9507 6 .6215 .7067 .7887 .8343 .9249 7 .5822 .6664 .7498 .7977 .8982 8 .5494 .6319 .7155 .7646 .8721 9 .5214 .6021 .6851 .7348 .8471 10 .4973 .5760 .6581 .7079 .8233 11 .4762 .5529 .6339 .6835 .8010 12 .4575 .5324 .6120 .6614 .7800 13 .4409 .5139 .5923 .6411 .7603 14 .4259 .4973 .5742 .6226 .7420 15 .4124 .4821 .5577 .6055 .7246 16 .4000 .4683 .5425 .5897 .7084 17 .3887 .4555 .5285 .5751 .6932 18 .3783 .4438 .5155 .5614 .6787 19 .3687 .4329 .5034 .5487 .6652 20 .3598 .4227 .4921 .5368 .6524 25 .3233 .3809 .4451 .4869 .5974 30 .2960 .3494 .4093 .4487 .5541 35 .2746 .3246 .3810 .4182 .5189 40 .2573 .3044 .3578 .3932 .4896 45 .2428 .2875 .3384 .3721 .4648 50 .2306 .2732 .3218 .3541 .4433 60 .2108 .2500 .2948 .3248 .4078 70 .1954 .2319 .2737 .3017 .3799 80 .1829 .2172 .2565 .2830 .3568 90 .1726 .2050 .2422 .2673 .3375 100 .1638 .1946 .2301 .2540 .321113.Whatisthedifferencebetweencriterionreferencedtestandnormreferencedtest?14.Whatiscomputerizedadaptivetesting?15.Whatisitemdifficulty?Howtocomputeitemdifficulty?16.Howareitemdifficulties,itemdiscriminabilityrepresentedinitemresponsetheory?17.Whatgeneralrelationshipexistsbetweentestreliabilityandthenumberofitemsonthetest?18.Whatdoesitmeanifwesayacorrelationcoefficientissignificantatthep<.05level?19.Whatarethesourcesofmeasurementerrorsinlanguagetest?20.Whatisthemeaningofmeasuresofdispersion?21.Listfivecommonproblemsattheitemwritingstage.Provideoneexampleofeachproblemtypeandcor
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