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《英语测试》作业
1.dentify thescales representedby the following kindsof data.
2.iven the following rawscore distributionon aspelling testof25items,calculate aordinal ratings,b percentagescores,c percentileranks:6,8,9,11,12,12,14,15,19,19,21,
25.
3.If youadministered amultiple-choice testof phrasalverb usageto aclass often studentsand gotthe following distributionof scores:11,13,16,16,18,20,20,25,27,29,what wouldbe thecorrespondingz-scores,T-scores,and normal distribution area proportions ifthe standard deviation is
5.
954.In anormal distribution,what proportionof thescores liebetween plusand minusone standarddeviationBetween plusand minustwo standarddeviations
5.Compute item difficulty andthe proportionincorrect foreach of the itemsin thefollowing scoringmatrix.Identify itemsfor rejection.Items1234511011121100031100110101Examinees
450100061111071100180101091100110011016.Look at thefollowingpaired scoreson listeningcomprehension Xand general proficiency Yfor tenstudents.X Y2518132115221927173116222129243322262129Compute the correlation coefficientfor thesescores.Please doa one-tailed Pearsontest todeterminewhether it is significanton thelevel ofsignificance of.
057.Nine studentshave takentwo differentaptitude testsand gotthefollowingtest result.Compute thePearsonproduct momentcorrelation coefficient.And determine whether itis significanton thelevel ofsignificance of.05Student No.010203040506070809Test A566061626567717174Test B
34266230302834364010.Please statethe difference between theclassroom testsand externaltests.
11.Make asimple clarificationon theClassical TrueScore Modeland enumerateits demerits.
12.Please writefive multiple-choice itemson somegrammatical elementstense,agreement,etc..TABLE Bz-Scores Correspondingto CumulativeArea Proportionsof theNormal DistributionzArea zArea zArea zArea-
4.
0.0000-
1.
9.
02870.
1.
53982.
1.9821-
3.
9.0001-
1.
8.
03590.
2.
57932.
2.9861-
3.
8.0001-
1.
7.
04460.
3.
61792.
3.9893-
3.
7.0001-
1.
6.
05480.
4.
65542.
4.9918-
3.
6.0002-
7.
5.
06682.
5.99380,
5.6915-
3.
5.0002-
1.
4.
08080.
6.
72572.
6.9953-
3.
4.0003-
1.
3.
09680.
7.
75802.
7.9965-
3.
3.0005-
1.
2.
11510.
8.
78812.
8.9974-
3.
2.0007-
1.
1.
13570.
9.
81592.
9.9981-
3.
1.0010-
1.
0.
15871.
0.
84133.
0.9987-
3.
0.0013-
0.
9.
18411.
1.
86433.
1.9990-
2.
9.0019-
0.
8.
21191.
2.
88493.
2.9993-
2.
8.0026-
0.
7.
24201.
3.
90323.
3.9995-
2.
7.0035-
0.
6.
27431.
4.
91923.
4.9997-
2.
6.0047-
0.
5.
30851.
5.
93323.
5.9998-
2.
5.0062-
0.
4.
34461.
6.
94523.
6.9998-
2.
4.0082-
0.
3.
38211.
7.
95543.
7.9999-
2.
3.0107-
0.
2.
42071.
8.
96413.
8.9999-
2.
2.0139-
0.
1.
46021.
9.
97133.
9.9999-
2.
1.
01790.
0.
50002.
0.
97724.
01.0000-
2.
0.0228For valuesbetween thelisted points,you mayinterpolate accordingto thefollowing example:Problem:Find theareaproportionfor az-score of
1.
473.Solution:z intervalarea intervalobserved zinterval
7.
5.
93321.473-
1.4-.9192-
1.
4.
1.
0146.073二.073_X・073x,0140=.0102F,0140A.073is lo.1as Xis to.
0140.0102+.9192=.9294,corresponds toz-score of
1.473TABLE ECritical Valuesof thePearson Product-Moment CorrelationCoefficient*Level ofsignificance forone-tailed test,
05.
025.
01.
005.0005Level ofsignificance fortwo-tailed testDf=N-
2.
10.
05.
02.
01.
0011.
9877.
9969.
9995.
99991.
00002.
9000.
9500.
9800.
9900.
99903.
8054.
8783.
9343.
9587.
99124.
7293.
8114.
8822.
9172.
97415.
6694.
7545.
8329.
8745.
95076.
6215.
7067.
7887.
8343.
92497.
5822.
6664.
7498.
7977.
89828.
5494.
6319.
7155.
7646.
87219.
5214.
6021.
6851.
7348.
847110.
4973.
5760.
6581.
7079.
823311.
4762.
5529.
6339.
6835.
801012.
4575.
5324.
6120.
6614.
780013.
4409.
5139.
5923.
6411.
760314.
4259.
4973.
5742.
6226.
742015.
4124.
4821.
5577.
6055.
724616.
4000.
4683.
5425.
5897.
708417.
3887.
4555.
5285.
5751.
693218.
3783.
4438.
5155.
5614.
678719.
3687.
4329.
5034.
5487.
665220.
3598.
4227.
4921.
5368.
652425.
3233.
3809.
4451.
4869.
59743.
2960.
3494.
4093.
4487.
554135.
2746.
3246.
3810.
4182.
518940.
2573.
3044.
3578.
3932.
489645.
2428.
2875.
3384.
3721.
464850.
2306.
2732.
3218.
3541.
443360.
2108.
2500.
2948.
3248.
407870.
1954.
2319.
2737.
3017.
379980.
1829.
2172.
2565.
2830.
356890.
1726.
2050.
2422.
2673.
3375100.
1638.
1946.
2301.
2540.
321113.What isthe differencebetween criterionreferenced testand normreferenced test
14.What iscomputerized adaptivetesting
16.How areitem difficulties,item discriminabilityrepresented initem responsetheory
15.What isitemdifficultyHow tocompute itemdifficulty
17.What generalrelationship existsbetween testreliability andthe numberof itemson thetest
18.What doesit meanif wesay acorrelation coefficientis significantat thep.05level
19.What arethe sourcesof measurementerrors inlanguage test
20.What isthe meaningof measuresof dispersion
21.List fivecommon problemsattheitem writingstage.Provide oneexample ofeach problemtype andcorrectthe itemif necessary.
22.What isthe essentialdifferencebetweenscatterplots oflow-correlated variablesand thoseofhigh-correlated variables
23.Please computethecorrelationcoefficient ofthefollowingitem anddeterminewhetheritissignificanton thelevel ofsignificanceof.05And thendetermine itsdiscriminability.Student No.12345678910111213141516Item Score
2.
5887.
5756.
573.
56.
5461.
5534.5Test Score
4968928665516073728259468070627724.In ageneralproficiencytest,mean=
95.120,standarddeviation=
10.858,please computethe z-score,T-score,normaldistributionarea proportionsofthefollowing scores:120,108,100,95,83,71,
61.。
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