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1、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 dentify the scales represented by the following kinds of data.2 iven the following raw score distribution on a spelling test of 25 items, calculate (a) ordinal ratings, (b) percentage scores, (c) percentile ranks: 6, 8, 9, 11, 12, 12, 14, 15, 19, 19,
2、21, 25.3 If you administered a multiple-choice test of phrasal verb usage to a class of ten students and got the following distribution of scores: 11, 13, 16, 16, 18, 20, 20, 25, 27, 29, what would be the corresponding z-scores, T-scores, and normal distribution area proportions if the standard devi
3、ation is 5.95?4 In a normal distribution, what proportion of the scores lie between plus and minus one standard deviation? Between plus and minus two standard deviations?5 Compute item difficultyand the proportion incorrect for each of the items in the following scoringmatrix. Identify items for rej
4、ection.Items1234110112110031100Examinees 4101050100611117110080101911001001106 Look at the followingpaired scoreson listeningten students.XY2518132115221927173116222129243351011001011comprehension (X) and general proficiency (Y) for22 26 21 29Compute the correlation coefficient for these scores. Ple
5、ase do a one-tailed Pearson test to determine whether it is significant on the level of significance of <.05?7 Nine students have taken two different aptitude tests and got the following test result. Compute the Pearson product moment correlation coefficient. And determine whether it is significa
6、nt on the level of significance of <.05?Student No. 010203040506070809Test A 566061626567717174Test B 3426623030283436408 Look at the following scoring matrix for twenty students:ItemStudent12345Score1101114211001330101024010012511110461101147101013801011391101141011010311001012120101131311010314
7、110013151111151601001217011103181001131901011320111115Compute the point biserial correlation coefficient for each of the five items with total score.9 What do we mean by correlation in statistics?10 Please state the difference between the classroom tests and external tests.11 Make a simple clarifica
8、tion on the Classical True Score Model and enumerate its demerits. 第 2 页 共 6 页12 Please write five multiple-choice items on some grammatical elements (tense, agreement, etc.).TABLE B z-Scores Corresponding to Cumulative Area Proportions of the Normal DistributionzAreazAreazAreazArea-4.0.0000-1.9.028
9、70.1.53982.1.9821-3.9.0001 -1.8.03590.2.57932.2.9861-3.8.0001 -1.7.04460.3.61792.3.9893-3.7.0001 -1.6.05480.4.65542.4.99183.6.0002 -1.5.06680.5.69152.5.9938-3.5.0002 -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 -1.1.13570.9.81592.9.99813.1.0
10、010 -1.0.15871.0.84133.0.99873.0.0013 -0.9.18411.1.86433.1.9990-2.9.0019 -0.8.21191.2.88493.2.9993-2.8.0026 -0.7.24201.3.90323.3.99952.7.0035 -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 -0.3.38211.7.95543.7.99992.3.0107 -0.2.42071.8.96413.
11、8.99992.2.0139 - 0.1.46021.9.97133.9.9999-2.1.01790.0.50002.0.97724.01.0000-2.0 .0228For values between the listed points, you may interpolate according to the following example:Problem: Find the area proportion for a z-score of 1.473. Solution: z interval area interval observed z interval1.5.93321.
12、4731.4-.9192- 1.4.1.0146.073.073 is to .1 as X is to .0140.073.1.0140,X.073 .0140.1.0102.0102 + .9192 = .9294, corresponds to z-score of 1.473TABLE E Critical Values of the Pearson Product-Moment Correlation Coefficient*Level of significance for one-tailed test.05 .025 .01 .005 .0005Level of signifi
13、cance for two-tailed testDf=N - 2.10.05.02.01.0011.9877.9969.9995.99991.00002.9000.9500.9800.9900.99903.8054.8783.9343.9587.99124.7293.8114.8822.9172.97415.6694.7545.8329.8745.95076.6215.7067.7887.8343.92497.5822.6664.7498.7977.89828.5494.6319.7155.7646.87219.5214.6021.6851.7348.847110.4973.5760.658
14、1.7079.823311.4762.5529.6339.6835.801012.4575.5324.6120.6614.780013.4409.5139.5923.6411.760314.4259.4973.5742.6226.742015.4124.4821.5577.6055.724616.4000.4683.5425.5897.708417.3887.4555.5285.5751.693218.3783.4438.5155.5614.678719.3687.4329.5034.5487.665220.3598.4227.4921.5368.652425.3233.3809.4451.4
15、869.597430.2960.3494.4093.4487.554135.2746.3246.3810.4182.518940.2573.3044.3578.3932.489645.2428.2875.3384.3721.464850.2306.2732.3218.3541.443360.2108.2500.2948.3248.407870.1954.2319.2737.3017.379980.1829.2172.2565.2830.356890.1726.2050.2422.2673.3375100.1638.1946.2301.2540.321113 What is the differ
16、ence between criterion referenced test and norm referenced test?14 What is computerized adaptive testing?15 What is item difficulty? How to compute item difficulty?16 How are item difficulties, item discriminability represented in item response theory?17 What general relationship exists between test
17、 reliability and the number of items on the test?18 What does it mean if we say a correlation coefficient is significant at the p <.05 level?19 What are the sources of measurement errors in language test?20 What is the meaning of measures of dispersion?21 List five common problems at the item wri
18、ting stage. Provide one example of each problem type and correct the item if necessary.22 What is the essential difference between scatterplots of low-correlated variables and those of high-correlated variables?23 Please compute the correlation coefficient of the following item and determine whether
19、 it is significant on the level of significance of <.05? And then determine its discriminability.Student No.12345678910111213141516Item Score2.5887.5756.573.56.5461.5534.5Test Score4968928665516073728259468070627724 In a general proficiency test, mean=95.120, standard deviation=10.858, please compute the z-score, T-score, normal distribution area proportions of the following scores: 120, 108, 100, 95, 83, 71, 61.