【渝粤题库】陕西师范大学200531 英语测试 作业（高起本、专升本）
《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, © percentile ranks: 6, 8, 9, 11, 12, 12, 14, 15, 19, 19, 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 deviation 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 difficulty and the proportion incorrect for each of the items in the following scoring matrix. Identify items for rejection.
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 1
6．Look at the following paired scores on listening comprehension (X) and general proficiency (Y) for ten students.
X Y
25 18
13 21
15 22
19 27
17 31
16 22
21 29
24 33
22 26
21 29
Compute the correlation coefficient for these scores. Please 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 significant on the level of significance of <.05?
Student No. 01 02 03 04 05 06 07 08 09
Test A 56 60 61 62 65 67 71 71 74
Test B 34 26 62 30 30 28 34 36 40
8．Look at the following scoring matrix for twenty students:
Compute 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 clarification on the Classical True Score Model and enumerate its demerits.
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 Distribution
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 .0228
For 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 interval
1.5 .9332 1.473
- 1.4 -.9192 - 1.4
.1 .0146 .073
.073 is to .1 as X is to .0140
,
.0102 + .9192 = .9294, corresponds to z-score of 1.473
TABLE E Critical Values of the Pearson Product-Moment Correlation Coefficient*
Level of significance for one-tailed test
.05 .025 .01 .005 .0005
Level of significance for two-tailed test
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 .95076 .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 .823311 .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 .724616 .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 .652425 .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 .464850 .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 .3211
13．What is the difference 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 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 writing 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 it is significant on the level of significance of <.05? And then determine its discriminability.
24．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.
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