《英语测试》题库及答案
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, 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．
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
0140
.1.073.X
=,0102.1.0140.073.=⨯=
X .0102 + .9192 = .9294, corresponds to z-score of 1.473
