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《英语测试》作业参考答案

《英语测试》作业参考答案
《英语测试》作业参考答案

《英语测试》作业参考答案

1.Identify the scales represented by the following kinds of data:

Solution:

Raw scores from a listening comprehension test Ordinal scale

Adjectives on a word-association test Nominal scale

Percentile scores from a spelling test Ordinal scale

Speed of note-taking in words per minute Ratio scale

I.Q.-equivalent scores on a vocabulary test Interval scale

z-scores on the TOEFL Interval scale

The number of instrumentally motivated students in class Nominal scale

2.Given 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.

Solution:

Raw scores Ordinal ratings Percentage Scores Percentile Ranks

25 1st 100 95.8

21 2nd 84 87.5

19 3rd 76 75.0

19 4th 76 75.0

15 5th 60 62.5

14 6th 56 54.2

12 7th 48 41.7

12 8th 48 41.7

11 9th 44 29.2

9 10th 36 20.8

8 11th 32 12.5

6 12th 24 4.2

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?

Solution:

Raw

scores z-scores T-scores Normal distribution area proportions

29 1.597 65.97 94.49

27 1.261 62.61 89.63

25 0.925 59.25 82.24

20 0.084 50.84 53.35

20 0.084 50.84 53.35

18 -0.252 47.48 40.05

16 -0.588 44.12 27.81

16 -0.588 44.12 27.81

13 -1.093 39.07 13.73

11 -1.429 35.71 7.65

4In a normal distribution, what proportion of the scores lie between plus and minus one standard deviation? Between plus and minus two standard deviations?

Solution:

In a normal distribution, 68.3% of scores lie between plus and minus one standard deviation;

95.5% of scores lie between plus and minus two standard deviation.

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

Examinees4 1 0 1 0 1

5 0 1 0 0 0

6 1 1 1 1 0

8 0 1 0 1 0

9 1 1 0 0 1

10 0 1 1 0 1

Solution:

Item 1 2 3 4 5

Difficulty 0.7 0.8 0.4 0.3 0.6

Proportion incorrect 0.3 0.2 0.6 0.7 0.4

Items 2 and 4 can be rejected, because it seems that item 2 is too easy and item 4 is too difficult.

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?

Solution:

r=0.273.

The critical value for Pearson’ r of the significance of <.05, one tailed test when the degree of freedom equals to 8 is

0.5494. Since r=0.273<0.5494, it is not significant.

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

Solution:

r=-0.0176.

Critical value is 0.6664. And r=-0.0176<0.6664, so it is not statistically significant.

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.

Solution:

Item One: 0.639

Item Two: 0.112

Item Three: 0.422

Item Four: 0.512

Item Five: 0.129

9.What do we mean by correlation in statistics?

Solution:

Correlation is a statistical relation between two or more variables such that systematic changes in the value of one variable are accompanied by systematic changes in the other. Generally, correlation does not suggest cause-effect relationship.

10.Please state the difference between the classroom tests and external tests.

Solution:

The aim of the classroom test is different from that of the external examination. External examinations are generally concerned with evaluation for the purpose of selection, the classroom test is concerned with evaluation for the purpose of enabling teachers to increase their own effectiveness by making adjustments in their teaching to enable certain groups of students or individuals in the class to benefit more.

11.Make a simple clarification on the Classical T rue Score Model and enumerate its demerits.

Solution:

The classical theory is the earliest theory of measurement. The classical theory is also referred to as the classical reliability theory because its major task is to estimate the reliability of the observed scores of a test. That is, it attempts to estimate the strength of the relationship between the observed score and the true score. It is also sometimes referred to as the true score theory because its theoretical derivations are based on a mathematical model known as the true score model. In a testing situation, we first devise a scaling rule to change a set of responses into a numerical observed score. Next we infer that the observed score faithfully reflects a true score. Finally, we infer that the true score truthfully reflects the quantity of a construct, which may or may not exit.

Classical True Score Model has the following demerits: 1) the values of commonly used item statistics in test development such as item difficulty and item discrimination depend on the particular examinee samples in which they are obtained; 2) comparisons of examinees on an ability measured by a set of test items comprising a test are limited to situations in which examinees are administered the same (or parallel) test items; 3) one of the fundamental concepts, test reliability, is defined in terms of parallel forms; 4) it provides no basis for determining how an examinee might perform when confronted with a test item; 5) it presumes that the variance of errors of measurement is the same for all examinees.

12.Please write five multiple-choice items on some grammatical elements (tense, agreement, etc.).

Omitted.

13.What is the difference between criterion referenced test and norm referenced test?

Solution:

Characteristically criterion-referenced tests are devised before the instruction itself is designed. The test must match teaching objectives perfectly, so that any tendency of the teacher to “teach to the test” would be permissible in that attaining objectives would thereby be assured. A criterion or cut-off score is set in advance (usually 80 to 90 percent of the total possible score), and those who do not meet the criterion are required to repeat the course.

Students are not evaluated by comparison with the achievement of other students, but instead their achievement is measured with respect to the degree of their learning or mastery of the prespecified content domain.

Norm-referenced or standardized tests are quite different from criterion-referenced tests in a number of respects;

although, once again, some of the identical items may be used under certain conditions. By definition, a norm-referenced test must have been previously administered to a large sample of people from the target population

(e.g., 1,000 or more). Acceptable standards of achievement can only be determined after the test has been

developed and administered. Such standards are found by reference to the mean or average score of other students from the same population.

14.What is computerized adaptive testing?

Solution:

Adaptive testing, or computer adaptive testing, is a process of test administration in which test items are selected on the basis of the examinee’s response to previously administered items. Most commonly, such an approach would, for an examinee who experiences success with a given item, result in the purposeful presentation of an item of greater difficulty. The examinee who experienced failure with a given item would next encounter an item of lower difficulty. With each response, the computer makes a revised estimate of the examinee's ability; each revived estimate becomes more reliable. The test is terminated when the estimate reaches a specified level of reliability. We can say that computerized adaptive testing takes as its theoretical basis the Item Response Theory (IRT) or the latent trait theory, which makes the general assumption that examinee performance on a pool of test items is assumed to depend on a limited number of psychological traits called abilities. 15.What is item difficulty? How to compute item difficulty? Solution:

Item difficulty is determined as the proportion of correct responses, signified by the letter “p”. The formula for item difficulty then is

N

C p r

∑=

where, p = difficulty, proportion correct,

∑C r = the sum of correct responses, N = the number of examinees.

16.How are item difficulty , item discriminability represented in item response theory? Solution:

The idea of item difficulty as a location index will be examined first. In Figure 1, three item characteristic curves are presented on the same graph. All have the same level of discrimination but differ with respect to difficulty. The lefthand curve represents an easy item because the probability of correct response is high for low-ability examinees and approaches 1 for high-ability examinees. The center curve represents an item of medium difficulty because the probability of correct response is low at the lowest ability levels, around .5 in the middle of the ability s cale and near 1 at the highest ability levels. The righthand curve represents a hard item. The probability of correct response is low for most of the ability scale and increases only when the higher ability levels are reached. Even at the highest ability level shown (+3), the probability of correct response is only .8 for the most difficult item.

The concept of discrimination is illustrated in Figure 2. This figure contains three item characteristic curves having the same difficulty level but differing with respect to discrimination. The upper curve has a high level of discrimination since the curve is quite steep in the middle where the probability of correct response changes very rapidly as ability increases. Just a short distance to the left of the middle of the curve, the probability of correct response is much less than .5, and a short distance to the right the probability is much greater than .5. The middle curve represents an item with a moderate level of discrimination. The slope of this curve is much less than the previous curve and the probability of correct response changes less dramatically than the previous curve as the ability level increases. However, the probability of correct response is near zero for the lowest-ability examinees and near 1 for the highest-ability examinees. The third curve represents an item with low discrimination. The curve has a very small slope and the probability of correct response changes slowly over the full range of abilities shown. Even at low ability levels, the probability of correct response is reasonably large, and it increases only slightly when high ability levels are reached.

17.What general relationship exists between test reliability and the number of items on the test?

Solution:

Reliability is affected by the number of items in the test. We can readily understand how it happens that with more items in the test a greater range of scores is possible, and thus examinees are more widely dispersed along the scoring continuum. In this way it can be said that we have greater person separability and less likelihood that examinees would change rank order on repeated administrations of the test.

18.What does it mean if we say a correlation coefficient is significant at the p <.05 level?

Solution:

“P < 0.05” means that based on the test, there is less than a 5% chance that we are wrong in rejecting the null hypothesis. And we are generally safe to say that the two variables under test are correlated.

19.What are the sources of measurement errors in language test?

Solution:

Usually when we administer and score a test, some error of measurement is present. A variety of kinds of measurement error can introduce fluctuations in observed scores and thus reduce reliability. These different kinds of measurement error can be caused from the test-takers’side, the scorer s’ side and the administration of the test. A variety of changes may take place within the test-taker that either will introduce error on repeated administrations or will change the test-take r’s true score from time one to time two. If true scores change, correlations between repeated sets of observed scores will go down, causing us to underestimate the reliability of the test. Temporary changes in the examinee may introduce measurement error. Influences such as fatigue, sickness, emotional disturbance, and practice effect may cause the examinee's observed score to temporarily deviate from his or her true score, or that score which reflects his or her actual ability. Subjectivity in scoring or mechanical errors in the scoring process may introduce inconsistencies in scores and produce unreliable measurement. These kinds of inconsistencies usually occur within or between the raters themselves. Inconsistencies in the administrative process may introduce measurement error and thus reduce test reliability. This is most observable in situations where the test is administered to different groups in different locations or on different days, but may also appear within one administration in one location.

20.What is the meaning of measures of dispersion?

Solution:

Measures of dispersion describe how the data varies or is dispersed (spread out). The two most commonly used measures of dispersion are the range and the standard deviation. Rather than showing how data are similar, they show how data differs (its variation, spread, or dispersion).

21.List five common problems at the item writing stage. Provide one example of each problem type and correct the item if necessary.

Solution:

1. Mixed Response

Items are sometimes prepared to test a specific skill or competence, but close examination of the response options reveals that the options actually measure ability in skill areas other than those intended. For example: John flowers to the party last night.

a) carries C) lifts

b) carried d) lifted

It should be better if we have,

a) carries C) is carrying

b) carried d) has carried

2. Length Cues

Frequently the longest and most explicit option available is the obvious answer. Consider the following example:

In the story, the merchant was unhappy because it

a) rained. c) was windy.

b) was dark. d) was windy and rainy and he had forgotten his raincoat.

3. Nonsense Distractors

For most purposes, nonsense distractors are to be avoided. Nonsense options have two basic problems. First, they tend to be weak distractors. Second, they frequently have negative “wash-back” on instruction; i.e., the students may learn errors from the examination itself. Consider the following example:

They said they

a. had gone. c. have went.

b. had go. d. had went.

Obviously distractors (b), (c), and (d) contain structures that do not occur in grammatically acceptable English for classroom use.

4. Trick Questions

For some teachers it is always a temptation to include trick quesions on an examination. It is difficult to say whether the teacher's motive is to display cleverness, to embarrass the students for revenge, or merely to ensure test difficulty.

The point is that such questions make for both inaccurate measurement and poor pedagogy. Consider the following example:

When is it not appropriate not to be absent from class?

a) When you are sick.

b) When you are young.

c) While class is in session.

d) Whenever the teacher is angry.

5. Connnon Knowledge Responses

Particularly when testing the skill of reading comprehension, it may happen that an item may test common knowledge. In this way the correct response may be chosen without comprehension of the reading passage. An example would be the following:

We learn from this passage that Napoleon was

a) British c) Polish

b) French d) German

22.What is the essential difference between scatterplots of low-correlated variables and those of high-correlated variables?

Solution:

In scatterplots, if the variables are highly correlated, the dots fall very close together in a comparatively narrower or more elongated ellipse than those low-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.

Solution:

We compute the Pearson’s Product Moment Correlation coefficient and arrive at r=0.3007. And we do a one-tailed test with p<.05, degree of freedom being 16-1=15. And the critical value is 0.4124. But because r=0.3007<0.4124, the correlation is not statistically significant. So this item lacks a good 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.

Solution:

Raw score z-score T-score normal distribution area proportion

120 2.291 72.91 98.9 108 1.186 61.86 88.22 100 0.449 54.49 67.33 95 -0.011 49.89 49.56 83 -1.116 38.84 13.22 71 -2.221 27.79 1.32 61 -3.142 18.58 0.08

各章作业参考答案解析

材料科学基础练习题 参考答案 第一章原子排列 1. 作图表示立方晶系中的(123),(012),(421) 晶面和[102],[211],[346]晶向. 附图1-1 有关晶面及晶向 2. 分别计算面心立方结构与体心立方结构的{100},{110}和{111}晶面族的面间距, 并指出面间距最大的晶面(设两种结构的点阵常数均为a). 解由面心立方和体心立方结构中晶面间的几何关系, 可求得不同晶面族中的面间距如附表1-1所示. 附表1-1 立方晶系中的晶面间距 晶面{100} {110} {111} 面间距FCC 2 a2 4 a3 3 a BCC 2 a2 2 a3 3 a 显然, FCC中{111}晶面的面间距最大, 而BCC中{110}晶面的面间距最大. 注意:对于晶面间距的计算, 不能简单地使用公式, 应考虑组成复合点阵时, 晶面层数

会增加. 3. 分别计算fcc和bcc中的{100},{110}和{111}晶面族的原子面密度和<100>,<110>和<111>晶向族的原子线密度, 并指出两种结构的差别. (设两种结构的点阵常数均为a) 解原子的面密度是指单位晶面的原子数; 原子的线密度是指晶面上单位长度所包含的原子数. 据此可求得原子的面密度和线密度如附表1-2所示. 晶面/晶向{100} {110} {111} <100> <110> <111> 面/线密度 BCC 2 1 a2 2 a2 3 3a 1 a 2 2a 23 3a FCC 2 2 a2 2 a2 43 3a 1 a 2 a 3 3a 可见, 在BCC中, 原子密度最大的晶面为{110}, 原子密度最大的晶向为<111>; 在FCC 中, 原子密度最大的晶面为{111}, 原子密度最大的晶向为<110>. 4. 在(0110)晶面上绘出[2113]晶向. 解详见附图1-2. 附图1-2 六方晶系中的晶向 5. 在一个简单立方二维晶体中, 画出一个正刃型位错和一个负刃型位错. 试求: (1) 用柏氏回路求出正、负刃型位错的柏氏矢量. (2) 若将正、负刃型位错反向时, 说明其柏氏矢量是否也随之反向. (3) 具体写出该柏氏矢量的方向和大小. (4) 求出此两位错的柏氏矢量和. 解正负刃型位错示意图见附图1-3(a)和附图1-4(a).

电力系统暂态分析第一章作业参考答案

第一章作业参考答案 一、简答题 1、电力系统的干扰指什么?什么情况下的干扰最大? 答:电力系统的干扰指任何可以引起系统参数变化的事件。例如短路故障、电力元件的投入和退出等。其中短路造成的干扰最大。 2、为什么说电力系统的稳定运行状态是一种相对稳定的运行状态? 答:由于实际电力系统的参数时时刻刻都在变化,所以电力系统总是处在暂态过程之中,如果系统参数在某组数值附近作微小的持续变化,则描述电力系统运行状态的运行参量持续在某一平均值附近做微小的变化,我们就认为其运行参量保持平均值不变,即系统处于稳定工作状态。由此可见系统的稳定运行状态实际是一种相对稳定的工作状态。 3、为简化计算,在电力系统电磁暂态过程分析和机电暂态过程分析中都采用了那些基本假设? 答:电磁暂态分析过程中假设系统频率不变,即认为系统机电暂态过程还没有开始;机电暂态过程中假设发电机部的机电暂态过程已经结束。 4、简述电力系统的故障类型 答:电力系统的故障主要包括短路故障和断线故障。短路故障(又称横向故障)指相与相或相与地之间的不正常连接,短路故障又分为三相短路、两相短路、单相接地短路和两相短路接地,各种短路又有金属性短路和经过渡阻抗短路两种形式。三相短路又称为对称短路,其他三种短路称为不对称短路;在继电保护中又把三相短路、两相短路称为相间短路,单相接地短路和两相短路接地称为接地短路。断线故障(又称纵向故障)指三相中一相断开(一相断线)或两相断开(两相断线)的运行状态。 5、简述电力系统短路故障的危害 答:短路的主要危害主要体现在以下方面: 1)短路电流大幅度增大引起的导体发热和电动力增大的危害; 2)短路时电压大幅度下降引起的危害; 3)不对称短路时出现的负序电流对旋转电机的影响和零序电流对通讯的干扰。 6、简述断线的特点及危害 答:断线的特点是不会出现大的电流和低电压,但由于三相不对称,将在系统中产生负序和零序电流,所以断线的主要危害是负序电流对旋转电机的影响和零序电流对通讯的干扰。 7、电力系统故障分析中电压基准值、变压器变比通常如何选择?这样选择的目的是什么? 答:电力系统故障分析中电压基准值通常选择基本级的平均额定电压作为电压基准值,变压器的变比

(完整版)小学一年级英语期末考试试卷

小学一年级英语期末考试试卷 二、划出下列单词中的元音字母: uncle balloon mouth leaf sing ?三、正确抄写下列单词: bicycle father jump three butterfly ?四、问答句编号 1.How old are you today? No, he hasnt. 2.Have you got a balloon? She has got a taro. 3.What do you like to eat? I like to eat peaches. 4.What has she got? No, I have got a ball. 5.Has he got a swing? Im five. ?根据实际情况回答问题: 1.Whats your name? 2.How are you? 3. How old are you? 4.How many books? (4) 5.Happy New Year!

6.Happy birthday. 7.Whats your father? 8.Whats your mother? 9.Are you a pupil? 10. Are you a teacher? 11. Is your father a doctor? 12. Is your mother a nurse? 13. Do you like meat? 14. Is it blue? (No) 15. What colour is your bag? 16. What do you see? (a butterfly) 17. Is he a policeman? (no) 18. Is she a nurse? (yes) 19. Say hello to your mother. 20. Say goodbye to your teacher. 21. Come with me. 22. What is this? ( apple) 23. What is that?(kite) 24. What do you like to eat? 25. Good morning. 26. Good afternoon. 27. Hello , Im Mary.

物理学(第五版)下册波动作业答案

波动作业答案 1.{ 一平面简谐波沿Ox轴正方向传播,t= 0时刻的波形图如图所示,则P处介质质点的振动方程是() } A.(SI) B.(SI) C.(SI) D.(SI) 答案:A 2.如图所示,S1和S2为两相干波源,它们的振动方向均垂直于图面,发出波长为的简谐波,P点是两列波相遇区域中 的一点,已知,,两列波在P点发生相消干涉.若S 1的振动方程为,则S2的振动方程为() } A. B. C. D. 答案:D 3.两相干波源S1和S2相距,(为波长),S1的相位比S2的相位超前,在S1,S2的连线上,S1外侧各点(例如P点)两波引起的两谐振动的相位差是() } A.0 B. C.

D. 答案:C 4.在弦线上有一简谐波,其表达式为 (SI) 为了在此弦线上形成驻波,并且在x= 0处为一波腹,此弦线上还应有一简 谐波,其表达式为() } A.(SI) B.(SI) C.(SI) D.(SI) 答案:D 5.沿着相反方向传播的两列相干波,其表达式为 和. 在叠加后形成的驻波中,各处简谐振动的振幅是() } A.A B.2A C. D. 答案:D 6.{ 一平面余弦波在t= 0时刻的波形曲线如图所示,则O点的振动初相为() } A.0 B. C. D.(或) 答案:D 7.{ 如图所示,有一平面简谐波沿x轴负方向传播,坐标原点O的振动规律为),则B点的振动方程为() }

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