TABLE OF CONTENT
CANDIDATE’S STATEMENT i
ACKNOWLEDGEMENT ii
ABSTRACT iii
LIST OF ABBREVIATION iv
LIST OF TABLES AND CHARTS v
TABLE OF CONTENT vi
Chapter 1: INTRODUCTION 1
1.1. Rationale for the study 1
1.2. Aims and research questions 2
1.3. Theoretical and practical significance of the study 2
1.4. Scope of the study 2
1.5. Method of the study 2
1.6. Organization of the paper 3
Chapter 2: LITERATURE REVIEW 4
2.1. Language testing 4
2.1.1. What is a language test? 4
2.1.2. The purposes of language tests 4
2.1.3. Types of language tests 5
2.1.4. Criteria of a good language test 5
2.2. Achievement test 6
2.2.1. Definition 6
2.2.2. Types of achievement test 6
2.2.3. Considerations in final achievement test construction 7
2.3. MCQs test 7
2.3.1. Definition 7
2.3.2. Benefits of MCQs test 8
2.3.3. Limitations of MCQs test 10
2.3.4. Principles on designing a good MCQs test 11
2.4. Reliability of a test 11
2.4.1. Definition 11
2.4.2. Methods for test reliability estimate 12
2.4.3. Measures to improve test reliability 15
2.5. Summary 15
Chapter 3: The Context of the Study 16
3.1. The current English learning, teaching and testing situation at HUBT 16
3.2. The course objectives, syllabus and materials used for the second non-majors of English in Semester 4. 17
3.2.1. The course objectives 17
3.2.2. Business English syllabus 17
3.2.3. The course book 19
3.2.4. Specification grid for the final achievement Computer-based MCQs test in Semester 4. 19
Chapter 4: Methodology 21
4.1. Participants 21
4.2. Data collection instruments 21
4.3. Data collection procedure 21
4.4. Data analysis procedure 22
Chapter 5: RESULTS AND DISCUSSIONS 23
5.1. The compatibility of the objectives, content and skill weight format of the final achievement computer-based MCQ test 1 for 4th semester with the course objectives and the syllabus 23
5.1.1 The test objectives and the course objectives 23
5.1.2. The test item content in four sections and the syllabus content 24
5.1.3. The skill weight format in the test and the syllabus 26
5.2. The reliability of the final achievement test 27
5.2.1. Reliability coefficient 27
5.2.2. Item difficulty and discrimination value 27
5.3. The attitude of students towards the MCQs test 1 29
5.4. Pedagogical implications and suggestions on improvements of the existing final achievement computer-based MCQs test 1 for the non-English majors at HUBT. 34
5.5. Summary 38
Chapter 6: CONCLUSION 39
6.1. Summary of the findings 39
6.2. Limitations of the study 40
6.3. Suggestions for further study 40
REFERENCES 41
APPENDICES I
APPENDIX 1
Grammar, Reading, Vocabulary and Functional language check list II
APPENDIX 2
Survey questionnaire (for students at HUBT) IV
APPENDIX 3
Students’ test scores VII
APPENDIX 4
Item analysis of the final achievement computer-based MCQs test 1- 150 items, 349 examinees XII
APPENDIX 5
Item indices of the final achievement computer-based MCQs test 1 XVII
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est was relevant to what they had learned. The result is shown in the chart below:
Chart 1: Students’ response on test content
Among four sections, functional language was perceived as the most relevant with the total proportion of 65%. Reading section was claimed to be the least relevant (31% only). Vocabulary was said to be a little more relevant to the syllabus than grammar (59% compared with 52%).
Giving opinions on the test length, three fourths of the students (75%) found that the total number of 150 multi choice items was reasonable for them. 25% of them thought that it was too many.
Answering the question whether the test as a whole had power to discriminate among students in the ability of interest, approximately 36 % of students determined that test items actually discriminate the student level of English. The rest of 64% claimed the level of discrimination was not remarkable. The result can be seen clearly in the following pie chart:
Discrimination value
36%
64%
high
low
Chart 2: Students’ response on item discrimination value
In the fourth question, students were asked if they had enough time to fulfill the tasks given in the achievement test1. The following chart illustrates the result:
Time length
84%
9%
7%
enough
not enough
too much
Chart 3: Students’ response on time length
By observing the result in Chart 3, we realize that roughly 84% of students answered time management was not a problem for them. 7% of responses showed that time allowance was too much while 9% said that they needed more time to finish the tasks.
Regarding the clarify of the test instruction, 90 % of student stated that the instruction was clear. Only 10% of them perceived it was quite unclear.
When being asked about the influence of test supervision on the test result, 98% of students commented that test supervisors were strict. Only 2% of them acknowledged that they were under no very strict supervision.
Students were also asked whether testing room affected their performance. 40 % of them claimed that the testing room did have impact on their test performance. 60% stated they were not affected.
Responding to the question whether they experienced computer breakdown when doing the test and whether their test results were affected, a third of informants stated that they did and had to do the test again. 77% of them found it have a very negative influence on their test performance. The rest of 23% saw no impact.
When being asked if they suffered from physical and emotional pressure when performing tasks, 45% of students admitted they did while 55% of them did not.
With reference to test-taking behavior, 56% the informants responded that they did select the answers arbitrarily whereas 44% did not. The result was illustrated in the chart below. :
Response Arbitrariness
56%
44%
Yes
No
Chart 4: Students’ response arbitrariness
Answering the question about prior exposure to the test format and content, 97 % of students realized that they were familiar with this type of test. And only 3% were not. This can be explained that they were the second year students and have done a number of tests.
Concerning students’ computer skill, 61% of students claimed that they were good at using computer to do the test. 38% thought their skill was normal. Only 1% stated that they were not good at it.
When asked whether any difference between doing the test with hard copy and soft copy exists, amazingly 50 % of the participants found it different and 50% did not although they were the second year student and experienced four times doing MCQs English test on computers.
In the last question, students were asked whether the test scores reflected their actual achievement during the 4th semester. The result was presented in the following pie chart:
test score and students' achievement
66%
34%
exactly
not exactly
Chart 5: Students’ response on relation between test score and their achievement
As it can be seen from Chart 5, 66% of students acknowledged that the test score actually reflected their achievement while 34% of them did not get the score as expected.
From these results we can realize some points as follows:
- Factors which do not affect students’ scores include students’ computer skill, students’ familiarity with the test format and content, test supervision, clarity of test instruction, and time allowance.
- Factors affecting students’ test performance involve test characteristics, testee characteristics and test administration characteristic. Test characteristics include a large number of test items, low content relevance to the course book and low discrimination power. Testee characteristics consist of response arbitrariness, suffering from pressure and bad ability of reading texts on the screen. Test administration characteristic involves computer breakdown. Clearly when performing tasks, students were heavily influenced by both objective and subjective factors and therefore the results they got did not reflect their true ability as 34% of them claimed.
In short, the test scores do not seem reliable from students’ perspectives. That is because students’ performances on the test were affected by a number of both objective and subjective factors.
All of the findings to three research questions mentioned above lead to a conclusion that the MCQs test 1 does not yeild a reliable result. The unreliability of the test resulted from the performance of both test-takers and test-designers. As for test designers, they made the test of low quality. The allocation of items with difficulty among four sections was not reasonable. The items were also not really discriminating. As for test-takers, they did not perform the tasks well. Notably, according to the findings obtained from the comparison and analysis of test item content, there is high relevance between the test and the course book, especially in reading section. However, the findings from the questionnaire survey for students show that the test content is not actually relevant to what students have been taught, especially reading part. It is likely that the flunctuation from students when doing the test such as pressure, difficulty in reading texts on computers and response arbitrariness made them believe that the content of the test was generally 50% relevant to what they have learnt and their test scores does not reflect their true ability.
Regarding to all aspects, the MCQs test 1 has one good point. That is, it is valid in terms of content. Nevertheless, this point is not enough to conclude that it is a good test as it lacks reliability.
5.4. Pedagogical implications and suggestions on improvements of the existing final achievement computer-based MCQs test 1 for the non-English majors at HUBT.
In this section, some suggestions for test-designers are offered to improve the quality of the final achievement MCQs test 1.
A good achievement test must be valid and reliable. In order to make a more valid achievement test, test designers should stick to the course objectives of developing speaking and listening skill when designing achievement tests. According to Table 4-section 3.2.2. illustrating time allocation and skill weighing, speaking and listening skill are the main focuses of the course book Market Leader Pre-intermediate, these skills therefore should be tested with relevant skill weight proportion. Furthermore, functional language section in the MCQs test should be removed as it is far from the real – life situations. In fact, appropriate responses to various stimuli in everyday situations should be produced rather than chosen from these limited responses. Instead, functional language should be included in speaking tests. The scoring format for semester 4 should be as follows:
Semester 4 (12 credits)
The first score (6 credits)
The second score (6 credits )
Oral test
25%
Oral test
25%
Paper test 1
- listening
- writing
35%
25%
10%
Paper test 1
- listening
- writing
35%
25%
10%
Computer-based MCQs test 1
- reading
- vocabulary
- grammar
45%
20%
10%
15%
Computer-based MCQs test 1
- reading
- vocabulary
- grammar
45%
20%
10%
15%
Table 14: Suggested scoring format
It is expected that this suggested scoring format should ensure the principle of “test what is taught”.
In order to improve the test reliability, it is necessary to establish a testing committee of three to five people who will be responsible for test construction, administration and development instead of only one as it is at present. The testing committee should be made up of members with good knowledge, skills and experience of making MCQs tests. They are recommended to pay attention to the following three issues.
First, the testing committee members on one hand should design MCQs tests themselves and on the other hand require teachers to make their own tests. Teachers should be provided with test design and test development techniques involving vocabulary, grammar and reading by the testing members so that they can construct tests of good quality. This can be done through regularly-held workshops. The main reason for this is no one can understand the students’ strengths and weaknesses better than these teachers. Therefore the tests made by them can be sure to be reliable and practical with the students. Both committee members and teachers need to clarify students’ levels of language in order to maximize the test efficiency. This information would be helpful for them to avoid designing items with undesirable difficulty and discriminality value. In addition, the content of the test should relate to and familiar to what the students are taught and learnt during the course as much as possible. The test should also be systematically built up on the ground of a carefully constructed test specification.
Second, these test items should be carefully taken into consideration regarding the relevance to the course book content and then only acceptable tests item should be selected and piloted to students. The trial can be done at classrooms with strict supervision and it is preferable to enable students to do the test on computers in order to help them to get familiar with reading soft copy texts and to reduce their pressure.
Third, the results obtained from the trials should be carefully analyzed and discussed in terms of test difficulty, test discrimination, instructions, time allowance, distractors in order to decide which items are good enough and which items need adjusting to put into an item bank. The item bank therefore can guarantee the variety of test choices, test quality and test confidentiality.
Last but not least, the item bank needs to be updated, supplemented and adapted, especially after the achievement tests are given to students in each semester, with items of good quality for the consolidation and development of a standardised one.
* A proposed Specification Grid for the final achievement computer-based test 1 for the 4th semester non –English majors in HUBT.
Based on the findings of the study and the course objectives, a proposed test specification of the current 4th term English achievement MCQs test 1 is worked out as follows so that more accurate measures of students’ language competence can be achieved.
The objectives of the final achievement objective test 1 for the 4th term non – English include:
Checking what the students have learnt about vocabulary, grammar and reading and to what degree the objectives of the course have been achieved in the set timeframe.
Assessing students’ achievement at the end of the course, especially to evaluate students’ results after learning three units of Market Leader pre-Intermediate book.
Giving students’ feedback. The test results will be useful for students to see what they have achieved in their learning process.
Identifying room for improvement for both teaching content and teaching methodology. That is, teachers will refer to their students’ scores/ errors to adapt their teaching methods, the syllabus content and materials so as to make them more appropriate to their students’ needs and abilities.
The following is the grid of this tests’ specification.
Achievement test: Paper specifications grids
Time allowance: 150 minutes
Level: Pre – intermediate for non- English majors (Hanoi University of Business and Technology)
Test of Reading, Grammar and Vocabulary
Section
Main skill focus
Input
Response/ item type
Number of marks
Skill weighting
1. Reading
Reading for gist/ specific information including topics closely related to marketing, planning and managing
Narrative or factual text. Approx. 60-80 words each
X 41, 4 multi choice option
4.1
41%
2. Grammar
Recognizing grammar items involving wh-questions, future expression and reported speech
Narrative or factual text, approx.15-20 words each
X 32, 4 multi choice option
3.2
32%
3.Vocabulary
Recognizing vocabulary items including noun-noun , verb- noun and verb-preposition collocation
Narrative or factual text, approx. 15- 25 words each
X 27, 4 multi choice option
2.7
27%
Table 15: Proposed test specifications
5. 5. Summary
In this chapter, results and conclusions about three research questions of the study are drawn out and discussed. The findings show that the final achievement computer-based MCQs test 1 for the second year non-English majors at HUBT is to a certain extent not reliable. Thus some suggestions to make the test more reliable and high quality are given to test designers.
Chapter 6: Conclusion
6.1. Summary of the findings
Test reliability is undeniably an important criterion to define the quality of a test. The investigation and evaluation of the reliability of the final achievement computer-based MCQs test 1 are therefore useful to the judgment of the quality of teaching, learning and testing process at HUBT. Through data collected from students’ test score and item responses, the author find out the answers to three research questions about the compatibility of the test objective, test content and test format to the course objective and the syllabus content, the extent to which the test scores are reliable and the students’ attitude towards the test and then to come to a final conclusion about the reliability of the test.
The findings of indicate that the MCQs test 1 is not a good test as it first of all lacks compatibility between the test objective and the course objectives. The skill weight format of the test and of the syllabus are also incompatible. Four sections of the MCQs test 1 cover language items in the course book but the coverage relevance is still problematic. In addition, the MCQs test 1 fails to meet one of the most important criteria- reliability . The unreliability exists due to some problems. First, test items are of low quality as a result of low item difficulty and item discrimination value. Item analysis and students’ perception of the test discrimination indicate that the test does not have good discrimination value. Students’ perception and reliability coefficient of the MCQs test 1 both also show that the test score that students gets are unreliable. Second, several characteristics involving test items, testees and test administration such as a large number of test items, low content relevance to the course book, response arbitrariness, pressure and ability of reading text on the screen and computer breakdown as perceived by students reduce the reliability of the test scores. On the basis of these results, the author provides some suggestions towards the improvement of the test quality. The reliability of the final achievement MCQs test 1 for second year non-English majors may be increased if it is constructed more relevant to the course objectives and syllabus and if test items are designed and withdrawn from an item bank of good p-value and discrimination value by an efficient testing committee.
The author hopes that the study will give a detailed view of the Computer-based MCQs tests administrated at HUBT and the suggestions towards the test improvement will come into reality in order to properly assess students’ actual language ability during the process of learning Market Leader Pre-intermediate.
6.2. Limitations of the study
The study on the reliability of the final achievement Computer-based MCQs test does contain some unavoidable limitations. Firstly, this thesis investigated only a minor aspect among a lot of facets of test reliability due to the limit of time and the scope of a minor MA thesis. That is internal consistency reliability. Secondly, the test item analysis does not include distractor tally which can bring a much deeper view on the test due to the fact that access to these data was impossible. Finally, the author only developed a set of questionnaire to evaluate the test reliability from students’ perspective. If the attitude and perception of the teachers on the test had been studied, the results would have been more comprehensive.
6.3. Suggestions for further study
Considering the important of testing and the existence–to-a-certain-degree of the unreliability of the computer-based MCQs test, further research is needed to study its effects on language learning and assessing and identify coping strategies to help students promote their learning of four English skills while MCQs is still employed as a very useful testing technique.
References
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2. Bachman, L. F (1990). Fundamental Considerations in Language Testing. Oxford: Oxford University Press
3. Bachman, L.F; Palmer, A.S (1996). Language testing in practice: designing and developing useful language tests. Oxford: Oxford University Press
4. Brown, H. D. (1995). Teaching by principles. An Interactive Approach to language Pedagogy. London: Longman
5. Cotton, D. , David , F. and K. Simon . (2002). Market Leader- Pre-intermediate. Longman.
6. Harrison, A. (1983a). A Language Testing Handbook. London: McMillan Press
7. Henton, J.B. (1988). Writing English Language Test. Longman Group U. K.
8. Henton, J.B. (1990). Classroom testing. New York: Longman
9. Henning, G. (1987). A guide to Language Testing: Development, Evaluation, Research. Cambridge: Newbury House Publishers
10. Hien, T.T. (2005). The pros and cons of the multiple-choice testing technique with reference to methodological innovation as perceived by secondary English language teachers and students. Unpublished M.A Thesis, VNU.
11. Hughes, A. (1989). Testing for language teachers. Cambridge: Cambridge University Press.
12. Kunnan, A.J; Milanovic, M. (2000). Fairness and validation in language assessment : selected papers from the 19th Language Testing Research Colloquium, Orlando, Florida . Cambridge : Cambridge University Press,
13. Lynch, B.K (2003). Language assessment and programme evaluation. Edinburgh: Edinburgh University Press.
14. McCOUBRIE, P. (2004). Improving the fairness of Multi choice questions : a literature review. Medical Teacher, Vol 26, No. 8, 2004, pp709-712.
15. Mc Namara, T. (2000). Language Testing. Oxford: Oxford University Press
16. Milanovic, M. (1999). Issues in computer-adaptive testing of reading proficiency. Cambridge : Cambridge University Press
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18. Spolsky, B. (1995). Measured words. Oxford: Oxford University Press
19. Trang, H.V. (2005). Evaluating the reliability of the achievement writing test for the first-year students in the English Department, College of Foreign language, Vietnam National University, Hanoi and some suggestions for changes. Unpublished M.A Thesis, VNU5. 6. 20, 20. Weir, C. J. (1990). Communicative Language testing. Prentice hall International (UK) Ltd.
21. Weir, C.J. (2005). Language testing and validation: an evidence- based approach. Basingstoke : Palgrave Macmillan.
APPENDICES
APPENDIX 1
Grammar, Reading, Vocabulary and Functional language check list
Part
Unit
Items
Task
Page no
Grammar
7
Questions
Correcting/ Making questions/ Completing and Matching questions
P66; 29-30
8
Talking about future plan
Matching/ completing sentences/Making sentences/
P74; 32-33
9
Reported speech
Completing sentences/ Transforming direct into indirect speech/ Building sentences
P82; 37
Reading
7
Selling dreams – Beyond advertising- Fun marketing
Answering question/ Ordering headings/ Matching/ True-False/ Classifying
P65; 126-127
8
Planning for tourism – Time management- Town planning
Matching/ Answering questions/ Numbering summary/ Completing sentence/ Answering Qs
P72-73; 128-129
9
Managing across cultures- The company song- Coaching new employees
Answering the questions/ Matching / True-False/ Choosing correct alternatives
P81; 130-131
Vocabulary
7
Word partnerships
Filling missing vowels/ Matching/ Doing puzzle/ Completing a text
P. 63; 28,29
8
Ways to plan
Matching/ Combining word/ Completing a text
P71; 32
9
Verbs and preposition
Matching/ Completing table/ Completing sentence/ Making sentence/ Correcting
P30; 36
Functional language
7
Telephoning: Exchanging information (checking information, asking for information, finishing a conversation)
Listen and tick, answer questions, complete chart/ Role play
P 67
8
Meeting: Interrupting and clarifying
Listen and order, identify language function/ Role play
P 75
9
Socializing and entertaining (making excuses, asking and giving opinion, saying goodbye, thanking hosts)
Answer questions/ Listen and answer Qs, complete extract, order/ Role play
P 83
APPENDIX 2
C©u hái ®iÒu tra
C¸c em sinh viªn K11 th©n mÕn, Khoa TiÕng Anh mong nhËn ®îc ý kiÕn cña c¸c em vÒ bµi thi tr¾c nghiÖm cuèi kú 4 (A6). C¸c c©u tr¶ lêi thËn träng, chÝnh x¸c vµ ®Çy ®ñ cña c¸c em cho nh÷ng c©u hái díi ®©y sÏ gióp Ých rÊt nhiÒu cho viÖc n©ng cao chÊt lîng bµi thi cho sinh viªn n¨m thø hai . Xin ch©n thµnh c¶m ¬n sù céng t¸c cña c¸c em!
C¸c em h·y ®¸nh dÊu vµo nh÷ng c©u tr¶ lêi mµ c¸c em lùa chän, vµ ®a thªm ý kiÕn nÕu cÇn thiÕt.
1. C¸c em h·y nhËn xÐt néi dung cña bµi thi tr¾c nghiÖm trªn m¸y. Néi dung cña bµi thi cã phï hîp víi c¸c kiÕn thøc mµ c¸c em ®îc häc trªn líp kh«ng?
* PhÇn tõ vùng
a. Phï hîp b. Kh«ng phï hîp
…………………………………………………………………………………………
* PhÇn ng÷ ph¸p
a. Phï hîp b. Kh«ng phï hîp
…………………………………………………………………………………………
* PhÇn ®äc hiÓu
a. Phï hîp b. Kh«ng phï hîp
…………………………………………………………………………………………
* PhÇn t×nh huèng
a. Phï hîp b. Kh«ng phï hîp
…………………………………………………………………………………………
2. C¸c em cã nhËn xÐt g× vÒ sè lîng 150 c©u hái trong bµi thi tr¾c nghiÖm cuèi kú?
a. Qu¸ nhiÒu b.Võaph¶i …………………………………………………………………………………………
3. C¸c em cã nhËn xÐt g× vÒ møc ®é ph©n lo¹i tr×nh ®é häc sinh cña bµi thi tr¾c nghiÖm?
a. Cao b. ThÊp
…………………………………………………………………………………………
4. C¸c em h·y nhËn xÐt vÒ thêi gian lµm bµi thi tr¾c nghiÖm trªn m¸y. Thêi gian lµm bµi:
a. Thõa b. §ñ c. ThiÕu
………………………………………………………………………………………
C¸c em cã nhËn xÐt g× vÒ c¸c chØ dÉn dÉn lµm bµi trong bµi thi tr¾c nghiÖm trªn m¸y ?
a. Râ rµng b. Kh«ng râ rµng
…………………………………………………………………………………………
6. C¸c em ®¸nh gi¸ th¸i ®é cña c¸n bé coi thi nh thÕ nµo?
a. Nghiªm tóc b. ThiÕu nghiªm tóc
…………………………………………………………………………………………
7. Theo c¸c em phßng thi cã ¶nh hëng ®Õn kÕt qu¶ lµm bµi cña c¸c em kh«ng ?
a. Cã ¶nh hëng b. Kh«ng ¶nh hëng
…………………………………………………………………………………………
8. Trong qu¸ tr×nh lµm bµi m¸y tÝnh cña em cã bÞ trôc trÆc kh«ng? NÕu cã vµ c¸c em ph¶i lµm l¹i tõ ®Çu th× viÖc nµy cã g©y ¶nh hëng tiªu cùc ®Õn kÕt qu¶ bµi thi cña c¸c em?
a. Cã ¶nh hëng b. Kh«ng ¶nh hëng
…………………………………………………………………………………………
9. C¸c em cã chÞu ¸p lùc vÒ t©m sinh lý khi c¸c em lµm bµi kh«ng?
a. Cã b. Kh«ng
………………………………………………………………………………………
10. Trong khi lµm bµi thi c¸c em cã thêng tuú tiÖn chän ®¸p ¸n kh«ng?
a. Cã b. Kh«ng
…………………………………………………………………………………………
11. C¸c em nhËn xÐt g× vÒ kiÓu bµi thi tr¾c nghiÖm trªn m¸y ?
a. Quen thuéc b. Kh«ng quen thuéc
…………………………………………………………………………………………
12. C¸c em nhËn thÊy kü n¨ng sö dông m¸y tÝnh khi lµm bµi thi tr¾c nghiÖm cña m×nh nh thÕ nµo?
a. Tèt b. Kh«ng tèt
…………………………………………………………………………………………
13. C¸c em nhËn thÊy viÖc ®äc vµ lµm bµi thi tr¾c nghiÖm trªn m¸y so víi viÖc ®äc vµ lµm bµi thi tr¾c nghiÖm trªn giÊy cho kÕt qu¶ nh thÕ nµo?
a. Kh¸c nhau b. Kh«ng kh¸c nhau
…………………………………………………………………………………………
Theo c¸c em ®iÓm bµi thi tr¾c nghiÖm ph¶n ¸nh sù tiÕn bé trong qu¸ tr×nh häc tËp cña c¸c em ë trªn líp nh thÕ nµo ?
a. ChÝnh x¸c b. Kh«ng chÝnh x¸c
……………………………………………………………………………………….…
APPENDIX 3
STUDENTS’ TEST SCORES
STUDENTS' TEST SCORES
EXAMINEE
x
x
(x-x)2
EXAMINEE
x
x
(x-x)2
Score
Mean
Score
Mean
1
Lª Minh §øc
6.13
6.59
0.21
50
Chu ThÞ Ph¬ng
7.6
6.59
1.01
2
T¹ TuÊn Anh
5.73
6.59
0.75
51
§µo Duy Phong
5.33
6.59
1.6
3
Vò TrÇn ChÝnh
7.4
6.59
0.65
52
Ng« V¨n Qu©n
5
6.59
2.54
4
Ng« Th¸I Dòng
7.07
6.59
0.23
53
Ng« ThÞ Th×n
5.67
6.59
0.85
5
NguyÔn ThÞ Hång H¹nh
5.07
6.59
2.32
54
TrÇn ThÞ Th¶o
5.4
6.59
1.42
6
L¬ng Hång H¹nh
4.27
6.59
5.4
55
L¹i V¨n Thêng
6.67
6.59
0.01
7
Ph¹m V¨n Kú
4.93
6.59
2.77
56
N«ng Ph¬ng Thuú
6.87
6.59
0.08
8
§ç Ngäc LuyÖn
6.27
6.59
0.1
57
Ph¹m Ngäc Tó
6.47
6.59
0.02
9
§Æng Xu©n Nam
6.47
6.59
0.02
58
NguyÔn ThÞ Trang
8.73
6.59
4.57
10
Hoµng Quèc Th¸i
6.2
6.59
0.15
59
NguyÔn ThÞ Thu Trang
4.13
6.59
6.07
11
TrÇn Trung Thµnh
5.67
6.59
0.85
60
Lª ThÞ YÕn
6.07
6.59
0.27
12
Phan ChiÔn Th¾ng
6.07
6.59
0.27
61
Ph¹m ThÞ DiÖp
6.47
6.59
0.02
13
Lª B¸ Thùc
5.67
6.59
0.85
62
T¹ ThÞ Doan
6.33
6.59
0.07
14
NguyÔn Quèc Toµn
6.13
6.59
0.21
63
§Æng V¨n Dòng
5.47
6.59
1.26
15
Ng« M¹nh TuÊn
5.27
6.59
1.75
64
Lª Thuú Dung
6.47
6.59
0.02
16
NguyÔn Anh TuÊn
6.13
6.59
0.21
65
Ph¹m ThÞ Duyªn
7.2
6.59
0.37
17
Bïi TrÝ TuÖ
5.13
6.59
2.14
66
§oµn Ngäc H¶i
5.33
6.59
1.6
18
NguyÔn Kim Anh
6.67
6.59
0.01
67
NguyÔn Thi H¹nh
7.33
6.59
0.54
19
Bïi TuÊn Anh
5.93
6.59
0.44
68
NguyÔn V¨n HiÕu
3.4
6.59
10.2
20
Mai Trung HiÕu
5.47
6.59
1.26
69
§inh V¨n Hoµng
7.53
6.59
0.88
21
NguyÔn Xu©n Linh
6.13
6.59
0.21
70
NguyÔn ThÞ Kim Liªn
8.87
6.59
5.18
22
§Æng Ngäc Long
7.6
6.59
1.01
71
Th©n ThÞ Ngäc Mai
5.87
6.59
0.52
23
§ç TiÕn M¹nh
6.13
6.59
0.21
72
TrÇn Hoµi Nam
4.93
6.59
2.77
24
Hoµng Quèc Minh
7.67
6.59
1.16
73
Bïi ThÞ Ng¸t
6.87
6.59
0.08
25
Ph¹m V¨n Phóc
6.53
6.59
0
74
NguyÔn Quúnh Nga
7.6
6.59
1.01
26
Viªn Lª Quang
8.4
6.59
3.26
75
Bïi Thuý Nga
7.33
6.59
0.54
27
Vò V¨n Th¸i
6.47
6.59
0.02
76
§ç ThÞ BÝch Ngäc
6.07
6.59
0.27
28
TrÇn V¨n ThuËn
5.8
6.59
0.63
77
NguyÔn Jen Ny
6.33
6.59
0.07
29
Lª M¹nh Tó
7.33
6.59
0.54
78
NguyÔn Xu©n Quúnh
6.07
6.59
0.27
30
§ång Sü To¶n
5.87
6.59
0.52
79
Vò ThÞ T©m
6.87
6.59
0.08
31
Ph¹m V¨n TuÊn
6.13
6.59
0.21
80
TrÇn ThÞ Th¬ng
8
6.59
1.98
32
NguyÔn ThÞ Tó Uyªn
6.53
6.59
0
81
NguyÔn Kim Thu
5
6.59
2.54
33
Ng« B¸ V¨n
5.47
6.59
1.26
82
Lª Minh Thuû
5.73
6.59
0.75
34
Bïi H¶i Vinh
4.8
6.59
3.22
83
NguyÔn Ph¬ng Thuý
7
6.59
0.17
35
NguyÔn Träng Vinh
8
6.59
1.98
84
NguyÔn ThÞ TiÖp
7.93
6.59
1.79
36
NguyÔn V¨n ViÖt
5.87
6.59
0.52
85
NguyÔn ThÞ Thu Trang
8.13
6.59
2.36
37
§Æng ThÞ Quúnh Anh
7.27
6.59
0.46
86
§Ëu ThÞ HuyÒn Trang
4.27
6.59
5.4
38
Lª Quang B×nh
4.47
6.59
4.51
87
Phan ThÞ Quúnh Trang
6.67
6.59
0.01
39
Chu V¨n ChuyÓn
3.93
6.59
7.09
88
NguyÔn ThÞ H¶i YÕn
6.87
6.59
0.08
40
NguyÔn Ngäc DiÖp
7.53
6.59
0.88
89
NguyÔn ThÞ §am
7.47
6.59
0.77
41
§inh Thu H»ng
6
6.59
0.35
90
§µo Quúnh Anh
8.67
6.59
4.31
42
NguyÔn Ng©n Hµ
6.73
6.59
0.02
91
NguyÔn ThÞ Dung
5.67
6.59
0.85
43
Cao V¨n H¶i
6.13
6.59
0.21
92
Hoµng ThÞ Thu Giang
7.6
6.59
1.01
44
Do·n ThÞ H¹nh
5.4
6.59
1.42
93
Bïi Trêng Giang
6.33
6.59
0.07
45
Bïi ThÞ HiÒn
5.47
6.59
1.26
94
Phan Ngäc H¬ng
8
6.59
1.98
46
Phan ThÞ Mü H¬ng
8.53
6.59
3.75
95
Bïi ThÞ H¶I Hµ
5.93
6.59
0.44
47
§ç ThÞ Linh
6.07
6.59
0.27
96
T¨ng ThÞ Kim H¹nh
5.53
6.59
1.13
48
Vò ThÞ Mai
6.6
6.59
0
97
TrÇn ThÞ Hoµi
7.4
6.59
0.65
49
Lý ThÞ Ph¬ng Ng©n
5.8
6.59
0.63
98
NguyÔn Ph¬ng Hoa
6.87
6.59
0.08
STUDENTS' TEST SCORES
EXAMINEE
x
x
(x-x)2
EXAMINEE
x
x
(x-x)2
Score
Mean
Score
Mean
99
NguyÔn ThÞ Thanh HuyÒn
7.07
6.59
0.23
147
Tõ ThÞ Hµ V©n
6.87
6.59
0.08
100
Lu Thuú Linh
6.67
6.59
0.01
148
D¬ng ThÞ H¶I YÕn
7.27
6.59
0.46
101
Ph¹m Thanh Long
6.53
6.59
0
149
Bïi Minh §øc
5.33
6.59
1.6
102
NguyÔn ThÞ Quúnh Mai
9.33
6.59
7.49
150
NguyÔn Quúnh Anh
7.53
6.59
0.88
103
NguyÔn ThÞ Nga
6.93
6.59
0.11
151
Lª ThÞ Quúnh Anh
8.27
6.59
2.81
104
Vò ThÞ Ngäc
6.67
6.59
0.01
152
Tr¬ng Thuú Chi
7.6
6.59
1.01
105
NguyÔn Th¶o Nguyªn
6.93
6.59
0.11
153
Hµ Kim Dung
8.27
6.59
2.81
106
NguyÔn ThÞ Minh NguyÖt
8.73
6.59
4.57
154
PhÝ ThÞ H»ng
6.33
6.59
0.07
107
Th¸i Ngäc Nhung
6.07
6.59
0.27
155
§µo Minh Hµ
8.47
6.59
3.52
108
NguyÔn ThÞ Lan Ph¬ng
6.67
6.59
0.01
156
Ph¹m thÞ Thu Hµ
8.07
6.59
2.18
109
NguyÔn Hå Quanhg
6.67
6.59
0.01
157
Lª ThÞ Hång
5.2
6.59
1.94
110
§ç ThÞ Nh Quúnh
6.33
6.59
0.07
158
Vò ThÞ TuyÕt Lan
5.27
6.59
1.75
111
NguyÔn ThÞ Th¶o
7.4
6.59
0.65
159
NguyÔn ThÞ Liªn
7.53
6.59
0.88
112
Ph¹m ThÞ Ph¬ng Thuú
7.07
6.59
0.23
160
NguyÔn C«ng Nhí
2.93
6.59
13.4
113
Lª ThÞ Thu Thuû
7.93
6.59
1.79
161
Bïi ThÞ Ph¬ng
7.27
6.59
0.46
114
Lª ThÞ Thuû
8.4
6.59
3.26
162
Bïi Mai Ph¬ng
8.53
6.59
3.75
115
Ph¹m ThÞ Ngäc Trang
7.67
6.59
1.16
163
NguyÔn Thanh Phîng
7.6
6.59
1.01
116
NguyÔn ThÞ Thu Trang
6.13
6.59
0.21
164
Bïi ThÞ Thu Quúnh
7.87
6.59
1.63
117
Lª Quúnh Trang
8.67
6.59
4.31
165
Lu ThÞ Trang Th¶o
0.13
6.59
41.8
118
Ng« Quèc Tu©n
5.73
6.59
0.75
166
NguyÔn ThÞ Th¾m
7.33
6.59
0.54
119
Vò ThÞ Ngäc Anh
8.33
6.59
3.02
167
TrÇn ThÞ Thoa
8.2
6.59
2.58
120
NguyÔn Thµnh C«ng
7.07
6.59
0.23
168
Hoµng ThÞ Thu Thuû
7.33
6.59
0.54
121
Bïi Kh¾c Cêng
2.47
6.59
17
169
NguyÔn ThÞ Thu Trang
3.93
6.59
7.09
122
Ph¹m V¨n Dòng
3.6
6.59
8.96
170
Hoµng ThÞ HuyÒn Trang
7.4
6.59
0.65
123
§oµn ThÞ Kim Dung
6.53
6.59
0
171
§Æng ThÞ HuyÒn Trang
8.33
6.59
3.02
124
NguyÔn T Duy
6.13
6.59
0.21
172
D¬ng HuyÒn Trang
5.47
6.59
1.26
125
Hµ Lan H¬ng
5.27
6.59
1.75
173
Ph¹m Thuý V©n
7.13
6.59
0.29
126
NguyÔn ThÞ Thu HiÒn
6.53
6.59
0
174
Vò Thanh Xu©n
9
6.59
5.79
127
Hoµng Thi HiÒn
5.47
6.59
1.26
175
T¹ Quèc §¹t
7
6.59
0.17
128
§Æng Thanh HuyÒn
5.4
6.59
1.42
176
Vò Träng §am
7.13
6.59
0.29
129
NguyÔn Ngäc Linh
6.87
6.59
0.08
177
TrÇn Vò §é
8.07
6.59
2.18
130
Vò KiÒu Loan
7.73
6.59
1.29
178
L· M¹nh Cêng
6.53
6.59
0
131
Ph¹m ThÞ Quúnh Mai
8.67
6.59
4.31
179
TrÞnh V¨n Cêng
5.67
6.59
0.85
132
Vò ThÞ Minh
6.4
6.59
0.04
180
L¹i V¨n Dòng
4.53
6.59
4.26
133
NguyÔn ThÞ Ng©n
7.33
6.59
0.54
181
TrÇn Mü H»ng
5.73
6.59
0.75
134
§ç ThÞ Ng©n
6.47
6.59
0.02
182
NguyÔn Anh Hµo
8.07
6.59
2.18
135
NguyÔn Hoµng Nga
5.4
6.59
1.42
183
Mai Thanh H¶i
6.93
6.59
0.11
136
NguyÔn Hång Nhung
7.27
6.59
0.46
184
TrÇn DiÖu Hång
6.67
6.59
0.01
137
Ph¹m ThÞ Hång Nhung
4.53
6.59
4.26
185
TrÇn ThÞ BÝch HËu
6.4
6.59
0.04
138
NguyÔn TrÇn Ph¬ng
7.47
6.59
0.77
186
Vò ThÞ Hoµng Lan
4.33
6.59
5.12
139
Bïi M¹nh Qu©n
7.47
6.59
0.77
187
§Æng Vò LËp
6
6.59
0.35
140
M¹c ThÞ Ngäc Quúnh
8.67
6.59
4.31
188
TrÇn Thµnh Long
4.07
6.59
6.37
141
NguyÔn Duy S¬n
4.07
6.59
6.37
189
Lu ThÞ KiÒu Oanh
5.67
6.59
0.85
142
NguyÔn Quang ThiÖn
6.07
6.59
0.27
190
NguyÔn V¨n Qu¶ng
5.6
6.59
0.99
143
Ph¹m ThÞ Kim Thu
6.73
6.59
0.02
191
NguyÔn NguyÖt Quúnh
7.6
6.59
1.01
144
§µo Thi Thuý
7.27
6.59
0.46
192
Bïi ViÖt Th¸i
6.47
6.59
0.02
145
NguyÔn ThÞ Thu Trang
4.47
6.59
4.51
193
Hoµng Ph¬ng Th¶o
7.13
6.59
0.29
146
Tr¬ngThÞ H¶i V©n
5.6
6.59
0.99
194
§ç Duy Th¾ng
6.67
6.59
0.01
STUDENTS' TEST SCORES
EXAMINEE
x
x
(x-x)2
EXAMINEE
x
x
(x-x)2
Score
Mean
Score
Mean
195
Ng« V¨n Th¸ng
5.87
6.59
0.52
244
Cao Thu Nga
8.87
6.59
5.18
196
Lª Quang Thä
7.2
6.59
0.37
245
Ng« H»ng Nga
6.4
6.59
0.04
197
NguyÔn Xu©n Toµn
6.67
6.59
0.01
246
NguyÔn ThÞ Quúnh
7.13
6.59
0.29
198
Cao Anh Trung
6.33
6.59
0.07
247
NguyÔn ThÞ Minh T©m
7.8
6.59
1.46
199
§ç Ngäc TuyÒn
7.07
6.59
0.23
248
Hoµng ThÞ Th¶o
5.73
6.59
0.75
200
§inh §øc Anh
8.67
6.59
4.31
249
§ç §øc ThiÖn
8.53
6.59
3.75
201
TrÇn TuÊn Anh
8
6.59
1.98
250
§oµn Thu Thuû
5.2
6.59
1.94
202
Ph¹m Ngäc B¸u
6.93
6.59
0.11
251
Hoµng Thanh Tïng
6.67
6.59
0.01
203
Vò ThÞ Dung
7.8
6.59
1.46
252
Lª Quang §¹t
7.53
6.59
0.88
204
TrÇn V¨n Hµ
5.27
6.59
1.75
253
NguyÔn Duy §iÒn
6.4
6.59
0.04
205
§µo ThiÞ Thu Hµ
6.73
6.59
0.02
254
NguyÔn V¨n ChÝnh
9.07
6.59
6.13
206
Ph¹m Trung HiÔu
7.8
6.59
1.46
255
D¬ng Thu H¬ng
8.93
6.59
5.46
207
NguyÔn Quang Huy
7.93
6.59
1.79
256
Vò ThÞ Thuý Hµ
7.87
6.59
1.63
208
Vò V¨n Huyªn
7.27
6.59
0.46
257
§ç Thu Hµ
7.93
6.59
1.79
209
Vò §øc Lîng
6.93
6.59
0.11
258
Vò thi Thu Hµ
7.47
6.59
0.77
210
NguyÔn V¨n LiÔu
7.73
6.59
1.29
259
Ph¹m ThÞ Thu Hoµi
7.2
6.59
0.37
211
§inh TiÕn Lùc
4.8
6.59
3.22
260
Vò ThÞ Ho¹t
8.4
6.59
3.26
212
NguyÔn §øc Minh
6.47
6.59
0.02
261
NguyÔn ThÞ My HuyÒn
6.13
6.59
0.21
213
Tèng Quang Nam
3.2
6.59
11.5
262
NguyÔn Minh HuyÒn
8.27
6.59
2.81
214
NguyÔn BÝch Ngäc
6.4
6.59
0.04
263
TrÇn Mü Linh
6.8
6.59
0.04
215
Bïi Minh Ngäc
8.73
6.59
4.57
264
Bïi Huy Long
6.73
6.59
0.02
216
NguyÔn Thanh T©m
7.33
6.59
0.54
265
Hoµng Long
8.67
6.59
4.31
217
TrÇn M¹nh Th¾ng
8.33
6.59
3.02
266
Ng« Ngäc Mai
8.67
6.59
4.31
218
NguyÔn ThÞ Thanh Thuû
8.2
6.59
2.58
267
NguyÔn BÝch Phîng
7.53
6.59
0.88
219
NguyÔn ThÞ Thu Thuý
6.87
6.59
0.08
268
NguyÔn Hoµng S¬n
3.4
6.59
10.2
220
Ph¹m V¨n D Tïng
6.2
6.59
0.15
269
NguyÔn Hoµng S¬n
5.33
6.59
1.6
221
Ph¹m ThÞ Thu Trang
6.33
6.59
0.07
270
NguyÔn ThÞ T¸m
3
6.59
12.9
222
TrÇn ThÞ Thu Trang
6.33
6.59
0.07
271
NguyÔn ThÕ T×nh
2.53
6.59
16.5
223
§ç Quèc Trinh
6.4
6.59
0.04
272
NguyÔn M¹nh Tëng
3.73
6.59
8.2
224
TrÇn NguyÖt ¸nh
8
6.59
1.98
273
Vu¬ng ThÞ Thu Trang
5.07
6.59
2.32
225
NguyÔn Hång ¢n
7.33
6.59
0.54
274
Bïi Quang Trung
4.8
6.59
3.22
226
NguyÔn Ph¬ng Anh
8.53
6.59
3.75
275
§ç §øc ViÖt
4.67
6.59
3.7
227
Chu ViÖt Cêng
6.53
6.59
0
276
TrÇn Thu Anh
3.73
6.59
8.2
228
NguyÔn ThÞ Minh Ch©u
7.13
6.59
0.29
277
Hoµng Thä C«ng
5.27
6.59
1.75
229
NguyÔn Ph¬ng Dung
8.13
6.59
2.36
278
Cao §øc Cêng
3.53
6.59
9.38
230
NguyÔn Thuú Dung
6.8
6.59
0.04
279
NguyÔn M¹nh Cêng
4.27
6.59
5.4
231
NguyÔn ThÞ Thuý H»ng
6.87
6.59
0.08
280
L¬ng Minh Ch©u
6.73
6.59
0.02
232
NguyÔn Thu H¬ng
7.67
6.59
1.16
281
Vò TiÕn Dòng
2.87
6.59
13.9
233
NguyÔn ThÞ Hång Hµ
7
6.59
0.17
282
Ph¹m Ngäc Duy
4.33
6.59
5.12
234
Lª ThÞ Ngäc Hµ
7.93
6.59
1.79
283
Vò ThÞ H¬ng Giang
6.6
6.59
0
235
NguyÔn DiÖu Hµ
7.2
6.59
0.37
284
Vò Trêng Giang
6.13
6.59
0.21
236
NguyÔn Thanh H¶i
9.4
6.59
7.88
285
NguyÔn ThÞ H¬ng
8.73
6.59
4.57
237
TrÇn Lª Huy
3.07
6.59
12.4
286
Hoµng ThÞ Mai H¬ng
2.67
6.59
15.4
238
NguyÔn DiÖu Linh
8.8
6.59
4.87
287
§inh ThÞ Thu Hµ
8.6
6.59
4.03
239
Lª ThÞ Thanh Loan
8.07
6.59
2.18
288
TrÞnh Thu Hång
7.8
6.59
1.46
240
NguyÔn H¶i Long
4.87
6.59
2.97
289
§ç M¹nh Hïng
7.4
6.59
0.65
241
NguyÔn ThÞ Hµ Ly
6.73
6.59
0.02
290
Bïi SÜ HiÕu
7.47
6.59
0.77
242
NguyÔn ThÕ MÉn
4.2
6.59
5.73
291
Bïi Huy Hoµng
4.53
6.59
4.26
243
Ph¹m thÞ Thuý Ngµ
7.13
6.59
0.29
292
Lª ThÞ Hoa
4.8
6.59
3.22
STUDENTS' TEST SCORES
EXAMINEE
x
x
(x-x)2
EXAMINEE
x
x
(x-x)2
Score
Mean
Score
Mean
293
TriÖu Kh¸nh Hoµ
8.87
6.59
5.18
342
§ç Hu¬ng Thuû
8.13
6.59
2.36
294
Vò §×nh Khoa
5.87
6.59
0.52
343
NguyÔn Anh Tó
4.8
6.59
3.22
295
Ph¹m ChÝ Lîng
7
6.59
0.17
344
Ng« V¨n Toµn
9.27
6.59
7.16
296
NguyÔn ThÞ Thuú Linh
6
6.59
0.35
345
TrÇn Hu¬ng Trang
7.2
6.59
0.37
297
TrÞnh ThÞ Minh Loan
6.47
6.59
0.02
346
Phã §øc Trung
4.4
6.59
4.81
298
Vò §øc Long
8.07
6.59
2.18
347
Phan ThÞ V©n
8.2
6.59
2.58
299
NguyÔn TuyÕt Mai
8.27
6.59
2.81
348
Ph¹m Thanh V©n
6.93
6.59
0.11
300
Hoµng ThÞ Kim Oanh
8.13
6.59
2.36
349
Hoµng ViÖt
9.47
6.59
8.27
301
NguyÔn Ph¬ng Th¶o
7.13
6.59
0.29
302
Giang ThÞ Th¶o
8.53
6.59
3.75
∑x
2301
303
NguyÔn V¨n Thao
6.33
6.59
0.07
∑(x-x)2
740
304
§inh Ph¬ng Ngäc Anh
3.47
6.59
9.76
Mean
6.59
305
NguyÔn thÞ V©n Anh
6.67
6.59
0.01
306
Ph¹m V¨n B×nh
4.4
6.59
4.81
307
TrÇn ThÞ thuú D¬ng
5.8
6.59
0.63
308
L¹i ViÖt Dòng
7.67
6.59
1.16
309
Phïng ThÞ Ngäc Dung
7.4
6.59
0.65
310
NguyÔn H¬ng Giang
6.93
6.59
0.11
311
Ng« §øc H¶i
7.87
6.59
1.63
312
TrÇn Huy Hng
6.67
6.59
0.01
313
KhuÊt ThÞ Thu Hoµi
6.07
6.59
0.27
314
NguyÔn Hoµi Linh
6.47
6.59
0.02
315
Lª ThÞ DiÖu Linh
8.2
6.59
2.58
316
Ph¹m ThÞ Loan
5.13
6.59
2.14
317
TrÇn ThÞ Ngäc Mai
6.47
6.59
0.02
318
NguyÔn Thµnh Nh
7.53
6.59
0.88
319
NguyÔn ThÞ Th¶o
6.67
6.59
0.01
320
Lª Minh Thanh
5.6
6.59
0.99
321
NguyÔn Thu Trang
7.27
6.59
0.46
322
NguyÔn ViÕt TuÊn
8.53
6.59
3.75
323
Vò ViÕt TuÊn
4.2
6.59
5.73
324
NguyÔn Anh V¨n
8.87
6.59
5.18
325
NguyÔn TrÇn ViÖt
7.73
6.59
1.29
326
Ng« ThÞ V©n Anh
7.6
6.59
1.01
327
Phïng Xu©n Chinh
6.33
6.59
0.07
328
NguyÔn ThÕ Dòng
6.6
6.59
0
329
NguyÔn TuÊn Dòng
3.13
6.59
12
330
Nh©m ThÞ Giang
8.27
6.59
2.81
331
TrÇn V¨n H¶i
7.13
6.59
0.29
332
NguyÔn ThÞ Hiªn
7
6.59
0.17
333
Ng« Duy Huynh
7
6.59
0.17
334
NguyÔn Thanh HuyÒn
8.07
6.59
2.18
335
NguyÔn Thanh HuyÒn
6.8
6.59
0.04
336
NguyÔn Ngäc Linh
7.6
6.59
1.01
337
Bïi Ngäc Long
5.47
6.59
1.26
338
Cao ThÞ Nhi
8
6.59
1.98
339
T« Minh Pha
9.13
6.59
6.43
340
NguyÔn §øc Phong
6.67
6.59
0.01
341
TrÇn v¨n Sang
5.2
6.59
1.94
APPENDIX 4
ITEM ANALYSIS OF THE FINAL ACHIEVEMENT COMPUTER-BASED MCQS TEST 1- 150 ITEMS, 349 EXAMINEES
ITEM ANALYSIS FOR THE FINAL ACHIEVEMENT COMPUTER-BASED MCQS TEST 1- 150 ITEMS,
349 EXAMINEES
Item No
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
Item correct
121
234
236
207
226
215
221
224
220
214
206
217
214
217
218
212
225
210
213
205
Item incorrect
228
115
113
142
123
134
128
125
129
135
143
132
135
132
131
137
124
139
136
144
Total response
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
Proportion correct (p)
0.35
0.67
0.68
0.59
0.65
0.62
0.63
0.64
0.63
0.61
0.59
0.62
0.61
0.62
0.62
0.61
0.64
0.6
0.61
0.59
Proportion incorrect (q)
0.65
0.33
0.32
0.41
0.35
0.38
0.37
0.36
0.37
0.39
0.41
0.38
0.39
0.38
0.38
0.39
0.36
0.4
0.39
0.41
Item variance
0.23
0.22
0.22
0.24
0.23
0.24
0.23
0.23
0.23
0.24
0.24
0.24
0.24
0.24
0.23
0.24
0.23
0.24
0.24
0.24
∑pq
33
S.d of total scores
1.46
Variance of total scores
2.12
N (items)
150
N -1
149
KD-20
-14.6
Item No
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
Item correct
220
225
212
206
210
215
206
215
212
200
223
216
227
217
217
215
221
205
202
213
Item incorrect
129
124
137
143
139
134
143
134
137
149
126
133
122
132
132
134
128
144
147
136
Total response
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
Proportion correct (p)
0.63
0.64
0.61
0.59
0.6
0.62
0.59
0.62
0.61
0.57
0.64
0.62
0.65
0.62
0.62
0.62
0.63
0.59
0.58
0.61
Proportion incorrect (q)
0.37
0.36
0.39
0.41
0.4
0.38
0.41
0.38
0.39
0.43
0.36
0.38
0.35
0.38
0.38
0.38
0.37
0.41
0.42
0.39
Item variance
0.23
0.23
0.24
0.24
0.24
0.24
0.24
0.24
0.24
0.24
0.23
0.24
0.23
0.24
0.24
0.24
0.23
0.24
0.24
0.24
∑pq
33
S.d of total scores
1.46
Variance of total scores
2.12
N (items)
150
N -1
149
KD-20
-14.6
ITEM ANALYSIS FOR THE FINAL ACHIEVEMENT COMPUTER-BASED MCQS TEST 1- 150 ITEMS,
349 EXAMINEES
Item No
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
Item correct
202
215
200
221
211
208
225
214
222
221
259
244
244
238
234
239
236
231
223
225
Item incorrect
147
134
149
128
138
141
124
135
127
128
90
105
105
111
115
110
113
118
126
124
Total response
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
Proportion correct (p)
0.58
0.62
0.57
0.63
0.6
0.6
0.64
0.61
0.64
0.63
0.74
0.7
0.7
0.68
0.67
0.68
0.68
0.66
0.64
0.64
Proportion incorrect (q)
0.42
0.38
0.43
0.37
0.4
0.4
0.36
0.39
0.36
0.37
0.26
0.3
0.3
0.32
0.33
0.32
0.32
0.34
0.36
0.36
Item variance
0.24
0.24
0.24
0.23
0.24
0.24
0.23
0.24
0.23
0.23
0.19
0.21
0.21
0.22
0.22
0.22
0.22
0.22
0.23
0.23
∑pq
33
S.d of total scores
1.46
Variance of total scores
2.12
N (items)
150
N -1
149
KD-20
-14.6
Item No
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
Item correct
222
218
224
215
197
212
222
212
219
227
240
215
228
230
226
240
217
227
239
232
Item incorrect
127
131
125
134
152
137
127
137
130
122
109
134
121
119
123
109
132
122
110
117
Total response
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
Proportion correct (p)
0.64
0.62
0.64
0.62
0.56
0.61
0.64
0.61
0.63
0.65
0.69
0.62
0.65
0.66
0.65
0.69
0.62
0.65
0.68
0.66
Proportion incorrect (q)
0.36
0.38
0.36
0.38
0.44
0.39
0.36
0.39
0.37
0.35
0.31
0.38
0.35
0.34
0.35
0.31
0.38
0.35
0.32
0.34
Item variance
0.23
0.23
0.23
0.24
0.25
0.24
0.23
0.24
0.23
0.23
0.21
0.24
0.23
0.22
0.23
0.21
0.24
0.23
0.22
0.22
∑pq
33
S.d of total scores
1.46
Variance of total scores
2.12
N (items)
150
N -1
149
KD-20
-14.6
ITEM ANALYSIS FOR THE FINAL ACHIEVEMENT COMPUTER-BASED MCQS TEST 1- 150 ITEMS,
349 EXAMINEES
Item No
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
Item correct
232
225
238
219
229
240
229
237
247
246
241
243
248
247
262
249
271
260
270
265
Item incorrect
117
124
111
130
120
109
120
112
102
103
108
106
101
102
87
100
78
89
79
84
Total response
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
Proportion correct (p)
0.66
0.64
0.68
0.63
0.66
0.69
0.66
0.68
0.71
0.7
0.69
0.7
0.71
0.71
0.75
0.71
0.78
0.74
0.77
0.76
Proportion incorrect (q)
0.34
0.36
0.32
0.37
0.34
0.31
0.34
0.32
0.29
0.3
0.31
0.3
0.29
0.29
0.25
0.29
0.22
0.26
0.23
0.24
Item variance
0.22
0.23
0.22
0.23
0.23
0.21
0.23
0.22
0.21
0.21
0.21
0.21
0.21
0.21
0.19
0.2
0.17
0.19
0.18
0.18
∑pq
33
S.d of total scores
1.46
Variance of total scores
2.12
N (items)
150
N -1
149
KD-20
-14.6
Item No
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
Item correct
260
263
260
267
260
258
246
241
246
215
219
221
223
201
198
224
200
214
212
229
Item incorrect
89
86
89
82
89
91
103
108
103
134
130
128
126
148
151
125
149
135
137
120
Total response
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
Proportion correct (p)
0.74
0.75
0.74
0.77
0.74
0.74
0.7
0.69
0.7
0.62
0.63
0.63
0.64
0.58
0.57
0.64
0.57
0.61
0.61
0.66
Proportion incorrect (q)
0.26
0.25
0.26
0.23
0.26
0.26
0.3
0.31
0.3
0.38
0.37
0.37
0.36
0.42
0.43
0.36
0.43
0.39
0.39
0.34
Item variance
0.19
0.19
0.19
0.18
0.19
0.19
0.21
0.21
0.21
0.24
0.23
0.23
0.23
0.24
0.25
0.23
0.24
0.24
0.24
0.23
∑pq
33
S.d of total scores
1.46
Variance of total scores
2.12
N (items)
150
N -1
149
KD-20
-14.6
ITEM ANALYSIS FOR THE FINAL ACHIEVEMENT COMPUTER-BASED MCQS TEST 1- 150 ITEMS,
349 EXAMINEES
Item No
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
Item correct
207
212
222
224
221
219
229
239
228
224
222
241
242
240
240
242
258
255
267
260
Item incorrect
142
137
127
125
128
130
120
110
121
125
127
108
107
109
109
107
91
94
82
89
Total response
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
349
Proportion correct (p)
0.59
0.61
0.64
0.64
0.63
0.63
0.66
0.68
0.65
0.64
0.64
0.69
0.69
0.69
0.69
0.69
0.74
0.73
0.77
0.74
Proportion incorrect (q)
0.41
0.39
0.36
0.36
0.37
0.37
0.34
0.32
0.35
0.36
0.36
0.31
0.31
0.31
0.31
0.31
0.26
0.27
0.23
0.26
Item variance
0.24
0.24
0.23
0.23
0.23
0.23
0.23
0.22
0.23
0.23
0.23
0.21
0.21
0.21
0.21
0.21
0.19
0.2
0.18
0.19
∑pq
33
S.d of total scores
1.46
Variance of total scores
2.12
N (items)
150
N -1
149
KD-20
-14.6
Item No
141
142
143
144
145
146
147
148
149
150
Item correct
263
264
270
271
282
289
295
284
294
251
Item incorrect
86
85
79
78
67
60
54
65
55
98
Total response
349
349
349
349
349
349
349
349
349
349
Proportion correct (p)
0.75
0.76
0.77
0.78
0.81
0.83
0.85
0.81
0.84
0.72
Proportion incorrect (q)
0.25
0.24
0.23
0.22
0.19
0.17
0.15
0.19
0.16
0.28
Item variance
0.19
0.18
0.18
0.17
0.16
0.14
0.13
0.15
0.13
0.2
∑pq
33
S.d of total scores
1.46
Variance of total scores
2.12
N (items)
150
N -1
149
KD-20
-14.6
APPENDIX 5
ITEM INDICES OF THE FINAL ACHIEVEMENT COMPUTER-BASED MCQS TEST 1
ITEM INDICES OF THE FINAL ACHIEVEMEMT COMPUTER-BASED MCQS TEST 1
Section
Reading
Item No
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
p-value
0.35
0.67
0.68
0.59
0.65
0.62
0.63
0.64
0.63
0.61
0.59
0.62
0.61
0.62
0.62
0.61
0.64
0.6
0.61
0.59
item discrimination value
0.55
0.67
0.63
0.73
0.68
0.72
0.69
0.78
0.69
0.72
0.7
0.67
0.72
0.66
0.71
0.7
0.66
0.74
0.72
0.73
Section
Reading
Vocabulary
Item No
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
p-value
0.63
0.64
0.61
0.59
0.6
0.62
0.59
0.62
0.61
0.57
0.64
0.62
0.65
0.62
0.62
0.62
0.63
0.59
0.58
0.61
item discrimination value
0.69
0.69
0.69
0.74
0.73
0.76
0.78
0.7
0.65
0.72
0.61
0.65
0.67
0.7
0.73
0.7
0.73
0.66
0.71
0.71
Section
Vocabulary
Item No
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
p-value
0.58
0.62
0.57
0.63
0.6
0.6
0.64
0.61
0.64
0.63
0.74
0.7
0.7
0.68
0.67
0.68
0.68
0.66
0.64
0.64
item discrimination value
0.73
0.7
0.68
0.69
0.69
0.73
0.68
0.74
0.7
0.73
0.63
0.67
0.64
0.63
0.62
0.7
0.64
0.63
0.66
0.68
Section
Vocabulary
Item No
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
p-value
0.64
0.62
0.64
0.62
0.56
0.61
0.64
0.61
0.63
0.65
0.69
0.62
0.65
0.66
0.65
0.69
0.62
0.65
0.68
0.66
item discrimination value
0.66
0.71
0.69
0.7
0.71
0.63
0.67
0.65
0.62
0.64
0.64
0.68
0.66
0.67
0.68
0.65
0.67
0.65
0.64
0.64
Section
Grammar
Item No
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
p-value
0.66
0.64
0.68
0.63
0.66
0.69
0.66
0.68
0.71
0.7
0.69
0.7
0.71
0.71
0.75
0.71
0.78
0.74
0.77
0.76
item discrimination value
0.69
0.7
0.61
0.69
0.66
0.69
0.72
0.76
0.67
0.67
0.67
0.69
0.63
0.65
0.63
0.66
0.65
0.65
0.64
0.63
Section
Grammar
Item No
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
p-value
0.74
0.75
0.74
0.77
0.74
0.74
0.7
0.69
0.7
0.62
0.63
0.63
0.64
0.58
0.57
0.64
0.57
0.61
0.61
0.66
item discrimination value
0.55
0.54
0.52
0.55
0.52
0.59
0.57
0.62
0.61
0.6
0.7
0.62
0.61
0.58
0.64
0.6
0.68
0.68
0.65
0.67
Section
Grammar
Functional Language
Item No
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
p-value
0.59
0.61
0.64
0.64
0.63
0.63
0.66
0.68
0.65
0.64
0.64
0.69
0.69
0.69
0.69
0.69
0.74
0.73
0.77
0.74
item discrimination value
0.71
0.69
0.67
0.63
0.64
0.67
0.7
0.65
0.68
0.71
0.67
0.63
0.6
0.64
0.64
0.64
0.59
0.62
0.57
0.6
Section
Functional Language
Item No
141
142
143
144
145
146
147
148
149
150
p-value
0.75
0.76
0.77
0.78
0.81
0.83
0.85
0.81
0.84
0.72
item discrimination value
0.6
0.59
0.59
0.63
0.63
0.59
0.6
0.59
0.59
0.63
Các file đính kèm theo tài liệu này:
- A study on the reliability of the final achievement computer-based mcqs test 1 for the 4th semester non - english majors at hanoi university of busine.doc