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    A. ACQUISITION OF KNOWLEDGE

    10 MEANING OF TEST, MEASUREMENT AND EVALUATION

    1.1Test Test is a systematic way to measure changes in an individuals

    behavior (R.M Gadge, 1965)

    In the class, test is measuring instrument to obtain information

    regarding pupils learning activities and achievement in the cognitive,

    psychomotor or effective fields.

    Test able to show pupils explicitly in the form of activities such as

    answer questions orally or written form or through demonstration.

    The testing process begins from the preparation stage, follow by theimplementation (administration) stage and ends up with an

    assessment stage. Through these stages of testing process, a teacher

    will be able to find weather his pupils have successfully mastered

    certain skill and acquired the knowledge which has been learned.

    1.1Measurement

    Measurement is a process or system used to determine the

    quantitative value of a certain test in learning. This quantitative value is usually expressed in a fixed number.

    Measurement covers all aspects of testing, including the use of

    ordinal scale or interval scale to determine the position and

    achievement of pupils in the class or among classes.

    Ordinary scale is a measuring instrument use to rank pupils grades

    or positions according to the marks obtain in certain test.

    Interval scale which contains unit of mark with the same weightage

    in its value is not only used to determine pupils performance andachievement.

    1.1Evaluation

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    Evaluation is defined as processes to determine obtains and provide

    useful information so as to make objective consideration for follow

    up action (D. Stufflebeam, 1971).

    Evaluation is system or process which covers activities to collect

    information relating to strategy of teaching learning activities and

    to analysis and interpretation of result, with the aim to take

    appropriate follow up action

    Evaluation have 5 stages which is

    i. Test preparation

    ii. Test implementation

    iii. Assessment and measurement

    iv. Analysis of result

    v. Interpretation and follow up action

    10 THE AIMS OF TEST, MEASUREMENT AND EVALUATION

    1.1Aim of test

    To determine changes in pupils behaviour.

    To determine pupils achievement in certain learning.

    To place pupils in suitable groups according to the test result.

    To motivate pupils to revise their lessons.

    To train pupils to make appropriate preparation for public examination.

    1.1aim of measurement

    To determine level of achievement and positions of pupils in the same

    class or among several classes.

    To make comparison between pupils achievement and positions in

    certain subject or their overall academic achievement.

    To allocate pupils for appropriate streaming.

    To make analysis, interpretation and conclusion for certain research

    based on the result of measurement.

    To award certificates as a form of academic achievement in certain

    school level.

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    Use as criteria for the relevant authority to refer for certain purpose.

    1.1Aim of evaluation

    To collect information concerning pupils achievement after teaching-

    learning activities.

    To determine pupils strength and weaknesses in learning certain skill

    so as to plan for enrichment or remedial activities.

    To determine the effect of teachers presentation in class so as to plan

    for more effective teaching strategy.

    To determine the achievement of pre determined learning objectives

    so as to plan for teaching-learning activities that follow.

    To record the evaluation results in the individuals Performance and

    Profile Record.

    To assess the effectiveness of implementing a certain new programme,

    such as the KBSR or KBSM programme.

    10 EVALUATION OF STUDENTS:

    1.1Formative And Summative Tests

    The types of evaluation namely:

    1. Evaluation to certain the effect in skill mastering

    Conducted in class while teacher is carrying out the lesson.

    The aim is to find out the weaknesses which can be corrected on

    the spot. (Informal Test).

    1. Evaluation to ascertain the effect in learning progress

    Carried out after several related skills have been completed in a

    class.

    The aim is to try to understand pupils progress in learning certain

    skills so as to determine groups of pupils who need enrichment or

    remedial activities.

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    The results of this type of evaluation are usually written in Student

    Performance Record.

    1. Evaluation to ascertain the effect in achievement

    Carried out after teacher has taught a few learning topics. Held

    before the end of a school term.

    The aim is to differentiate the pupils achievement after a few

    learning topics, so as to determine the positions in their respective

    learning groups.

    Carried out in a formal way involves many important skills which

    are required to assess a pupils level of achievement.

    3.1.1 Formative and Summative test

    Type

    AspectFormative test Summative test

    concept

    A type of formal or informal test

    to assess the effectiveness of skill

    mastering and progress of

    learning in class

    A type of formal test to assess

    pupils achievement in certain

    schooling level.

    Aim

    To ascertain the effectiveness of

    skill mastering and pupils

    progress, to correct their

    weaknesses immediately

    To determine pupils

    achievement based on a few

    learning units, and arrange

    their grade levels accordingly.

    Activity

    To carry out formal and informal

    test individually, in groups or in

    class during learning.

    To use a few periods to carry

    out formal test in class or

    form.

    TimeTo carry out after teaching one or

    several skills

    To carry out after teaching a

    few learning units.

    Format

    Informal (observation and

    question-answer) or, formal

    (paper-pencil test in a short

    duration)

    Formal: paper-pencil test or

    oral test within a suitable time

    period.

    TargetIndividually, groups or the whole

    class.

    The whole class or form.

    CoverageCovers certain skill (informal test)

    or a few skills (formal test).

    Cover a few learning units or

    certain schooling level.

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    Record

    No record (for informal test), and

    the use of check list/performance

    record (for formal test).

    Profile record or certificate.

    Follow up

    action

    Correct weaknessesimmediately or carry out

    remedial/enrichment

    activities in class.

    Replacing pupils in suitable

    learning groups.

    Place pupils in suitablegroups/class.

    Plan and modify

    lesson/curriculum.

    Award certificates

    based on achievement

    in examination.

    1.1.2 Norm Referenced And Criterion Referenced Evaluation

    Type

    AspectNorm-referenced evaluation

    Criterion-referenced

    evaluation

    Concept

    Relative-achievement evaluation

    which shows performance of

    groups of candidates in the form

    of a normal graph

    Objective-referenced

    evaluation which determines

    individual achievement based

    on a minimum criterion fived

    earlier

    Aim

    To compare and distinguish

    performance between candidates

    or between groups.

    To determine the ability to

    master learning based on

    certain fixed criterion.

    Uses

    Summative test to distinguish

    candidates in performance level

    of distinction, credit, pass and

    fail.

    Formative test to improve

    teaching learning based on

    the test result.

    Target

    Comparison of performance

    among candidates.

    Determination of performance

    individually or in small groups.

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    Question

    characteristic

    Question arranged from easy to

    difficult, and with discrimination

    among candidates.

    All questions have almost the

    same level of difficulty based

    on learning objective

    Grading

    Passing mark or grading isdetermined after the test result.

    Passing marks or grading isdetermined before the test is

    carried out.

    Coverage

    Question content covers a wide

    range of learning skills.

    Question content

    concentrates on limited

    learning skills.

    Examples

    Public examinations such as

    UPSR, PMR, SPM and STPM.

    Short test, course work,

    written exercise, and learning

    activities, project.

    10 SCHOOL BASED EVALUATION: PKSR AND PKSM

    Evaluation activity used to gauge the overall development of pupils.

    PKSR (Penilaian Kendalian Sekolah Rendah) or as known as Primary School

    Based Evaluation and PKSM (Penilaian Kendalian Sekolah Menengah) orSecondary School Based Evaluation.

    All instrument used for the test are designed by the teachers themselves,

    with the assistance and guidance from the district education officer. Is not a

    national public examination.

    Evaluating carried out by teacher during teaching-learning activities in the

    classroom so as to ascertain the pupils progress, based on the aims and

    objectives of KBSR or KBSM programme.

    Information obtained from the School Based Evaluation is usually used toplan and carry out follow up activity.

    The aim to improve teachers teaching-learning programme and upgrade the

    performance of the pupils learning.

    4.1 Aim and Roles of Evaluation in KBSR/KBSM

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    i. To improve pupils learning modifying the teaching-learning activities

    based on the result obtained from the School Based Evaluation.

    ii. To understand clearly the pupils learning strength and weaknesses so

    that appropriate follow up activity can be carried out to assist them

    overcome their weaknesses that have been identified.

    iii. To stimulate pupils so that they will improve their learning through the

    teachers advice and guidance according to the result of the School Based

    Evaluation.

    iv. To prepare pupils to accommodate themselves in the testing situation

    through continuous evaluation.

    v. To raise the standard of evaluation by constructing test items of good

    quality, so that the process of measuring pupils learning becomes more

    effective and meaningful.

    vi. To improve the teachers ability and efficiency in conducting tests with

    better standard and subsequently upgrade their performance in teaching-

    learning activities.

    10 TEST CONSTRUCTION

    The characteristics of test

    characteris

    tics

    Categor

    ies

    Description

    Validity What is correct and accurateFace

    Validity

    Assessing what it is supposed to test

    Checked by teachers who specialized on the topics

    which are constructed as test items.

    First stage of test construction.

    Aim: to ensure that test constructed will be valid

    and acceptable.

    Good way to prepare earlier a Test Blue Print

    (Table of Specification) for certain topic or subject.

    Criterion-

    Related

    Validity

    To compare scores on a certain assessment with values

    from some external criterion.

    1. Predictive validity

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    The ability to predict the capability or

    qualification of an individual in carrying out

    certain duty or work in future.

    Example: Trial examinations of UPSR, PMR, SPM

    and STPM.

    1. Concurrent validity

    Refer to individuals achievement in a test

    which is highly correlated with the achievement

    of a previous similar test.

    Conducting similar test so as to correlate it with

    the result of a previous test. If the result of the

    two test s has high correlation, then we can

    conclude that this test contains characteristics

    of high concurrent validity.

    1. Construct validity

    The matching between the assessment and

    those attributes which are presumed to

    underlie test performance.

    The underlying attributes should include all

    previous skills related to the assessment of the

    attributes or constructs.

    Reliability A test refers to the extent of how close a particular

    result of the test is to the true value of what is

    being assessed.

    The consistency of a candidates achievement as a

    result of several but similar tests taken duringvarious time periods, such a few days or a week.

    If the test reliable, their scores obtained would

    tend to cluster around the proper score which is

    assumed as a standard score.

    If the value of correlation coefficient is above 0.9,

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    then we can safely conclude that the tests are

    reliable.

    Use split half reliability to conduct the test only

    once by splitting it into two equivalent halves,

    dividing the odd and even items with similar

    attributes, and then assesses their values of

    correlation coefficient. It would avoid interferences

    or other influences that may occur between the

    intervals of the two tests held, thus reducing the

    chance of variation in scores due to the forgetting,

    or improvement of the candidates under test.

    Construct two completely parallel forms and the

    same test, and to be held concurrently or

    subsequently.

    Objectivity A test refers to the accuracy of an examiner in

    marking any candidates answers. A test is said to

    contain characteristic of objectivity.

    The examiner awards the same mark to the same

    answer of all the candidates, according to the

    marking scheme has been determined earlier. Limited structures responses are tests which

    contain the characteristic of true objectivity, only

    one correct answer.

    Free responses (low objectivity): essay type test

    different examiners to award mark directly and

    accurately.

    Improve by using analytic marking scheme i.e.

    main points are given appropriate marks so as tobecome a general guidance.

    Administra

    bility

    The smooth implementation of the testing process

    in a room or an examination hall.

    Orderly arrangement of the examination centre

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    before the test, so that it can be carried out

    according to the scheduled time, directive can be

    forwarded clearly to every candidate.

    Improved through several ways, such as

    preparation of a reasonable number of questions

    according to the time allocated; tables and chairs.

    If the whole process of conducting a test from the

    beginning stage of preparing the question papers

    until the ending stage of marking the candidates

    answer script can be carried out smoothly

    according to scheduled time table with minimum

    cost.

    Accessibility

    The result of candidates achievement, which canbe easily interpreted and assessed by way of

    providing clear and useful information according to

    the objective of test.

    The test must easy to collect, assess and interpret

    so as to reflect clear and accurate pictures of the

    test performance.

    The evaluation result based from the interpretation

    will provide correct depiction on the candidatesachievement and placing, their strength and

    weaknesses, suitability of teaching-learning

    strategy and test items, as well as the

    achievement of teaching-learning objective in the

    class.

    10 PLANNING A TEST

    1.1Determine aim of testing.

    First step in planning a test is to determine its aim. After identifying the aim of

    the test, the next stage of planning will be made easier. Teacher must

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    determine the type of test or its format, i.e. whether it is suitable to use a

    subjective test or an objective test format.

    1.2Determine test content.

    Based on the aim of the test and the type of test to be used, and then select

    learning content to be tested. It is stressed that the selected factual knowledge

    and skills as test content must be based on the syllabus. Level of skill must be

    reflected accurately in each test item. It is includes some or all levels of

    knowledge, understanding, application, analysis, synthesis and evaluation.

    Levels Description1. Knowledge To test the ability of the candidate to recall certain fact

    meaning, term, principle, law or definitions that havebeen learned.

    Example:

    The integer 8 is read as

    A. minus 8

    B. negative 8

    C. subtract 8

    D. negative 8 units

    1. Understandin

    g

    To test the ability of understanding or skill, including the

    ability to explain certain fact, concept, principle, law or

    theory.

    Example:

    A glass of water is at freezing point of 0 C. When salt is

    added, its

    Temperature drops by 3C. What is the new

    temperature of the water?

    A. 3 C

    B. + 3 C

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    C. - 3 C

    D. 3 C below zero

    1. Application To test the ability of using fact, concept, principle, law,theory, knowledge or skill for problem solving.

    Example:

    Tee took 2 hours 35 minutes by bus to reach his

    grandmothers house. If Tee arrived at his

    grandmothers house at 1.25 p.m., at what time did he

    leave his house?

    A. 11.50 a.m

    B. 10.50 a.m

    C. 9.50 a.m

    D. 10.10 a.m

    1. Analysis To test the ability to compare and contrast, relate or to

    extract the attributes of the concept, knowledge or skill

    that have been learned.

    Example:

    Azlina spent a few months preparing for her SPM

    examination. Based on the given statement, state the

    unknown involved.

    A. Making preparations

    B. The number of months

    C. SPM examination

    D. Azlina

    1. Synthesis To test the ability to combine or integrate knowledge or

    skills learned for problem solving.

    Example:

    In Diagram 6, EFG is a right-angled triangle.

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    Diagram 6

    The value of x is

    A. 40

    B. 50

    C. 60

    D. 70

    1. Evaluation This level is to test the ability to prove, to evaluate, tocriticize, to infer or to conclude a certain statement.

    Example:

    What are the limitations of Phytogoras Therem?

    i. Cannot use for acute-angled triangle.

    ii. Cannot use for right-angled triangle.

    iii. Cannot use for obtuse-angled triangle.

    A. i, ii

    B. ii, iiiC. i, iii

    D. i, ii, iii

    1.1Formulate Test Blue Print.

    Test Blue Print contains two important elements which is topics (represented

    along the vertical axis) and skill levels (represented along the vertical axis).

    We can ensure that skills learned will be tested comprehensively as well as

    its wightage of each skill level is appropriately allocated.

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    Table below is From 1 Test Blue Print Semester 2 which contains 40

    Mathematics items.

    1.2Construct items/questions.

    Referring the formulated Test Blue Prints, teacher can set the test questions,

    usually prepared in either the form of subjective questions or objective items.

    1.3Check items/questions.

    After setting the items/questions, the teacher must check them carefully so that

    they do not contain any mistake before the test administered. Teacher can

    check the items based on format, content and language used during the

    TOPIC

    I II III IV V VITOTAL

    KNW COMPH APL AN SYN EVA

    m p s m p s m p s m p s m p s m p s m p s

    WHOLE NUMBERS 1 1 1 1 0 4 0

    NUMBER PATTERNSAND SEQUENCES 1 1 1 1 1 1

    FRACTIONS 1 1 1 1 1 1 2 2

    DECIMALS 1 1 1 0 3 0

    PERCENTAGES

    1 1 1 1 2 1 1

    INTEGERS 1 1 1 1 0

    ALGEBRAIC

    EXPRESSIONS 1 1 1 2 1 0BASICMEASUREMENTS 1 1 1 1 1 1 2

    LINE ANDANGLES

    1 1 1 1 1 1

    POLYGONS 1 1 1 0 2 1

    PERIMETER ANDAREA 1 1 1 0 3 0

    SOLID GEOMETRY 1 1 1 1 0 2

    TOTAL m/p/s 3 2 2 1 3 2 1 5 2 1 4 1 2 4 1 2 2 2

    10

    20

    10

    TOTAL 7 6 8 6 7 6

    PERCENTAGE 17.50% 15.00% 20.00% 15.00% 17.50% 15.00%

    35.00%

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    process of test construction. The teacher must to ensure that instructions given

    are clear and simple to understand, time allocated is reasonable and the

    arrangement of items are from easy to difficult and in a sequential order

    according to the pre determined Test Blue Print.

    6.6 Pre Test

    The main aims of having a pre test are to ensure that questions which have

    been set contain good and characteristics. Information collected from this pre

    test will assist teacher to correct weaknesses found in the items. Some of the

    good items can be used as questions for actual test later.

    20 ANALYSIS AND INTERPRETATION OF ITEMS/QUESTIONS2.1Difficulty index

    Difficulty Index, D.I=Number of candidates who answer the question correctly

    (C)Total candidates who attempt the item (T)

    Difficulty Index, D.I=CH+CLTH+L

    CH = Total number of candidates in the high score group who answer

    correctly the

    item/question.

    CL = Total number of candidates in the low score group who answer

    correctly the

    item/question.

    T H+L = Total number of candidates in both groups with high and low scores

    Difficulty Index (D.I) Interpretation of and

    item

    Decision

    D.I

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    0.3 D.I0.8 Average Accept

    D.I >0.8 Too easy Modify

    7.2 Discrimination index

    Difficulty Index, Ds.I=CH-CL12TH+L

    CH = Total number of candidates in the high score group who answer

    correctly the

    item/question.

    CL = Total number of candidates in the low score group who answer

    correctly the

    item/question.

    T H+L = Total number of candidates in both groups with high and low scores

    Discrimination Index

    (Ds.I)

    Interpretation of and

    itemDecision

    Ds. I. > 0.4Positive Discrimination

    High

    Very suitable and can be

    accepted

    0.2 Ds.I.0.4Positive Discrimination

    Moderate

    Modify the item /

    question.

    0 Ds.I.0.20

    Positive Discrimination

    low

    Item / question needs to

    be reconstructed.

    Ds.I.

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    1. Design the format: at the top part of the question paper, write the name

    of the test, instructions, date, marks and time allocated.

    2. Select question from the Question Bank by referring Blue Print Test.

    3. Arrange the item selected from simple to difficult.

    4. Determine the marks to be given for each question.

    5. Item must be typed with double/triple spacing so that they can be read

    easily.

    6. Check again all the items to ensure that they do not contain any mistake

    in terms of language, structures and content.

    1.1Administration of the test

    1.1.1 Preparation Stage

    1. Checking of the number of test question paper which have

    prepared.

    2. The candidates seating must be arranged according to certain

    examination rules.

    3. All facilities needed for the test such wall clock, candidates seating

    plan, and other instrument.

    1.1.1 Implementation Stage

    Candidates usually 15 minutes in the test room before the test begin,

    they must sit according to their respective allocated places, an

    question papers as well as writing papers will then distributed by the

    invigilators.

    1.1.2 Coordination

    Collecting the candidates answer scripts according to their indexs

    numbers, including those unused writing papers. All the answer scripts

    must be checked to ensure that the number of scripts collected is the

    same as the number of the candidates.

    1.2Marking Scheme for Subjective Tests

    1. The content criterion that covers the information aspect or related fact of

    the answer.

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    2. The organization criterion that covers the aspect of accurate usage of

    language and the skill of the presenting ideas logically and maturely

    3. The process criterion that covers the aspect of accuracy, suitability,

    perfectness, consistency, originality and creativity contained in the

    candidates answer.

    1.1.1 Analytical Approach

    The marking scheme can be allocated or divided into three components

    namely:

    1. Content (content criterion) =12

    2. Presentation (organization criterion) =4

    3. Technique (process criterion) =4

    Total mark =20

    9.0 ANALYSIS AND INTERPRETATION OF TEST RESULT

    There have 4 stages of evaluation process.

    1. Collect arrange students score.

    2. Measurement of mean, mode, median and standard deviation.

    3. Make analysis on representative data.

    4. Interpretation based on analyzed data.

    9.1 Cumulative Frequency Distributions: Ogive

    - The total number of values that fall below various scores of the frequency

    distribution.

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    Score X

    From the ogive, we can find:

    1. The number of candidates who obtained less than 74 mark

    2. The number of candidates who fail, if the passing mark is 60 and above

    3. The % of the candidates who would obtain grade A.

    9.2 Percentage Ogive

    Relative cumulative frequency polygon

    A graph in which the upper class boundary of each class boundary is plotted

    against the corresponding relative (%) cumulative frequency.

    9.3 Histogram

    Displays the class boundaries in the horizontal axis and the frequencies on

    the vertical axis.

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    Consist a set of rectangles on the horizontal axis with the class marks at the

    centre of each rectangular based in which the length is equal to the

    respective class width.

    From the graph we will identify the number of candidates obtained by certain

    arrange percentage marks.

    9.4 Frequency Polygon

    A line graph with class frequency plotted against class mark. Normally

    constructed by joining the mid points of the tops of each rectangle in the

    histogram.

    9.5 Frequency Curve

    It is similar to frequency polygon but the point plotted as a smooth curve.

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    Some common types of frequency curves which is

    1. Normal Curve

    The observations equidistant from the central axis are having the same

    frequency

    1. Positive Skewed Curve

    The curve possessed positive skewness

    1. Negative Skewed Curve

    The curve possessed negative skewness

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    10. INTERPRETATIONS OF STATISTICAL DATA

    10.1 Normal Distribution Curve

    a) If the measure of dispersion the standard deviation, of a normal curve is

    large, we can conclude that the achievement or performance of the students

    is varied and heterogeneous.

    b) If the measure of dispersion is small then the performance of the students is

    approximately the same or homogeneous.

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    10.2 Positive Skewed Curve

    a) Mode

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    A. TRANSFER OF KNOWLEDGE

    10 TEST BLUE PRINT (REFER APPENDIX 1)

    20 TEST ITEMS (REFER APPENDIX 2)

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    30 MARKING SCHEME

    Answer:

    1. A) 5 957 14. D) 1, 2 AND 4

    2. B) 8 15. C) 12

    3. D) 1 939 464 16. D) 2, 3 AND 5

    4. D) 2 146 17. C) 941

    5. C) 639 18. B) 47,1626

    6. A) 35 911 19. D) 7112

    7. A) 112 20. C) 13790

    8. C) 318 21. D) 4712

    9. B) 114 22. A) 278

    10.

    C) 3 384 23. A) 58

    11

    .

    A) I AND II 24. C) 8914

    12

    .

    C) 160 25. A) RM 528.90

    13

    .

    D) CUSTOMER 60TH

    A. TESTING AND EVALUATION

    10 ANALYZE TEST SCORE AND ITEMS (REFER APPENDIX 3)

    1.1 Difficulty Index

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    From the table in Appendix 3, I pick question 6, 10, and 21 as example to

    calculate the difficulty index and discrimination index as follow:

    I allot 25% of total candidates as the high score group and 25% of total

    candidates as the low score group.

    Number of candidate in the high score group = 25% x 52 = 13

    Number of candidate in the low score group = 25% x 52 = 13

    Question No. 6

    DIFFICULTY INDEX

    For small number of candidates For large number of candidates

    Total correct answers (C) = 40

    Total number of candidates (T) = 52

    Difficulty Index=CT=4052=0.77

    Total number with high score correct

    (CH) = 12

    Total number with high score correct

    (CL) = 4

    Total candidates (TH+L) = 26

    Difficulty

    Index=CH+CLT(H+L)=(12+4)26=0.6

    Question No. 10

    DIFFICULTY INDEX

    For small number of candidates For large number of candidates

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    Total correct answers (C) = 31

    Total number of candidates (T) = 52

    Difficulty Index=CT=3152=0.6

    Total number with high score correct

    (CH) = 12

    Total number with high score correct

    (CL) = 5

    Total candidates (TH+L) = 26

    Difficulty

    Index=CH+CLT(H+L)=(12+5)26=0.7

    Question No. 21

    DIFFICULTY INDEX

    For small number of candidates For large number of candidates

    Total correct answers (C) = 39

    Total number of candidates (T) = 52

    Difficulty Index=CT=3952=0.75

    Total number with high score correct

    (CH) = 11

    Total number with high score correct

    (CL) = 6

    Total candidates (TH+L) = 26

    Difficulty

    Index=CH+CLT(H+L)=(11+6)26=0.6

    5

    1.2 Discrimination Index

    Question No. 6

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    DIFFICULTY INDEX

    For large number of candidates

    Total number with high score correct (CH) = 12

    Total number with high score correct (CL) = 4

    Total candidates (TH+L) = 26

    Difficulty Index=CH+CL12T(H+L)=(12-4)1226=0.6

    2.0 INTERPRET THE OUTCOMES OF THE TEST

    2.1 Cumulative Frequency Distribution: Ogive

    Table 2.1 Frequency Distribution

    Score (X) Frequency

    92 1

    88 1

    84 3

    80 8

    72 3

    68 4

    64 8

    60 556 3

    52 6

    48 3

    44 2

    40 2

    36 1

    32 2

    Table 2.2 Cumulative Frequency Distribution

    Score (X) Sum Cumulative

    30 3+0 3

    40 7+3 10

    50 9+10 19

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    60 17+19 36

    70 3+36 39

    80 12+39 51

    90 1+51 52

    100 0+52 52

    Figure 2.1 Ogive

    2.2 Percentage Ogive

    Table 2.3 Cumulative Frequency and Relative (%) Cumulative Distribution

    Score (X)Class limits

    Frequency

    Cumulativefrequency of(less than)

    % cumulativefrequency

    30.5-35.5 2 2 3

    35.5-40.5 4 6 11.5

    40.5-45.5 5 11 21

    45.5-50.5 3 14 27

    50.5-55.5 6 20 38.4

    55.5-60.5 3 22 42.3

    60.5-65.5 10 32 61.5

    65.5-70.5 4 36 69

    70.5-75.5 3 39 75

    75.5-80.5 8 47 90

    80.5-85.5 3 50 96

    85.5-90.5 1 51 98

    90.5-95.5 1 52 100

    Figure 2.2: % Ogive2.3 Histogram

    Figure 2.3: Histogram

    2.4 Frequency Polygon

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    Figure 2.4: Frequency Polygon

    Figure 2.5: Frequency Polygon

    2.5 Frequency Curve

    Figure 2.6: Frequency Curve (Positive skewed curve)

    2.6 Mean

    2.4 Frequency distribution of ungrouped scores.

    Score (X) Frequency

    (F)

    FX

    92 1 92

    88 1 88

    84 3 252

    80 8 640

    72 3 216

    68 4 272

    64 8 512

    60 5 300

    56 3 168

    52 6 312

    48 3 144

    44 2 88

    40 2 80

    36 1 36

    32 2 64

    F=52 FX=3264

    Mean, x=FXF= 326452=62.77

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    2.7 Median

    Median is a value in the middle of an array of a set of data. It is values that divide

    the bottom 505 of a group of data arranged is ascending order, from the top 50% of

    the data.

    Table 2.5 Cumulative Frequency

    Score (X)Class limits

    Frequency Cumulativefrequency cf

    30.5-35.5 2 2

    35.5-40.5 4 6

    40.5-45.5 5 11

    45.5-50.5 3 14

    50.5-55.5 5 19

    55.5-60.5 3 22 (s)(L) 60.5-65.5

    10 (fm) 32

    65.5-70.5 4 36

    70.5-75.5 3 39

    75.5-80.5 8 47

    80.5-85.5 3 50

    85.5-90.5 1 51

    90.5-95.5 1 52

    Median, M= L+N2-sfm x C

    = 60.5+522-2210 x 5

    = 62.5 63

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    2.8 Mode

    The mode is the value which has the greatest frequency, i.e. the value which occur

    the most often.

    Table 2.6 Frequency Distributions of grouped data

    Score (X)Class limits

    Frequency

    30.5-35.5 2

    35.5-40.5 4

    40.5-45.5 5

    45.5-50.5 3

    50.5-55.5 6

    55.5-60.5 3

    60.5-65.5 10

    65.5-70.5 4

    70.5-75.5 3

    75.5-80.5 8

    80.5-85.5 3

    85.5-90.5 1

    90.5-95.5 1

    Mode=L+ 11+2C

    =60.5+ 10-310-3+10-45

    =60.5+2.69

    =63

    2.9 Interpretations of Statistical Data

    From the calculation above, I find the following:

    Median =63

    Mode =63

    Mean =63

    Modal Class HighestFrequency

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    Normal Distribution Curve

    Mean= Median=Mode

    A. REFLECTION

    10 Focused on Issues

    I learned the various methods of testing and evaluation of this assignment. My first task is to

    do some research about testing and evaluation. After I was finishing study the items from

    this topic I was preparing my blue print test from the test specification table or JPU. From

    this part I have learned how to provide the question by referring the JPU. I was deciding

    what types of skills that I want to test of my students. From the Taxonomy Blooms skill level,

    I can identify the question which is suitable with my students levels. The JPU help me to

    divide the questions test following the skill and difficulty level of the questions. After that,

    I chose the questions from various sources such as School Bank question, references book

    and exercise book that will be used during the test. In this test I choose four skills which are

    knowledge, comprehension, application and evaluation.

    20 Analysis Issues

    2.1StrengthI have been done this test of students in Form1. There are 54 students in this class,

    but two of them not attend to school. The test result shows 13 of the student was

    getting grade A which is they have more than 80 percent correct answer from the

    test given. Only three students not pass in this test. From the result, I have do

    analysis to find the difficulty index and discrimination index of the questions. I found

    76 percent of indicates were achieving 0.3 to 0.8 index value. It is means the

    question is suitable for test. 52 percents of test items have positive discrimination

    high which is the items is very suitable and can be accepted.

    In addition, I found the value of mean, median and mode have the same value which

    is 63. It is shows the question the achievement or performance of the students is

    varied and heterogeneous.

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    2.2Weakness

    There are some of the questions are too easy and too difficult.

    30 Implementation

    I will make improvements at the time of the test questions will come. The selection of an

    appropriate question to be given to students is important to ensure that all tests carried

    out effectively.

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