Item Analysis.pptx

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    ANALYZING AND

    INTERPRETING OF

    TEST ITEMS

    LEONCIO P. LUMABAN, Ph.D.

    Education Program Supervisor II

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    Meaning of Numbers

    Numbers ascodesfor labeling purposes(nominal)

    1= girl 2=boy

    1= RURAL 2= URBAN

    1=PGMA 2=RR 3=EV 4=PL 5=FPJ

    1 = 11 2

    Stud

    No.

    Gender Location Choice

    1 1 1 1

    2 2 2 1

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    Meaning of Numbers

    Numbers ascodesfor labeling purposes(nominal)

    1= girl 2=boy

    1= RURAL 2= URBAN

    1=PGMA 2=RR 3=EV 4=PL 5=FPJ

    1 = 11 2

    Stud

    No.

    Gender Location Choice

    1 1 1 1

    2 2 2 1

    What can you infer from the data givenon table below?

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    Application in the classroom

    Numbers to label

    categories

    1 = Fail

    2 = Pass

    3 = Advanced level

    2 = Intermediate

    1 = Beginning

    Frequency distribution

    by group

    Stud.

    No

    Lang

    Prof

    Grade

    1 2 2

    2 1 1

    3 3 2

    N 1 1

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    Application in the classroom

    Numbers to label

    categories

    1 = Fail

    2 = Pass

    3 = Advanced level

    2 = Intermediate

    1 = Beginning

    Frequency distribution

    by group

    Stud.

    No

    Lang

    Prof

    Grade

    1 2 2

    2 1 1

    3 3 2

    N 1 1

    Based on the table, when do you fail orpass a student?

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    Numbers asarbitrary measuresfor

    indicating amount or degree based onan arbitrary zero point (interval)

    Math = 60

    Attitude Scale = 25

    temperature = 30 degrees

    0 n

    0

    If your score is zero in ameasuring instrument thatis in interval scale, how

    will you interpret it?

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    Numbers astrue measures

    indicating

    measures using scales with true zero

    point ( ratio)

    5 meters

    3 kilos

    true numerical scales

    0 n

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    Numbers astrue measures

    indicating

    measures using scales with true zero

    point ( ratio)

    5 meters

    3 kilos

    true numerical scales

    0 n

    If your score is zero in a measuring

    instrument that is in ratio scale, howshould you interpret it?

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    Test Results Raw scores

    Raw score(RS)numerical summary of astudents test performance

    number of items correctly answered ( one

    correct item gets one point)30correct items out of 50items

    number of points received on a test ( regardless

    of the number of points given to an item/task)30points out of 50possible points

    ( Each task = 10 max points)

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    Some assumptions prior to analysis..

    Scores are coming from good tests!

    A good test consists of good items!

    What is a good item?

    Measures a significant learning outcome.

    (CONTENT VALIDITY)

    Discriminates between one who knows and one who

    doesnt know; between high-achieving and low-

    achieving (CONSTRUCT VALIDITY)

    Distracters effective (multiple-choice items)

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    ITEM ANALYSIS for Summative

    Tests (norm-referenced perspective)

    Item analysis is good for planning future norm-

    referenced tests

    Can be used for instructional purposes

    I-A data provide basis for efficient class discussion ofthe test results

    I-A data provide a basis for remedial work

    I-A data provide a basis for the general improvement

    of classroom instruction

    I-A procedures provide a basis for increased skill in

    test construction

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    ITEM ANALYSIS for Summative

    Tests (norm-referenced perspective)

    Ability to Discriminate It should not be very easyevery one will get it!

    It should not be very difficultNo one will get it!

    Simplified I-A procedures

    Classroom

    Compare the performance of the highest-scoring

    students and the lowest-scoring students Large classtop ten vs bottom ten

    Small classtop half vs bottom half

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    Sample Item Analysis Data

    Item CardSubject: _____________ Unit: WeatherObjective: Identifies use of instruments

    Item:Which of the following is most useful in

    weather forecasting?A. Anemometer

    * B. BarometerC. ThermometerD. Rain gauge

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    Sample

    Group A B C D

    U-10

    L-10

    1

    2

    8

    4

    0

    1

    1

    3

    (Back of item card)Item Analysis Data

    Diff.Index

    DiscIndex

    .60 0.40

    1

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    Sample

    Group A B C D

    U-10

    L-10

    1

    2

    8

    4

    0

    1

    1

    3

    (Back of item card)Item Analysis Data

    Diff.

    Index

    Disc

    Index

    0.60 0.401

    How was the difficulty/discrimination indexcomputed?

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    ITEM ANALYSIS for Summative

    Tests (norm-referenced perspective)

    Indices:

    Difficulty Index = No. of students in upper group

    getting item correct + No. of students in lower group

    getting item correct/ total no. of students who took the

    test

    p = RH + RL

    N

    Discrimination Index = No of students in upper group

    getting item correctNo of students in lower group

    getting item correct / of the no. of students who

    took the test

    r = (RHRL)

    Ng

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    ITEM ANALYSIS for Summative

    Tests (norm-referenced perspective)

    Where R = # of correct responses

    H = high group

    L = low group

    N = # of students

    g = size or # of students in either high/low group

    Difficulty (p) indices Discrimination indices0.91 - 0.95 very easy 0.40 or higherVery Good Item0.76 - 0.90 easy 0.300.39 - Good Item0.25 - 0.75 average 0. 200.29 - Reasonably Good Item0.100.24 difficult 0.10- 0.19 Marginal Item0.050.09 very difficult Below 0.10- Poor Item

    I h di i f h l f h i l i

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    In the discussion of the results of the item analysis,the item needs to be revised or rejected when:

    Almost all in both groups are able to answer theitemBoth groups find the item too difficult such thatalmost none are able to answer the item correctly

    When a negative d is obtained (i.e., more in thelow group answered the item

    Additional information to help you decide which

    items to eliminate from a test, before it is againadministered is to analyze the distractors or options.

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    Poor distractorSome distractors are not chosenat all by all students in the upper group.

    Example : A B C D*4 0 0 9

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    ITEM improvement and selection

    Guidelines:1. Consideration based on difficulty index and

    discrimination index

    Discrimination Index Difficulty Index0.24 or lower 0.250.75 0.76 or higher

    0.40 and above (Very Good item) Difficult Acceptable Easy

    0.300.39 (Good item) Difficult Improvable Easy

    0.200.29 (Reasonably Good item) Difficult Marginal Easy

    0.10 -0.19 (Marginal Item)

    Below 0.10 (Poor item)Rejected Rejected Rejected

    (Kept for Mastery)