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PDU 303 PSIKOMETRIK
ITEM ANALYSIS
SEMESTER GASAL 2015/2016
FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA
KULIAH VI & VII - 18 & 25 SEPTEMBER 2015
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK
(ITEM) TEST
REVISION
(ITEM) TEST

TRYOUT
(ITEM) TEST
CONCEPTUALIZATION
(ITEM) TEST DEVELOPMENT
2
(ITEM) TEST
CONSTRUCTION
(ITEM) TEST
ANALYSIS
(Cohen & Swerdlik, 2009, p. 245-246)ICON CREDITS: Idea by Lorenzo Alfano, Construction by Creative Stall,

Flask by Cornelius Danger, Calculator by Creative Stall,

Bandage by misirlou; from the Noun Project
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK
(ITEM) TEST ANALYSIS
Item analysis is a general term

for a set of methods used to evaluate test items;
Item analysis is a term broadly used to define

the computation and examination of any statistical property

of examinees’ responses to an individual item.
3
(Kaplan & Saccuzzo, 2013, p. 170;

Crocker & Algina, 2008, p. 311)
ICON CREDITS: Calculator by Creative Stall; from the Noun Project
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK
ANALYSIS OF THE ITEM
SHOULD BE DONE
THROUGH THESE
METHODS.
(ITEM) TEST ANALYSIS
4
QUALITATIVE ANALYSIS
QUANTITATIVE ANALYSIS
ICON CREDITS: Calculator by Creative Stall, Conversations by Gregory Radek,

Abacus by Zlatko Najdenovski; from the Noun Project
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK
QUALITATIVE (ITEM) TEST ANALYSIS
Qualitative item analysis is a general term for

various nonstatistical procedures designed to explore

how individual test items work.
The analysis compares individual test items to

each other and to the test as a whole.
In contrast to statistically based procedures,

qualitative methods involve exploration of the issues

through verbal means such as interviews and group discussions

conducted with testtakers and other relevant parties.
5
(Cohen & Swerdlik, 2009, p. 277)
ICON CREDIT: Conversations by Gregory Radek; from the Noun Project
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK
“THINK ALOUD” EXPERT PANELS
QUALITATIVE (ITEM) TEST ANALYSIS
6
ICON CREDITS: Conversations by Gregory Radek, Smoke by Petr Papasov,

Glasses by Anton Anuchin; from the Noun Project
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK
…designed to shed light on
the testtaker’s thought
processes during the
administration of a test.
…to have feedbacks from the
experts about the item
content.
“THINK ALOUD” EXPERT PANELS
QUALITATIVE (ITEM) TEST ANALYSIS
6
(Cohen & Swerdlik, 2009, p. 278-279)ICON CREDITS: Conversations by Gregory Radek, Smoke by Petr Papasov,

Glasses by Anton Anuchin; from the Noun Project
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK
QUANTITATIVE (ITEM) TEST ANALYSIS
(Quantitative) Item analysis is a term broadly used

to define the computation and examination

of any statistical property

of examinees’ responses to an individual item.
7
(Crocker & Algina, 2008, p. 311)
ICON CREDIT: Abacus by Zlatko Najdenovski; from the Noun Project
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK
ITEM DISCRIMINATION ITEM DIFFICULTY
QUANTITATIVE (ITEM) TEST ANALYSIS
8
ICON CREDITS: Abacus by Zlatko Najdenovski, Zoom by Ryan Canning,

Check Mark by Patrizia Daidone, Trial and Error by Arthur Shlain; from the Noun Project
DISTRACTOR ANALYSIS
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK
QUANTITATIVE (ITEM) TEST ANALYSIS
Item discrimination refers to

the degree to which an item differentiates correctly

among test takers in the behavior

that the test os designed to measure.
9
ICON CREDIT: Abacus by Zlatko Najdenovski; from the Noun Project
ITEM DISCRIMINATION
(Anastasi & Urbina, 1997, p. 179)
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK
QUANTITATIVE (ITEM) TEST ANALYSIS
Index of Discrimination (D-Index)
10
ITEM DISCRIMINATION
(Crocker & Algina, 2008, p. 314)
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK
QUANTITATIVE (ITEM) TEST ANALYSIS
Index of Discrimination (D-Index)
10
ITEM DISCRIMINATION
(Crocker & Algina, 2008, p. 314)
SUBJECT ITEM 1 ITEM 2 ITEM 3 ITEM 4 ITEM 5 … TOTAL
S001 0 0 1 1 1 34
S002 1 1 1 1 0 43
S003 0 1 1 0 1 32
S098 0 0 1 1 1 40
S099 0 1 0 1 1 33
S100 1 0 1 0 0 36
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK
QUANTITATIVE (ITEM) TEST ANALYSIS
Index of Discrimination (D-Index)
11
ITEM DISCRIMINATION
(Crocker & Algina, 2008, p. 314)
SUBJECT ITEM 1 ITEM 2 ITEM 3 ITEM 4 ITEM 5 … TOTAL
S063 1 1 0 1 1 46
S002 1 1 0 1 0 43
S008 1 1 0 1 1 43
S005 0 1 1 1 0 28
S068 0 1 0 0 0 28
S075 0 1 1 0 1 25
pu 0,778 0,778 0,556 0,704 0,704
pl 0,519 0,667 0,593 0,556 0,519
D 0,259 0,111 -0,037 0,548 0,185
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK
QUANTITATIVE (ITEM) TEST ANALYSIS
Index of Discrimination (D-Index)
11
ITEM DISCRIMINATION
(Crocker & Algina, 2008, p. 314)
SUBJECT ITEM 1 ITEM 2 ITEM 3 ITEM 4 ITEM 5 … TOTAL
S063 1 1 0 1 1 46
S002 1 1 0 1 0 43
S008 1 1 0 1 1 43
S005 0 1 1 1 0 28
S068 0 1 0 0 0 28
S075 0 1 1 0 1 25
pu 0,778 0,778 0,556 0,704 0,704
pl 0,519 0,667 0,593 0,556 0,519
D 0,259 0,111 -0,037 0,548 0,185
HIGH

GROUP
LOW

GROUP
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK
QUANTITATIVE (ITEM) TEST ANALYSIS
Index of Discrimination (D-Index)
11
ITEM DISCRIMINATION
(Crocker & Algina, 2008, p. 314)
SUBJECT ITEM 1 ITEM 2 ITEM 3 ITEM 4 ITEM 5 … TOTAL
S063 1 1 0 1 1 46
S002 1 1 0 1 0 43
S008 1 1 0 1 1 43
S005 0 1 1 1 0 28
S068 0 1 0 0 0 28
S075 0 1 1 0 1 25
pu 0,778 0,778 0,556 0,704 0,704
pl 0,519 0,667 0,593 0,556 0,519
D 0,259 0,111 -0,037 0,548 0,185
HIGH

GROUP
LOW

GROUP
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK
QUANTITATIVE (ITEM) TEST ANALYSIS
Index of Discrimination (D-Index)
12
ITEM DISCRIMINATION
D = pu - pl
INTERPRETATION
D ≥ ,40 functioning quite satisfactory
,30 ≤ D ≤ ,39 little/no revised is required
,20 ≤ D ≤ ,29 marginal and needs revision
D ≤ ,19 should be eliminated/completely revised
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK
QUANTITATIVE (ITEM) TEST ANALYSIS
Index of Discrimination (D-Index)
12
ITEM DISCRIMINATION
D = pu - pl
(Crocker & Algina, 2008, p. 315)
INTERPRETATION
D ≥ ,40 functioning quite satisfactory
,30 ≤ D ≤ ,39 little/no revised is required
,20 ≤ D ≤ ,29 marginal and needs revision
D ≤ ,19 should be eliminated/completely revised
NO WELL-KNOWN
SAMPLING DISTRIBUTION
It is not possible to answer questions such as
what D-value is significantly greater than zero,
or how large a difference between D-values is
statistically significant?
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK
QUANTITATIVE (ITEM) TEST ANALYSIS
t Test for Two Independent Samples
13
ITEM DISCRIMINATION
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK
QUANTITATIVE (ITEM) TEST ANALYSIS
t Test for Two Independent Samples
13
ITEM DISCRIMINATION
SUBJECT ITEM 1 ITEM 2 ITEM 3 ITEM 4 ITEM 5 … TOTAL
S001 0 0 1 1 1 34
S002 1 1 1 1 0 43
S003 0 1 1 0 1 32
S098 0 0 1 1 1 40
S099 0 1 0 1 1 33
S100 1 0 1 0 0 36
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK
QUANTITATIVE (ITEM) TEST ANALYSIS
t Test for Two Independent Samples
14
ITEM DISCRIMINATION
SUBJECT ITEM 1 ITEM 2 ITEM 3 ITEM 4 ITEM 5 … TOTAL
S063 1 1 0 1 1 46
S002 1 1 0 1 0 43
S008 1 1 0 1 1 43
S005 0 1 1 1 0 28
S068 0 1 0 0 0 28
S075 0 1 1 0 1 25
t 2,006 1,162 0,009 2,374 1,743
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK
QUANTITATIVE (ITEM) TEST ANALYSIS
t Test for Two Independent Samples
14
ITEM DISCRIMINATION
SUBJECT ITEM 1 ITEM 2 ITEM 3 ITEM 4 ITEM 5 … TOTAL
S063 1 1 0 1 1 46
S002 1 1 0 1 0 43
S008 1 1 0 1 1 43
S005 0 1 1 1 0 28
S068 0 1 0 0 0 28
S075 0 1 1 0 1 25
t 2,006 1,162 0,009 2,374 1,743
HIGH

GROUP
LOW

GROUP
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK
QUANTITATIVE (ITEM) TEST ANALYSIS
t Test for Two Independent Samples
14
ITEM DISCRIMINATION
SUBJECT ITEM 1 ITEM 2 ITEM 3 ITEM 4 ITEM 5 … TOTAL
S063 1 1 0 1 1 46
S002 1 1 0 1 0 43
S008 1 1 0 1 1 43
S005 0 1 1 1 0 28
S068 0 1 0 0 0 28
S075 0 1 1 0 1 25
t 2,006 1,162 0,009 2,374 1,743
HIGH

GROUP
LOW

GROUP
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK
QUANTITATIVE (ITEM) TEST ANALYSIS
t Test for Two Independent Samples
15
ITEM DISCRIMINATION
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK
QUANTITATIVE (ITEM) TEST ANALYSIS
t Test for Two Independent Samples
15
ITEM DISCRIMINATION
SUBJECT ITEM 1 ITEM 2 ITEM 3 ITEM 4 ITEM 5 … TOTAL
S001 4 1 1 3 2 145
S002 2 1 3 4 1 140
S003 1 1 1 4 4 145
S098 5 7 6 6 6 332
S099 4 5 7 4 5 326
S100 7 5 4 4 6 316
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK
QUANTITATIVE (ITEM) TEST ANALYSIS
t Test for Two Independent Samples
16
ITEM DISCRIMINATION
SUBJECT ITEM 1 ITEM 2 ITEM 3 ITEM 4 ITEM 5 … TOTAL
S062 8 7 10 10 9 526
S055 7 8 10 8 10 523
S004 9 10 9 8 9 522
S086 3 3 1 3 2 139
S081 2 2 1 3 1 137
S044 1 1 4 2 1 133
t 2,160 2,406 2,502 2,829 3,016
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK
QUANTITATIVE (ITEM) TEST ANALYSIS
t Test for Two Independent Samples
16
ITEM DISCRIMINATION
SUBJECT ITEM 1 ITEM 2 ITEM 3 ITEM 4 ITEM 5 … TOTAL
S062 8 7 10 10 9 526
S055 7 8 10 8 10 523
S004 9 10 9 8 9 522
S086 3 3 1 3 2 139
S081 2 2 1 3 1 137
S044 1 1 4 2 1 133
t 2,160 2,406 2,502 2,829 3,016
HIGH

GROUP
LOW

GROUP
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK
QUANTITATIVE (ITEM) TEST ANALYSIS
t Test for Two Independent Samples
16
ITEM DISCRIMINATION
SUBJECT ITEM 1 ITEM 2 ITEM 3 ITEM 4 ITEM 5 … TOTAL
S062 8 7 10 10 9 526
S055 7 8 10 8 10 523
S004 9 10 9 8 9 522
S086 3 3 1 3 2 139
S081 2 2 1 3 1 137
S044 1 1 4 2 1 133
t 2,160 2,406 2,502 2,829 3,016
HIGH

GROUP
LOW

GROUP
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK
QUANTITATIVE (ITEM) TEST ANALYSIS
Correlational Indices
17
ITEM DISCRIMINATION
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK
QUANTITATIVE (ITEM) TEST ANALYSIS
Correlational Indices
17
ITEM DISCRIMINATION
SUBJECT ITEM 1 ITEM 2 ITEM 3 TOTAL
S001 9 9 1 219
S002 10 9 1 215
S003 9 7 6 195
S004 10 9 5 219
S005 10 10 10 206
S006 10 5 4 172
S007 9 9 4 189
S008 8 8 2 190
S009 9 6 4 158
S010 8 6 4 179
… … … … ...
S100 8 8 3 168
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK
QUANTITATIVE (ITEM) TEST ANALYSIS
Correlational Indices
18
ITEM DISCRIMINATION
SUBJECT ITEM 1 ITEM 2 ITEM 3 TOTAL SUM 1 SUM 2 SUM 3
S001 9 9 1 219 210 210 218
S002 10 9 1 215 205 206 214
S003 9 7 6 195 186 188 189
S004 10 9 5 219 209 210 214
S005 10 10 10 206 196 196 196
S006 10 5 4 172 162 167 168
S007 9 9 4 189 180 180 185
S008 8 8 2 190 182 182 188
S009 9 6 4 158 149 152 154
S010 8 6 4 179 171 173 175
… … … … ... … … …
S100 8 8 3 168 160 160 165
r 0,337 0,787 -0,187
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK
QUANTITATIVE (ITEM) TEST ANALYSIS
Correlational Indices
18
ITEM DISCRIMINATION
SUBJECT ITEM 1 ITEM 2 ITEM 3 TOTAL SUM 1 SUM 2 SUM 3
S001 9 9 1 219 210 210 218
S002 10 9 1 215 205 206 214
S003 9 7 6 195 186 188 189
S004 10 9 5 219 209 210 214
S005 10 10 10 206 196 196 196
S006 10 5 4 172 162 167 168
S007 9 9 4 189 180 180 185
S008 8 8 2 190 182 182 188
S009 9 6 4 158 149 152 154
S010 8 6 4 179 171 173 175
… … … … ... … … …
S100 8 8 3 168 160 160 165
r 0,337 0,787 -0,187
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK
QUANTITATIVE (ITEM) TEST ANALYSIS
Correlational Indices
19
ITEM DISCRIMINATION
X
CONTINUOUS
‘REAL’

DICHOTOMOUS
‘DUMMY’
DICHOTOMOUS
Y
CONTINUOUS Pearson Point Biserial Biserial
‘REAL’

DICHOTOMOUS Biserial Phi-Coefficient Phi-Coefficient
‘DUMMY’
DICHOTOMOUS Point Biserial Phi-Coefficient Tetrachoric
(Crocker & Algina, 2008, p. 316-319)
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK
QUANTITATIVE (ITEM) TEST ANALYSIS
The difficulty of an item

is defined in terms of

the percentage (or proportion) of persons

who answer it correctly.
20
ICON CREDIT: Abacus by Zlatko Najdenovski; from the Noun Project
ITEM DIFFICULTY
(Anastasi & Urbina, 1997, p. 173)
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK
QUANTITATIVE (ITEM) TEST ANALYSIS
21
ITEM DIFFICULTY
SUBJECT ITEM 1 ITEM 2 ITEM 3 ITEM 4 ITEM 5 … ITEM 60
S001 0 0 1 1 1 … 1
S002 1 1 1 1 0 … 1
S003 0 1 1 0 1 … 1
S004 1 1 1 0 1 … 1
S005 0 1 1 1 0 … 1
S006 1 1 1 1 0 … 1
S007 0 1 1 1 0 … 0
S008 1 1 1 1 1 … 1
S009 1 0 1 0 0 … 1
S010 1 1 1 0 0 … 1
… … … … … … … …
S100 1 0 1 0 0 … 0
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK
QUANTITATIVE (ITEM) TEST ANALYSIS
22
ITEM DIFFICULTY
SUBJECT ITEM 1 ITEM 2 ITEM 3 ITEM 4 ITEM 5 … ITEM 60
S001 0 0 1 1 1 … 1
S002 1 1 1 1 0 … 1
S003 0 1 1 0 1 … 1
S004 1 1 1 0 1 … 1
S005 0 1 1 1 0 … 1
S006 1 1 1 1 0 … 1
S007 0 1 1 1 0 … 0
S008 1 1 1 1 1 … 1
S009 1 0 1 0 0 … 1
S010 1 1 1 0 0 … 1
… … … … … … … …
S100 1 0 1 0 0 … 0
f1 61 74 98 45 33 … 86
p 0,610 0,740 0,980 0,450 0,330 … 0,860
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK
QUANTITATIVE (ITEM) TEST ANALYSIS
22
ITEM DIFFICULTY
SUBJECT ITEM 1 ITEM 2 ITEM 3 ITEM 4 ITEM 5 … ITEM 60
S001 0 0 1 1 1 … 1
S002 1 1 1 1 0 … 1
S003 0 1 1 0 1 … 1
S004 1 1 1 0 1 … 1
S005 0 1 1 1 0 … 1
S006 1 1 1 1 0 … 1
S007 0 1 1 1 0 … 0
S008 1 1 1 1 1 … 1
S009 1 0 1 0 0 … 1
S010 1 1 1 0 0 … 1
… … … … … … … …
S100 1 0 1 0 0 … 0
f1 61 74 98 45 33 … 86
p 0,610 0,740 0,980 0,450 0,330 … 0,860
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK
QUANTITATIVE (ITEM) TEST ANALYSIS
However,

the possible effect of guessing

must be taken into account when considering

items of the selected-response variety.
With this type of item,

the optimal average item difficulty is usually

the mid-point between 1,00 and the chance success proportion,

defined as the probability of answering correctly by random guessing.
23
ICON CREDIT: Abacus by Zlatko Najdenovski; from the Noun Project
ITEM DIFFICULTY
(Cohen & Swerdlik, 2009, p. 268)
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK
QUANTITATIVE (ITEM) TEST ANALYSIS
The quality of each alternative

within a multiple-choice item

can be readily assessed with reference

to the comparative performance

of upper and lower scorers.
No formulas or statistics are necessary here.
24
ICON CREDIT: Abacus by Zlatko Najdenovski; from the Noun Project
DISTRACTOR ANALYSIS
(Cohen & Swerdlik, 2009, p. 271)
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK
QUANTITATIVE (ITEM) TEST ANALYSIS
25
ICON CREDIT: Abacus by Zlatko Najdenovski; from the Noun Project
DISTRACTOR ANALYSIS
a b c d e
U 24 3 2 0 3
L 7 6 7 7 5
ITEM1
a b c d e
U 2 13 3 2 12
L 6 7 5 7 7
ITEM2
a b c d e
U 0 0 32 0 0
L 3 2 22 2 3
ITEM3
a b c d e
U 14 0 0 5 13
L 7 0 0 16 9
ITEM4
* *
**
FAKULTAS PSIKOLOGI
UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK 26
WANT TO KNOW MORE?
ANASTASI, A. & URBINA, S. (1997). PSYCHOLOGICAL TESTING (7TH ED.). UPPER
SADDLE RIVER, NJ: PRENTICE-HALL, INC.
COHEN, R.J. & SWERDLIK, M.E. (2009). PSYCHOLOGICAL TESTING AND
ASSESSMENT: AN INTRODUCTION TO TESTS AND MEASUREMENT (7TH ED.).
BOSTON, MA: MCGRAW-HILL HIGHER EDUCATION.
CROCKER, L. & ALGINA, J. (2008). INTRODUCTION TO CLASSICAL AND
MODERN TEST THEORY. MASON, OH: CENGAGE LEARNING.
KAPLAN, R.M. & SACCUZZO, D.P. (2013). PSYCHOLOGICAL TESTING:
PRINCIPLES, APPLICATIONS, AND ISSUES (8TH ED.). BELMONT, CA:
WADSWORTH, CENGAGE LEARNING.

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PDU 303 Psychometrics: Item Analysis

  • 1. PDU 303 PSIKOMETRIK ITEM ANALYSIS SEMESTER GASAL 2015/2016 FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA KULIAH VI & VII - 18 & 25 SEPTEMBER 2015
  • 2. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK (ITEM) TEST REVISION (ITEM) TEST
 TRYOUT (ITEM) TEST CONCEPTUALIZATION (ITEM) TEST DEVELOPMENT 2 (ITEM) TEST CONSTRUCTION (ITEM) TEST ANALYSIS (Cohen & Swerdlik, 2009, p. 245-246)ICON CREDITS: Idea by Lorenzo Alfano, Construction by Creative Stall,
 Flask by Cornelius Danger, Calculator by Creative Stall,
 Bandage by misirlou; from the Noun Project
  • 3. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK (ITEM) TEST ANALYSIS Item analysis is a general term
 for a set of methods used to evaluate test items; Item analysis is a term broadly used to define
 the computation and examination of any statistical property
 of examinees’ responses to an individual item. 3 (Kaplan & Saccuzzo, 2013, p. 170;
 Crocker & Algina, 2008, p. 311) ICON CREDITS: Calculator by Creative Stall; from the Noun Project
  • 4. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK ANALYSIS OF THE ITEM SHOULD BE DONE THROUGH THESE METHODS. (ITEM) TEST ANALYSIS 4 QUALITATIVE ANALYSIS QUANTITATIVE ANALYSIS ICON CREDITS: Calculator by Creative Stall, Conversations by Gregory Radek,
 Abacus by Zlatko Najdenovski; from the Noun Project
  • 5. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK QUALITATIVE (ITEM) TEST ANALYSIS Qualitative item analysis is a general term for
 various nonstatistical procedures designed to explore
 how individual test items work. The analysis compares individual test items to
 each other and to the test as a whole. In contrast to statistically based procedures,
 qualitative methods involve exploration of the issues
 through verbal means such as interviews and group discussions
 conducted with testtakers and other relevant parties. 5 (Cohen & Swerdlik, 2009, p. 277) ICON CREDIT: Conversations by Gregory Radek; from the Noun Project
  • 6. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK “THINK ALOUD” EXPERT PANELS QUALITATIVE (ITEM) TEST ANALYSIS 6 ICON CREDITS: Conversations by Gregory Radek, Smoke by Petr Papasov,
 Glasses by Anton Anuchin; from the Noun Project
  • 7. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK …designed to shed light on the testtaker’s thought processes during the administration of a test. …to have feedbacks from the experts about the item content. “THINK ALOUD” EXPERT PANELS QUALITATIVE (ITEM) TEST ANALYSIS 6 (Cohen & Swerdlik, 2009, p. 278-279)ICON CREDITS: Conversations by Gregory Radek, Smoke by Petr Papasov,
 Glasses by Anton Anuchin; from the Noun Project
  • 8. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK QUANTITATIVE (ITEM) TEST ANALYSIS (Quantitative) Item analysis is a term broadly used
 to define the computation and examination
 of any statistical property
 of examinees’ responses to an individual item. 7 (Crocker & Algina, 2008, p. 311) ICON CREDIT: Abacus by Zlatko Najdenovski; from the Noun Project
  • 9. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK ITEM DISCRIMINATION ITEM DIFFICULTY QUANTITATIVE (ITEM) TEST ANALYSIS 8 ICON CREDITS: Abacus by Zlatko Najdenovski, Zoom by Ryan Canning,
 Check Mark by Patrizia Daidone, Trial and Error by Arthur Shlain; from the Noun Project DISTRACTOR ANALYSIS
  • 10. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK QUANTITATIVE (ITEM) TEST ANALYSIS Item discrimination refers to
 the degree to which an item differentiates correctly
 among test takers in the behavior
 that the test os designed to measure. 9 ICON CREDIT: Abacus by Zlatko Najdenovski; from the Noun Project ITEM DISCRIMINATION (Anastasi & Urbina, 1997, p. 179)
  • 11. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK QUANTITATIVE (ITEM) TEST ANALYSIS Index of Discrimination (D-Index) 10 ITEM DISCRIMINATION (Crocker & Algina, 2008, p. 314)
  • 12. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK QUANTITATIVE (ITEM) TEST ANALYSIS Index of Discrimination (D-Index) 10 ITEM DISCRIMINATION (Crocker & Algina, 2008, p. 314) SUBJECT ITEM 1 ITEM 2 ITEM 3 ITEM 4 ITEM 5 … TOTAL S001 0 0 1 1 1 34 S002 1 1 1 1 0 43 S003 0 1 1 0 1 32 S098 0 0 1 1 1 40 S099 0 1 0 1 1 33 S100 1 0 1 0 0 36
  • 13. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK QUANTITATIVE (ITEM) TEST ANALYSIS Index of Discrimination (D-Index) 11 ITEM DISCRIMINATION (Crocker & Algina, 2008, p. 314) SUBJECT ITEM 1 ITEM 2 ITEM 3 ITEM 4 ITEM 5 … TOTAL S063 1 1 0 1 1 46 S002 1 1 0 1 0 43 S008 1 1 0 1 1 43 S005 0 1 1 1 0 28 S068 0 1 0 0 0 28 S075 0 1 1 0 1 25 pu 0,778 0,778 0,556 0,704 0,704 pl 0,519 0,667 0,593 0,556 0,519 D 0,259 0,111 -0,037 0,548 0,185
  • 14. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK QUANTITATIVE (ITEM) TEST ANALYSIS Index of Discrimination (D-Index) 11 ITEM DISCRIMINATION (Crocker & Algina, 2008, p. 314) SUBJECT ITEM 1 ITEM 2 ITEM 3 ITEM 4 ITEM 5 … TOTAL S063 1 1 0 1 1 46 S002 1 1 0 1 0 43 S008 1 1 0 1 1 43 S005 0 1 1 1 0 28 S068 0 1 0 0 0 28 S075 0 1 1 0 1 25 pu 0,778 0,778 0,556 0,704 0,704 pl 0,519 0,667 0,593 0,556 0,519 D 0,259 0,111 -0,037 0,548 0,185 HIGH
 GROUP LOW
 GROUP
  • 15. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK QUANTITATIVE (ITEM) TEST ANALYSIS Index of Discrimination (D-Index) 11 ITEM DISCRIMINATION (Crocker & Algina, 2008, p. 314) SUBJECT ITEM 1 ITEM 2 ITEM 3 ITEM 4 ITEM 5 … TOTAL S063 1 1 0 1 1 46 S002 1 1 0 1 0 43 S008 1 1 0 1 1 43 S005 0 1 1 1 0 28 S068 0 1 0 0 0 28 S075 0 1 1 0 1 25 pu 0,778 0,778 0,556 0,704 0,704 pl 0,519 0,667 0,593 0,556 0,519 D 0,259 0,111 -0,037 0,548 0,185 HIGH
 GROUP LOW
 GROUP
  • 16. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK QUANTITATIVE (ITEM) TEST ANALYSIS Index of Discrimination (D-Index) 12 ITEM DISCRIMINATION D = pu - pl INTERPRETATION D ≥ ,40 functioning quite satisfactory ,30 ≤ D ≤ ,39 little/no revised is required ,20 ≤ D ≤ ,29 marginal and needs revision D ≤ ,19 should be eliminated/completely revised
  • 17. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK QUANTITATIVE (ITEM) TEST ANALYSIS Index of Discrimination (D-Index) 12 ITEM DISCRIMINATION D = pu - pl (Crocker & Algina, 2008, p. 315) INTERPRETATION D ≥ ,40 functioning quite satisfactory ,30 ≤ D ≤ ,39 little/no revised is required ,20 ≤ D ≤ ,29 marginal and needs revision D ≤ ,19 should be eliminated/completely revised NO WELL-KNOWN SAMPLING DISTRIBUTION It is not possible to answer questions such as what D-value is significantly greater than zero, or how large a difference between D-values is statistically significant?
  • 18. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK QUANTITATIVE (ITEM) TEST ANALYSIS t Test for Two Independent Samples 13 ITEM DISCRIMINATION
  • 19. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK QUANTITATIVE (ITEM) TEST ANALYSIS t Test for Two Independent Samples 13 ITEM DISCRIMINATION SUBJECT ITEM 1 ITEM 2 ITEM 3 ITEM 4 ITEM 5 … TOTAL S001 0 0 1 1 1 34 S002 1 1 1 1 0 43 S003 0 1 1 0 1 32 S098 0 0 1 1 1 40 S099 0 1 0 1 1 33 S100 1 0 1 0 0 36
  • 20. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK QUANTITATIVE (ITEM) TEST ANALYSIS t Test for Two Independent Samples 14 ITEM DISCRIMINATION SUBJECT ITEM 1 ITEM 2 ITEM 3 ITEM 4 ITEM 5 … TOTAL S063 1 1 0 1 1 46 S002 1 1 0 1 0 43 S008 1 1 0 1 1 43 S005 0 1 1 1 0 28 S068 0 1 0 0 0 28 S075 0 1 1 0 1 25 t 2,006 1,162 0,009 2,374 1,743
  • 21. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK QUANTITATIVE (ITEM) TEST ANALYSIS t Test for Two Independent Samples 14 ITEM DISCRIMINATION SUBJECT ITEM 1 ITEM 2 ITEM 3 ITEM 4 ITEM 5 … TOTAL S063 1 1 0 1 1 46 S002 1 1 0 1 0 43 S008 1 1 0 1 1 43 S005 0 1 1 1 0 28 S068 0 1 0 0 0 28 S075 0 1 1 0 1 25 t 2,006 1,162 0,009 2,374 1,743 HIGH
 GROUP LOW
 GROUP
  • 22. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK QUANTITATIVE (ITEM) TEST ANALYSIS t Test for Two Independent Samples 14 ITEM DISCRIMINATION SUBJECT ITEM 1 ITEM 2 ITEM 3 ITEM 4 ITEM 5 … TOTAL S063 1 1 0 1 1 46 S002 1 1 0 1 0 43 S008 1 1 0 1 1 43 S005 0 1 1 1 0 28 S068 0 1 0 0 0 28 S075 0 1 1 0 1 25 t 2,006 1,162 0,009 2,374 1,743 HIGH
 GROUP LOW
 GROUP
  • 23. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK QUANTITATIVE (ITEM) TEST ANALYSIS t Test for Two Independent Samples 15 ITEM DISCRIMINATION
  • 24. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK QUANTITATIVE (ITEM) TEST ANALYSIS t Test for Two Independent Samples 15 ITEM DISCRIMINATION SUBJECT ITEM 1 ITEM 2 ITEM 3 ITEM 4 ITEM 5 … TOTAL S001 4 1 1 3 2 145 S002 2 1 3 4 1 140 S003 1 1 1 4 4 145 S098 5 7 6 6 6 332 S099 4 5 7 4 5 326 S100 7 5 4 4 6 316
  • 25. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK QUANTITATIVE (ITEM) TEST ANALYSIS t Test for Two Independent Samples 16 ITEM DISCRIMINATION SUBJECT ITEM 1 ITEM 2 ITEM 3 ITEM 4 ITEM 5 … TOTAL S062 8 7 10 10 9 526 S055 7 8 10 8 10 523 S004 9 10 9 8 9 522 S086 3 3 1 3 2 139 S081 2 2 1 3 1 137 S044 1 1 4 2 1 133 t 2,160 2,406 2,502 2,829 3,016
  • 26. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK QUANTITATIVE (ITEM) TEST ANALYSIS t Test for Two Independent Samples 16 ITEM DISCRIMINATION SUBJECT ITEM 1 ITEM 2 ITEM 3 ITEM 4 ITEM 5 … TOTAL S062 8 7 10 10 9 526 S055 7 8 10 8 10 523 S004 9 10 9 8 9 522 S086 3 3 1 3 2 139 S081 2 2 1 3 1 137 S044 1 1 4 2 1 133 t 2,160 2,406 2,502 2,829 3,016 HIGH
 GROUP LOW
 GROUP
  • 27. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK QUANTITATIVE (ITEM) TEST ANALYSIS t Test for Two Independent Samples 16 ITEM DISCRIMINATION SUBJECT ITEM 1 ITEM 2 ITEM 3 ITEM 4 ITEM 5 … TOTAL S062 8 7 10 10 9 526 S055 7 8 10 8 10 523 S004 9 10 9 8 9 522 S086 3 3 1 3 2 139 S081 2 2 1 3 1 137 S044 1 1 4 2 1 133 t 2,160 2,406 2,502 2,829 3,016 HIGH
 GROUP LOW
 GROUP
  • 28. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK QUANTITATIVE (ITEM) TEST ANALYSIS Correlational Indices 17 ITEM DISCRIMINATION
  • 29. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK QUANTITATIVE (ITEM) TEST ANALYSIS Correlational Indices 17 ITEM DISCRIMINATION SUBJECT ITEM 1 ITEM 2 ITEM 3 TOTAL S001 9 9 1 219 S002 10 9 1 215 S003 9 7 6 195 S004 10 9 5 219 S005 10 10 10 206 S006 10 5 4 172 S007 9 9 4 189 S008 8 8 2 190 S009 9 6 4 158 S010 8 6 4 179 … … … … ... S100 8 8 3 168
  • 30. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK QUANTITATIVE (ITEM) TEST ANALYSIS Correlational Indices 18 ITEM DISCRIMINATION SUBJECT ITEM 1 ITEM 2 ITEM 3 TOTAL SUM 1 SUM 2 SUM 3 S001 9 9 1 219 210 210 218 S002 10 9 1 215 205 206 214 S003 9 7 6 195 186 188 189 S004 10 9 5 219 209 210 214 S005 10 10 10 206 196 196 196 S006 10 5 4 172 162 167 168 S007 9 9 4 189 180 180 185 S008 8 8 2 190 182 182 188 S009 9 6 4 158 149 152 154 S010 8 6 4 179 171 173 175 … … … … ... … … … S100 8 8 3 168 160 160 165 r 0,337 0,787 -0,187
  • 31. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK QUANTITATIVE (ITEM) TEST ANALYSIS Correlational Indices 18 ITEM DISCRIMINATION SUBJECT ITEM 1 ITEM 2 ITEM 3 TOTAL SUM 1 SUM 2 SUM 3 S001 9 9 1 219 210 210 218 S002 10 9 1 215 205 206 214 S003 9 7 6 195 186 188 189 S004 10 9 5 219 209 210 214 S005 10 10 10 206 196 196 196 S006 10 5 4 172 162 167 168 S007 9 9 4 189 180 180 185 S008 8 8 2 190 182 182 188 S009 9 6 4 158 149 152 154 S010 8 6 4 179 171 173 175 … … … … ... … … … S100 8 8 3 168 160 160 165 r 0,337 0,787 -0,187
  • 32. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK QUANTITATIVE (ITEM) TEST ANALYSIS Correlational Indices 19 ITEM DISCRIMINATION X CONTINUOUS ‘REAL’
 DICHOTOMOUS ‘DUMMY’ DICHOTOMOUS Y CONTINUOUS Pearson Point Biserial Biserial ‘REAL’
 DICHOTOMOUS Biserial Phi-Coefficient Phi-Coefficient ‘DUMMY’ DICHOTOMOUS Point Biserial Phi-Coefficient Tetrachoric (Crocker & Algina, 2008, p. 316-319)
  • 33. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK QUANTITATIVE (ITEM) TEST ANALYSIS The difficulty of an item
 is defined in terms of
 the percentage (or proportion) of persons
 who answer it correctly. 20 ICON CREDIT: Abacus by Zlatko Najdenovski; from the Noun Project ITEM DIFFICULTY (Anastasi & Urbina, 1997, p. 173)
  • 34. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK QUANTITATIVE (ITEM) TEST ANALYSIS 21 ITEM DIFFICULTY SUBJECT ITEM 1 ITEM 2 ITEM 3 ITEM 4 ITEM 5 … ITEM 60 S001 0 0 1 1 1 … 1 S002 1 1 1 1 0 … 1 S003 0 1 1 0 1 … 1 S004 1 1 1 0 1 … 1 S005 0 1 1 1 0 … 1 S006 1 1 1 1 0 … 1 S007 0 1 1 1 0 … 0 S008 1 1 1 1 1 … 1 S009 1 0 1 0 0 … 1 S010 1 1 1 0 0 … 1 … … … … … … … … S100 1 0 1 0 0 … 0
  • 35. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK QUANTITATIVE (ITEM) TEST ANALYSIS 22 ITEM DIFFICULTY SUBJECT ITEM 1 ITEM 2 ITEM 3 ITEM 4 ITEM 5 … ITEM 60 S001 0 0 1 1 1 … 1 S002 1 1 1 1 0 … 1 S003 0 1 1 0 1 … 1 S004 1 1 1 0 1 … 1 S005 0 1 1 1 0 … 1 S006 1 1 1 1 0 … 1 S007 0 1 1 1 0 … 0 S008 1 1 1 1 1 … 1 S009 1 0 1 0 0 … 1 S010 1 1 1 0 0 … 1 … … … … … … … … S100 1 0 1 0 0 … 0 f1 61 74 98 45 33 … 86 p 0,610 0,740 0,980 0,450 0,330 … 0,860
  • 36. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK QUANTITATIVE (ITEM) TEST ANALYSIS 22 ITEM DIFFICULTY SUBJECT ITEM 1 ITEM 2 ITEM 3 ITEM 4 ITEM 5 … ITEM 60 S001 0 0 1 1 1 … 1 S002 1 1 1 1 0 … 1 S003 0 1 1 0 1 … 1 S004 1 1 1 0 1 … 1 S005 0 1 1 1 0 … 1 S006 1 1 1 1 0 … 1 S007 0 1 1 1 0 … 0 S008 1 1 1 1 1 … 1 S009 1 0 1 0 0 … 1 S010 1 1 1 0 0 … 1 … … … … … … … … S100 1 0 1 0 0 … 0 f1 61 74 98 45 33 … 86 p 0,610 0,740 0,980 0,450 0,330 … 0,860
  • 37. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK QUANTITATIVE (ITEM) TEST ANALYSIS However,
 the possible effect of guessing
 must be taken into account when considering
 items of the selected-response variety. With this type of item,
 the optimal average item difficulty is usually
 the mid-point between 1,00 and the chance success proportion,
 defined as the probability of answering correctly by random guessing. 23 ICON CREDIT: Abacus by Zlatko Najdenovski; from the Noun Project ITEM DIFFICULTY (Cohen & Swerdlik, 2009, p. 268)
  • 38. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK QUANTITATIVE (ITEM) TEST ANALYSIS The quality of each alternative
 within a multiple-choice item
 can be readily assessed with reference
 to the comparative performance
 of upper and lower scorers. No formulas or statistics are necessary here. 24 ICON CREDIT: Abacus by Zlatko Najdenovski; from the Noun Project DISTRACTOR ANALYSIS (Cohen & Swerdlik, 2009, p. 271)
  • 39. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK QUANTITATIVE (ITEM) TEST ANALYSIS 25 ICON CREDIT: Abacus by Zlatko Najdenovski; from the Noun Project DISTRACTOR ANALYSIS a b c d e U 24 3 2 0 3 L 7 6 7 7 5 ITEM1 a b c d e U 2 13 3 2 12 L 6 7 5 7 7 ITEM2 a b c d e U 0 0 32 0 0 L 3 2 22 2 3 ITEM3 a b c d e U 14 0 0 5 13 L 7 0 0 16 9 ITEM4 * * **
  • 40. FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA © 2015 Ardhiati PDU 303 PSIKOMETRIK 26 WANT TO KNOW MORE? ANASTASI, A. & URBINA, S. (1997). PSYCHOLOGICAL TESTING (7TH ED.). UPPER SADDLE RIVER, NJ: PRENTICE-HALL, INC. COHEN, R.J. & SWERDLIK, M.E. (2009). PSYCHOLOGICAL TESTING AND ASSESSMENT: AN INTRODUCTION TO TESTS AND MEASUREMENT (7TH ED.). BOSTON, MA: MCGRAW-HILL HIGHER EDUCATION. CROCKER, L. & ALGINA, J. (2008). INTRODUCTION TO CLASSICAL AND MODERN TEST THEORY. MASON, OH: CENGAGE LEARNING. KAPLAN, R.M. & SACCUZZO, D.P. (2013). PSYCHOLOGICAL TESTING: PRINCIPLES, APPLICATIONS, AND ISSUES (8TH ED.). BELMONT, CA: WADSWORTH, CENGAGE LEARNING.