Multidimensional item response theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York, NY [u.a.]
Springer
2009
|
| Schriftenreihe: | Statistics for social and behavioral sciences
|
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | IX, 353 S. Ill., graph. Darst. |
| ISBN: | 9780387899756 |
Internformat
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| 100 | 1 | |a Reckase, Mark Daniel |d 19XX- |e Verfasser |0 (DE-588)1247758583 |4 aut | |
| 245 | 1 | 0 | |a Multidimensional item response theory |c Mark D. Reckase |
| 264 | 1 | |a New York, NY [u.a.] |b Springer |c 2009 | |
| 300 | |a IX, 353 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Statistics for social and behavioral sciences | |
| 650 | 4 | |a Item response theory | |
| 650 | 0 | 7 | |a Probabilistische Testtheorie |0 (DE-588)4496586-2 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Probabilistische Testtheorie |0 (DE-588)4496586-2 |D s |
| 689 | 0 | |5 DE-604 | |
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| 856 | 4 | 2 | |q text/html |u http://deposit.dnb.de/cgi-bin/dokserv?id=3289985&prov=M&dok_var=1&dok_ext=htm |3 Inhaltstext |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-017643135 | |
Datensatz im Suchindex
| _version_ | 1812354633451962368 |
|---|---|
| adam_text |
Contents
1
Introduction
. 1
1.1
A Conceptual
Framework
for Thinking About People
and Test Items
. 3
1.2
General Assumptions Behind Model Development
. 8
1.3
Exercises
. 10
2
Unidimensional
Item Response Theory Models
.
II
2.1
Unidimensional
Models of the Interactions of Persons
and Test Items
. 11
2.1.1
Models for Items with Two Score Categories
. 14
2.1.2
Relationships Between UIRT Parameters
and Classical Item Statistics
. 26
2.1.3
Models for Items with More Than Two Score Categories
. 32
2.2
Other Descriptive Statistics for Items and Tests
. 43
2.2.1
The Test Characteristic Curve
. 43
2.2.2
Information Function
. 47
2.3
Limitations of
Unidimensional
IRT
Models
. 53
2.4
Exercises
. 54
3
Historical Background for Multidimensional Item
Response Theory
. 57
3.1
Psychological and Educational Context for
MIRT
. 60
3.2
Test Development Context for
MIRT
. 61
3.3
Psychometric Antecedents of
MIRT
. 63
3.3.1
Factor Analysis
. 63
3.3.2
Item Response Theory
. 68
3.3.3
Comparison of the Factor Analytic and
MIRT
Approaches.
70
3.4
Early
MIRT
Developments
. 71
3.5
Developing Applications of
MIRT
. 74
3.6
Influence of
MIRT
on the Concept of a Test
. 75
3.7
Exercises
. 76
Contents
Multidimensional
Item Response
Theory
Models
79
4.1
Multidimensional Models for the Interaction Between
a Person and a Test Item
.
4.1.1
MIRT
Models for Test Items with Two Score Categories
.
»Э
4.1.2
MIRT
Models for Test Items with More Than
Two Score Categories
.
^
4.2
Future Directions for Model Development
.
110
4.3
Exercises
.
Statistical Descriptions of Item and Test Functioning
113
5.1
Item Difficulty and Discrimination
.' '
^
5.2
Item Information
.'2'
5.3
MIRT
Descriptions of Test Functioning
.'
24
5.4
Summary and Conclusions
.' 33
5.5
Exercises
.
'^
Estimation of Item and Person Parameters
.137
6.1
Background Concepts for Parameter Estimation
.138
6.1.1
Estimation of the
θ
-vector
with Item Parameters Known
.138
6.2
Computer Programs for Estimating
MIRT
Parameters
.148
6.2.1
TESTFACT
.149
6.2.2
NOHARM
.158
6.2.3
ConQuest
.162
6.2.4
BMIRT
.168
6.3
Comparison of Estimation Programs
.175
6.4
Exercises
.176
7
Analyzing the Structure of Test Data
.179
7.1
Determining the Number of Dimensions for an Analysis
.179
7.1.1
Over and Under-Specification of Dimensions
.181
7.1.2
Theoretical Requirements for Fit
by a One-Dimensional Model
.194
7.2
Procedures for Determining the Required Number of Dimensions
. 201
7.2.1
DIMTEST
.208
7.2.2
DETECT
.211
7.2.3
Parallel Analysis
.215
7.2.4
Difference Chi-Square
.218
7.3
Clustering Items to Confirm Dimensional Structure
.220
7.4
Confirmatory Analysis to Check Dimensionality
.224
7.5
Concluding Remarks
.228
7.6
Exercises
. 229
Contents ¡x
8
Transforming
Parameter
Estimates to a Specified
Coordinate System
.233
8.1
Converting Parameters from One Coordinate System to Another
.235
8.1.1
Translation of the Origin of the
Θ
-Space
.
239
8.1.2
Rotating the Coordinate Axes of the
θ
-Space
.244
8.1.3
Changing the Units of the Coordinate Axes
.252
8.1.4
Converting Parameters Using Translation,
Rotation, and Change of Units
.257
8.2
Recovering Transformations from Item- and Person-Parameters
.261
8.2.1
Recovering Transformations from
θ
-vectors
.
262
8.2.2
Recovering Transformations Using Item Parameters
.266
8.3
Transforming the
θ
-space
for the Partially Compensatory Model
.269
8.4
Exercises
.271
9
Linking and Scaling
.275
9.1
Specifying the Common Multidimensional Space
.276
9.2
Relating Results from Different Test Forms
.286
9.2.1
Common-Person Design
.288
9.2.2
Common-Item Design
.292
9.2.3
Randomly Equivalent-Groups Design
.298
9.3
Estimating Scores on Constructs
.301
9.3.1
Construct Estimates Using Rotation
.302
9.3.2
Construct Estimates Using Projection
.304
9.4
Summary and Discussion
.308
9.5
Exercises
.309
10
Computerized Adaptive Testing Using
MIRT
.311
10.1
Component Parts of a CAT Procedure
.311
10.2
Generalization of CAT to the Multidimensional Case
.313
10.2.1
Estimating the Location of an Examinee
.314
10.2.2
Selecting the Test Item from the Item Bank
.326
10.2.3
Stopping Rules
.335
10.2.4
Item Pool
.336
10.3
Future Directions for MIRT-CAT
.337
10.4
Exercises
.338
References
.341
Index
.349 |
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| isbn | 9780387899756 |
| language | English |
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| spelling | Reckase, Mark Daniel 19XX- Verfasser (DE-588)1247758583 aut Multidimensional item response theory Mark D. Reckase New York, NY [u.a.] Springer 2009 IX, 353 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Statistics for social and behavioral sciences Item response theory Probabilistische Testtheorie (DE-588)4496586-2 gnd rswk-swf Probabilistische Testtheorie (DE-588)4496586-2 s DE-604 Erscheint auch als Online-Ausgabe 978-0-387-89976-3 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3289985&prov=M&dok_var=1&dok_ext=htm Inhaltstext Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017643135&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Reckase, Mark Daniel 19XX- Multidimensional item response theory Item response theory Probabilistische Testtheorie (DE-588)4496586-2 gnd |
| subject_GND | (DE-588)4496586-2 |
| title | Multidimensional item response theory |
| title_auth | Multidimensional item response theory |
| title_exact_search | Multidimensional item response theory |
| title_full | Multidimensional item response theory Mark D. Reckase |
| title_fullStr | Multidimensional item response theory Mark D. Reckase |
| title_full_unstemmed | Multidimensional item response theory Mark D. Reckase |
| title_short | Multidimensional item response theory |
| title_sort | multidimensional item response theory |
| topic | Item response theory Probabilistische Testtheorie (DE-588)4496586-2 gnd |
| topic_facet | Item response theory Probabilistische Testtheorie |
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