Polytomous item response theory models:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Thousand Oaks [u.a.]
Sage
2006
|
| Schriftenreihe: | Quantitative applications in the social sciences
144 |
| Schlagworte: | |
| Online-Zugang: | Table of contents only Publisher description Inhaltsverzeichnis |
| Beschreibung: | VII, 107 S. graph. Darst. |
| ISBN: | 076193068X |
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Datensatz im Suchindex
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|---|---|
| adam_text | Titel: Polytomous item response theory models
Autor: Ostini, Remo
Jahr: 2006
CONTENTS
Series Editor s Introduction v
Acknowledgments vii
1. Introduction 1
Measurement Theory 1
Item Response Theory 2
Applying the IRT Model 3
Reasons for Using Polytomous IRT Models 6
Polytomous IRT Models 8
Two Types of Probabilities 9
Two Types of Polytomous Models 11
Category Boundaries 11
Item Category Response Functions 14
2. Nominal Response Model 16
The Mathematical Model 17
Information 20
Relationship to Other IRT Models 21
Variations 21
A Practical Example 22
3. Polytomous Rasch Models 24
Partial Credit Model 25
Category Steps 27
The Mathematical Model 28
Information 30
Relationship to Other IRT Models 31
Variations 31
PCM Summary 34
Rating Scale Model 34
The Mathematical Model 36
Model Parameters 36
Sufficient Statistics and Other Considerations 39
Information 41
Expected Values and Response Functions 42
Response Functions and Information 43
Relationship to Other IRT Models 44
PCM Scoring Function Formulation and the NRM 45
Variations 47
Generalized Partial Credit Model 50
Discrimination and Polytomous Rasch Models 53
Summary of Polytomous Rasch Models 53
Three Practical Examples 56
4. Samejima Models 61
Framework 61
From Response Process to Specific Model 63
The Homogeneous Case: Graded Response Models 64
The Mathematical Model 65
Information 66
Information for Polytomous Models 67
Relationship to Other IRT Models 72
From Homogeneous Class to Heterogeneous Class and Back 75
A Common Misconception 77
Variations 78
Summary of Samejima Models 80
Potential Weaknesses of the Cumulative Boundary Approach 81
Possible Strengths of the Cumulative Boundary Approach 82
A Practical Example 83
5. Model Selection 85
General Criteria 85
Mathematical Approaches 86
Fit Statistic Problems 88
An Example 89
Differences in Modeled Outcome 90
Conclusion 91
Acronyms and Glossary 91
Notes 94
References 95
Index 103
About the Authors 107
|
| adam_txt |
Titel: Polytomous item response theory models
Autor: Ostini, Remo
Jahr: 2006
CONTENTS
Series Editor's Introduction v
Acknowledgments vii
1. Introduction 1
Measurement Theory 1
Item Response Theory 2
Applying the IRT Model 3
Reasons for Using Polytomous IRT Models 6
Polytomous IRT Models 8
Two Types of Probabilities 9
Two Types of Polytomous Models 11
Category Boundaries 11
Item Category Response Functions 14
2. Nominal Response Model 16
The Mathematical Model 17
Information 20
Relationship to Other IRT Models 21
Variations 21
A Practical Example 22
3. Polytomous Rasch Models 24
Partial Credit Model 25
Category Steps 27
The Mathematical Model 28
Information 30
Relationship to Other IRT Models 31
Variations 31
PCM Summary 34
Rating Scale Model 34
The Mathematical Model 36
Model Parameters 36
Sufficient Statistics and Other Considerations 39
Information 41
Expected Values and Response Functions 42
Response Functions and Information 43
Relationship to Other IRT Models 44
PCM Scoring Function Formulation and the NRM 45
Variations 47
Generalized Partial Credit Model 50
Discrimination and Polytomous Rasch Models 53
Summary of Polytomous Rasch Models 53
Three Practical Examples 56
4. Samejima Models 61
Framework 61
From Response Process to Specific Model 63
The Homogeneous Case: Graded Response Models 64
The Mathematical Model 65
Information 66
Information for Polytomous Models 67
Relationship to Other IRT Models 72
From Homogeneous Class to Heterogeneous Class and Back 75
A Common Misconception 77
Variations 78
Summary of Samejima Models 80
Potential Weaknesses of the Cumulative Boundary Approach 81
Possible Strengths of the Cumulative Boundary Approach 82
A Practical Example 83
5. Model Selection 85
General Criteria 85
Mathematical Approaches 86
Fit Statistic Problems 88
An Example 89
Differences in Modeled Outcome 90
Conclusion 91
Acronyms and Glossary 91
Notes 94
References 95
Index 103
About the Authors 107 |
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| index_date | 2024-07-02T18:31:18Z |
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| institution | BVB |
| isbn | 076193068X |
| language | English |
| lccn | 2005005274 |
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| spelling | Ostini, Remo Verfasser aut Polytomous item response theory models Remo Ostini ; Michael L. Nering Thousand Oaks [u.a.] Sage 2006 VII, 107 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Quantitative applications in the social sciences 144 Psychometrie (DE-588)4176236-8 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Probabilistische Testtheorie (DE-588)4496586-2 gnd rswk-swf Psychometrie (DE-588)4176236-8 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Probabilistische Testtheorie (DE-588)4496586-2 s DE-188 Nering, Michael L. Verfasser aut Quantitative applications in the social sciences 144 (DE-604)BV000005102 144 http://www.loc.gov/catdir/toc/ecip058/2005005274.html Table of contents only http://www.loc.gov/catdir/enhancements/fy0657/2005005274-d.html Publisher description HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015958161&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ostini, Remo Nering, Michael L. Polytomous item response theory models Quantitative applications in the social sciences Psychometrie (DE-588)4176236-8 gnd Mathematisches Modell (DE-588)4114528-8 gnd Probabilistische Testtheorie (DE-588)4496586-2 gnd |
| subject_GND | (DE-588)4176236-8 (DE-588)4114528-8 (DE-588)4496586-2 |
| title | Polytomous item response theory models |
| title_auth | Polytomous item response theory models |
| title_exact_search | Polytomous item response theory models |
| title_exact_search_txtP | Polytomous item response theory models |
| title_full | Polytomous item response theory models Remo Ostini ; Michael L. Nering |
| title_fullStr | Polytomous item response theory models Remo Ostini ; Michael L. Nering |
| title_full_unstemmed | Polytomous item response theory models Remo Ostini ; Michael L. Nering |
| title_short | Polytomous item response theory models |
| title_sort | polytomous item response theory models |
| topic | Psychometrie (DE-588)4176236-8 gnd Mathematisches Modell (DE-588)4114528-8 gnd Probabilistische Testtheorie (DE-588)4496586-2 gnd |
| topic_facet | Psychometrie Mathematisches Modell Probabilistische Testtheorie |
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