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A Course in Rasch Measurement Theory : Measuring in the Educational, Social and Health Sciences
Fit of Responses to the Model I—Item Characteristic Curve and Chi-Square Tests of Fit
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Author(s):
David Andrich
,
Ida Marais
Publication date
(Online):
July 16 2019
Publisher:
Springer Singapore
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Author and book information
Book Chapter
Publication date (Print):
2019
Publication date (Online):
July 16 2019
Pages
: 161-171
DOI:
10.1007/978-981-13-7496-8_13
SO-VID:
adc8eed8-4f53-4431-b765-60e6f59bdab3
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Book chapters
pp. 3
The Idea of Measurement
pp. 13
Constructing Instruments to Achieve Measurement
pp. 29
Classical Test Theory
pp. 41
Reliability and Validity in Classical Test Theory
pp. 55
The Guttman Structure and Analysis of Responses
pp. 75
The Dichotomous Rasch Model—The Simplest Modern Test Theory Model
pp. 89
Invariance of Comparisons—Separation of Person and Item Parameters
pp. 97
Sufficiency—The Significance of Total Scores
pp. 105
Estimating Item Difficulty
pp. 117
Estimating Person Proficiency and Person Separation
pp. 137
Equating—Linking Instruments Through Common Items
pp. 149
Comparisons and Contrasts Between Classical and Rasch Measurement Theories
pp. 161
Fit of Responses to the Model I—Item Characteristic Curve and Chi-Square Tests of Fit
pp. 173
Violations of the Assumption of Independence I—Multidimensionality and Response Dependence
pp. 187
Fit of Responses to the Model II—Analysis of Residuals and General Principles
pp. 199
Fit of Responses to the Model III—Differential Item Functioning
pp. 209
Fit of Responses to the Model IV—Guessing
pp. 215
Other Models of Modern Test Theory for Dichotomous Responses
pp. 221
Comparisons and Contrasts Between Item Response Theory and Rasch Measurement Theory
pp. 233
The Polytomous Rasch Model I
pp. 245
The Polytomous Rasch Model II
pp. 261
The Polytomous Rasch Model III
pp. 269
Fit of Responses to the Polytomous Rasch Model
pp. 275
Violations of the Assumption of Independence II—The Polytomous Rasch Model
pp. 291
Derivation of Classical Test Theory Equations and Coefficient α
pp. 299
Analysis of More Than Two Facets and Repeated Measures
pp. 307
Derivation of the Threshold Form of the Polytomous Rasch Model
pp. 319
Non-Rasch Measurement Models for Ordered Response Categories
pp. 327
Review of Principles of Test Analysis Using Rasch Measurement Theory
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