A conceptual introduction to psychometrics: development, analysis and application of psychological and educational tests
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
The Hague
Eleven International Publ.
2011
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 483 S. graph. Darst. |
| ISBN: | 9789490947293 9490947296 9789059316621 9059316622 |
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| 245 | 1 | 0 | |a A conceptual introduction to psychometrics |b development, analysis and application of psychological and educational tests |c G. J. Mellenbergh |
| 264 | 1 | |a The Hague |b Eleven International Publ. |c 2011 | |
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Record in the Search Index
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| adam_text | IMAGE 1
CONTENTS
1 INTRODUCTION 17
1.1 ORIGINS OF PSYCHOMETRICS 17
1.2 TEST DEFINITIONS 19
1.3 TEST TYPES 21
PART I TEST DEVELOPMENT 25
2 DEVELOPING MAXIMUM PERFORMANCE TESTS 27
2.1 THE CONSTRUCT OF INTEREST 27
2.2 THE MEASUREMENT MODE 28
2.3 THE OBJECTIVES 29
2.4 THE POPULATION 30
2.5 THE CONCEPTUAL FRAMEWORK 31
2.6 THE ITEM RESPONSE MODE 33
2.7 THE ADMINISTRATION MODE 37
2.8 ITEM-WRITING GUIDELINES 38
2.8.1 FOCUS ON ONE RELEVANT ASPECT 38
2.8.2 USE INDEPENDENT ITEM CONTENT 39
2.8.3 AVOID OVERLY SPECIFIC AND OVERLY GENERAL CONTENT 40 2.8.4 AVOID
ITEMS THAT DELIBERATELY DECEIVE TEST TAKERS 40 2.8.5 KEEP VOCABULARY
SIMPLE FOR THE POPULATION OF TEST TAKERS 41 2.8.6 PUT ITEM OPTIONS
VERTICALLY 41
2.8.7 MINIMIZE READING TIME AND AVOID UNNECESSARY INFORMATION 41 2.8.8
USE CORRECT LANGUAGE 42
2.8.9 USE NON-SENSITIVE LANGUAGE 42
2.8.10 USE A CLEAR STEM AND INCLUDE THE CENTRAL IDEA IN THE STEM 43
2.8.11 WORD THE ITEM POSITIVELY, AND AVOID NEGATIVES 43
2.8.12 USE THREE OPTIONS, UNLESS IT IS EASY TO WRITE PLAUSIBLE
DISTRACTORS 43
2.8.13 USE ONE OPTION THAT IS UNAMBIGUOUSLY THE CORRECT OR BEST ANSWER
44
2.8.14 PLACE THE OPTIONS IN ALPHABETICAL, LOGICAL, OR NUMERICAL ORDER 44
2.8.15 VARY THE LOCATION OF THE CORRECT OPTION ACROSS THE TEST 44 2.8.16
KEEP THE OPTIONS HOMOGENEOUS IN LENGTH, CONTENT, GRAMMAR, ETC. 45
IMAGE 2
10
A C O N C E P T U AL I N T R O D U C T I ON TO P S Y C H O M E T R I CS
2.8.17 AVOID ALL-OF-THE-ABOVE AS THE LAST OPTION 45
2.8.18 MAKE DISTRACTORS PLAUSIBLE 46
2.8.19 AVOID GIVING CLUES TO THE CORRECT OPTION 46
2.9 ITEM RATING GUIDELINES 47
2.9.1 RATE RESPONSES ANONYMOUSLY 47
2.9.2 RATE THE RESPONSES TO ONE ITEM AT A TIME 48
2.9.3 PROVIDE THE RATER WITH A FRAME OF REFERENCE 48
2.9.4 SEPARATE IRRELEVANT ASPECTS FROM THE RELEVANT PERFORMANCE 48 2.9.5
USE MORE THAN ONE RATER 48
2.9.6 RE-RATE THE FREE RESPONSES 48
2.9.7 RATE ALL RESPONSES TO AN ITEM ON THE SAME OCCASION 49 2.9.8
REARRANGE THE ORDER OF RESPONSES 49
2.9.9 READ A SAMPLE OF RESPONSES 49
2.10 PILOT STUDIES ON ITEM QUALITY 49
2.10.1 EXPERTS PILOTS 49
2.10.2 TEST TAKERS PILOTS 50
2.10.3 RATERS PILOTS 50
2.11 COMPILING THE FIRST DRAFT OF THE TEST 55
2.12 SOFTWARE 56
EXERCISES 56
3 DEVELOPING TYPICAL PERFORMANCE TESTS 59
3.1 THE CONSTRUCT OF INTEREST 59
3.2 THE MEASUREMENT MODE 61
3.3 THE OBJECTIVES 64
3.4 THE POPULATION 64
3.5 THE CONCEPTUAL FRAMEWORK 65
3.5.1 THE CONSTRUCT METHOD 66
3.5.2 THE FACET DESIGN METHOD 67
3.6 THE ITEM RESPONSE MODE 69
3.7 THE ADMINISTRATION MODE 72
3.8 ITEM WRITING GUIDELINES 73
3.8.1 ELICIT DIFFERENT ANSWERS AT DIFFERENT CONSTRUCT POSITIONS 73 3.8.2
FOCUS ON ONE ASPECT PER ITEM 74
3.8.3 AVOID MAKING ASSUMPTIONS ABOUT TEST TAKERS 74
3.8.4 USE CORRECT LANGUAGE 75
3.8.5 USE CLEAR AND COMPREHENSIBLE WORDING 75
3.8.6 USE NON-SENSITIVE LANGUAGE AND CONTENT 75
3.8.7 PUT THE SITUATIONAL OR CONDITIONAL PART OF A STATEMENT AT THE
BEGINNING AND THE BEHAVIORAL PART AT THE END 75
IMAGE 3
N
C O N T E N TS
3.8.8 USE POSITIVE STATEMENTS 76
3.8.9 USE 5-7 CATEGORIES IN ORDINAL-POLYTOMOUS RESPONSE SCALES 77 3.8.10
LABEL EACH OF THE CATEGORIES OF A RESPONSE SCALE AND AVOID THE USE OF
NUMBERS ALONE 77
3.8.11 FORMAT RESPONSE CATEGORIES VERTICALLY 78
3.9 ITEM RATING GUIDELINES 78
3.10 PILOT STUDIES ON ITEM QUALITY 79
3.10.1 EXPERTS PILOTS 79
3.10.2 TEST TAKERS PILOTS 79
3.10.3 RATERS PILOTS 80
3.10.4 EXAMPLES 83
3.11 RESPONSE TENDENCIES 84
3.12 COMPILING THE FIRST DRAFT OF THE TEST 87
3.13 SOFTWARE 87
EXERCISES 88
PART II TEST ANALYSIS 89
4 OBSERVED TEST SCORES 91
4.1 ITEM SCORING BY FIAT 91
4.2 HANDLING ITEM NON-RESPONSE 93
4.3 THE SUM SCORE 99
4.4 THE OBSERVED TEST SCORE DISTRIBUTION 100
4.5 DETECTING ACQUIESCENCE AND DISSENTIENCE 103
EXERCISES 105
5 CLASSICAL ANALYSIS OF OBSERVED TEST SCORES 107
5.1 MEASUREMENT PRECISION OF OBSERVED TEST SCORES 107
5.1.1 INFORMATION ON A SINGLE OBSERVED TEST SCORE 108
5.1.2 RELIABILITY OF OBSERVED TEST SCORES IN A POPULATION 113 5.1.3
RELIABILITY AND WITHIN-PERSON ERROR VARIANCE 118
5.2 SOME PROPERTIES OF CLASSICAL TEST THEORY 120
5.2.1 THE STANDARD ERROR OF MEASUREMENT OF A TEST 120
5.2.2 LOWER BOUNDS TO RELIABILITY 122
5.2.3 PROPERTIES OF PARALLEL TESTS 123
5.2.4 TEST LENGTH AND RELIABILITY 128
5.2.5 CORRELATION CORRECTED FOR ATTENUATION 130
5.2.6 SIGNAL-TO-NOISE RATIO 132
5.3 PARAMETER ESTIMATION 133
5.3.1 ESTIMATION OF INDIVIDUAL PARAMETERS 133
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A C O N C E P T U AL I N T R O D U C T I ON TO P S Y C H O M E T R I CS
5.3.2 ESTIMATION OF POPULATION PARAMETERS 136
EXERCISES 141
APPENDIX CHAPTER 5 DERIVATION OF FORMULAS 5.10, 5.16, 5.43, AND 5.45 142
6 CLASSICAL ANALYSIS OF ITEM SCORES 147
6.1 ITEM SCORE DISTRIBUTIONS 147
6.1.1 CLASSICAL ITEM DIFFICULTY AND ATTRACTIVENESS 150
6.1.2 ITEM SCORE VARIANCE AND STANDARD DEVIATION 153
6.2 CLASSICAL ITEM DISCRIMINATION 156
6.2.1 THE ITEM-TEST AND ITEM-REST CORRELATIONS 157
6.2.2 THE ITEM RELIABILITY INDEX 159
6.2.3 THE ITEM SIGNAL-TO-NOISE RATIO CONTRIBUTION 161
6.3 DISTRACTOR ANALYSIS 163
6.3.1 ITEM DISTRACTOR POPULARITY 163
6.3.2 ITEM DISTRACTOR-REST CORRELATIONS 165
6.4 CLASSICAL TEST AND ITEM ANALYSIS IN PRACTICE. 167
6.5 CONSTRUCTING CLASSICAL PARALLEL SUBTESTS 170
6.6 THE INTERNAL STRUCTURE OF THE TEST 178
6.6.1 ANALYSIS OF INTER-ITEM PRODUCT MOMENT CORRELATIONS 178 6.6.2
ANALYSIS OF UNDERLYING ITEM RESPONSE VARIABLES CORRELATIONS 184 6.7
MEASUREMENT BY SCALING 188
6.7.1 JUDGMENTAL SCALING 189
6.7.2 OPTIMAL SCALING 190
6.8 SOFTWARE 194
194
197 197 198
201 203 208 214
215 221
EXERCISES 221
EXERCISES
7 7.1
7.2 7.3 7.4 7.5
PRINCIPLES OF ITEM RESPONSE THEORY ITEM RESPONSE MODEL TYPES 7.1.1
LATENT VARIABLES
7.1.2 ITEM RESPONSE VARIABLES 7.1.3 ITEM RESPONSE FUNCTIONS LOCAL
INDEPENDENCE THE DIMENSIONALITY OF A TEST FITTING ITEM RESPONSE MODELS
TO DATA
SOFTWARE
IMAGE 5
13
C O N T E N TS
8 EXAMPLES OF MODELS FOR DICHOTOMOUS ITEM RESPONSES 223
8.1 LATENT CLASS MODELS 224
8.2 LATENT TRAIT MODELS 234
8.2.1 THRESHOLD IRFS 235
8.2.2 LOGISTIC IRFS 240
8.2.3 NONPARAMETRIC IRFS 256
8.2.4 LINEAR IRFS OF THE UNDERLYING ITEM RESPONSE VARIABLE 267 8.3
MIXTURE MODELS 271
8.4 SOFTWARE 271
EXERCISES 272
APPENDIX A CHAPTER 8 DERIVATION OF THE MAXIMUM LIKELIHOOD ESTIMATOR OF
THE PROPORTION OF MASTERS OF EXAMPLE 8.2 273
APPENDIX B CHAPTER 8 ESTIMATION OF THE RASCH MODEL PARAMETERS OF A
TWO-ITEM TEST 274
9 EXAMPLES OF MODELS FOR ORDINAL-POLYTOMOUS, PARTIAL ORDINAL-
POLYTOMOUS, AND BOUNDED-CONTINUOUS ITEM RESPONSES 279 9.1 EXAMPLES OF
MODELS FOR ORDINAL-POLYTOMOUS ITEM RESPONSES 279 9.1.1 LATENT CLASS
GRADATION MODELS 282
9.1.2 LATENT TRAIT MODELS FOR ORDINAL-POLYTOMOUS ITEMS 284 9.1.2.1
THRESHOLD ISRFS 284
9.1.2.2 LOGISTIC ISRFS 285
9.1.2.3 NONPARAMETRIC ISRFS 290
9.1.2.4 THE UNDERLYING ITEM RESPONSE VARIABLE MODEL 292 9.2 EXAMPLES OF
MODELS FOR PARTIAL ORDINAL-POLYTOMOUS ITEM RESPONSES 293 9.3 EXAMPLES OF
MODELS FOR BOUNDED-CONTINUOUS ITEM RESPONSES 298 9.4 OVERVIEW OF ITEM
RESPONSE MODELS 305
9.5 SOFTWARE 307
EXERCISES 307
10 IRT-BASED ANALYSIS OF LATENT VARIABLES AND ITEM RESPONSES 309 10.1
MEASUREMENT PRECISION 309
10.1.1 INFORMATION 309
10.1.2 RELIABILITY 314
10.2 IRT-BASED ITEM ANALYSIS 317
10.2.1 ITEM ANALYSIS UNDER NONPARAMETRIC MODELS 317
10.2.2 ITEM ANALYSIS UNDER FACTOR ANALYTIC MODELS 318
10.2.3 ITEM ANALYSIS UNDER LOGISTIC MODELS 319
10.3 DIFFERENTIAL ITEM FUNCTIONING AND MEASUREMENT INVARIANCE 322 10.4
CONFIRMATORY AND EXPLORATORY IRT-ANALYSIS 329
IMAGE 6
14
A C O N C E P T U AL I N T R O D U C T I ON TO P SY C H OM ET R I CS
10.5 SOFTWARE
EXERCISES
11 11. 11.
11, 11, 11,
1 ,2
,3 .4 ,5
TEST VALIDATION CONTENT ANALYSIS STUDIES ITEM RESPONSE PROCESS STUDIES
11.2.1 PROTOCOL ANALYSIS STUDIES
11.2.2 PSYCHOMETRIC PROCESS MODEL STUDIES EXPERIMENTAL STUDIES
QUASI-EXPERIMENTAL STUDIES CORRELATIONAL STUDIES.
332 332
335 336 336 337 338
339 341 341
EXERCISE 343
PART III TEST APPLICATIONS 345
12 REFERENCE POINTS FOR TEST SCORE INTERPRETATIONS 347
12.1 NORM-REFERENCED TEST SCORE INTERPRETATION 348
12.1.1 SAMPLING METHODS 349
12.1.2 DISTRIBUTION SHAPE-INVARIANT SCALE TRANSFORMATIONS 351 12.1.3
DISTRIBUTION SHAPE-ENFORCING SCALE TRANSFORMATIONS 354 12.1.4 CHOOSING A
SCALE TRANSFORMATION 358
12.2 TEST-REFERENCED TEST SCORE INTERPRETATION 360
12.3 OCCASION-REFERENCED TEST SCORE INTERPRETATION 361
12.4 CRITERION-REFERENCED TEST SCORE INTERPRETATION 369
EXERCISES 371
13 PREDICTION AND SELECTION 373
13.1 PREDICTOR AND CRITERION VARIABLES 373
13.2 PREDICTION MODELS 376
13.2.1 PREDICTION OF A CONTINUOUS CRITERION 377
13.2.2 PREDICTION OF A DICHOTOMOUS CRITERION 380
13.2.3 PREDICTION OF AN ORDINAL-POLYTOMOUS CRITERION 382 13.3 CRITERIA
384
13.4 PREDICTORS 385
13.5 CROSS-VALIDATION 386
13.6 DIFFERENTIAL PREDICTABILITY AND PREDICTIVE INVARIANCE 392 13.6.1
DIFFERENTIAL PREDICTABILITY OF A CONTINUOUS CRITERION 392 13.6.2
DIFFERENTIAL PREDICTABILITY OF A DICHOTOMOUS CRITERION 398 13.6.3 ITEM
MEASUREMENT INVARIANCE AND PREDICTIVE INVARIANCE 402 13.7 SELECTION 404
IMAGE 7
15
C O N T E N TS
13.7.1 QUOTA-RESTRICTED SELECTION 404
13.7.2 QUOTA-FREE SELECTION 405
13.8 CULTURE-FAIR SELECTION 411
13.8.1 QUOTA-FREE CULTURE-FAIR SELECTION 411
13.8.2 QUOTA-RESTRICTED CULTURE-FAIR SELECTION 415
13.9 COMMENTS ON THE DECISION-THEORETIC APPROACH TO SELECTION 417 13.10
SOFTWARE 418
EXERCISES 418
14 EXAMPLES OF IRT-BASED APPLICATIONS 421
14.1 PERSON FIT 421
14.1.1 PERSON FIT UNDER THE GUTTMAN MODEL 422
14.1.2 PERSON FIT UNDER MOKKEN S DOUBLE MONOTONICITY MODEL 423 14.1.3
PERSON FIT UNDER THE RASCH MODEL 426
14.1.4 PERSON FIT UNDER JORESKOG S CONGENERIC MODEL 428 14.1.5 COMMENTS
ON PERSON FIT ANALYSIS 429
14.2 OPTIMAL TEST DESIGN 430
14.3 COMPUTERIZED ADAPTIVE TESTING 435
14.3.1 CONSTRAINED CAT 439
14.3.2 INTERPRETATION OF CAT-BASED LATENT TRAIT ESTIMATES 441 14.4
SOFTWARE 443
EXERCISES 444
15 NON-PSYCHOMETRICAL CONCEPTS IN TESTING 445
15.1 TEST TAKERS RIGHTS 445
15.2 SENSITIVITY AND DIFFERENTIAL ITEM FUNCTIONING 446
15.3 COMPARABILITY OF TEST SCORES 447
15.3.1 ADAPTATIONS FOR DISABLED TEST TAKERS 448
15.3.2 ADAPTATIONS FOR NON-FLUENT TEST TAKERS 449
15.4 FAIRNESS OF PSYCHOMETRIC DECISIONS 450
15.5 EDUCATIONAL ACCOUNTABILITY 452
15.6 ADVERSE EFFECTS OF TESTING 453
15.7 EVIDENCE-BASED TESTING 455
REFERENCES 457
ANSWERS TO THE NUMERICAL EXERCISES 473
SUBJECT INDEX 477
|
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| spelling | Mellenbergh, Gideon J. Verfasser aut A conceptual introduction to psychometrics development, analysis and application of psychological and educational tests G. J. Mellenbergh The Hague Eleven International Publ. 2011 483 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Psychometrie (DE-588)4176236-8 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Psychometrie (DE-588)4176236-8 s DE-604 SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025367033&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mellenbergh, Gideon J. A conceptual introduction to psychometrics development, analysis and application of psychological and educational tests Psychometrie (DE-588)4176236-8 gnd |
| subject_GND | (DE-588)4176236-8 (DE-588)4151278-9 |
| title | A conceptual introduction to psychometrics development, analysis and application of psychological and educational tests |
| title_auth | A conceptual introduction to psychometrics development, analysis and application of psychological and educational tests |
| title_exact_search | A conceptual introduction to psychometrics development, analysis and application of psychological and educational tests |
| title_full | A conceptual introduction to psychometrics development, analysis and application of psychological and educational tests G. J. Mellenbergh |
| title_fullStr | A conceptual introduction to psychometrics development, analysis and application of psychological and educational tests G. J. Mellenbergh |
| title_full_unstemmed | A conceptual introduction to psychometrics development, analysis and application of psychological and educational tests G. J. Mellenbergh |
| title_short | A conceptual introduction to psychometrics |
| title_sort | a conceptual introduction to psychometrics development analysis and application of psychological and educational tests |
| title_sub | development, analysis and application of psychological and educational tests |
| topic | Psychometrie (DE-588)4176236-8 gnd |
| topic_facet | Psychometrie Einführung |
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