Advanced Search

Journal Navigation

Journal Home

Subscriptions

Archive

Contact Us

Table of Contents

Click here for FREE ACCESS to this landmark database

Click here to sign up for SAGE Journal Email Alerts today!

Sign In to gain access to subscriptions and/or personal tools.
Applied Psychological Measurement
This Article
Right arrow Full Text (PDF)
Right arrow References
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Right arrow Citation Map
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to Saved Citations
Right arrow Download to citation manager
Right arrowRequest Permissions
Right arrow Request Reprints
Right arrow Add to My Marked Citations
Citing Articles
Right arrow Citing Articles via HighWire
Right arrow Citing Articles via Google Scholar
Right arrow Citing Articles via Scopus
Google Scholar
Right arrow Articles by Reckase, M. D.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Complore   Add to Connotea   Add to Del.icio.us   Add to Digg   Add to Reddit   Add to Technorati   Add to Twitter  
What's this?

The Difficulty of Test Items That Measure More Than One Ability

Mark D. Reckase

The American College Testing Program

Many test items require more than one ability to obtain a correct response. This article proposes a mul tidimensional index of item difficulty that can be used with items of this type. The proposed index describes multidimensional item difficulty as the direction in the multidimensional space in which the item provides the most information and the distance in that direction to the most informative point. The multidimensional dif ficulty is derived for a particular item response theory model and an example of its application is given using the ACT Mathematics Usage Test.

Applied Psychological Measurement, Vol. 9, No. 4, 401-412 (1985)
DOI: 10.1177/014662168500900409
Add to CiteULike CiteULike   Add to Complore Complore   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us   Add to Digg Digg   Add to Reddit Reddit   Add to Technorati Technorati   Add to Twitter Twitter    What's this?


This article has been cited by other articles:


Home page
 Applied Psychological MeasurementHome page
J. de la Torre and H. Song
Simultaneous Estimation of Overall and Domain Abilities: A Higher-Order IRT Model Approach
Applied Psychological Measurement, November 1, 2009; 33(8): 620 - 639.
[Abstract] [PDF]

Home page
 Applied Psychological MeasurementHome page
C. F. Furlow, T. Raiford Ross, and P. Gagne
The Impact of Multidimensionality on the Detection of Differential Bundle Functioning Using Simultaneous Item Bias Test
Applied Psychological Measurement, September 1, 2009; 33(6): 441 - 464.
[Abstract] [PDF]

Home page
 Applied Psychological MeasurementHome page
P. J. Ferrando
Difficulty, Discrimination, and Information Indices in the Linear Factor Analysis Model for Continuous Item Responses
Applied Psychological Measurement, January 1, 2009; 33(1): 9 - 24.
[Abstract] [PDF]

Home page
 Educational and Psychological MeasurementHome page
J. C. Immekus and P. K. Imbrie
Dimensionality Assessment Using the Full-Information Item Bifactor Analysis for Graded Response Data: An Illustration With the State Metacognitive Inventory
Educational and Psychological Measurement, August 1, 2008; 68(4): 695 - 709.
[Abstract] [PDF]

Home page
 Applied Psychological MeasurementHome page
H. Finch and B. Habing
Performance of DIMTEST- and NOHARM-Based Statistics for Testing Unidimensionality
Applied Psychological Measurement, July 1, 2007; 31(4): 292 - 307.
[Abstract] [PDF]

Home page
 Educational and Psychological MeasurementHome page
C. E. DeMars
``Guessing'' Parameter Estimates for Multidimensional Item Response Theory Models
Educational and Psychological Measurement, June 1, 2007; 67(3): 433 - 446.
[Abstract] [PDF]

Home page
 Applied Psychological MeasurementHome page
L. Yao and K. A. Boughton
A Multidimensional Item Response Modeling Approach for Improving Subscale Proficiency Estimation and Classification
Applied Psychological Measurement, March 1, 2007; 31(2): 83 - 105.
[Abstract] [PDF]

Home page
 Applied Psychological MeasurementHome page
L. Yao and R. D. Schwarz
A Multidimensional Partial Credit Model With Associated Item and Test Statistics: An Application to Mixed-Format Tests
Applied Psychological Measurement, November 1, 2006; 30(6): 469 - 492.
[Abstract] [PDF]

Home page
 Educational and Psychological MeasurementHome page
J. M. te Marvelde, C. A. W. Glas, G. Van Landeghem, and J. Van Damme
Application of Multidimensional Item Response Theory Models to Longitudinal Data
Educational and Psychological Measurement, February 1, 2006; 66(1): 5 - 34.
[Abstract] [PDF]

Home page
 Eval Health ProfHome page
C.-H. Chang and B. B. Reeve
Item Response Theory and its Applications to Patient-Reported Outcomes Measurement
Eval Health Prof, September 1, 2005; 28(3): 264 - 282.
[Abstract] [PDF]

Home page
 Educational and Psychological MeasurementHome page
W.-C. Wang, Y.-Y. Cheng, and M. Wilson
Local Item Dependence for Items Across Tests Connected by Common Stimuli
Educational and Psychological Measurement, February 1, 2005; 65(1): 5 - 27.
[Abstract] [PDF]

Home page
 Applied Psychological MeasurementHome page
Y. H. Li and W. D. Schafer
Trait Parameter Recovery Using Multidimensional Computerized Adaptive Testing in Reading and Mathematics
Applied Psychological Measurement, January 1, 2005; 29(1): 3 - 25.
[Abstract] [PDF]

Home page
 Educational and Psychological MeasurementHome page
W.-C. Wang
Direct Estimation of Correlation as a Measure of Association Strength Using Multidimensional Item Response Models
Educational and Psychological Measurement, December 1, 2004; 64(6): 937 - 955.
[Abstract] [PDF]

Home page
 Educational and Psychological MeasurementHome page
W.-C. Wang and W. Chyi-In
Gain Score in Item Response Theory as an Effect Size Measure
Educational and Psychological Measurement, October 1, 2004; 64(5): 758 - 780.
[Abstract] [PDF]

Home page
 Applied Psychological MeasurementHome page
W.-C. Wang and P.-H. Chen
Implementation and Measurement Efficiency of Multidimensional Computerized Adaptive Testing
Applied Psychological Measurement, September 1, 2004; 28(5): 295 - 316.
[Abstract] [PDF]

Home page
 Applied Psychological MeasurementHome page
D. M. Bolt and V. F. Lall
Estimation of Compensatory and Noncompensatory Multidimensional Item Response Models Using Markov Chain Monte Carlo
Applied Psychological Measurement, November 1, 2003; 27(6): 395 - 414.
[Abstract] [PDF]

Home page
 Applied Psychological MeasurementHome page
R. Tate
A Comparison of Selected Empirical Methods for Assessing the Structure of Responses to Test Items
Applied Psychological Measurement, May 1, 2003; 27(3): 159 - 203.
[Abstract] [PDF]

Home page
 Applied Psychological MeasurementHome page
B. P. Veldkamp,
Multidimensional Constrained Test Assembly
Applied Psychological Measurement, June 1, 2002; 26(2): 133 - 146.
[Abstract] [PDF]

Home page
 Applied Psychological MeasurementHome page
D. M. Bolt
Conditional Covariance-Based Representation of Multidimensional Test Structure
Applied Psychological Measurement, September 1, 2001; 25(3): 244 - 257.
[Abstract] [PDF]

Home page
 Applied Psychological MeasurementHome page
E. Muraki, C. M. Hombo, and Y.-W. Lee
Equating and Linking of Performance Assessments
Applied Psychological Measurement, December 1, 2000; 24(4): 325 - 337.
[Abstract] [PDF]

Home page
 Applied Psychological MeasurementHome page
Y. H. Li and R. W Lissitz
An Evaluation of the Accuracy of Multidimensional IRT Linking
Applied Psychological Measurement, June 1, 2000; 24(2): 115 - 138.
[Abstract] [PDF]

Home page
 Applied Psychological MeasurementHome page
A. E. Seraphine
The Performance of Dimtest When Latent Trait and Item Difficulty Distributions Differ
Applied Psychological Measurement, March 1, 2000; 24(1): 82 - 94.
[Abstract] [PDF]

Home page
 JOURNAL OF EDUCATIONAL AND BEHAVIORAL STATISTICSHome page
W. J. van der Linden
Multidimensional Adaptive Testing with a Minimum Error-Variance Criterion
Journal of Educational and Behavioral Statistics, January 1, 1999; 24(4): 398 - 412.
[Abstract] [PDF]

Home page
 REVIEW OF RESEARCH IN EDUCATIONHome page
J. HATTIE, R. M. JAEGER, and L. BOND
Chapter 11 : Persistent Methodological Questions in Educational Testing
Review of Research in Education, January 1, 1999; 24(1): 393 - 446.
[PDF]

Home page
 Applied Psychological MeasurementHome page
K. M. Mazor, R. K. Hambleton, and B. E. Clauser
Multidimensional DIF Analyses: The Effects of Matching on Unidimensional Subtest Scores
Applied Psychological Measurement, December 1, 1998; 22(4): 357 - 367.
[Abstract] [PDF]

Home page
 Applied Psychological MeasurementHome page
D. V. Budescu, Y. Cohen, and A. Ben-Simon
A Revised Modified Parallel Analysis for the Construction of Unidimensional Item Pools
Applied Psychological Measurement, September 1, 1997; 21(3): 233 - 252.
[Abstract] [PDF]

Home page
 Applied Psychological MeasurementHome page
R. J. Adams, M. Wilson, and W.-c. Wang
The Multidimensional Random Coefficients Multinomial Logit Model
Applied Psychological Measurement, March 1, 1997; 21(1): 1 - 23.
[Abstract] [PDF]

Home page
 Applied Psychological MeasurementHome page
M. D. Reckase
The Past and Future of Multidimensional Item Response Theory
Applied Psychological Measurement, March 1, 1997; 21(1): 25 - 36.
[Abstract] [PDF]

Home page
 Applied Psychological MeasurementHome page
W. J. van der Linden
Assembling Tests for the Measurement of Multiple Traits
Applied Psychological Measurement, December 1, 1996; 20(4): 373 - 388.
[Abstract]

Home page
 Applied Psychological MeasurementHome page
R. M. Luecht
Multidimensional Computerized Adaptive Testing in a Certification or Licensure Context
Applied Psychological Measurement, December 1, 1996; 20(4): 389 - 404.
[Abstract]

Home page
 Applied Psychological MeasurementHome page
T. Davey, T.C. Oshima, and K. Lee
Linking Multidimensional Item Calibrations
Applied Psychological Measurement, December 1, 1996; 20(4): 405 - 416.
[Abstract]

Home page
 Applied Psychological MeasurementHome page
B. G. Dodd, R.J. De Ayala, and W. R. Koch
Computerized Adaptive Testing With Polytomous Items
Applied Psychological Measurement, March 1, 1995; 19(1): 5 - 22.


Home page
 Applied Psychological MeasurementHome page
E. Muraki and J. E. Carlson
Full-Information Factor Analysis for Polytomous Item Responses
Applied Psychological Measurement, March 1, 1995; 19(1): 73 - 90.


Home page
 Applied Psychological MeasurementHome page
T. A. Ackerman and J. A. Evans
The Influence of Conditioning Scores In Performing DIF Analyses
Applied Psychological Measurement, December 1, 1994; 18(4): 329 - 342.
[Abstract] [PDF]

Home page
 Applied Psychological MeasurementHome page
T. A. Ackerman
Creating a Test Information Profile for a Two-Dimensional Latent Space
Applied Psychological Measurement, September 1, 1994; 18(3): 257 - 275.
[Abstract] [PDF]

Home page
 Educational and Psychological MeasurementHome page
M. Roznowski, L. G. Humphreys, and T. Davey
A Simplex Fitting Approach to Dimensionality Assessment of Binary Data Matrices
Educational and Psychological Measurement, June 1, 1994; 54(2): 263 - 283.
[Abstract]

Home page
 Applied Psychological MeasurementHome page
R. E. Millsap and H. T. Everson
Methodology Review: Statistical Approaches for Assessing Measurement Bias
Applied Psychological Measurement, December 1, 1993; 17(4): 297 - 334.
[Abstract] [PDF]

Home page
 Applied Psychological MeasurementHome page
R.-M. Batley and M. W. Boss
The Effects on Parameter Estimation of Correlated Dimensions and a Distribution-Restricted Trait in a Multidimensional Item Response Model
Applied Psychological Measurement, June 1, 1993; 17(2): 131 - 141.
[Abstract]

Home page
 Applied Psychological MeasurementHome page
R. Nandakumar
Assessing Essential Unidimensionality of Real Data
Applied Psychological Measurement, March 1, 1993; 17(1): 29 - 38.
[Abstract]

Home page
 JOURNAL OF EDUCATIONAL AND BEHAVIORAL STATISTICSHome page
R. Nandakumar and W. Stout
Refinements of Stout's Procedure for Assessing Latent Trait Unidimensionality
Journal of Educational and Behavioral Statistics, January 1, 1993; 18(1): 41 - 68.
[Abstract] [PDF]

Home page
 Journal of Research in Music EducationHome page
W. P. Vispoel
The Development and Evaluation of a Computerized Adaptive Test of Tonal Memory
Journal of Research in Music Education, January 1, 1993; 41(2): 111 - 136.
[Abstract] [PDF]

Home page
 Applied Psychological MeasurementHome page
T.C. Oshima and M. D. Miller
Multidimensionality and Item Bias in Item Response Theory
Applied Psychological Measurement, September 1, 1992; 16(3): 237 - 248.
[Abstract] [PDF]

Home page
 Applied Psychological MeasurementHome page
R. M. Luecht and T. R. Miller
Unidimensional Calibrations and Interpretations of Composite Traits for Multidimensional Tests
Applied Psychological Measurement, September 1, 1992; 16(3): 279 - 293.
[Abstract] [PDF]

Home page
 Applied Psychological MeasurementHome page
M. D. Reckase and R. L. McKinley
The Discriminating Power of Items That Measure More Than One Dimension
Applied Psychological Measurement, December 1, 1991; 15(4): 361 - 373.
[Abstract]

Home page
 Applied Psychological MeasurementHome page
M. Roznowski, L. R Tucker, and L. G. Humphreys
Three Approaches to Determining the Dimensionality of Binary Items
Applied Psychological Measurement, June 1, 1991; 15(2): 109 - 127.
[Abstract] [PDF]

Home page
 Applied Psychological MeasurementHome page
T. A. Ackerman
The Use of Unidimensional Parameter Estimates of Multidimensional Items in Adaptive Testing
Applied Psychological Measurement, March 1, 1991; 15(1): 13 - 24.
[Abstract] [PDF]

Home page
 Applied Psychological MeasurementHome page
T. A. Ackerman
Unidimensional IRT Calibration of Compensatory and Noncompensatory Multidimensional Items
Applied Psychological Measurement, June 1, 1989; 13(2): 113 - 127.
[Abstract]

Home page
 REVIEW OF RESEARCH IN EDUCATIONHome page
R. J. Mislevy
Chapter 6: Recent Developments in Item Response Theory with Implications for Teacher Certification
Review of Research in Education, January 1, 1987; 14(1): 239 - 275.
[PDF]