238
Views
5
CrossRef citations to date
0
Altmetric
Articles

Exploring differential bundle functioning in mathematics by gender: the effect of hierarchical modelling

, &
Pages 82-100 | Received 01 Sep 2010, Accepted 02 Oct 2011, Published online: 20 Apr 2012

References

  • Adams , J. W. and Hitch , G. J. 1997 . Working memory and children's mental addition . Journal of Experimental Child Psychology , 67 ( 1 ) : 21 – 38 . (doi:10.1006/jecp.1997.2397)
  • Baddeley , A. D. 1986 . Working memory , Oxford : Oxford University Press .
  • Bates, D., M. Maechler, and B. Bolker. 2011. The lme4 Package version 0.999375–41. http://cran.r-project.org/web/packages/lme4/lme4.pdf (accessed August 18, 2011)
  • Birnbaum , A. 1968 . “ Some latent trait models and their use in inferring an examinee's ability ” . In Statistical theories of mental test scores , Edited by: Lord , F. M. and Novick , M. R. 397 – 472 . Reading , MA : Addison-Wesley .
  • Bond , T. B. and Fox , C. M. 2007 . Applying the Rasch model: Fundamental measurement in the human sciences , 2 , Mahwah , NJ : Lawrence Erlbaum .
  • Carr , M. and Davis , H. 2001 . Gender differences in arithmetic strategy use: A function of skill and preference . Contemporary Educational Psychology , 26 ( 3 ) : 330 – 47 . (doi:10.1006/ceps.2000.1059)
  • De Boeck , P. 2008 . Random item IRT models . Psychometrika , 73 ( 4 ) : 533 – 59 . (doi:10.1007/s11336-008-9092-x)
  • Department for Education and Employment . 1999 . The National Numeracy Strategy: Framework for teaching mathematics, reception to year 6 , London : Department for Education and Employment .
  • Department for Education and Employment, and Qualifications and Curriculum Authority . 1999 . Mathematics: The national curriculum for England, key stages 1–4 , London : Crown, QCA .
  • Dorans , N. J. and Kulick , E. M. 1986 . Demonstrating the utility of the standardization approach assessing unexpected differential item performance on the Scholastic Aptitude Test . Journal of Educational Measurement , 23 ( 4 ) : 355 – 68 . (doi:10.1111/j.1745-3984.1986.tb00255.x)
  • Douglas , J. A. , Roussos , L. A. and Stout , W. 1996 . Item-bundle DIF hypothesis testing: Identifying suspect bundles and assessing their differential functioning . Journal of Educational Measurement , 33 ( 4 ) : 465 – 84 . (doi:10.1111/j.1745-3984.1996.tb00502.x)
  • Gierl , M. J. , Bisanz , J. , Bisanz , G. L. and Boughton , K. A. 2003 . Identifying content and cognitive skills that produce gender differences in mathematics: A demonstration of the multidimensionality-based DIF analysis paradigm . Journal of Educational Measurement , 40 ( 4 ) : 281 – 306 . (doi:10.1111/j.1745-3984.2003.tb01148.x)
  • Goldstein , H. 1995 . Multilevel statistical models , 2 , London : Arnold .
  • Gorard , S. 2007 . The dubious benefits of multi-level modeling . International Journal of Research & Method in Education , 30 ( 2 ) : 221 – 30 . (doi:10.1080/17437270701383560)
  • Hambleton , R. K. 1993 . “ Principles and selected applications of item response theory ” . In Educational measurement , 4 , Edited by: Linn , R. L. 147 – 200 . New York : American Council on Education and Macmillan .
  • Heck , R. H. and Thomas , S. L. 1999 . An introduction to multilevel modeling techniques , Mahwah , , NJ : Lawrence Erlbaum .
  • Holland , P. and Thayer , D. 1988 . “ Differential item performance and the Mantel Haenszel procedure ” . In Test validity , Edited by: Wainer , H. and Braun , H. I. 129 – 145 . Hillsdale , NJ : Lawrence Erlbaum .
  • Holmes , J. and Adams , J. W. 2006 . Working memory and children's mathematical skills: Implications for mathematical development and mathematics curricula . Educational Psychology , 26 ( 3 ) : 339 – 66 . (doi:10.1080/01443410500341056)
  • Hox , J. 2002 . Multilevel analysis: Techniques and applications , Mahwah , NJ : Lawrence Erlbaum .
  • Hutcheson , G. and Sofroniou , N. 1999 . The multivariate social scientist: Introductory statistics using generalised linear models , London : Sage .
  • Hyde , J. S. , Fennema , E. and Lamon , S. J. 1990 . Gender differences in mathematics performance: A meta-analysis . Psychological Bulletin , 107 ( 2 ) : 139 – 55 . (doi:10.1037/0033-2909.107.2.139)
  • Kamata , A. 2001 . Item analysis by hierarchical generalised linear models . Journal of Educational Measurement , 38 ( 1 ) : 79 – 93 . (doi:10.1111/j.1745-3984.2001.tb01117.x)
  • Kim, W. 2003. Development of a differential item functioning (DIF) procedure using the hierarchical generalized linear model: A comparison study with logistic regression procedure. PhD thesis, The Pennsylvania State University
  • Kreft , I. and de Leeuw , J. 1998 . Introducing multilevel modelling , London : Sage .
  • Leder , G. C. 1992 . “ Mathematics and gender: Changing perspectives ” . In Handbook of research on mathematics teaching and learning , Edited by: Grouws , D. A. 597 – 622 . Oxford : Maxwell Macmillan International .
  • Linacre, J. 2009. WINSTEPS: Rasch-model computer programs. Winsteps.com, Chicago, IL
  • Liu , O. L. and Wilson , M. 2009 . Gender differences in large-scale math assessments: PISA trend 2000 and 2003 . Applied Measurement in Education , 22 ( 2 ) : 164 – 84 . (doi:10.1080/08957340902754635)
  • Longford , N. T. , Holland , P. W. and Thayer , D. T. 1993 . “ Stability of the MH D-DIF statistics across populations ” . In Differential item functioning , Edited by: Holland , P. W. and Thayer , D. T. 171 – 96 . Hillsdale , NJ : Lawrence Erlbaum .
  • Lynn , R. and Irwing , P. 2008 . Sex differences in mental arithmetic, digit span, and g defined as working memory capacity . Intelligence , 36 ( 3 ) : 226 – 35 . (doi:10.1016/j.intell.2007.06.002)
  • Manger , T. 1995 . Gender differences in mathematical achievement at the Norwegian elementary-school level . Scandinavian Journal of Educational Research , 39 ( 3 ) : 257 – 69 . (doi:10.1080/0031383950390306)
  • Mellenbergh , G. J. 1982 . Contingency table models for assessing item bias . Journal of Educational Statistics , 7 ( 2 ) : 105 – 18 . (doi:10.2307/1164960)
  • Mendes-Barnett , S. and Ercikan , K. 2006 . Examining sources of gender DIF in mathematics assessments using a confirmatory multidimensional model approach . Applied Measurement in Education , 19 ( 4 ) : 289 – 304 . (doi:10.1207/s15324818ame1904_4)
  • Muijs , D. 2004 . Doing quantitative research in education with SPSS , London : Sage .
  • Ong, Y.M. 2010. Understanding differential functioning by gender in mathematics assessment. PhD thesis, The University of Manchester
  • Ong , Y. M. , Williams , J. S. and Lamprianou , I. 2011 . Exploration of the validity of gender differences in mathematics assessment using differential bundle functioning . International Journal of Testing , 11 ( 3 ) : 271 – 93 . (doi:10.1080/15305058.2011.555574)
  • Penfield , R. D. 2010 . Modeling DIF effects using distractor-level invariance effects: Implications for understanding the causes of DIF . Applied Psychological Measurement , 34 ( 3 ) : 151 – 65 . (doi:10.1177/0146621609359284)
  • Petridou , A. and Williams , J. 2007 . Accounting for aberrant test response patterns using multilevel models . Journal of Educational Measurement , 44 ( 3 ) : 227 – 47 . (doi:10.1111/j.1745-3984.2007.00036.x)
  • Plewis , I. and Fielding , A. 2003 . What is multi-level modelling for? A critical response to Gorard (2003) . British Journal of Educational Studies , 51 ( 4 ) : 408 – 19 . (doi:10.1046/j.1467-8527.2003.00246.x)
  • Qualification and Curriculum Authority. 2007a. Key Stage 2: Mathematics Test A, QCA reference number 275355. https://www.orderline.qca.org.uk/gempdf/1847214444/1847213626.pdf (accessed July 18, 2008)
  • Qualification and Curriculum Authority. 2007b. Key Stage 2: Mathematics Test B, QCA reference number 275356. https://www.orderline.qca.org.uk/gempdf/1847214444/1847213634.pdf (accessed July 18, 2008)
  • Qualification and Curriculum Authority. 2007c. Key Stage 2: Mental mathematics, QCA reference number 275361. https://orderline.qcda.gov.uk/gempdf/1847214487/1847213642.pdf (accessed July 18, 2008)
  • R Development Core Team. 2011. R: A language and environment for statistical computing. R Foundation for Statistic Computing, Vienna, Austria, ISBN 3-90051-07-0. http://www.R-project.org/
  • Rasch , G. 1960 . Probabilistic models for some intelligence and attainment tests , Copenhagen : Denmark's Paedagogistic Institut .
  • Ryan , K. E. and Chiu , S. 2001 . An examination of item context effects, DIF, and gender DIF . Applied Measurement in Education , 14 ( 1 ) : 73 – 90 . (doi:10.1207/S15324818AME1401_06)
  • Snijders , T. and Bosker , R. J. 1999 . An introduction to basic and advanced multilevel modeling , London : Sage .
  • Swaminathan , H. and Rogers , H. J. 1990 . Detecting differential item functioning using logistic regression procedures . Journal of Educational Measurement , 27 ( 4 ) : 361 – 70 . (doi:10.1111/j.1745-3984.1990.tb00754.x)
  • Swanson , D. B. , Clauser , B. E. , Case , S. M. , Nungester , R. J. and Featherman , C. 2002 . Analysis of differential item functioning (DIF) using hierarchical logistic regression models . Journal of Educational and Behavioral Statistics , 27 ( 1 ) : 53 – 75 . (doi:10.3102/10769986027001053)
  • Van den Noortgate , W. and De Boeck , P. 2005 . Assessing and explaining differential item functioning using logistic mixed models . Journal of Educational and Behavioral Statistics , 30 ( 4 ) : 443 – 64 . (doi:10.3102/10769986030004443)
  • Van den Noortgate , W. , De Boeck , P. and Meulders , M. 2003 . Cross-classification multilevel logistic models in psychometrics . Journal of Educational and Behavioral Statistics , 28 ( 4 ) : 369 – 86 . (doi:10.3102/10769986028004369)
  • Wainer , H. , Sireci , S. G. and Thissen , D. 1991 . Differential testlet functioning: Definitions and detection . Journal of Educational Measurement , 28 ( 3 ) : 197 – 219 . (doi:10.1111/j.1745-3984.1991.tb00354.x)
  • Walker , C. M. and Beretvas , S. N. 2001 . An empirical investigation demonstrating the multidimensional DIF paradigm: A cognitive explanation for DIF . Journal of Educational Measurement , 38 ( 2 ) : 147 – 63 . (doi:10.1111/j.1745-3984.2001.tb01120.x)
  • Walker , C. M. , Zhang , B. and Surber , J. 2008 . Using a multidimensional differential item functioning framework to determine if reading ability affects student performance in mathematics . Applied Measurement in Education , 21 ( 2 ) : 162 – 81 . (doi:10.1080/08957340801926201)

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.