103
Views
6
CrossRef citations to date
0
Altmetric
Applications and Case Studies

Efficient Matrix Sampling Instruments for Correlated Latent Traits: Examples from the National Assessment of Educational Progress

&
Pages 416-425 | Received 01 Feb 1996, Published online: 17 Feb 2012

References

  • Adams , L. M. and Gale , D. 1982 . “Solving the Quandry Between Questionnaire Length and Response Rate in Educational Research,” . Research in Higher Education , 17 : 231 – 240 .
  • Chang , H. and Stout , W. 1993 . “The Asymptotic Posterior Normality of the Latent Trait in an IRT Model,” . Psychometrika , 58 : 37 – 52 .
  • Darroch , J. , Fienberg , S. , Glonek , G. and Junker , B. 1993 . “A Three-Sample Multiple-Recapture Approach to Census Population Estimation With Heterogeneous Catchability,” . Journal of the American Statistical Association , 88 : 1137 – 1148 .
  • Duncan , O. 1984 . “Rasch Measurement: Further examples and discussion,” . In Surveying subjective phenomena , Edited by: Turner , C. and Martin , E. Vol. 2 , 367 – 403 . New York : Russell Sage Foundation .
  • Hambleton , R. and Swaminathan , H. 1985 . Item Response Theory: Principles and Applications , Boston : Kluwer-Nijhoff .
  • Herzog , A. R. and Bachman , J. G. 1980 . “Effects of Questionnaire Length on Response Quality,” . Public Opinion Quarterly , 45 : 549 – 559 .
  • Hooke , R. 1956 . “Some Applications of Bipolykays to the Estimation of Variance Components and Their Moments,” . Annals of Mathematical Statistics , 27 : 80 – 98 .
  • Johnson , E. and Allen , N. 1992 . “The NAEP 1990 Technical Report,” , National Center for Educational Statistics . 21-TR-20
  • Johnson , E. and Carlson , J. 1994 . “The NAEP 1992 Technical Report,” , National Center for Educational Statistics . 23-TR-20
  • Johnson , E. and Rust , K. 1992 . “Population Inferences and Variance Estimation for NAEP Data,” . Journal of Educational Statistics , 17 : 175 – 190 .
  • Johnson , J. 1984 . Econometric Methods , New York : McGraw-Hill .
  • Johnson , R. and Woltman , H. 1987 . “Evaluating Census Data Quality Using Intensive Reinterview: A Comparison of U.S. Census Bureau Methods and Rasch Methods,” . Sociological Methodology , 17 : 185 – 204 .
  • Laird , N. and Louis , T. 1989 . “Empirical Bayes Ranking Methods,” . Journal of Educational Statistics , 14 : 29 – 46 .
  • Little , R. J. A. and Rubin , D. R. 1987 . Statistical Analysis With Missing Data , New York : Wiley .
  • Lord , F. M. 1962 . “Estimating Norms by Item Sampling,” . Educational and Psychological Measurement , 22 : 259 – 267 .
  • Martin , E. , Campanelli , P. and Fay , R. 1991 . “An Application of Rasch Analysis to Questionnaire Design: Using Vignettes to Study the Meaning of ‘Work’ in the Current Population Survey,” . The Statistician , 40 : 265 – 276 .
  • McDonald , R. 1967 . “Numerical Methods in Nonlinear Factor Analysis,” . Psychometric Monograph , : 15
  • McDonald , R. 1982 . “Linear Versus Nonlinear Models in Item Response Theory,” . Applied Psychological Measurement , 6 : 379 – 396 .
  • Mislevy , R. 1985 . “Estimation of Latent Group Effects,” . Journal of the American Statistical Association , 80 : 993 – 997 .
  • Mislevy , R. 1991 . “Randomization-Based Inferences About Latent Variables From Complex Samples,” . Psychometrika , 56 : 177 – 196 .
  • Mislevy , R. and Bock , D. 1982 . BILOG: Item Analysis and Test Scoring With Binary Logistic Models , Mooresville , IN : Scientific Software .
  • Mislevy , R. , Johnson , E. and Muraki , E. 1992 . “Estimating Population Characteristics From Sparse Matrix Samples of Item Responses,” . Journal of Educational Statistics , 17 : 131 – 154 .
  • Muraki , E. 1992 . “A Generalized Partial Credit Model: Application of an EM Algorithm,” . Applied Psychological Measurements , 16 : 159 – 176 .
  • Muthen , B. 1978 . “Contributions to Factor Analysis of Dichotomous Variables,” . Psychometrika , 43 : 551 – 560 .
  • Muthen , B. 1979 . “A Structural Probit Model With Latent Variables,” . Journal of the American Statistical Association , 74 : 807 – 811 .
  • Normand , S. , Glickman , M. and Gatsonis , C. 1995 . “Statistical Methods for Profiling Providers of Medical Care: Issues and Applications,” , Harvard Medical School, Dept. of Health Care Policy . Report HCP-1995–1
  • Pandey , T. and Carlson , D. 1976 . “Assessing Payoffs in the Estimation of the Mean Using Multiple Matrix Sampling Designs,” . In Advances in Psychological and Educational Measurement , Edited by: de Gruijter , D. and Van der Kamp , L. New York : Wiley .
  • Raghunathan , T. E. and Grizzle , J. E. 1995 . “A Split-Questionnaire Survey Design,” . Journal of the American Statistical Association , 90 : 54 – 63 .
  • Rao , C. R. 1965 . Linear Statistical Inference and Its Applications , New York : Wiley .
  • Robbins , J. , Rotnitzky , A. and Zhao , L. 1994 . “Estimation of Regression Coefficients When Some Regressors are not Always Observed,” . Journal of the American Statistical Association , 89 : 846 – 866 .
  • Rogosa , D. and Saner , H. 1995 . “Longitudinal Data Analysis Examples With Random Coefficient Models,” . Journal of Educational and Behavioral Statistics , 20 : 149 – 170 .
  • Samejima , F. 1969 . “Estimation of Latent Ability Using a Response Pattern of Graded Scores,” . Psychometrika Monograph Supplement , : 17
  • Shoemaker , D. M. 1973 . Principles and Procedures of Multiple Matrix Sampling , Cambridge , MA : Ballinger .
  • Sirotnik , K. and Wellington , R. 1977 . “Incidence Sampling: An Integrated Theory for Matrix Sampling,” . Journal of Educational Measurement , 14 : 343 – 399 .
  • Thomas , N. 1993 . “Asymptotic Corrections for Multivariate Posterior Moments With Factored Likelihood Functions,” . Journal of Computational and Graphical Statistics , 2 : 309 – 322 .
  • Thomas , N. and Gan , N. “Generating Multiple Imputations for Matrix Sampling Data Analyzed With Item Response Models,” (in press), submitted to Journal of Educational and Behavioral Statistics.
  • Thomas , N. , Longford , N. and Rolph , J. 1994 . “Empirical Bayes Methods for Estimating Hospital-Specific Mortality Rates,” . Statistics in Medicine , 13 : 889 – 903 .
  • Wacholder , S. , Carroll , R. , Pee , D. and Gail , M. 1994 . “The Partial Questionnaire Design for Case-Control Studies,” . Statistics in Medicine , 13 : 623 – 634 .
  • Williams , P. and Ryan , L. 1996 . “Design of Multiple Binary Outcome Studies With Intentionally Missing Data,” . Biometrics , 52 : 1498 – 1514 .
  • Zellner , A. 1962 . “An Efficient Method of Estimating Seemingly Unrelated Regressions and Tests for Aggregation Bias,” . Journal of the American Statistical Association , 57 : 348 – 368 .

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.