Table of contents

  1. Front Matter
    Pages 1-12
  2. Murray Aitkin, Irit Aitkin
    Pages 1-21
  3. Murray Aitkin, Irit Aitkin
    Pages 23-38
  4. Murray Aitkin, Irit Aitkin
    Pages 39-54
  5. Murray Aitkin, Irit Aitkin
    Pages 55-61
  6. Murray Aitkin, Irit Aitkin
    Pages 63-76
  7. Murray Aitkin, Irit Aitkin
    Pages 77-86
  8. Murray Aitkin, Irit Aitkin
    Pages 87-98
  9. Murray Aitkin, Irit Aitkin
    Pages 99-109
  10. Murray Aitkin, Irit Aitkin
    Pages 111-120
  11. Back Matter
    Pages 130-169

About this book


The purpose of this book is to evaluate a new approach to the analysis and reporting of the large-scale surveys for the National Assessment of Educational Progress carried out for the National Center for Education Statistics. The need for a new approach was driven by the demands for secondary analysis of the survey data by researchers who needed analyses more detailed than those published by NCES, and the need to  accelerate the processing and publication of results from the surveys.

This new approach is based on a full multilevel statistical and psychometric model for students’ responses to the test items, taking into account the design of the survey, the backgrounds of the students, and the classes, schools and communities in which the students were located. The authors detail a fully integrated single model that incorporates both the survey design and the psychometric model by extending the traditional form of the psychometric model to accommodate the design structure while allowing for student, teacher, and school covariates.


2PL model 3PL model NAEP NCES ability achievement design effect guessing and engagement mixture model multilevel model reporting group difference estimation weighting

Authors and affiliations

  • Irit Aitkin
    • 1
  • Murray Aitkin
    • 2
  1. 1., Mathematics and StatisticsUniversity of MelbourneCaulfieldAustralia
  2. 2.CaulfieldAustralia

Bibliographic information

  • DOI
  • Copyright Information Murray Aitkin and Irit Aitkin 2011
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4419-9936-8
  • Online ISBN 978-1-4419-9937-5
  • About this book