Multivariate Regressed Scores

  • Robert L. Brennan
Part of the Statistics for Social Sciences and Public Policy book series (SSBS)


Recall from Section 5.5.2 that Kelley’s regressed score estimates of true score are easily extended to estimates of universe score in univariate gen-eralizability theory. The basic equation is
$${\hat \mu _p} = (1 - E{\rho ^2})\mu + E{\rho ^2}{\bar X_p}$$
where p stands for an object of measurement. The principal way in which univariate generalizability theory extends Kelley’s work is through the many different D study designs and universes of generalization that may be employed to characterize 2 and arrive at an estimate of it.


Synthetic Data Normal Equation Prediction Equation Classical Test Theory Generalizability Coefficient 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Robert L. Brennan
    • 1
  1. 1.Iowa Testing ProgramsUniversity of IowaIowa CityUSA

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