Statistical Papers

, Volume 53, Issue 2, pp 387–400 | Cite as

Pseudolikelihood ratio test with biased observations

  • X. Joan HuEmail author
  • Bin Zhang
Regular Article


This paper explores testing procedures with response-related incomplete data, with particular attention centered to pseudolikelihood ratio tests. We construct pseudolikelihood functions with the biased observations supplemented by auxiliary information, without specifying the association between the primary variables and the auxiliary variables. The asymptotic distributions of the test statistics under the null hypothesis are derived and finite-sample properties of the testing procedures are examined via simulation. The methodology is illustrated with an example involving evaluation of kindergarten readiness skills in children with sickle cell disease.


Auxiliary information Hypotheses testing Incomplete data Pseudoscore function 


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Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  1. 1.Department of Statistics and Actuarial ScienceSimon Fraser UniversityBurnabyCanada
  2. 2.Clinical Epidemiology Research and Training UnitBoston University School of MedicineBostonUSA

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