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Improved Approximations for Multilevel Models with Binary Responses

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  • Harvey Goldstein
  • Jon Rasbash

Abstract

This paper discusses the use of improved approximations for the estimation of generalized linear multilevel models where the response is a proportion. Simulation studies by Rodriguez and Goldman have shown that in extreme situations large biases can occur, most notably when the response is binary, the number of level 1 units per level 2 unit is small and the underlying random parameter values are large. An improved approximation is introduced which largely eliminates the biases in the situation described by Rodriguez and Goldman.

Suggested Citation

  • Harvey Goldstein & Jon Rasbash, 1996. "Improved Approximations for Multilevel Models with Binary Responses," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 159(3), pages 505-513, May.
  • Handle: RePEc:bla:jorssa:v:159:y:1996:i:3:p:505-513
    DOI: 10.2307/2983328
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