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Standard error correction in two-stage estimation with nested samples

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  • Pinar Karaca-Mandic
  • Kenneth Train

Abstract

Data at different levels of aggregation are often used in two-stage estimation, with estimates obtained at the higher level of aggregation entering the estimation at the lower level of aggregation. An example is customers within markets: first-stage estimates on market data provide variables that enter the second-stage model on customers. We derive the asymptotic covariance matrix of the second-stage estimates for situations such as these. We implement the formulae in the Petrin--Train application of households" choice of TV reception and compare the calculated standard errors with those obtained without correction. In this application, ignoring the sampling variance in the first-stage estimates would be seriously misleading. Copyright Royal Economic Society, 2003

Suggested Citation

  • Pinar Karaca-Mandic & Kenneth Train, 2003. "Standard error correction in two-stage estimation with nested samples," Econometrics Journal, Royal Economic Society, vol. 6(2), pages 401-407, December.
  • Handle: RePEc:ect:emjrnl:v:6:y:2003:i:2:p:401-407
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