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Random Coefficients Regression

Random Coefficients Regression. RPD – Section 18.3. Basic Model. Simple Linear Regression where each of n experimental units is observed at t points in time (typically) . General Model ( Gumpertz and Pantula (1989)).

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Random Coefficients Regression

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  1. Random Coefficients Regression RPD – Section 18.3

  2. Basic Model • Simple Linear Regression where each of n experimental units is observed at t points in time (typically)

  3. General Model (Gumpertz and Pantula (1989)) • Possibly Multiple Linear Regression where each of n experimental units is observed at t points in time, based on regression with k parameters

  4. Estimating Individual/Population Regression Parameters

  5. Estimating Variance Parameters - I

  6. Estimating Variance Parameters - II

  7. Example – Annual Air Revenues for 10 Markets • Random Sample of n = 10 large air markets (City Pairs), each observed over 5 years • Y = ln(Average Fare * Average weekly Passengers) • X = Year (1996/7=0, 2000/1=4) – Note: All Cities have same levels of X (not necessary for the method)

  8. Air Revenue Data II

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