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Box–Cox transformation for spatial linear models: a study on lattice data

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Abstract

In this article, we extended the classic Box–Cox transformation to spatial linear models. For a comparative study, the proposed models were applied to a real data set of Chinese population growth and economic development with three different structures: no spatial correction, conditional autoregressive and simultaneous autoregressive. Maximal likelihood method was used to estimate the Box–Cox parameter λ and other parameters in the models. The residuals of the models were analyzed through Moran’s I and Geary’s c.

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References

  • Box GEP, Cox DR (1964) An analysis of transformations. J R Stat Soc Ser B 26: 211–246

    MATH  MathSciNet  Google Scholar 

  • Casella G, Roger RL (2002) Statistical inference, 2nd edn. Pacific Grove, Duxbury

    Google Scholar 

  • Cliff AD, Ord JK (1981) Spatial processes: models and applications. Pion, London

    MATH  Google Scholar 

  • Congdon P (2007) A model of spatial variation in life expectancy: mortality in Chinese regions in 2000. Int J Health Geogr 6 (in press)

  • Cressie NAC (1993) Statistics for spatial data. Wiley, New York

    Google Scholar 

  • Diggle PJ (1983) Statistical analysis for spatial point patterns. Academic Press, London

    Google Scholar 

  • Draper NR, Smith R (1998) Applied regression analysis, 3rd edn. Wiley, New York

    Google Scholar 

  • Geary RC (1954) The contiguity ratio and statistical mapping. Inc Stat 5: 115–145

    Google Scholar 

  • Haining R (1990) Spatial data analysis in the social and environmental sciences. Cambridge University Press, Cambridge

    Google Scholar 

  • Lai DJ, Xiong TY (2006) A spatial statistical analysis on Chinese population growth and economic development. Stat Decis, No. 12, pp 72–73 (in Chinese)

  • Moran PAP (1950) Notes on continuous stochastic phenomena. Biometrika 40: 19–32

    Google Scholar 

  • National Bureau of Statistics (NBS) (2005) China statistical abstract-2005. Statistical Publishing House, Beijing

  • Waller LA, Gotway CA (2004) Applied spatial statistics for public health data. Wiley, New York

    Book  MATH  Google Scholar 

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Correspondence to Dejian Lai.

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Lai, D. Box–Cox transformation for spatial linear models: a study on lattice data. Stat Papers 51, 853–864 (2010). https://doi.org/10.1007/s00362-008-0178-4

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  • DOI: https://doi.org/10.1007/s00362-008-0178-4

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