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Advances in Regression, Survival Analysis, Extreme Values, Markov Processes and Other Statistical Applications pp 325–336Cite as

Joint-Regression Analysis and Incorporation of Environmental Variables in Stochastic Frontier Production Function: An Application to Experimental Data of Winter Rye

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Part of the book series: Studies in Theoretical and Applied Statistics ((STASSPSS))

Abstract

This chapter joins the main properties of two specific regression techniques, joint-regression analysis (JRA) and stochastic frontier approach (SFA) in the analysis of experimental data sets from a breeding program of winter rye (Secale cereale L.), conducted in Poland, Research Center for Cultivar Testing de Słupia Wielka, over the period 1997–1998. With JRA, a meta-model, based on several linear regressions, had been estimated in order to analyze multilocation trials of winter rye production and to select the best cultivars (more productive) for a related stratum (locality/genotype). With SFA, another regression model had been investigated to predict production rankings of cultivars, through individual efficiency estimates. These measures resulted from a stochastic production frontier on experimental data of production and different climate conditions. Both techniques show similar dominant cultivars for the same environments.

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Acknowledgments

The Research Center for Cultivar Testing de Słupia Wielka (Poland) is thanked for allowing the use of their data in this study.

The first author of this work is a member of the CIMA-UE, research center financed by the Science and Technology Foundation, Portugal.

We thank the anonymous referees for their suggestions, which greatly improved this chapter.

Author information

Authors and Affiliations

  1. Department of Mathematics and CIMA, University of Évora, R. Romão Ramalho, 59, 7000-671, Évora, Portugal

    Dulce Gamito Pereira

  2. Business Research Unit-ISCTE and Department of Mathematics, University of Évora, R. Romão Ramalho, 59, 7000-671, Évora, Portugal

    Ana Sampaio

Authors
  1. Dulce Gamito Pereira
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  2. Ana Sampaio
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Corresponding author

Correspondence to Dulce Gamito Pereira .

Editor information

Editors and Affiliations

  1. , Universidade Nova de Lisboa, CMA and Faculdade de Ciˆenciase Tecnolog, Caparica, Caparica, 2829-516, Portugal

    João Lita da Silva

  2. , Universidade Nova de Lisboa, CMA and Faculdade de Ciˆenciase Tecnolog, Caparica, Caparica, 2829-516, Portugal

    Frederico Caeiro

  3. , Universidade Nova de Lisboa, CEAUL and Faculdade de Ciˆenciase Tecnol, Caparica, Caparica, 2829-516, Portugal

    Isabel Natário

  4. , Universidade Nova de Lisboa,, CEAUL and Faculdade de Ciˆenciase Tecnol, Caparica 59, Caparica, 2829-516, Portugal

    Carlos A. Braumann

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Pereira, D.G., Sampaio, A. (2013). Joint-Regression Analysis and Incorporation of Environmental Variables in Stochastic Frontier Production Function: An Application to Experimental Data of Winter Rye. In: Lita da Silva, J., Caeiro, F., Natário, I., Braumann, C. (eds) Advances in Regression, Survival Analysis, Extreme Values, Markov Processes and Other Statistical Applications. Studies in Theoretical and Applied Statistics(). Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34904-1_34

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