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Alternative link functions in binomial response models

Author

Listed:
  • Malinda Coa Ravelo

    (MSc en Estadística por la Universidad de Los Andes. Escuela de Estadística. Universidad de Los Andes. Mérida, Venezuela.)

  • Ernesto Ponsot Balaguer

    (PhD en Estadística. Escuela de Ciencias Matemáticas y Computacionales. Universidad de Investigación de Tecnología Experimental Yachay. Imbabura, Ecuador.)

Abstract

In this research, alternative link functions to the logit function are considered in the adjustment of binomial response models. The logit model is the most used within the analysis of categorical data with dichotomous response; however, some alternative link functions may be more appropriate in specific applications. Along with the logit link, the probit, cauchit, cloglog, loglog, clog and log links are explored in this research. Starting from the saturated binomial model, for each mentioned link, the necessary equations for the calculation of the estimators and their variances are developed, and their behavior is discussed in some interesting situations, suggesting the researcher concerning the most suitable model to select according to the objectives that are pursued.

Suggested Citation

  • Malinda Coa Ravelo & Ernesto Ponsot Balaguer, 2019. "Alternative link functions in binomial response models," Economía, Instituto de Investigaciones Económicas y Sociales (IIES). Facultad de Ciencias Económicas y Sociales. Universidad de Los Andes. Mérida, Venezuela, vol. 44(48), pages 9-35, july-dece.
    • Handle: RePEc:ula:econom:v:44:y:2019:i:48:p:9-35
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    More about this item

    Keywords

    generalized linear models; link function; binomial response models; estimation;
    All these keywords.

    JEL classification:

    • C01 - Mathematical and Quantitative Methods - - General - - - Econometrics
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities

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