Published

2010-07-01

ANÁLISIS DE CORRESPONDENCIAS A PARTIR DE UNA MUESTRA PROBABILÍSTICA

ANALYSIS OF CORRESPONDENCE FROM A PROBABILISTIC SAMPLE

Keywords:

análisis de correspondencias, muestreo probabilístico, Bootstrap, Jackknife (es)
Correspondence analysis, Probability sampling, Bootstrap, Jackknife (en)

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Authors

  • Javier Ramírez Universidad de Córdoba
  • Guillermo Martínez Universidad de Córdoba
A partir del análisis de correspondencias clásico aplicado a las tablas denominadas de correspondencias, se desarrolla la teoría para dicho análisis a partir de una muestra probabilística. El enfoque de esta teoría se encamina a la estimación de los valores y vectores propios asociados a las matrices por diagonalizar, ya sea en el análisis simple o en el múltiple, para luego establecer las estimaciones de los vectores propios que conducen a los ejes factoriales, permitiéndose una representación gráfica para mejorar la interpretación en el análisis. Se realizan además estimaciones de las medidas de calidad asociadas a la representación, como son: inercia, contribuciones y cosenos cuadrados.
From the classic analysis of correspondences applied to the denominated tables of correspondences, the theory for this analysis from a probabilistic sample is developed. The approach of this theory directs to the estimation of eigenvalues and eigenvectors associated to the matrices to be diagonalized, either in a simple analysis or in the multiple one, to establish estimations of the eigenvectors that lead to the factorial axes, allowing a graphical representation to improve performance in the analysis. Estimates of quality measures associated to the representation are made, such as inertia, contributions and squares cosines.

References

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How to Cite

Ramírez, J., & Martínez, G. (2010). ANALYSIS OF CORRESPONDENCE FROM A PROBABILISTIC SAMPLE. Revista Colombiana De Estadística, 33(2), 273-293. https://revistas.unal.edu.co/index.php/estad/article/view/29822

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