A Graphical Diagnostic Test for Two-Way Contingency Tables

• JORGE IVÁN VÉLEZ ^[1] ; FERNANDO MARMOLEJO-RAMOS ^[2] ; JUAN CARLOS CORREA ^[3]
  1. [1] Australian National University

     Australian National University

     Australia

     
  2. [2] Stockholm University

     Stockholm University

     Suecia

     
  3. [3] Universidad Nacional de Colombia

     Universidad Nacional de Colombia

     Colombia

     

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• Localización: Revista Colombiana de Estadística, ISSN-e 2389-8976, ISSN 0120-1751, Vol. 39, Nº. 1, 2016, págs. 97-108
• Idioma: inglés
• DOI: 10.15446/rce.v39n1.55142
• Títulos paralelos:
  • Un prueba gráfica de diagnóstico para tablas de contingencia de doble entrada
• Enlaces
  • Texto completo
• Resumen
  • español

    Proponemos e ilustramos un nuevo método gráfico para realizar análisis de diagníistico en tablas de contingencia de doble entrada. En este método, se adiciona o remueve una observación de cada celda a la vez mientras las demas se mantienen constantes, y el cambio en un estadíistico de interés se representa gráficamente. El método proporciona una manera simple de determinar cuán robusto es nuestro modelo (y por lo tanto nuestras conclusiones) cuando se introducen pequeños cambios en los datos. Ilustramos cómo funciona el método con cuatro ejemplos, tres de ellos con datos reales.

  • English

    We propose and illustrate a new graphical method to perform diagnostic analyses in two-way contingency tables. In this method, one observation is added or removed from each cell at a time, whilst the other cells are held constant, and the change in a test statistic of interest is graphically represented. The method provides a very simple way of determining how robust our model is (and hence our conclusions) to small changes introduced to the data. We illustrate via four examples, three of them from real-world applications, how this method works.

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