¹John Curtin School of Medical Research, Australian National University, The Arcos-Burgos Group, Canberra, ACT, Australia. University of Antioquia, Neuroscience Research Group, Medellín, Colombia. National University of Colombia, Department of Statistics, Research Group in Statistics, Medellín, Colombia. Ph.D. Scholar. Email: jorge.velez@anu.edu.au
²Stockholm University, Frescati Hagväg, Department of Psychology, Gösta Ekman Laboratory, Stockholm, Sweden. Postdoctoral Fellow. Email: fernando.marmolejo.ramos@psychology.su.se
³National University of Colombia, Department of Statistics, Research Group in Statistics, Medellín, Colombia. National University of Colombia, Department of Statistics, Medellín, Colombia. Associate Professor. Email: jcorrea@unal.edu.co

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.

Key words: Contingency Tables, Diagnostics, Statistical Graphics.

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.

Palabras clave: diagnósticos, gráficos estadíisticos, tablas de contingencia.

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