Dos medidas de asimetría basadas en la moda: cálculo y normas interpretativas

Resumen

Este estudio metodológico de simulación presenta de forma ejemplificada dos medidas de asimetría. Aunque pueden ser útiles cuando la distribución es unimodal, no se reportan en la investigación psicológica. Una es la distancia estandarizada de la media a la moda de Pearson. La otra es la medida robusta de asimetría de Bickel. Se muestra cómo calcular la estimación puntual y de intervalo con el programa R. Además, se calculan intervalos de confianza al 90 %, 95 % y 99 % con 10 000 extracciones con reemplazamiento de muestras-población con distribución normal y diferentes tamaños para disponer de directrices interpretativas de simetría. Se concluye que la regla ∓0.1 no aplica, la moda de Grenander proporciona los intervalos de confianza más eficientes, pero la asimetría de Bickel es la opción con variables ordinales.

Palabras clave:

Simetría estimación de la moda bootstrap inferencia estadística

Citas

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