{"id":13861,"date":"2025-07-15T13:34:47","date_gmt":"2025-07-15T13:34:47","guid":{"rendered":"https:\/\/functiontranslator.com\/inv-chicuad\/"},"modified":"2021-02-26T08:43:26","modified_gmt":"2021-02-26T08:43:26","slug":"chisq-inv","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/es\/chisq-inv\/","title":{"rendered":"INV.CHICUAD"},"content":{"rendered":"

Introducci\u00f3n a INV.CHICUAD en Excel y Google Sheets<\/h2>\n

La funci\u00f3n INV.CHICUAD (CHISQ.INV en ingl\u00e9s) en Microsoft Excel y Google Sheets permite calcular el inverso de la distribuci\u00f3n chi-cuadrado en funci\u00f3n de una probabilidad dada. Esta herramienta es fundamental en an\u00e1lisis estad\u00edsticos, especialmente en pruebas de hip\u00f3tesis y evaluaci\u00f3n de la varianza entre muestras.<\/p>\n

Sintaxis y Ejemplos de Uso<\/h2>\n

La sintaxis de la funci\u00f3n es: <\/p>\n

=INV.CHICUAD(probabilidad, grados_de_libertad)<\/code><\/pre>\n
Donde:<\/p>\n
    \n
  • probabilidad<\/strong> \u2013 Probabilidad asociada con la distribuci\u00f3n chi-cuadrado.<\/li>\n
  • grados_de_libertad<\/strong> \u2013 N\u00famero de grados de libertad en la distribuci\u00f3n.<\/li>\n<\/ul>\n
     Por ejemplo, para hallar el valor chi-cuadrado tal que el \u00e1rea a la derecha de la distribuci\u00f3n sea de 0.05 y con 10 grados de libertad, usar\u00edamos: <\/p>\n
    =INV.CHICUAD(0.05, 10)<\/code><\/pre>\n
     Este c\u00e1lculo nos brinda el valor cr\u00edtico del chi-cuadrado para los par\u00e1metros especificados.<\/p>\n
    Aplicaciones Pr\u00e1cticas de INV.CHICUAD<\/h2>\n
    Ejemplo 1: Prueba de Ajuste de Bondad<\/h3>\n
     Supongamos que deseamos realizar una prueba de ajuste de bondad para verificar si una muestra de datos se conforma a una distribuci\u00f3n esperada. Consideremos 4 categor\u00edas con las siguientes observaciones y frecuencias esperadas: <\/p>\n\n\n\n\n\n\n
    Categor\u00eda<\/th>\nObservaciones<\/th>\nFrecuencia Esperada<\/th>\n<\/tr>\n
    A<\/td>\n34<\/td>\n30<\/td>\n<\/tr>\n
    B<\/td>\n40<\/td>\n30<\/td>\n<\/tr>\n
    C<\/td>\n20<\/td>\n30<\/td>\n<\/tr>\n
    D<\/td>\n10<\/td>\n30<\/td>\n<\/tr>\n<\/table>\n
     Primero calculamos la estad\u00edstica chi-cuadrado: <\/p>\n
    \u03a7\u00b2 = \u03a3[(Observada-Esperada)\u00b2 \/ Esperada] = (34-30)\u00b2\/30 + (40-30)\u00b2\/30 + (20-30)\u00b2\/30 + (10-30)\u00b2\/30 = 1.87<\/code><\/pre>\n
     Para determinar si este valor es estad\u00edsticamente significativo, aplicamos INV.CHICUAD con un nivel de significancia de 0.05 y grados de libertad = 3 (n\u00famero de categor\u00edas – 1): <\/p>\n
    =INV.CHICUAD(0.95, 3)<\/code><\/pre>\n
     Si el valor calculado de chi-cuadrado es mayor que el obtenido con INV.CHICUAD, entonces rechazamos la hip\u00f3tesis nula, lo que indica que los datos no se ajustan a la distribuci\u00f3n esperada.<\/p>\n
    Ejemplo 2: An\u00e1lisis de Independencia<\/h3>\n
     Consideremos que estamos investigando si dos variables categ\u00f3ricas son independientes, con una tabla de contingencia de dos variables con un grado de libertad (1 fila y 1 columna de datos): <\/p>\n\n\n\n
    Frecuencia Observada<\/td>\n105<\/td>\n95<\/td>\n<\/tr>\n
    Frecuencia Esperada<\/td>\n100<\/td>\n100<\/td>\n<\/tr>\n<\/table>\n
     Calculamos la chi-cuadrada as\u00ed: <\/p>\n
    \u03a7\u00b2 = (105-100)\u00b2\/100 + (95-100)\u00b2\/100 = 0.5<\/code><\/pre>\n
     Para evaluar si estos resultados son significantes, usamos: <\/p>\n
    =INV.CHICUAD(0.95, 1)<\/code><\/pre>\n
     Si el valor de chi-cuadrado calculado es menor que el resultante de INV.CHICUAD, no existe evidencia suficiente para rechazar la hip\u00f3tesis de independencia.<\/p>\n
    Estos ejemplos destacan la versatilidad y la importancia cr\u00edtica de la funci\u00f3n INV.CHICUAD para el an\u00e1lisis estad\u00edstico en diversas aplicaciones dentro de Excel y Google Sheets.<\/p>\n","protected":false},"excerpt":{"rendered":"
    Devuelve la funci\u00f3n de densidad de probabilidad beta acumulativa<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[540],"tags":[],"class_list":["post-13861","post","type-post","status-publish","format-standard","hentry","category-estadistica"],"acf":[],"yoast_head":"\nFunci\u00f3n CHISQ.INV (INV.CHICUAD) en Excel \u2013 c\u00f3mo funciona, ejemplos y sintaxis<\/title>\n<meta name=\"description\" content=\"Explicaci\u00f3n breve de la funci\u00f3n CHISQ.INV (INV.CHICUAD) de Excel. 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