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Apuntes Estadística Introduccion a la Probabilidad y Estadistica, ISBN: 9786075198767 $3.74
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Apuntes Estadística Introduccion a la Probabilidad y Estadistica, ISBN: 9786075198767
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  • Course
  • Estadística
  • Institution
  • Universidad De Cádiz
  • Book
  • Introduccion a la Probabilidad Y Estadistica

Resumen/formulario de los principales temas que se dan en los primeros cursos de carreras que contengan asignaturas de estadística.

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Document information

  • May 12, 2021
  • 5
  • 2020/2021
  • Class notes
  • Manuel
  • All classes

Subjects

  • estadística
  • probabilidad
  • inferencia estadistica
  • contrastes de hipotesis
  • inferencia parametrica
  • estadistica descriptva univariante
  • estadistica descriptiva bivariante

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Formulario
Tema 2: Estadística descriptiva bivariante
Tabla de contingencia o distribución conjunta




Ejemplo:
Tabla de contingencia de frecuencias absolutas




Para obtener la frecuencia relativa de cada par:
𝑛𝑖𝑗
𝑓𝑖𝑗 =
𝑛
Con esto se verifica que:
𝑟 𝑠

∑ ∑ 𝑓𝑖𝑗 = 1
𝑖=1 𝑗=1

, Distribución condicionada
Se llama distribución condicionada a la distribución de una
variable en función de un valor fijo de la otra
Ejemplos: Distribución del mero en función del país, distribución
del pescado en España…
Frecuencias condicionadas
𝑛𝑖𝑗 𝑛𝑖𝑗
1) 𝑓𝑖|𝑗 = 2) 𝑓𝑗|𝑖 =
𝑛∙𝑗 𝑛𝑖∙
Se leería tal que:
1 → Frecuencia en i de la variable sabiendo que j=s
2 → Frecuencia en j de la variable sabiendo que i=r
Independencia de las variables X e Y
Se dice que X e Y son independientes si TODOS los productos de
las frecuencias marginales (𝑓𝑖∙ 𝑦 𝑓∙𝑗 ) coinciden con las frecuencias
condicionadas. Es decir:

𝑓𝑖∙ × 𝑓∙𝑗 = 𝑓𝑖𝑗
Ejemplo:




→ Si 0,3 x 0,54 = 0,14 … 0,3 x 0,46 = 0,2 : Las variables son
independientes.

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