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“Pruebas de hipótesis:
Ejemplos”
Dr. Jorge Alejandro Obando Bastidas
Grupos
Dependientes Independientes
1.Cuando tienen cualidades
semejantes. Común.
Diurno-Mixto: Mismo docente.
Una misma prueba.
2. Igual numero de integrantes
n1=n2.
3. compararlos. Función de los
tratamientos.
4. Prueba pre-post.
Enfermo: Tratamiento:
Recuperado.
Pruebas de hipótesis para 2 muestras: 2 grupos
1.Pueden tener cosas comunes.
2.El numero de integrantes
puede ser igual:
n1=n2 o n1 diferente a n2
3. Se comparan los grupos
4. no hay pre-post.
Hombres Mujeres
Edad
Personas recuperadas del covid 19 en
Colombia.
El contraste de hipótesis
que se tiene que
realizar es bilateral:
𝐻0 = 𝜇1 = 𝜇2
𝐻1 = 𝜇1 ≠ 𝜇2
Fijamos ∝= 𝑃 [error tipo I] = P
[Rechazar H0 I H0 siendo cierta]
Suponiendo normalidad
y que 𝜎 = 𝜎
𝑡0 =
ഥ
𝑦1 − ഥ
𝑦2
𝑠𝑝
1
𝑛1
+
1
𝑛2
2 2
1 2
Donde ഥ
𝑦1 e ഥ
𝑦2 son las medias
muestrales, n1 y n2 son el tamaño
de cada muestra.
Dr. Jorge Alejandro Obando Bastidas
Jorge.obandob@campusucc.edu.co

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Seman12 hipotesis2-grupos

  • 1. “Pruebas de hipótesis: Ejemplos” Dr. Jorge Alejandro Obando Bastidas
  • 2. Grupos Dependientes Independientes 1.Cuando tienen cualidades semejantes. Común. Diurno-Mixto: Mismo docente. Una misma prueba. 2. Igual numero de integrantes n1=n2. 3. compararlos. Función de los tratamientos. 4. Prueba pre-post. Enfermo: Tratamiento: Recuperado. Pruebas de hipótesis para 2 muestras: 2 grupos 1.Pueden tener cosas comunes. 2.El numero de integrantes puede ser igual: n1=n2 o n1 diferente a n2 3. Se comparan los grupos 4. no hay pre-post. Hombres Mujeres Edad Personas recuperadas del covid 19 en Colombia.
  • 3. El contraste de hipótesis que se tiene que realizar es bilateral: 𝐻0 = 𝜇1 = 𝜇2 𝐻1 = 𝜇1 ≠ 𝜇2 Fijamos ∝= 𝑃 [error tipo I] = P [Rechazar H0 I H0 siendo cierta] Suponiendo normalidad y que 𝜎 = 𝜎 𝑡0 = ഥ 𝑦1 − ഥ 𝑦2 𝑠𝑝 1 𝑛1 + 1 𝑛2 2 2 1 2 Donde ഥ 𝑦1 e ഥ 𝑦2 son las medias muestrales, n1 y n2 son el tamaño de cada muestra.
  • 4. Dr. Jorge Alejandro Obando Bastidas Jorge.obandob@campusucc.edu.co