Flächen unter der Normalverteilungskurve für verschiedene z-Werte

einseitig











zweiseitig









---
title: "z-Werte"
author: "Lukas Stammler"
date: "18 3 2021"
output:
  html_document:
    fig_height: 6
    fig_width: 6
    highlight: pygments
    theme: yeti
    code_download: true
---

```{r setup, include=FALSE}
knitr::opts_chunk$set(echo = FALSE)

library(tidyverse)
library(knitr)
```

```{r}
daten <- tibble(x = rnorm(10000, 0, 1))
```



# Flächen unter der Normalverteilungskurve für verschiedene z-Werte

## einseitig

```{r}
p0 <- pnorm(0)
daten %>% 
    ggplot(., aes(x = x)) +
    geom_area(stat = "function", fun = dnorm, 
              args = list(mean = mean(daten$x), sd = sd(daten$x)), 
              fill = "skyblue", alpha = .5, xlim = c(-4, 0)) +
    stat_function(fun = dnorm, 
                  args = list(mean = mean(daten$x), 
                              sd = sd(daten$x)),
                  color = "red", size = 1) +
    ggtitle(paste("Fläche für z = 0, p = ", p0)) +
    ylab("")
```
<br />
<br />

```{r}
p1 <- round(pnorm(-1), 3)
daten %>% 
    ggplot(., aes(x = x)) +
    geom_area(stat = "function", fun = dnorm, 
              args = list(mean = mean(daten$x), sd = sd(daten$x)), 
              fill = "skyblue", alpha = .5, xlim = c(-4, -1)) +
    stat_function(fun = dnorm, 
                  args = list(mean = mean(daten$x), 
                              sd = sd(daten$x)),
                  color = "red", size = 1) +
    ggtitle(paste("Fläche für z = -1, p = ", p1)) +
    ylab("")
```
<br />
<br />

```{r}
p196 <- round(pnorm(-1.96), 3)
daten %>% 
    ggplot(., aes(x = x)) +
    geom_area(stat = "function", fun = dnorm, 
              args = list(mean = mean(daten$x), sd = sd(daten$x)), 
              fill = "skyblue", alpha = .5, xlim = c(-4, -1.96)) +
    stat_function(fun = dnorm, 
                  args = list(mean = mean(daten$x), 
                              sd = sd(daten$x)),
                  color = "red", size = 1) +
    ggtitle(paste("Fläche für z = -1.96, p = ", p196)) +
    ylab("")
```
<br />
<br />

```{r}
p2 <- round(pnorm(-2), 3)
daten %>% 
    ggplot(., aes(x = x)) +
    geom_area(stat = "function", fun = dnorm, 
              args = list(mean = mean(daten$x), sd = sd(daten$x)), 
              fill = "skyblue", alpha = .5, xlim = c(-4, -2)) +
    stat_function(fun = dnorm, 
                  args = list(mean = mean(daten$x), 
                              sd = sd(daten$x)),
                  color = "red", size = 1) +
    ggtitle(paste("Fläche für z = -2, p = ", p2)) +
    ylab("")
```
<br />
<br />

```{r}
p3 <- round(pnorm(-3), 3)
daten %>% 
    ggplot(., aes(x = x)) +
    geom_area(stat = "function", fun = dnorm, 
              args = list(mean = mean(daten$x), sd = sd(daten$x)), 
              fill = "skyblue", alpha = .5, xlim = c(-4, -3)) +
    stat_function(fun = dnorm, 
                  args = list(mean = mean(daten$x), 
                              sd = sd(daten$x)),
                  color = "red", size = 1) +
    ggtitle(paste("Fläche für z = -3, p = ", p3)) +
    ylab("")
```
<br />
<br />

## zweiseitig


```{r} 
p0 <- 2 * pnorm(0)
daten %>% 
    ggplot(., aes(x = x)) +
    geom_area(stat = "function", fun = dnorm, 
              args = list(mean = mean(daten$x), sd = sd(daten$x)), 
              fill = "skyblue", alpha = .5, xlim = c(-4, 4)) +
    stat_function(fun = dnorm, 
                  args = list(mean = mean(daten$x), 
                              sd = sd(daten$x)),
                  color = "red", size = 1) +
    ggtitle(paste("Fläche zweiseitig für z = 0, p = ", p0)) +
    ylab("")
```
<br />
<br />

```{r}
p1 <- 2 * round(pnorm(-1), 3)
daten %>% 
    ggplot(., aes(x = x)) +
    geom_area(stat = "function", fun = dnorm, 
              args = list(mean = mean(daten$x), sd = sd(daten$x)), 
              fill = "skyblue", alpha = .5, xlim = c(-4, -1)) +
    geom_area(stat = "function", fun = dnorm, 
              args = list(mean = mean(daten$x), sd = sd(daten$x)), 
              fill = "skyblue", alpha = .5, xlim = c(1, 4)) +
    stat_function(fun = dnorm, 
                  args = list(mean = mean(daten$x), 
                              sd = sd(daten$x)),
                  color = "red", size = 1) +
    ggtitle(paste("Fläche zweiseitig für z = |1|, p = ", p1)) +
    ylab("")
```

```{r}
p196 <- 2 * round(pnorm(-1.96), 3)
daten %>% 
    ggplot(., aes(x = x)) +
    geom_area(stat = "function", fun = dnorm, 
              args = list(mean = mean(daten$x), sd = sd(daten$x)), 
              fill = "skyblue", alpha = .5, xlim = c(-4, -1.96)) +
    geom_area(stat = "function", fun = dnorm, 
              args = list(mean = mean(daten$x), sd = sd(daten$x)), 
              fill = "skyblue", alpha = .5, xlim = c(1.96, 4)) +
    stat_function(fun = dnorm, 
                  args = list(mean = mean(daten$x), 
                              sd = sd(daten$x)),
                  color = "red", size = 1) +
    ggtitle(paste("Fläche zweiseitig für z = |1.96|, p = ", p196)) +
    ylab("")
```
<br />
<br />

```{r}
p2 <- 2 * round(pnorm(-2), 3)
daten %>% 
    ggplot(., aes(x = x)) +
    geom_area(stat = "function", fun = dnorm, 
              args = list(mean = mean(daten$x), sd = sd(daten$x)), 
              fill = "skyblue", alpha = .5, xlim = c(-4, -2)) +
    geom_area(stat = "function", fun = dnorm, 
              args = list(mean = mean(daten$x), sd = sd(daten$x)), 
              fill = "skyblue", alpha = .5, xlim = c(2, 4)) +
    stat_function(fun = dnorm, 
                  args = list(mean = mean(daten$x), 
                              sd = sd(daten$x)),
                  color = "red", size = 1) +
    ggtitle(paste("Fläche zweiseitig für z = |2|, p = ", p2)) +
    ylab("")
```
<br />
<br />

```{r}
p3 <- 2 * round(pnorm(-3), 3)
daten %>% 
    ggplot(., aes(x = x)) +
    geom_area(stat = "function", fun = dnorm, 
              args = list(mean = mean(daten$x), sd = sd(daten$x)), 
              fill = "skyblue", alpha = .5, xlim = c(-4, -3)) +
    geom_area(stat = "function", fun = dnorm, 
              args = list(mean = mean(daten$x), sd = sd(daten$x)), 
              fill = "skyblue", alpha = .5, xlim = c(3, 4)) +
    stat_function(fun = dnorm, 
                  args = list(mean = mean(daten$x), 
                              sd = sd(daten$x)),
                  color = "red", size = 1) +
    ggtitle(paste("Fläche zweiseitig für z = |3|, p = ", p3)) +
    ylab("")
```
<br />
<br />


