Created
November 9, 2020 17:15
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| library(tidyverse) | |
| theme_set(theme_classic()) | |
| plot_normal <- function(mean = 0, sd = 1, xmin = -3, xmax = 3) { | |
| tibble(x = seq(xmin, xmax, length.out = 1000), | |
| d = dnorm(x, mean = mean, sd = sd)) %>% | |
| ggplot(aes(x = x, y = d)) + geom_line() + | |
| geom_segment(x = mean, | |
| xend = mean, | |
| y = 0, | |
| yend = dnorm(mean, mean, sd), colour = 'grey') + | |
| geom_segment(x = mean, | |
| xend = mean + sd, | |
| y = dnorm(mean, mean, sd)/2, | |
| yend = dnorm(mean, mean, sd)/2, colour = 'grey') | |
| } | |
| normal_percentiles <- function(mean = 0, sd = 1){ | |
| c(`0.005` = qnorm(0.005, mean = mean, sd = sd), | |
| `0.025` = qnorm(0.025, mean = mean, sd = sd), | |
| `0.25` = qnorm(0.25, mean = mean, sd = sd), | |
| `0.5` = qnorm(0.5, mean = mean, sd = sd), | |
| `0.75` = qnorm(0.75, mean = mean, sd = sd), | |
| `0.975` = qnorm(0.975, mean = mean, sd = sd), | |
| `0.995` = qnorm(0.995, mean = mean, sd = sd)) | |
| } | |
| plot_normal_sample <- function(n = 1000, mean = 0, sd = 1, bins = 10){ | |
| tibble(x = rnorm(n, mean, sd)) %>% | |
| ggplot(aes(x = x)) + geom_histogram(bins = bins, colour = 'white') | |
| } | |
| plot_repeat_normal_samples <- function(N = 1000, n = 10, mean = 0, sd = 1){ | |
| df <- map(seq(N), | |
| ~rnorm(n, mean = mean, sd = sd) %>% | |
| enframe() %>% | |
| summarize(mean = mean(value), stdev = sd(value)) | |
| ) %>% bind_rows() %>% | |
| rownames_to_column(var = 'id') %>% | |
| mutate(id = as.numeric(id)) | |
| ggplot(df, | |
| aes(x = id, y = mean)) + | |
| geom_point() + | |
| geom_hline(yintercept = mean, colour = 'red') + | |
| ylim(mean - sd * 2, mean + sd * 2) | |
| } | |
| hist_repeat_normal_samples <- function(N = 1000, n = 10, mean = 0, sd = 1, bins = 25){ | |
| df <- map(seq(N), | |
| ~rnorm(n, mean = mean, sd = sd) %>% | |
| enframe() %>% | |
| summarize(mean = mean(value), stdev = sd(value)) | |
| ) %>% bind_rows() %>% | |
| rownames_to_column(var = 'id') %>% | |
| mutate(id = as.numeric(id)) | |
| ggplot(df, | |
| aes(x = mean)) + | |
| geom_histogram(bins = bins, colour = 'white') | |
| } |
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