Generate Random Walks

Usage

rw30()

Value

A tibble in long format with columns walk, x, and value, representing the random walks. Additionally, attributes num_walks, num_steps, mu, and sd are attached to the tibble.

Details

The function generates random walks using the normal distribution with a specified mean (mu) and standard deviation (sd). Each walk is generated independently and stored in a tibble. The resulting tibble is then pivoted into a long format for easier analysis.

Author

Steven P. Sanderson II, MPH

This function generates 30 random walks with 100 steps each and pivots the result into a long format tibble.

Examples

library(ggplot2)

# Generate random walks and print the result
set.seed(123)
rw30()
#> # A tibble: 3,000 × 3
#>    walk_number     x      y
#>    <fct>       <int>  <dbl>
#>  1 1               1  0    
#>  2 1               2 -0.560
#>  3 1               3 -0.791
#>  4 1               4  0.768
#>  5 1               5  0.839
#>  6 1               6  0.968
#>  7 1               7  2.68 
#>  8 1               8  3.14 
#>  9 1               9  1.88 
#> 10 1              10  1.19 
#> # ℹ 2,990 more rows

set.seed(123)
rw30() |>
 ggplot(aes(x = x, y = y, color = walk_number, group = walk_number)) +
 geom_line() +
 theme_minimal() +
 theme(legend.position = "none") +
 labs(
   title = "30 Random Walks",
   x = "Step",
   y = "Value",
   color = "Walk Number"
 )