Central Limit Theorem & Shiny

• https://arseny.shinyapps.io/DDP_CourseProject/

• a simple demo of Central Limit Theorem in action

• it aims to illustrate that with increasing sample size the distribution of sample means approximates normal:

  • visually (histogram / QQ-plot)
  • formally (Shapiro-Wilk normality test)

    Shapiro-Wilk normality test

data:  x
W = 0.99651, p-value = 0.02531

• lower p-values indicate we should reject null hypothesis (i.e. it is unlikely that the distribution is normal given the observed vector of means)