Probabilistic Distribution Functions App

Dipanjan Sarkar

Data Engineer @DataWeave

Motivation

Audience

• Data Analysts & Scientists
• Mathematicians
• Statisticians

Description

It provides an interactive and easy way to view different probabilistic functions. You can view both discrete and continuous distribution functions and modify different parameters and see how the distributions change.

Significance

The visual component of distribution functions is often neglected in statistical books. Now, you have a chance to interact with the function parameters to see how distributions change based on them.

App Layout

How it works?

We get the chosen parameters from the user in the UI and then run server code similar to the segment below.

d<-rnorm(5000) # gets parameter options from left panel and forms the plot below
hist(d,main='Normal Distribution',xlab="Observations",ylab="Density",col="skyblue",cex.main=1.5,
    cex.axis=1.3,cex.lab=1.3,prob=T) # plot gets generated on the right tabbed panel
legend("topright", inset = 0.025,legend=bquote(atop(mu==.(round(mean(d))),
       sigma==.(round(sd(d))))), bty = "n", cex = 2, text.col = 'black', text.font = 2)

App features

The main features of the app are mentioned below.

• View interactive plots for different probabilistic distribution functions.
• Supports both discrete and continuous functions.
• Supports a wide array of probabilistic functions.
• Customizable function parameters
• Ability to view formulae, summary statistics and raw data along with plots.
• Download features for plots and datasets.