shiny_dnorm {ABACUS}

Shiny App to Explore Properties of the Normal Distribution

Description

An interactive Shiny app to demonstrate properties of the Normal distribution.

Usage

shiny_dnorm()

Details

The interactive Shiny app demonstrates the properties of Normal distribution. The app considers parameters (mean and standard deviation) of the Normal distribution and captures its properties using different graphical outputs. The user changes the population parameter values, sample characteristics, distribution function and simulation features and explores the influence of these changes on the hypothesis testing.

The left panel includes the user inputs for Simulation Features, Population Parameters, Sample Characteristics, and Distribution Function. To use the app at first instance, just click the Update button. To alter the input values, edit the text box or move the point on the slider and explore the changes in different tabs (see below).

To obtain identical outcomes in a separate run of the app, set a common seed value at the bottom of the left panel and click Update. All subsequent updates will produce identical results provided other inputs are identical. The seed value is ignored when the option check the box to update instantly is selected.

Value

The outcomes are presented in several tabs.

Sample

contains the histogram of sampling units randomly drawn from the given population. Increasing the sample size and the number of bins creates the shape of the Normal distribution. It also creates the normal density plot based on empirical data and theoretical normal distribution given the parameter values

Distribution

contains the plot for the probability density function of the Normal distribution with given parameter values. The user can also explore centring and scaling effect on the probability density function.

Probability & Quantile

contains the plots for the probability density function and cumulative probability density function. The user can explore the relationship between the cumulative probability and quantile corresponding to tails of the distribution.

Note

https://shiny.abdn.ac.uk/Stats/apps/

Author(s)

Mintu Nath

See Also

Function in base R for normal distribution including dnorm, pnorm, qnorm, rnorm.

Function in base R for normal distribution, including dnorm, pnorm, qnorm, rnorm

Examples

if(interactive()){
    library(ggplot2)
    library(shiny)
    library(ABACUS)
    # Run shiny app
    shiny_dnorm()
}