# bcc: Beta Control Charts In bcc: Beta Control Charts

 bcc R Documentation

## Beta Control Charts

### Description

Creates and displays a Beta control chart using the specified data, sample sizes, and type. This is the main function for generating control charts in this package.

### Usage

``````bcc(data, sizes = NULL, type, title = NULL)
``````

### Arguments

 `data` A numeric vector of data values to be plotted on the control chart. `sizes` An optional numeric vector of sample sizes. This parameter is required for type 1 charts, which are designed for discrete data. `type` An integer representing the type of control chart. There are two possible types: `1` for discrete data (such as proportions or counts) and `2` for continuous data. `title` An optional string specifying the title of the plot.

### Details

The Beta Chart presents control limits based on the Beta probability distribution. It is used for monitoring fraction data from a Binomial distribution as a replacement for p-Charts. The Beta Chart has been applied in three real studies, demonstrating its effectiveness. Comparative analysis revealed that: (i) the Beta approximation to the Binomial distribution is more appropriate for values confined within the `[0, 1]` interval; and (ii) the proposed charts are more sensitive to the average run length (ARL) in both in-control and out-of-control process monitoring. Overall, the Beta Charts outperform the Shewhart control charts for monitoring fraction data.

### Value

A plot of the Beta control chart.

### Examples

``````# Example for type 1 chart with discrete data
data <- c(0.12, 0.18, 0.14, 0.28, 0.22)
sizes <- c(101, 98, 110, 105, 95)
bcc(data, sizes, type=1, title="Beta Control Chart for Discrete Data")

# Example for type 2 chart with continuous data
data <- c(0.59, 0.67, 0.61, 0.70, 0.59)
bcc(data, type=2, title="Beta Control Chart for Continuous Data")

# Example changing the title of the chart
data <- c(0.07, 0.13, 0.21, 0.25, 0.19)
sizes <- c(52, 49, 51, 53, 48)
bcc(data, sizes, type=1, title="Custom Title: Beta Control Chart for Discrete Data")

``````

bcc documentation built on June 22, 2024, 7:25 p.m.