Sunday 15 May 2016

Pareto Chart

While working my way through a text book on Business Statistics using Excel, I came across reference to a Pareto chart and needed to do a little investigating to find out what it was. Here is the definition from Wikipedia:

A Pareto chart, named after Vilfredo Pareto, is a type of chart that contains both bars and a line graph, where individual values are represented in descending order by bars, and the cumulative total is represented by the line. 

The left vertical axis is the frequency of occurrence, but it can alternatively represent cost or another important unit of measure. The right vertical axis is the cumulative percentage of the total number of occurrences, total cost, or total of the particular unit of measure. Because the reasons are in decreasing order, the cumulative function is a concave function. To take the example below, in order to lower the amount of late arrivals by 78%, it is sufficient to solve the first three issues 
The purpose of the Pareto chart is to highlight the most important among a (typically large) set of factors. In quality control, it often represents the most common sources of defects, the highest occurring type of defect, or the most frequent reasons for customer complaints, and so on. Wilkinson (2006) devised an algorithm for producing statistically based acceptance limits (similar to confidence intervals) for each bar in the Pareto chart.
These charts can be generated by simple spreadsheet programs, such as Apache OpenOffice/LibreOffice Calc and Microsoft Excel, visualisation tools such as Tableau Software, specialised statistical software tools, and online quality charts generators. The Pareto chart is one of the seven basic tools of quality control.
The next issue was to check how to generate a Pareto chart in Excel. I thought that there might be a magic button but you have to do it all yourself. Here's what I ended up with:


I did get some help in doing this and here is a link to a very useful website that outlines step-by-step how to create a Pareto chart. There are some excellent tutorials available on this site.

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