TECHNOLOGY OVERVIEW

Johnsons Distribution

The BIS.Net Team BIS.Net Team

The Johnson distribution, like the Box-Cox distribution is the resultant distribution after applying a transformation.to normalize non-normal data.

Johnsons Distribution

There are two main types of Johnson’s curves, The SU (unbounded) and SB (bounded) curves. The SU distribution is a 4-parameter family of distribution with the following transformation formula.

Once transformed it is possible to fit curves, compute capability indexes and other statistics

Johnson formula 1

With a probability density function of

Johnson formula 2

The SB distribution has the following transformation formula

Johnson formula 3

With a probability density function of

Johnson formula 4

Where

Johnson formula 6

The Johnson curve is applied when it is not possible to fit one of the currently known distributions. There is no guarantee that the normalization will work.

Download the Inferences APP, comprised of mainstream and machine-powered analytics for statistical analysis

Analytics as a Service (AaaS) for Quality

Drive quality improvement through actionable insights using analytics you can trust! Use up to 200 analytics tools downloadable through a suite of Apps!

FREE usage of the analytics Apps for quality improvement
  • Augmented with machine-powered smarts
  • Always updated with the latest tools and features
  • No licencing or fixed subscriptions - Pay ONLY for the analysis you run from 20 USD cents per analysis, billed monthly! Set a budget so you don't exceed!