Simulation of Within and Between Variation for Specification Setting

[#1]

Suppose you characterized the variation in the weight of tablets from a new process and then wanted to use that work to estimate the variation in weight that could be expected in a multi-tablet package.

One way to get the multi-tablet estimate is to simulate a large number of tablets with a specified mean and sigma, using a normal distribution. Then divide the individual tablets into a large number of subgroups, sum the weights and then look at the variation in the subgroupScreen Shot 2019-05-21 at 8.28.12 AM.png

between and within variation.jsl

[ParsaKarthik]

Hi, kindly explain more on this. How do we do simulation using JMP?

[ParsaKarthik]

@Byron_JMP .. please help

[Byron_JMP]

@ParsaKarthik 

The most basic simulations begin with a simple formula.   For example, Random Normal(10,1).  Which returns numbers from a normal distribution with a mean of 10 and a standard deviation of 1.  

The next step is to determine how many draws to simulate, and that is just a matter of adding rows to the data table. (from the "rows" tab, pick add rows. )  Some number between 5,000 and 5,000,000 will probably work out well. (its just that 5 million is a little slower.)

JMP has a pretty good library of distribution functions to choose from.

In this article I explain how to use another tool in JMP to do the same thing using the profiler in some ways it is a little more complex, but in others it makes the simulation really easy to set up.  

https://community.jmp.com/t5/Byron-Wingerd-s-Blog/Simulating-Multi-Step-Processes-and-the-Propagatio...

[ParsaKarthik]

@Byron_JMP .. Thank you!