Want to protect your cyber security and still get fast solutions? Ask a secure question today.Go Premium


Gates Gaudin Schumann Plot in Excel

Posted on 2011-10-21
Medium Priority
Last Modified: 2012-05-12
Good AFternoon,

I have been trying to figure out how to perform the Gates-Gaudin-Schumann Plot using Excel, but am missing something, as usual.  The articles on the subject use different formulas for obtaining the slope m for , y=mx+b, as well as the constant b, and I can't reconcile the results.

The distribution modulus should be around 200-ish, but am obtaining decimal results for this value?

The Excel file is attached for your convenience.

I appreciate any guidance you can provide,

Thank you,


Question by:aasikolo
  • 2
  • 2
LVL 81

Accepted Solution

byundt earned 2000 total points
ID: 37008874
I think you need to throw out three points: 0, 424 & 600 micron.

Author Closing Comment

ID: 37009799
Thanks, byundt,

Your answer raises some interesting questions.  The GGS plot is the least squares linear regression of the log base 10 of the cumulative percentages over the log base 10 of the mesh sizes, used for determining particle size distributions.  You have a better fit using your method, however.

I'm still looking to reconcile the linear slope calculations and the distribution moodulus k if you have any ideas.

Thanks again.
LVL 81

Expert Comment

ID: 37009966
I believe the approach I used is equivalent to the GGS plot.

Whether you use log base 10 or log base e doesn't matter  because log base 10 of x = ln(x)/ln(10). When you calculate the slope, the ln(10) term appears in numerator and denominator and cancels out.

The power law correlation results in a straight line on log-log paper. It is exactly the same as the linear fit of log y versus log x.

I posted the power law approach because it uses native Excel features rather than the more laborious method I found on the web for GGS plots.

My first step was to plot the data on a log log chart. Neglecting the point at 0 micron mesh opening (because log of 0 is undefined), I noticed that the last two deviated from the straight line--so I deleted them from the first series and put them in a second series. This is a judgement call, and you could have alternatively decided to eliminate the last three points.

My day job is that of a process engineer, so sieve analysis is something I have actually done a few times.


Author Comment

ID: 37010931
Thanks for your insight.  This makes the job a whole lot easier.

Thanks again,



Featured Post

Free Tool: Subnet Calculator

The subnet calculator helps you design networks by taking an IP address and network mask and returning information such as network, broadcast address, and host range.

One of a set of tools we're offering as a way of saying thank you for being a part of the community.

Question has a verified solution.

If you are experiencing a similar issue, please ask a related question

Freeze panes is an option within all variants of Excel to enable parts of a sheet to remain stationary when the cursor is in another part of the sheet. This is a very useful feature which is overlooked or under used.
Access developers frequently have requirements to interact with Excel (import from or output to) in their applications.  You might be able to accomplish this with the TransferSpreadsheet and OutputTo methods, but in this series of articles I will di…
This Micro Tutorial demonstrate the bugs in Microsoft Excel for Mac with Pivot Charts.
This Micro Tutorial will demonstrate the scrolling table in Microsoft Excel using the INDEX function.

571 members asked questions and received personalized solutions in the past 7 days.

Join the community of 500,000 technology professionals and ask your questions.

Join & Ask a Question