Plotting probability plot by hand

AI Thread Summary
To plot a probability plot by hand, start by organizing your data set, which in this case reflects the warping of a long metal pipe. Use the observed values as the x-axis and calculate the rank-based z-scores for the y-axis to represent the theoretical quantiles. The process involves determining percentiles from your data, which helps in assessing normal distribution. A QQ plot can be created to visualize this relationship, allowing you to identify if the data aligns closely with a straight line, indicating normality. Understanding these concepts will enable you to manually create a probability plot without statistical software.
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Anyone knows how to plot a simple probability plot by hand (manually) without using statisical software?
 
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Can you give an example?
Because now your question is very general, and also very personal (some people will say they can, others won't).
 
Hi,

the example goes something like this:
Assuming a set of data is collected to show warping of a long metal pipe.

0.756 0.856 0.943 0.978 1.12 1.23 1.45 1.67 1.87

Plot a probability plot to ascertain if the data is of normal distribution.

I know how to use minitab to plot the probability plot and then check if it is
more or less a straight line or is there any out-lier.

But I would like to learn how to manually plot a probability plot.
Normally a graph plot will require 2 set of datas, 1 set for the x-axis and the other set for the Y-axis. But now that I have only 1 set of data, how to I use this particular set of data to generate the other set of data for the other axis?

Is there any standard parameters for the x-axis and y-axis?

The textbook says something about using percentile to calculate but I don't really understand what its trying to say... :(
 
I can see you are on the right track. What you are looking for is called qq plot. The way to tell if the data is normally distributed just by plotting their quantiles.
you have observed value as x values. you need rank based z score for the y axis.
http://www.stattucino.com/berrie/graphs.html
 
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