NP chart with variable sample sizes: what is JMP doing?
Aug 19, 2013 3:30 PM(2455 views)
Both the JMP documentation and other references suggest an NP control chart of the number of defective units per sample should have a constant sample size. If I have a variable sample size, I should use a P chart of the proportion defective.
However, if I create an NP chart with a variable sample size, JMP creates a control chart with varying control limits and doesn't chastize me, at least not where I can see.
For example, starting from the Washers sample data set, I add a column titled "Lot Varies" with initial values random, normal distribution, mean = 400, standard deviation = 100, no decimal places. Then I launch Analyze >> Quality & Process >> Control Chart >> NP. In the launch dialog, # Defective is assigned to Process, Lot is assigned to Sample Label, and Lot Varies is assigned to Sample Size. JMP creates a perfectly OK-looking control chart.
Looking at the y-axis, it appears that the units are still in number of defective units, so JMP hasn't decided to develop a P chart instead just because I gave it a variable sample size. But JMP commonly makes reasonable assumptions about what to do based on the data supplied. What is JMP doing here?