The following list offers, for a few specific statistical methods, a list of assumptions and related diagnostic tests that could be used to check the validity of the assumptions. Alternative methods are also suggested for when a model assumption is violated.
This list is not intended to be comprehensive. Similar information is offered on other pages on this site that discuss specific statistical methods.
Assumptions
Diagnostics
Normal probability plot (graphical)
Alternative Method
Non-normal Ppk
Process data is normally distributed
Shapiro-Wilks test (quantitative) or equivalent
Nonparametric tolerance interval