Type 3 p-value
This is a
p-value for the
composite null hypothesis? that all levels of a
categorical? predictor have the same effect on the
outcome as the
reference category? does. Results in the p-value column of regression output are instead for individual, specific null hypotheses that the level in that row has the same effect as the reference category. [Need to check whether any other regression procedures use this term for other purposes, e.g., alternative calculation methods.] When the Type 3 p-value is small even though all the individual p-values are large, re-running the model with a different reference category may be more informative. The Type 3 p-value can also be >0.05 even when some of the individual p-values are <0.05; see
Limitations of Omnibus Tests? for further discussion.