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Nominal data
This data is categorical and grouped ( conducted a class survey on pets, you will likely get data on how many students own a pet or not and what types of pet they have)
Ordinal data
data in ranks ( collecting house points and ranking them in first second or third )
Wilcox on signed ranks test
A test of difference between two conditions when the data is at an ordinal level and using repeated measure
Mann Whitney U
Testing a difference between two conditions achieved at a ordinal level with independent groups