# What's the level of measurement and which test is allowed?

I have some difficulty assessing the level of measurement of these two variables...

When time spent reading a book has been measured with the categories 0 (=never), 0.5 (about 1 hour), 1.5 (about 2 hours), 2.5 (about 2 - 3 hours), 3.5 (more than 3 hours). I would say this is an ordinal / categorical measure, due the unequal differences in values!

The second variable is number of close friends: 0, 1, 2 or 3 (which indicates 3 or more). I would say this is also an example of a categorical measure!

Is it allowed to use the first variable as independent variable in a regression analysis?

Is it allowed to use the second variable as dependent variable in a regression analysis

• And what would the correct analysis be, a categorical analysis right? Commented Oct 3, 2017 at 12:25
• You can use ordered categorical variables in both situations but you do need to deal with each appropriately. You might gain more insight from the threads tagged ordered-logit and ordinal-data on this site. Commented Oct 3, 2017 at 12:42
• The notion of "which test is allowed" should be expunged from textbooks; Stevens' paper has some good points and some problematic issues -- &that's fine -- but what people have done with it since is a disaster - quite counterproductive to reasonable practice. Instead students should be learning how to start with a hypothesis that relates to their variables and learn how to work out how to test hypotheses that actually matter to them. Otherwise you end up nonsensically applying location tests when you're interested in spread because that's what's "allowed" according to some silly list. Commented Oct 3, 2017 at 23:12