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What test do I use for Likert scale data?

It depends on whether you are analyzing single items or a summed multi-item scale. Single Likert items are ordinal and usually call for non-parametric tests. A scale summed across several items is commonly treated as continuous, which is widely accepted but is a choice you should state and justify rather than make silently.

This comes up on Choosing the Right Statistical Test, where it is answered in the context of the work itself.

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