Importance of calculating different p-values in statistics i.e. Linear, Quadratic and Cubic?

27 November 2023 1 2K Report

Why is it important to calculate different p-values in statistics i.e. Linear, Quadratic, and Cubic, and what does each type of p-values indicate?

Sal Mangiafico

Well, if you aren't interested in those results, they aren't important at all.
Basically, those are the results of contrasts, treating the independent variable as a factor variable, and then applying polynomial contrasts across the factor categories.
Obviously, the factor categories have to be ordered (and in the correct order). And, essentially, they are treated as equally spaced.
See: https://www.ndsu.edu/faculty/horsley/Polycnst.pdf , for more details.

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