4.4 Article

Speaking Stata: In praise of trigonometric predictors

Journal

STATA JOURNAL
Volume 6, Issue 4, Pages 561-579

Publisher

STATA PRESS
DOI: 10.1177/1536867X0600600408

Keywords

st0116; circular regression; Fourier regression; harmonic regression; periodic regression; polynomial-trigonometric regression; trigonometric regression; sine; cosine

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Using sine and cosine terms as predictors in modeling periodic time series and other kinds of periodic responses is a long-established technique, but it is often overlooked in many courses or textbooks. Such trigonometric regression is straightforward in Stata through applications of existing commands. I give various examples using classic periodic datasets on the motion of the asteroid Pallas and the daily rhythm of birth numbers. I make a brief connection to polynomial-trigonometric regression.

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