Abstract: The article by Walker, H. W. Degrees of Freedom. Journal of Educational Psychology. 31(4) (1940) 253-269, was transcribed from the original by Chris Olsen, George Washington High School, Cedar Rapids, Iowa. Chris has made every attempt to reproduce the "look and feel" of the article as well as the article itself, and did not attempt in any way to update the symbols to more "modern" notation. Three typographical errors were found in the paper. These errors are noted in the paragraphs below. The article, except for pagination and placement of diagrams, is as it originally appears. The transcribed pages are not numbered to avoid confusion with pagination in the original article.