Chapter 14
Computational Formulas for
One-Way Analysis of Variance

 I. Hypotheses to be tested.....(Worked Problem) 

 II. Compute Degrees of Freedom

  A. Degrees of Freedom Total. . . . dftotal

  dftotal = (total number of scores) -1 = Ntotal - 1

  B. Degrees of Freedom Between Groups. . . . dfbg

  dfbg = (number of groups) - 1 = k - 1

  C. Degrees of Freedom Within Groups. . . . dfwg

  dfwg = (n1 -1) + (n2 - 1) + • • • + (nk -1)

 III. Compute Sums of Squares Total. . . . SStotal

 IV. Compute Sums of Squares Between Groups. . . . Ssbg

 V. Compute Sums of Squares Within Groups. . . . SSwg

or

 

 VI. Compute Mean Squares

 VII. F Ratio

 VIII. Source Table

Copyright © 1999, 2004 by Mark W. Vernoy