Information on this topic may be found in the following references:
Applied Linear Regression Models (Kutner) section 2.7, page 63
Fundamental Concepts in the Design of Experiments (Hicks) chapter 15, page 403
Design and Analysis of Experiments (Montgomery) section 10.1, page 392
Statistics for Experimenters (Box Hunter Hunter) chapter 14, page 460
Online Resources
Arsham - Relationship between Regression Analysis, ANOVA, and Chi-square Test
Arsham - Regression Analysis, ANOVA, T-test, and Coefficient of Determination