I have found in a book ( Statistical Procedure in Agricultural Research by Gomen and Gomez), the authors used correction factor to estimate total sum of squares. I am interested to know what this correction factor means and why it is used in ANOVA analysis? Could anyone please explain this? Thanks in advance for your help.
Correction factor is defined / given by
Square of the gross total of observed values /Total number of observed values
The sum of squares (SS), used in ANOVA, is actually the sum of squares of the deviations of observed values from their mean. After algebraic simplification, the SS has been found to be the sum of squares minus the correction factor. Accordingly, the correction factor helps in computing the SS from the raw sum of squares in stead of computing the the sum of squares of the deviations of observed values from their mean.
@ Ajit kumar Roy,
You are totally correct. I have defined the correction factor from the basic concept of ANAOVA.
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