Page 278 - Area 9 - Relevant Document

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Source of Degrees of Sum of Mean of Tabular F
Variation Freedom Square Square 5% 1%

Treatment Trdf = Tr - TrSS TrMS
1

Error Edf = Tr ESS EMS
(r-1)

Total Tdf = n-1 TSS

C. Compute for the degrees of freedom (df) for each sources of variation
as follows:

Tdf = (t) (r) - 1, total degree of freedom

Trdf= t-1, treatment degree of freedom

Edf = t (r-1), error degree of freedom

Where :

t = number of treatments
r = number of replication

D. Calculate the correction factor (CF), total sum of squares (TSS),
treatment sum of squares ( TrSS) and error sum of squares (ESS)
using the following expressions:

CF = _G TSS = ∑x – CF Tr SS = ∑t - CF ESS = TSS-
2
2
2
TrSS
tr r

E. Calculate the mean square (MS) for each SV by dividing each SS by
their corresponding df.

F. Calculate the F value for testing the significance of treatment
difference as:

F computed = TrMS

EMS