Appendix C: Calculation Formulas for Analysis of Variance (Independent Sampling)
CMSS(Total)SSTSSEMSTMSEF===========Correction for mean(Total of all observations)2Total number of observations=(Σyi)2nTotal sum of squares(Sum of squares of all observations)−CM=Σy2i−CMSum of squares for treatments⎛⎝⎜Sum of squares of treatment totals witheach square divided by the number ofobservations for that treatment⎞⎠⎟−CMT21n1+T22n2+⋯+T2knk−CMSum of squares for error=SS(Total)−SSTMean square for treatments=SSTk−1Mean square for error=SSEn−kTest statistic=MSTMSE
where
nkTi===Total number of observationsNumber of treatmentsTotal for treatmenti(i=1,2,…,k)