The purpose of one-way ANOVA is to compare multiple means from the variations of the mean. The null hypothesis is Ho = 2 = = k and alternate is HA i Hj. We have the sample data in the table: Y1 Y2 2166 1568 2233 1882 2019 2279 2075 2131 2009 1793 2226 2154 2583 2010 2190 Manual calculation for one-way ANOVA (calculator is allowed) Let the treatment level a = 3, i.e. Y, y2, y3; repeated experiment j = 1,2,3,4,5 (n = 5). Calculate the total sum of squares SST: = where SST can be expressed as SST while SSE is the error sum of squares. Please calculate the treatment sum of a n SST = (Vij..) SSTreatments +SSE. SS Treatments is the treatment sum of squares squares SS Treatments: a SS Treatments = n(i. ..) Please calculate the error sum of squares SSE: an i=1 - SSE (Yij Ji.) Calculate the F-value: F = = i=1 j=1 SS Treatments/(a1) SSE/(N-a)