291uuuuuAnalysis of Variance (ANOVA)ANOVA tests the hypothesis that when there are multiple samples, the means ofthe populations of the samples are all equal.M1MeF =SSFdfMS =SSeEdfMSe =SS = Σn i (oi – o)2i=1kSSe = Σ (ni – 1)xi σn–12i=1kFdf = k – 1Edf = Σ (ni – 1)i=1kPerform the following key operation from the statistical data list.3(TEST)5(ANOV)The following is the meaning of each item in the case of list data specification.How Many ...... number of samplesList1 ................ list whose contents you want to use as sample 1 dataList2 ................ list whose contents you want to use as sample 2 dataExecute .......... executes a calculationA value from 2 through 6 can be specified in the How Many line, so up to sixsamples can be used.Example To perform one-way ANOVA (analysis of variance) whenthree lists of data are inputFor this example, we will perform analysis of variance for thedata List1 = {6, 7, 8, 6, 7}, List2 = {0, 3, 4, 3, 5, 4, 7} andList3 = {4, 5, 4, 6, 6, 7}.Tests 18 - 6k : number of populationsoi : mean of each listx iσn-1 : standard deviation of eachlistni : size of each listo : mean of all lists