Question

9.1 Suppose that you wish to compare the means of six samples, each of which contains ten observations. Insert in an ANOVA table the sources of variation and their respective degrees of freedom. The values of Total SS and SSE for the experiment in Exercise 9.1 are Total SS SSE-16.2 9.2 21.4 and

Answer 1

9.2. Sotuton c) we know that Sourceof as Irettnent S Error 54 16.2 Total 5 at, louo, Calcwate, SsT -Total Ss - SSE of5 MSE- SSE 6.2 54 o-f :3-4円 MSEO 3 There-fore, the anaus of varfance table given pt. Treatiments5 5,2 104 34 Ervor 5416-2 0.3 Tota 21 -Atenative hyPothests tAt east one o-f-the mean s oiffeer rom olhei we have, msE O 3,

we know that The test Stal%Ac's F-MST-log MSE O 3 3,47. and this test statßstic has an Fofstribulion 2.39 clegrees of -freedom te, F(oos.5s,) C) Re ection Regfen using the cftfcas value approach cafth a o-os twe can refect to : 2.39 since, Fcol 5s) The observed value, F 34, exceeds the Crt tical value, So uwe refect Ho There-fore, we Conclude that,here Ps Suff ピerrl evidence to Indfcate-thot atleast dne of-he s?x -treaiment means s offesent from at least one of.the other d) Yes The data Provade sufffefert, Chaence to Concluse thai at least one of the rom -he others