Question

18. The following data were obtained from an inde- pendent-measures study comparing three treatment conditions. Treatment 11 III a. Use a wheth 3 8 N=12 1 4 G= 48 amon the sa EX = 238 3 6 4 1 6 averag b. Calcu study. M 2 T= 8 T 24 SS = 4 M= 4 М- 6 T= 16 SS = 2 SS= 8 21. To create a. Calculate the sample variance for each of the three samples. b. Use an ANOVA with o = 05 to determine whether there are any significant differences among the three treatment means. sample me 20 but inc М- n = 19. For the preceding problem you should find that there 43

Answer 1

samples. Answers Given that (a) calculate the sample variance to each of the three The sample variance for each of the three samples is =4 for each of the three samples. The cample variance for the first Sample is. Vall - so Vell = 0.666667 sample variance for the second sample is. The Val2 - Social the Va2 = 1.333333 sample variance for the Vol 3 = Sos third sample is cs Scanned with val. 2 2.666667 CamScanner

b) steps: The null and stuntive hypothesis are Hoill, =lylz trecement means are different. Ho At least we will set one of the 2=0.05. Step 2 af between =k-1 = 3- dfwithin = N- -12-3 The critical blue of Foor 27 -4.256495 cke 3: SS tone = 5x²-a² 2310482 - T2 =238 - 2004 > 228–192 Sot? 46 ss between as 12 - at = (101468344 By 4–192 64 +16 +144-192 २२५-१२ 32 Scanned with CamScanner

ss within - 2+4 +8 Step u? df Tote - Nu = (2-) af between a dtwithin = 9 SS betwees Ms between = of between Mswithin a swithio dewithin Jo 1.1555556 Step 5 The Fatio is Ms betwen MS within 16 1.555556 = 10.28571 F step 6 4.256495 chliche S f-statistics Since the F-16.28571 > 10.2859 > FO.O5,2 we reject Ho Hence we conclude that at least one of the treatement Scanned vaith diffel. CamScanner = 2