Question

Styles ANOVA One-Way Within-Subjects Design 1. A group of clinicians who are members of the U.S. military are concerned with the morale of troops serving in war regions. They hypothesize that the number of tours a soldier has served significantly affects morale. To test this hypothesis, they select a sample of eight soldiers who served three tours in war regions and ask them to rate their morale during each tour they served in. Lower ratings indicate lower morale. The table lists the hypothetical results of this study. Complete the F table and make a decision to reject or fail to reject the null hypothesis at the .05 significance level. 3rd 2d 1st 6 5 4 Hypotheses: 5 4 5 Fe/threshold: 7 6 3 6 7 7 5 7 6 7 6 6 7 7 7 6 7 7 MS df Source of Variation Between groups Between persons Within groups (error) Total

Answer 1

we have Answer: Ho Calue Hypothesis): Number of Tours a soldier has served no any significant affuts Morale. ie There is no any significant effect. H,: (Alternative Hypothesis): There is a significant ffect. A Tours et Lind 22 ret 6 S, E15. and 5 S2 = 74 Soldiers ord 7 S3 = 16 | S4 = 20 S : 13 Sc19 S7 =21 7 53:20 IT, = 1T2 T3 ITT = 143 44 +48 :46. 29 S.= total of all responses froni 8 soldiers T = Total of all respones through 3 Tours G =TT = Total of si or/ Tj ( Grand Total) Na 8x3224 R.S.S = { ut = hand Raw sum of share of all respones = (6) + (5) ²+ ....(7)² = 883 Cf (correction factors are =(1432 = 852.04 24 T.S.S (Total sum of sgnore) = R.S.S.-C.F = 883-852.04 = 30.96 Vot7 Ummy 7

Row sunof&gueres (soldiers) i.e Between soldiers fast S.S. R = Sitsat. + 3 (11o. of columns) 2603_852.00 3 -soft.tt 286 7.66-852.0 tolumn sum of squares (Touss) 15.62 Between Touss SS.C = 1773-6- -852.04 6821 MS 2273.66 -342ot 2.58 Error sum of square - Tosis - Rowss-cols.s = T.s.s.-SSR -SS c = 30.56 - 1562-.58 Има - 14.76 ss I do f Ims fore source of variation 8-)=8-1 S.SE Between groups (Touss) 1.58 2.082 lié wlumin's USSI =.077 Between persons 7.81 ftab iesoldiess i.e Row Rows 15.62 168-1) (6-1) 1.054 (2,7) within groups (Error) 14.76 10 MSSE Total 30.96 MSSE 082. Y- 7 C-123-1 22 IMSSR 186-1 23 Herre feal.077 and Fan (2,7) dt al = 077 and fundal de at 57. level Feal < Feb ( stsignificance = 4.74 Ә И, не » There is no ang significant effect of Touss.