Question

Assume that Data Set C depicts scores for 30 individuals who participated in a two-way independent groups design. Analyze the data using a two-way ANOVA and complete an ANOVA table reporting the relevant DD, df, MS, and Fs. Make sure to also report each of your critical values and indicate whether you would reject each of your three null hypotheses (i.e., main effect of A, main effect of B, interaction of A x B). Use a two-tailed alpha of .05 to make your decision. (25 points).

Data Set C Variable B Variable A Group 1 Group 3 Group 2 10 13 15 12 15 19 14 17 20 Group 1 18 22 25 19 17 16 15 18 26 17 19 30 Group 2 19 22 31 23 27 36 20 21 29

PLEASE NO EXCEL! THANK YOU! :)

Answer 1

ERAMES FAGE NO CATE example Df too Factor ALat a 2 The Factos C Fartos A Thy3 there q e ab differeat of deteyeat com binatyoo Sith com bioatlon each There e S peplicates variatle A GToep 3 GITOup1 13 1S 10 I5 12 Gtroup 1 2.0 14 2 2 25 19 meanti) 16 8 16.6 19.6 14 2 IS 26 3 0 13 Gtsoup 2 2.2 81 27 36 2.3 20 21 2g 30.4 18.8 21.4 23.5 Meoncyij 20-166 19 25 M Ct) EHci) we have to colculate sum of Sqes NOE degrees of fseedo n Cdf) For and intesa ction het Factar A&B leuels

BRAM-SH) PAGE NO DATE: Fosmula EOs calclation af SScwithin) i's YijKiselements io the groups 1ciDiS meaa of coa bioation S SSwithio 1ijk-) C1o -14.232 C12-14-2 ) (14-14-2)t(18-14 C17-14)2 t1316 6) (15-16.6 )c17 -I6.6) + (22-16 6 )2+ C16-16 6)2 t CIS-19- 6 + CI9-196)2 + (20 -146)2 + (25-19-y t(19-1q6)2 +Cir-18.8)2+ (17-18-8 J2 t C19-18.2 + +C18-21.48)2 +(23882 t C22B) (26-30.4)2+ (30-30.4)2 ( 36-30 42 +2.9-30 4)2 ( 2 3-18 8 + C20-18. J2 + C 19- 2 C 21-21 2 +C31-39 42 17-64 + 4-84t o 04 +14 44 + 7-84 + 12-96 +2-56 + DI6+ 2.9 16 + O 36 + 29 16+o3 + 0.16 t 21.16 to.36 I7.64+ 144 3.24+ 0 04 + + 14.44 t 0 .36+ 31 36 0 16 S76 + 11-56+ 81.36 t 1 96 o.36+ O16 + 19.36 280.4 cal culate the dE(within) Fcwithiol (r Carth= (-1D 23 44 2 3= 24 280.4-1- 6833 SScwithi) Fcwithin) Ms Cwithi)= 24

(ERAMLSH FAGE NO DATE Calculate SSe dfA od MSA YCDiS mean of A to tal me.o SSA Ti )2 二S + 3「 C16.8-2016)2+(23-53-20.16)2 te6 FED 1 2A 339 697S dFA 0-1 こ2-1こ」 MSAそ BD A SSA d FA a39 6975 339.6975 Cal culate SSA FB Mse Yiis mean of A. Beae $2 e $SA- Eiars 2016)+(19- +C2520-16) f9 20 16 )2 98 te 381-668 b-1 こ 3-1こ2 MSB- SSB 381 666 190.834

RAME D PAGE NO DATE IN Calculate. SS ciotesactHon) dfAB MSAB 13 eos of CombinaHon Yiis Bea3 Of A rmean SSAB Li-i-Li L2 C14.2-16 8 -16.5t 20.166 62 +C16.6-16 8-19+ 2o16662 + C19 6-16 -25tO1666 + C 18 8-23 S33-16. +20.16 66)2 + C21 4-23 533-19 + 20-16662 23 5 -25 +20.1666 +030 4- 2 672 dEAB C2-1C3-1 2 SSAB dFAB MSAB 62 072- 31.030 F teat cal calate MSA M5with) 39-693S 48 29 0354 NtcdEAdE 339.6975 11 633 NF 24 4.259+

BRA SH PAGE NO CATE 190 834 1168 83 16 8339 MSB MSwithin Ha FfAFB dFaithinl 2F(2124.0r -3.4028 MSABioteraction) MSCaithi0) 31 036 I1-6833 2.6T64 FrdfAR dEithin) a NFr 2124),0.05 3-4029