Psych 610 Handout #22, p. 1Prof. MooreSPECIAL TESTS FOR THREE (AND HIGHERWAY) DESIGNSI. All two-way tests and one-way tests discussed previously can be applied to collapsed (pooled)data from higher way designs.* Can run single df contrasts on marginal means* Can run single df contrasts on individual cell means* Can run two-way single df contrasts on pooled two-way matrices (i.e., CB, CP, BP)* Can run simple main effects on pooled two-way matrices* Can run partial interactions on pooled two-way matricesII. Can extend notions of two-way and partial interaction contrasts to 3 (and higher) way designs ifit makes sense.III. New test: simple interaction effectAsks whether there is an interaction between two factors, say CP, at a particular level of a thirdfactor, say B.Let’s compute SSCP@RIR =54125040000,650,214041002200@][22==+=RIRC58950020000,790,1120150020002300500@][2222==+++=RIRP000,63710000,370,61010001300....900100@][2222==+++=RIRCP125,496806300@][2==RIRTSSCP@RIR = [CP] – [C] – [P] + [T] = 2375MSCP@RIR = 2375/3 = 791.6752.183.52067.791==Fns.Conclude: For RIR’s, there is no interaction between period andcue. A-V is better than A at all levels by about the sameamounts.Handout #22, p. 2Now do the same for SSCP@PR500,4704039001900@][22=+=PRC000,54520190024001200300@][2222=+++=PRP000,6221013001700....500100@][2222=+++=PRCP500,420805800@][2==PRTSSCP@PR = [CP] – [C] – [P] + [T] = 27,000MSCP@PR = 27,000/3 = 9,000 F = 9,000/520.83 = 17.28 p < .05Conclusion: The difference between A and AV cues is not the same at all periods for PR’s.(We see visually, it begins small, increases to max at time period = 24, then drops off.)Note: SSCP@RIR + SSCP@PR = 2375 + 27,000 = 29,375SSCP + SSCPB = 21187,5 + 8187.5 =
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