PSYC 3000 Lecture Notes - Lecture 11: Factor Analysis

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2 Aug 2016
Department
Course
PSYC 3000
Mar 4
Another view of residual error
-if you reach into data and remove individual differences will make the data closer together.
-residual error is variation that we have no explanation for.
Mixed designs, 1 within and 1 between
-G1 and G2 go thorugh every level of B.
-B would be a within subjects variable because you can see the effects of B by following a particular
subjects across every level of B.
-the structural model outlays every reason why a data point divers from the grand mean
-because of level A, level B, interaction of A & B, between subjects error and within subjects error.
-between subjects means individual difference and within subjects is residual unexplained difference.
-if you have interaction wit within and between subjects, you test the interaction in the within part of
the table.
-error term from 2 way between subjects turns into Bxsubjects.
-Subjects is a new variable. When it interacts with treatment it creates BxSubjects
-
2 way between subjects
Source SS Df MS F
A
B
AxB
Error
Totat
2 way mixed factor analysis (1 between (A) and one within (B))
Source SS df MS F
Betwee
n
A A-1 SSa/dfa MSa/MSsubjects
AxSubjects SSsubjects/dfsubjects
Within B B-1 SSb/dfb MSb/MSaxb
AxB dfA x dfB SSaxb/dfaxb MSaxb/MSbxsubjects
BxSubjects Dfb x
dfsubjects
SSbxsubjects/dfbxsubjects
Total Total
2 way mixed factor analysis (1 between (A) and one within (B)) EXAMPLE
Source SS df MS F
Between A 40 5 8 8
Subjects 54 54 1
Within B 100 1 100 1
AxB 1000 5 200 2
BxSubjects 5400 54 100
Total Total 6594 119
A=6
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