PSYC 2040 Lecture Notes - Situation Two, Effect Size, Repeated Measures Design

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Published on 12 Apr 2013
School
University of Guelph
Department
Psychology
Course
PSYC 2040
Professor
Split-Plot Analysis of Variance Part II:
Exploring the Interaction!
"
1)Interaction Overview!
2)Two types of situations with different error terms"
!
3)Situation 1: Comparing effect of the between-subjects factor at a particular level of
the within-subjects factor!
4)Situation 1: Denominator calculations!
5)Situation 1: Numerator calculations!
6)Situation 1: F-values and significance!
7)Situation 1: Effect size calculation!
8)Situation 1: Sample Results Paragraph!
9)Situation 2: Comparing effect of the within-subjects factor at a particular level of the
between-subjects factor!
10)Situation 2: Understanding the SPSS syntax!
11)Situation 2: Understanding SPSS Output!
12)Situation 2: Effect size calculation!
1
Split-Plot Analysis of Variance Part II:
Exploring the Interaction!
"
1)Interaction Overview!
2)Two types of situations with different error terms**"
!
3)Situation 1: Comparing effect of the between-subjects factor at a particular level of
the within-subjects factor!
4)Situation 1: Denominator calculations!
5)Situation 1: Numerator calculations!
6)Situation 1: F-values and significance!
7)Situation 1: Effect size calculation!
8)Situation 1: Sample Results Paragraph!
9)Situation 2: Comparing effect of the within-subjects factor at a particular level of the
between-subjects factor!
10)Situation 2: Understanding the SPSS syntax!
11)Situation 2: Understanding SPSS Output!
12)Situation 2: Effect size calculation!
2
Investigating a significant
2-way interaction
Split-Plot design
2-way interaction
The effect of 1 factor on the DV varies depending on the level
of the other factor
The simple main effects of 1 factor are different
at the various levels of the other
Simple Main Effect
The effect of a factor (e.g., audience) at a specific level of
another factor (e.g., males)
3
To understand an interaction, need to conduct simple main effect
analyses
1) check out the interaction cell means
2) which set of simple main effects makes more sense theoretically?
3) do the math
what we do in SPSS depends on which set of simple main effects
we want
4
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0
2
4
6
8
10
Mean number of nosepicks
0 1 2 3
Audience
Gender by Audience Interaction
Women
Men
5
Problem: The Error term for SME
depends upon the situation
2 Situations
1) Examining a Between-Subject
independent variable at a
specific level of a Within-
Subjects variable
2) Examining a Within-Subjects
variable at a specific level
of a Between-Subjects
independent variable
aud0 aud1 aud2 aud3
males 8.0 6.2 4.2 4.0
females 9.8 6.4 3.0 2.0
Audience
aud0 aud1 aud2 aud3
males 8.0 6.2 4.2 4.0
females 9.8 6.4 3.0 2.0
Audience
6
Split-Plot Analysis of Variance Part II:
Exploring the Interaction!
"
1)Interaction Overview!
2)Two types of situations with different error terms"
!
3)Situation 1: Comparing effect of the between-subjects factor at a particular level of
the within-subjects factor**!
4)Situation 1: Denominator calculations!
5)Situation 1: Numerator calculations!
6)Situation 1: F-values and significance!
7)Situation 1: Effect size calculation!
8)Situation 1: Sample Results Paragraph!
9)Situation 2: Comparing effect of the within-subjects factor at a particular level of the
between-subjects factor!
10)Situation 2: Understanding the SPSS syntax!
11)Situation 2: Understanding SPSS Output!
12)Situation 2: Effect size calculation!
7
Problem: The Error term for SME
depends upon the situation
aud0 aud1 aud2 aud3
males 8.0 6.2 4.2 4.0
females 9.8 6.4 3.0 2.0
Audience
aud0 aud1 aud2 aud3
males 8.0 6.2 4.2 4.0
females 9.8 6.4 3.0 2.0
Audience
2 Situations
1) Examining a Between-Subject
independent variable at a
specific level of a Within-
Subjects variable
2) Examining a Within-Subjects
variable at a specific level
of a Between-Subjects
independent variable
8
when interaction- you want to make a
graph and then discribe it
the the 2 dots the same or
diff- simple main effect
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What about gender
at the different levels of audience?
aud0 aud1 aud2 aud3
males 8.0 6.2 4.2 4.0
females 9.8 6.4 3.0 2.0
aud0 aud1 aud2 aud3
males 8.0 6.2 4.2 4.0
females 9.8 6.4 3.0 2.0
aud0 aud1 aud2 aud3
males 8.0 6.2 4.2 4.0
females 9.8 6.4 3.0 2.0
aud0 aud1 aud2 aud3
males 8.0 6.2 4.2 4.0
females 9.8 6.4 3.0 2.0
9
0
2
4
6
8
10
Mean number of nosepicks
0 1 2 3
Audience
Gender by Audience Interaction
Women
Men
Interested in: Effect of gender at the different levels of audience
10
aud0: F(?, ?) = ?? / ??
aud1: F(?, ?) = ?? / ??
aud2: F(?, ?) = ?? / ??
aud3: F(?, ?) = ?? / ??
aud0 aud1 aud2 aud3
males 8.0 6.2 4.2 4.0
females 9.8 6.4 3.0 2.0
Calculate
4 F-ratios
11
aud0 aud1 aud2 aud3
males 8.0 6.2 4.2 4.0
females 9.8 6.4 3.0 2.0
aud0: F(?, ?) = ?? / ??
aud1: F(?, ?) = ?? / ??
aud2: F(?, ?) = ?? / ??
aud3: F(?, ?) = ?? / ??
Calculate
4 F-ratios
12
males to females- need an F
value for each - do by hand
df for num and den& the actual
num and den
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