2+ IVs Factorial (between) Mixed (between & within)

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2+ IVs Factorial (between) Mixed (between & within) Group Differences: 2+ Independent Variables

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Group Differences: 2+ Independent Variables. 2+ IVs Factorial (between) Mixed (between & within). Main Effects. Imagine a study about eyewitness recall of crime. IV #1 = two levels (violent versus non-violent) An Independent t-test. - PowerPoint PPT Presentation

Transcript of 2+ IVs Factorial (between) Mixed (between & within)

Page 1: 2+ IVs   Factorial  (between)       Mixed  (between & within)

2+ IVs Factorial (between) Mixed (between & within)

Group Differences:2+ Independent Variables

Page 2: 2+ IVs   Factorial  (between)       Mixed  (between & within)

• Imagine a study about eyewitness recall of crime.• IV #1 = two levels (violent versus non-violent)

– An Independent t-test.

http://www.upa.pdx.edu/IOA/newsom/pa551/lectur12.htm

No Violence Violence

memory high low

Main EffectsMain Effects

Page 3: 2+ IVs   Factorial  (between)       Mixed  (between & within)

• Imagine a study about eyewitness recall of crime.• IV #1 = two levels (violent versus non-violent)

– An Independent t-test.

• IV #2 = two levels (training to remember, no training)

– Another independent t-test.No Training Training

memory low high

http://www.upa.pdx.edu/IOA/newsom/pa551/lectur12.htm

No Violence Violence

memory high low

Main EffectsMain Effects

Page 4: 2+ IVs   Factorial  (between)       Mixed  (between & within)

• Imagine a study about eyewitness recall of crime.• IV #1 = two levels (violent versus non-violent)

– An Independent t-test.

• IV #2 = two levels (training to remember, no training)

– Another independent t-test.No Training Training

memory low high

http://www.upa.pdx.edu/IOA/newsom/pa551/lectur12.htm

No Violence Violence

memory high low

No Training Training

No Violence 4 7

Violence 2 5

Main EffectsMain Effects

Page 5: 2+ IVs   Factorial  (between)       Mixed  (between & within)

• Imagine a study about eyewitness recall of crime.• IV #1 = two levels (violent versus non-violent)

– An Independent t-test.

• IV #2 = two levels (training to remember, no training)

– Another independent t-test.No Training Training

memory low high

http://www.upa.pdx.edu/IOA/newsom/pa551/lectur12.htm

No Violence Violence

memory high low

No Training Training

No Violence 4 7 5.5

Violence 2 5 3.5

Main EffectsMain Effects

Page 6: 2+ IVs   Factorial  (between)       Mixed  (between & within)

• Imagine a study about eyewitness recall of crime.• IV #1 = two levels (violent versus non-violent)

– An Independent t-test.

• IV #2 = two levels (training to remember, no training)

– Another independent t-test.No Training Training

memory low high

http://www.upa.pdx.edu/IOA/newsom/pa551/lectur12.htm

No Violence Violence

memory high low

No Training Training

No Violence 4 7

Violence 2 5

3 6

Main EffectsMain Effects

Page 7: 2+ IVs   Factorial  (between)       Mixed  (between & within)

• Imagine a study about eyewitness recall of crime.• IV #1 = two levels (violent versus non-violent)

– An Independent t-test.

• IV #2 = two levels (training to remember, no training)

– Another independent t-test.No Training Training

memory low high

http://www.upa.pdx.edu/IOA/newsom/pa551/lectur12.htm

No Violence Violence

memory high low

No Training Training

No Violence 4 7 5.5

Violence 2 5 3.5

3 6

Main EffectsMain Effects

Page 8: 2+ IVs   Factorial  (between)       Mixed  (between & within)

• Imagine a study about eyewitness recall of crime.• IV #1 = two levels (violent versus non-violent)

– An Independent t-test.

• IV #2 = two levels (training to remember, no training)

– Another independent t-test.No Training Training

memory low high

No Violence Violence

memory high low

No Training Training

No Violence 4 7 5.5

Violence 2 5 3.5

3 6

Main EffectsMain Effects

Page 9: 2+ IVs   Factorial  (between)       Mixed  (between & within)

• Imagine a study about eyewitness recall of crime.• IV #1 = two levels (violent versus non-violent)

– An Independent t-test.

• IV #2 = two levels (training to remember, no training)

– Another independent t-test.No Training Training

memory low high

No Violence Violence

memory high low

No Training Training

No Violence 4 7 5.5

Violence 2 5 3.5

3 6

InteractionInteraction

No Training Training

No Violence 4 11 7.5

Violence 2 5 3.5

3 8

Page 10: 2+ IVs   Factorial  (between)       Mixed  (between & within)

• Imagine a study about eyewitness recall of crime.• IV #1 = two levels (violent versus non-violent)

– An Independent t-test.

• IV #2 = two levels (training to remember, no training)

– Another independent t-test.No Training Training

memory low high

No Violence Violence

memory high low

InteractionInteraction

No Training Training

No Violence 4 11 7.5

Violence 2 5 3.5

3 8

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• Interactions are when the effect of two or more variables is not simply additive.

InteractionInteraction

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• Interactions are when the effect of two or more variables is not simply additive.

• Terminology:– Presence of number refers to variable

• 2 x 2 = 2 IVs. 2 x 3 = 2 IVs. 2 x 2 x 2 = 3 IVs– Content of number refers to levels within variable

• 2 x 3 = 2 levels within IV1, 3 levels within IV2

InteractionInteraction

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• Interactions are when the effect of two or more variables is not simply additive.

• Terminology:– Presence of number refers to variable

• 2 x 2 = 2 IVs. 2 x 3 = 2 IVs. 2 x 2 x 2 = 3 IVs– Content of number refers to levels within variable

• 2 x 3 = 2 levels within IV1, 3 levels within IV2

– Interaction (INT) = F-test across IV – Main Effect (ME) = F-test within IV– Simple Effect (SE) = pairwise between any two points

InteractionInteraction

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• Can have ME separate from INT

InteractionsInteractions

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• There are different levels of Interactions. – A “Two-Way” Interaction can occur between any two variables (A-B)

– A “Three-Way” Interaction can occur between any three variables (A-B-C)

– A “Four-Way” Interaction can occur between any four variables (A-B-C-D)

InteractionsInteractions

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• There are different levels of Interactions. – A “Two-Way” Interaction can occur between any two variables (A-B)

– A “Three-Way” Interaction can occur between any three variables (A-B-C)

– A “Four-Way” Interaction can occur between any four variables (A-B-C-D)

• If you have 2 variables, then possibility of: 1 Two-Way (AB)

InteractionsInteractions

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• There are different levels of Interactions. – A “Two-Way” Interaction can occur between any two variables (A-B)

– A “Three-Way” Interaction can occur between any three variables (A-B-C)

– A “Four-Way” Interaction can occur between any four variables (A-B-C-D)

• If you have 2 variables, then possibility of: 1 Two-Way (AB)

• If you have 3 variables, then possibility of: 1 Three-Way (ABC)

3 Two-Way (AB, AC, BC)

InteractionsInteractions

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• There are different levels of Interactions. – A “Two-Way” Interaction can occur between any two variables (A-B)

– A “Three-Way” Interaction can occur between any three variables (A-B-C)

– A “Four-Way” Interaction can occur between any four variables (A-B-C-D)

• If you have 2 variables, then possibility of: 1 Two-Way (AB)

• If you have 3 variables, then possibility of: 1 Three-Way (ABC)

3 Two-Way (AB, AC, BC)

• If you have 4 variables, then possibility of: 1 Four-Way (ABCD)

4 Three-Way (ABC, ABD, ACD, BCD)

6 Two-Way (AB, AC, AD, BC, BD, CD)

InteractionsInteractions

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• IV1 (sex: male, female)• IV2 (victim of crime: yes, no)• DV – errors1a

BetweenBetween

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• IV1 (sex: male, female) between• IV2 (pretest, posttest) within• DV – errors1a

MixedMixed