How to Solve for and Interpret z Scores – Introductory Statistics
mind 1) Computation What problem was the system designed to solve? 3 9 12.6 101 9.42 28.27 39.58...
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Transcript of mind 1) Computation What problem was the system designed to solve? 3 9 12.6 101 9.42 28.27 39.58...
mind
1) Computation
What problem was the system designed to solve?
3
9
12.6
101
9.42
28.27
39.58
317.14
2) Algorithm
What is the step-by-step procedure for solving the problem?
Archimedes (287 - 212 BCE)
3.140845 < π < 3.142858
2) Algorithm
What is the step-by-step procedure for solving the problem?
Wallis (1616-1703)
with 60 iterations: π = 3.1159
with 170 iterations: π = 3.1324
2) Algorithm
What is the step-by-step procedure for solving the problem?
π = # inside circle4 # total
http://polymer.bu.edu/java/java/montepi/MontePi.html
2) Algorithm
What is the step-by-step procedure for solving the problem?
with 60 iterations: π = 3.1159
with 170 iterations: π = 3.1324
with 171 iterations: π = ?
3) Implementation
How is the solution realized physically?
π = # inside circle4 # total
3) Implementation
How is the solution realized physically?
Neuroimaging is great at asking one particular question:
• Are two phenomena the result of a single cognitive process or more than one cognitive process?
• Association and dissociation (see Henson, Trends Cogn Sci, 2006; Henson, Quarterly J of Exp Psychol, 2005)
Neuroimaging is great at asking one particular question:
• Are two phenomena the result of a single cognitive process or more than one cognitive process?
visual imagery visual perception
Visual perception Visual imagery
Kosslyn et al. (1993) J Cog Neuro
• Association and dissociation (see Henson, Trends Cogn Sci, 2006; Henson, Quarterly J of Exp Psychol, 2005)
Neuroimaging is great at asking one particular question:
• Are two phenomena the result of a single cognitive process or more than one cognitive process?
(Buckner & Schacter, 1998, Neuron)
• Association and dissociation (see Henson, Trends Cogn Sci, 2006; Henson, Quarterly J of Exp Psychol, 2005)
implicit memory explicit memory
“I suppose it is tempting, if all you have is a hammer, to treat every problem as if it were a nail.”
– Abraham Maslow, The Psychology of Science (1966)
“I suppose it is tempting, if all you have is a hammer, to treat every problem as if it were a nail.”
– Abraham Maslow, The Psychology of Science (1966)
Neuroimaging is a problematic tool
• expensive
• technically challenging
• imposes extreme methodological constraints
– limited to one DV
– limited range of measurable behaviors
– one person at a time (no groups)
– requires dozens of within-subject trials
How has fMRI addressed social psychological questions?
1) Is social cognition = nonsocial cognition?
2) Default mode of (social) cognition
3) Neural resonance
4) Self-reference effect in memory
Distinctiveness of social cognition
“One key question is whether general cognitive processes involved in perception, language, memory, and attention are sufficient to explain social competence, or whether over and above these general processes, there are specific processes that are special to social interaction.” (Blakemore, Winston, & Frith, 2004, p.216)
1) Inferences
2) Semantic knowledge
3) Episodic memory
Distinctiveness of social cognition inferences
False Belief test
Distinctiveness of social cognition inferences
Where will Sally look for her ball?
False Belief test
Most three-year-oldsMost of us
Distinctiveness of social cognition inferences
Neuro
typic
al
Autist
ic
(IQ
= 8
2)
Down
synd
rom
e (IQ
= 6
2)0%
25%
50%
75%
100%
Distinctiveness of social cognition inferences
False belief
Jenny put her chocolate away in the cupboard. Then she went outside. Alan moved the chocolate from the cupboard into the fridge. Half an hour later, Jenny came back inside.
Jenny expects to find her cholocate in the cupboard fridge
False photograph
A photograph was taken of an apple hanging on a tree branch. The film took half an hour to develop. In the meantime, a strong wind blew the apple to the ground.
The developed photograph shows the apple on theground branch
Distinctiveness of social cognition inferences
0%
25%
50%
75%
100%
False belief False photograph
Percentage of Ss "passing"
Normal Autistic
Distinctiveness of social cognition inferences
Data courtesy of Rebecca Saxe
Distinctiveness of social cognition inferences
Beliefs > Photos
Distinctiveness of social cognition
“One key question is whether general cognitive processes involved in perception, language, memory, and attention are sufficient to explain social competence, or whether over and above these general processes, there are specific processes that are special to social interaction.” (Blakemore, Winston, & Frith, 2004, p.216)
1) Inferences
2) Semantic knowledge
3) Episodic memory
Distinctiveness of social cognition semantics
Distinctiveness of social cognition semantics
Left inferior frontal gyrus
Inferotemporal cortex
Distinctiveness of social cognition semantics
Be made of wood
Chairs Tables
Distinctiveness of social cognition semantics
Contreras, Banaji, & Mitchell (under review)
Fetch a ball
Cats Dogs
Distinctiveness of social cognition semantics
Contreras, Banaji, & Mitchell (under review)
Enjoy watching football
Men Women
Distinctiveness of social cognition semantics
Contreras, Banaji, & Mitchell (under review)
Paint their faces red
Cornell students Harvard students
Distinctiveness of social cognition semantics
Contreras, Banaji, & Mitchell (under review)
IT
IPL
IFG
Distinctiveness of social cognition semantics
nonsocial > social
Contreras, Banaji, & Mitchell (under review)
IT IPL IFG-1.00
-0.50
0.00
0.50
1.00
Social Nonsocial
Pa
ram
ete
r E
sti
ma
te
Distinctiveness of social cognition semantics
nonsocial > social
IT
IPL
IFG
Distinctiveness of social cognition semantics
social > nonsocialPCC dmPFC
vmPFC
PCC vmPFC dmPFC-1.00
-0.50
0.00
0.50
1.00
Social Nonsocial
Pa
ram
ete
r E
sti
ma
te
Distinctiveness of social cognition
“One key question is whether general cognitive processes involved in perception, language, memory, and attention are sufficient to explain social competence, or whether over and above these general processes, there are specific processes that are special to social interaction.” (Blakemore, Winston, & Frith, 2004, p.216)
1) Inferences
2) Semantic knowledge
3) Episodic memory
Processing information in a social manner produces qualitative changes
in episodic memory (Hastie & Kumar, 1979; Hamilton et al., 1980; Srull & Wyer, 1989)
Distinctiveness of social cognition episodic memory
(adapted from Hamilton et al., 1980)
He chose just the right tie to go with his shirt and slacks.
Form Impression
Mitchell, Macrae & Banaji (2004), J Neuroscience
Distinctiveness of social cognition episodic memory
He stepped on his girlfriend's feet while dancing.
Remember Order
Mitchell, Macrae & Banaji (2004), J Neuroscience
Distinctiveness of social cognition episodic memory
He stepped on his girlfriend's feet while dancing.
Distinctiveness of social cognition episodic memory
Form Impression
Remember Order
Form Impression
[statement 1]
[statement 2]
[statement 3]
[statement 4]
Remember Order
1) Distinct neural basis for impression
formation v. nonsocial orienting task?
Distinctiveness of social cognition episodic memory
Form Impression
Remember Order
Form Impression
Remember Order
[statement 1]
[statement 2]
[statement 3]
[statement 4]
1) Distinct neural basis for impression
formation v. nonsocial orienting task?
Distinctiveness of social cognition episodic memory
Impression formation > Sequencing
Impression formation
Sequencing
-0.10
0.00
0.10
0.20
0 2 4 6 8 10 12 14 16
Peristimulus time (s)
Percent signal change
Mitchell, Macrae & Banaji (2004), J Neuroscience
Distinctiveness of social cognition episodic memory
Form Impression
Remember Order
Form Impression
[statement 1]
[statement 2]
[statement 3]
[statement 4]
Remember Order
2) Distinct brain regions critical for
successful memory encoding?
Distinctiveness of social cognition episodic memory
Form Impression
Remember Order
Form Impression
Remember Order
[statement 1]
[statement 2]
[statement 3]
[statement 4]
hit
miss
2) Distinct brain regions critical for
successful memory encoding?
Distinctiveness of social cognition episodic memory
Impression formation: hits > misses
Impression hits
Impression misses
-0.10
0.00
0.10
0.20
0 2 4 6 8 10 12 14 16
Peristimulus time (s)
Percent signal change
Mitchell, Macrae & Banaji (2004), J Neuroscience
Distinctiveness of social cognition episodic memory
Impression formation: hits > misses
Mitchell, Macrae & Banaji (2004), J Neuroscience
Distinctiveness of social cognition episodic memory
Impression hits
Impression misses
Sequencing hits
Sequencing misses
-0.10
0.00
0.10
0.20
0 2 4 6 8 10 12 14 16
Peristimulus time (s)
Percent signal change
Form Impression
Remember Order
Form Impression
Remember Order
[statement 1]
[statement 2]
[statement 3]
[statement 4]
hit
miss
Distinctiveness of social cognition episodic memory
Sequencing hits
Sequencing misses
Sequencing: hits > misses
-0.10
-0.05
0.00
0.05
0.10
0 2 4 6 8 10 12 14 16
Peristimulus time (s)
Percent signal change
Mitchell, Macrae & Banaji (2004), J Neuroscience
Distinctiveness of social cognition episodic memory
Sequencing: hits > misses
Mitchell, Macrae & Banaji (2004), J Neuroscience
Distinctiveness of social cognition episodic memory
Impression hits
Impression misses
Sequencing hits
Sequencing misses
-0.10
-0.05
0.00
0.05
0.10
0 2 4 6 8 10 12 14 16
Peristimulus time (s)
Percent signal change
“One of the hallmarks of social cognition is the influence of detailed
models from cognitive psychology. These models are important
because they precisely describe mechanisms of learning and
thinking that apply in a wide variety of areas, including social
perception. Because these models are general and because
cognitive processes presumably influence social behavior heavily, it
makes sense to adapt cognitive theory to social settings” (Fiske &
Taylor, 1984, pp. 1-2).
Distinctiveness of social cognition
How has fMRI addressed social psychological questions?
1) Is social cognition = nonsocial cognition?
2) Default mode of (social) cognition
3) Neural resonance
4) Self-reference effect in memory
How has fMRI addressed social psychological questions?
1) Is social cognition = nonsocial cognition?
2) Default mode of (social) cognition
3) Neural resonance
4) Self-reference effect in memory
Heider & Simmel (1944)
Medial PFCTemporo-parietal junction
Posterior medial parietal
Default state
Temporo-parietal junction
Medial prefrontal cortex
Posterior medial parietal cortex
Default state
How has fMRI addressed social psychological questions?
1) Is social cognition = nonsocial cognition?
2) Default mode of (social) cognition
3) Neural resonance
4) Self-reference effect in memory
How has fMRI addressed social psychological questions?
1) Is social cognition = nonsocial cognition?
2) Default mode of (social) cognition
3) Neural resonance
4) Self-reference effect in memory
Wicker et al., (2003), Neuron
Your disgust ≈ my disgust
‘Neural resonance’
see Rizzolatti & Craighero (2004), Annual Rev Neurosci
Your goals ≈ my goals
‘Neural resonance’
Your pain ≈ my pain
Singer et al. (2006)
-1
0
1
2
Female Ss Male Ss
Activation in ACC
Fair playerUnfair player
‘Neural resonance’
How has fMRI addressed social psychological questions?
1) Is social cognition = nonsocial cognition?
2) Default mode of (social) cognition
3) Neural resonance
4) Self-reference effect in memory
How has fMRI addressed social psychological questions?
1) Is social cognition = nonsocial cognition?
2) Default mode of (social) cognition
3) Neural resonance
4) Self-reference effect in memory
Self Deep Shallow
Memory advantage for information processed in relation to the self (Rogers, Kuiper, & Kirker, 1977; Symons & Johnson, 1997)
Why?
• special mnemonic powers
(Rogers et al., 1977)
(Greenwald & Banaji, 1989)
• powerful but ordinary
Self-reference effect
Depth-of-Processing effect:
Self Deep Shallow
Memory advantage for information processed in relation to the self
Self-reference effect
BUSH+
talkativeSELF+
daring+
CASE+
politeSELF+
DEPENDABLE
2.5 sec
Kelley et al. (2002), J Cog Neuro
Self-reference effect
-0.1
0.0
0.1
0.2
-5 0 5 10 15 20
OtherSelfCase
L IFG
SELF + OTHER > CASE
Kelley et al. (2002), J Cog Neuro
Self-reference effect
-0.4
-0.3
-0.2
-0.1
0.0
0.1
-5 0 5 10 15 20
OtherSelfCase
Medial PFC
SELF > OTHER
Self-reference effect as distinct
Kelley et al. (2002), J Cog Neuro
Self-reference effect
How has fMRI addressed social psychological questions?
1) Is social cognition = nonsocial cognition?
2) Default mode of (social) cognition
3) Neural resonance
4) Self-reference effect in memory