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Virtues and vices of causal modelling
A primer for the next generation of scientists
Federica Russo
Philosophy | Humanities | Amsterdam
russofederica.wordpress.com | @federicarusso
Overview
Psychological phenomena
What is it that we want to model?
Modelling psychological phenomena
What is a causal model? How does it work?
Caveats, pros & cons
What’s good (or not so good) about causal models?
2
PSYCHOLOGICAL PHENOMENA
3
4
MODELLING
PSYCHOLOGICAL PHENOMENA
The quantitative approach
5
Causal models
Structural equation models, covariance structure models,
contingency tables, multilevel models, regression models,
Bayesian networks, potential outcome models, quasi-
experimental models, spatial models …
Quantitative models: statistical models
6
Causal modelling has a long tradition
Staunch causalists
Quetelet, Durkheim, Wright …, Blalock, Duncan, …
Make social & behavioural sciences objective
Moderate skeptics
Pearl, Heckman, Hoover, …
Quantitative models do not ipso facto guarantee causality
… and the evergreen question:
When / how / under what conditions can we
infer causation from correlation?
7
Data and variables
What is data?
Observations of the characteristics of the studied individuals
and populations
socio-demo-economic, biological, behavioural, …
‘Organise’ data: variables
Genre and scale: continuous / discrete; quantitative /
qualitative
Role: obervational, latent, instrumental, proxy
Level: individual, aggregate
Field: socio-economic, demographic, bological, …
8
Variables and equations
Order variables in (systems of) equations
How a variable change depending on other variables
Establish whether such change is an effect of the change in
other variables
Vexata quaestio:
Causal inference, probability and causality
9
Quantitative methods
Models that establish
associations
Models that establish
causal relations
Information having
mere statistical import
Information having
causal import
10
Associational Models Causal Models
Background
Knowledge
Choice of variables
Causal context;
Theoretical
knowledge;
Institutional
knowledge;
…
Assumptions Statistical
Statistical;
Extra-statistical;
Causal
Methodology
Model-based
statistical induction
Hypothetico-
deduction
11
H-D methodology
1. Formulate the causal hypothesis
2. Build the statistical model
3. Test the model
4. Check congruence of results with background
knowledge
Identify the research
question; conceptual
variables; indicators; …
Conditional independence
properties; invariance;
exogeneity; …
Do results make sense? Do they
feed further research? …
Specify which assumption
are statistical, extra-
statistical, or causal
12
Information contained
in quantitative models
Statistical
A summary of data
Inferential statistics
(sample to population)
Adequate and parsimonious
description of the
phenomenon
Statistical dependence
Causal
Opening the ‘black box’
From association to causation
Finer grained analysis of statistical
dependence; recursive
decomposition
Background ‘constraints’
Temporal priority, known causal
priority, …
Tests
Exogeneity, invariance and
stability, …
13
In sum
To establish causal relations
We need background knowledge
And to go beyond it
We need causal information
And to test for it
14
CAVEATS, PROS & CONS
15
Subtleties
How much background knowledge?
Just the right amount …
What kind of causal information?
Just the relevant one …
A vicious circle introduced?
Not quite …
16
Questions about measurement
Age
• Very easy to measure
• What does it represent?
• Does it have any
explanatory import?
Socio-economic status
• Very controversial how we
should measure it
• What does it represent?
• What is its import in
explanation of social or
social / health outcomes?
17
Where do we get
information from?
Quantitative studies
Large samples, large data sets
Correlations to be validated
The bigger the better, the more precise the better –
true?
19
Qualitative studies
Small samples, small numbers
Detailed description of practices
Does ‘small’ allow for generalisation?
20
Experiments
Small samples, small numbers
Representative sample?
Controlled conditions?
21
TO SUM UP AND CONCLUDE
22
Against methodological imperialism
No method is intrinsically better than others
Rigour is not an intrinsic property of methods
Validity is not a property of the method, but of the
whole process of model building and testing
23
For methodological pluralism
Understanding (psychological) phenomena
Hardly ‘objective’ facts
Approach them from several methodological angles
Figure out
What method is best for the phenomenon at hand
How else to gather useful information
24
Don’t be afraid to say ‘cause’
Be rigorous when you say it
Always justify:
data,
method,
background knowledge,
interpretation of results
25

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Virtues and vices of causal modelling. A primer for the next generation of scientists

  • 1. Virtues and vices of causal modelling A primer for the next generation of scientists Federica Russo Philosophy | Humanities | Amsterdam russofederica.wordpress.com | @federicarusso
  • 2. Overview Psychological phenomena What is it that we want to model? Modelling psychological phenomena What is a causal model? How does it work? Caveats, pros & cons What’s good (or not so good) about causal models? 2
  • 4. 4
  • 6. Causal models Structural equation models, covariance structure models, contingency tables, multilevel models, regression models, Bayesian networks, potential outcome models, quasi- experimental models, spatial models … Quantitative models: statistical models 6
  • 7. Causal modelling has a long tradition Staunch causalists Quetelet, Durkheim, Wright …, Blalock, Duncan, … Make social & behavioural sciences objective Moderate skeptics Pearl, Heckman, Hoover, … Quantitative models do not ipso facto guarantee causality … and the evergreen question: When / how / under what conditions can we infer causation from correlation? 7
  • 8. Data and variables What is data? Observations of the characteristics of the studied individuals and populations socio-demo-economic, biological, behavioural, … ‘Organise’ data: variables Genre and scale: continuous / discrete; quantitative / qualitative Role: obervational, latent, instrumental, proxy Level: individual, aggregate Field: socio-economic, demographic, bological, … 8
  • 9. Variables and equations Order variables in (systems of) equations How a variable change depending on other variables Establish whether such change is an effect of the change in other variables Vexata quaestio: Causal inference, probability and causality 9
  • 10. Quantitative methods Models that establish associations Models that establish causal relations Information having mere statistical import Information having causal import 10
  • 11. Associational Models Causal Models Background Knowledge Choice of variables Causal context; Theoretical knowledge; Institutional knowledge; … Assumptions Statistical Statistical; Extra-statistical; Causal Methodology Model-based statistical induction Hypothetico- deduction 11
  • 12. H-D methodology 1. Formulate the causal hypothesis 2. Build the statistical model 3. Test the model 4. Check congruence of results with background knowledge Identify the research question; conceptual variables; indicators; … Conditional independence properties; invariance; exogeneity; … Do results make sense? Do they feed further research? … Specify which assumption are statistical, extra- statistical, or causal 12
  • 13. Information contained in quantitative models Statistical A summary of data Inferential statistics (sample to population) Adequate and parsimonious description of the phenomenon Statistical dependence Causal Opening the ‘black box’ From association to causation Finer grained analysis of statistical dependence; recursive decomposition Background ‘constraints’ Temporal priority, known causal priority, … Tests Exogeneity, invariance and stability, … 13
  • 14. In sum To establish causal relations We need background knowledge And to go beyond it We need causal information And to test for it 14
  • 15. CAVEATS, PROS & CONS 15
  • 16. Subtleties How much background knowledge? Just the right amount … What kind of causal information? Just the relevant one … A vicious circle introduced? Not quite … 16
  • 17. Questions about measurement Age • Very easy to measure • What does it represent? • Does it have any explanatory import? Socio-economic status • Very controversial how we should measure it • What does it represent? • What is its import in explanation of social or social / health outcomes? 17
  • 18. Where do we get information from?
  • 19. Quantitative studies Large samples, large data sets Correlations to be validated The bigger the better, the more precise the better – true? 19
  • 20. Qualitative studies Small samples, small numbers Detailed description of practices Does ‘small’ allow for generalisation? 20
  • 21. Experiments Small samples, small numbers Representative sample? Controlled conditions? 21
  • 22. TO SUM UP AND CONCLUDE 22
  • 23. Against methodological imperialism No method is intrinsically better than others Rigour is not an intrinsic property of methods Validity is not a property of the method, but of the whole process of model building and testing 23
  • 24. For methodological pluralism Understanding (psychological) phenomena Hardly ‘objective’ facts Approach them from several methodological angles Figure out What method is best for the phenomenon at hand How else to gather useful information 24
  • 25. Don’t be afraid to say ‘cause’ Be rigorous when you say it Always justify: data, method, background knowledge, interpretation of results 25