the measurement of capabilities
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The Measurement of Capabilities. 4 th University of Verona Winter School Canazei, 2009. Paul Anand Economics, The Open University and Health Economics Research Centre, Oxford University. Overview – Data for Capabilities Measurement. I. Motivation (Utility and Social Choice) - PowerPoint PPT PresentationTRANSCRIPT
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The Measurement of Capabilities
Paul AnandEconomics, The Open University andHealth Economics Research Centre, Oxford University
4th University of Verona Winter SchoolCanazei, 2009
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Overview – Data for Capabilities Measurement
I. Motivation (Utility and Social Choice)II. Capabilities Approach to Welfare Economics:
Context, Theory and Operationalisation IssuesIII. The Capabilities Measurement Project
phase 1 pilot + BHPSphase 2 ocap (UK, Argentina, Scotland)phase 3 child development, oxcap19
IV. Exercise
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Capabilities Measurement Project – Some Collaborators and Advisors
Philosophy and Social Science
Ian CarterKeith DowdingFrancesco GualaMartin van HeesGraciela TonenMaria Sigala
Economics
Ron SmithGraham HunterJaya KrishnakumarPeter MoffatCristina Santos
Amartya Sen
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Some publications
Journal of Human Development (2009)
Chapter in Festschrift for Amartya Sen Arguments for a Better World, Oxford University Press, Basu and Kanbur, (2008)
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Some publications
Journal of Human Development (2009)
Chapter in Festschrift for Amartya Sen Arguments for a Better World, Oxford University Press, Basu and Kanbur, (2008)
Social Indicators Research, Journal of Health Economics, Journal of Medical Ethics, Health Economics etc
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I. Motivation from Utility Theory
The case:rational agents can violate all the axioms
of EUtherefore there is room for empirical
explorations of preference in welfare economics
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Classical Decision Theory
Expected value
Expected Utility
Subjective Expected Utility
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Modern Decision Theory
Subjective ExpectedUtility Theory
Prospect TheoryNon-Transitive
UtilityRank Dependent
Theory
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Von Neumann and Morgernstern’s Axiomatisation of Transitive Utility
Axioms A1 Completeness A2 Transitivity A3 Independence A4 Continuity Representation and Uniqueness Theorems A1-A4 hold iff o1><o2 implies/implied by u(o1)><u(o2) and u (L) = ∑p.u(oi) If u(.), then a.u(.)+b where a is in Re+ and b is in Re
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Fishburn’s Axiomatisation of Intransitive Utility Theory (1988 p80)
Axioms A1 Continuity A2 Convexity A3 Symmetry Representation and Uniqueness Theorems A1-A3 hold iff Re LxL:u where u is SSB functional (CONTEXT DEPENDENCE) L1PL2 implies/implied by u(L1, L2) > 0 If u(.,.), then r.u(.,.) where r is in Re Definition - SSB functional skew-symmetry: u(a,b)=-u(b,a) bilinearity: u is linear in each argument
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The Logical Consistency Argument
“The proof of intransitivity is a simple example of reductio ad absurdum. If the individual is alleged to prefer A to B, B to C, and C to A, we can enquire which he would prefer from the collection of A, B and C. Ex-hypothesi, he must prefer one, say he prefers A to B or C. This however contradicts the statement that he prefers C to A, and hence the alleged intransitivity must be false.
Tullock (Oxford Economic Papers 1964 p403)
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A problem with Tullock’s Argument: Validity
Tullock assumes expansion consistency – is this normatively essential?
Health care and freedom of information example
F={access to all records, access to no records}Preference ranking: no access>access to all
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A problem with Tullock’s Argument: Validity
Tullock assumes expansion consistency – is this normatively essential?
Health care and freedom of information example
F={access to all records, access to no records}Preference ranking: no access>access to all
F={access to all records, access to electronic records, access to no records}
Preference ranking: access to all>access to electronic>no access
Conclusion – Tullocks’s argument is question begging as it relies on the normative appeal of expansion consistency
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Semantic embeddedness - The Constitutional Argument
“The theory…is so powerful and simple, and so constitutive of concepts assumed by further satisfactory theory… that we must strain to fit our findings or interpretations, to fit the theory. If length is not transitive, what does it mean to use a number to measure length at all? We could find or invent an answer, but unless or until we do, we must strive to interpret ‘longer than’ so that it comes out transitive. Similarly for ‘preferred to’.
Davidson Action and Events (1980 p237)
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Money Pump Arguments
Asynchronous Consistency Interpretation
Pab, Pbc, Pca means:F1={a,b} → swap b for a and pay e’F2={b,c} → swap c for b and pay e’’F3={a,c} → swap a for c and pay e’’’
Then one F prevails and this defines CNo room for inconsistency to violate dominance
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Money Pump Arguments
Chaining Interpretation
Pab, Pbc and Pca mean:
If F1={a,b} then swap b for a and pay e’if F2={b,c} then swap c for b and pay e’’if F3={a,c} then swap a for c and pay e’’’
And then c + F2 F1 and F3 → C2 C1 and C3 = c – e’ – e’’ – e’’’
FishburnLavalle/Anand/Sugden objection: if F2, F1 and F3 is the choice sequence then preferences for components may not be relevant or helpful
But why would anyone think that?
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Money Pump Arguments
One reason: if…then and the structure of material implication
A→ x, B→ y and C→ z impliesA and B and C → x and y and z
However, counterfactuals don’t have this structure in general
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Money Pump Arguments
The conference goers nightmare example:
A1=lose cash → have a beerA2=lose travellers cheques → have a
beerA3=lose credit cards → have a gin and
tonic
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Money Pump Arguments
The conference goers nightmare example:
A1=lose cash → have a beerA2=lose travellers cheques → have a beerA3=lose credit cards → have a gin and tonic
A1 A2 and A3 does not imply have 2 beers and a gin and a tonic
Counterfactuals don’t have a chaining structure in general
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When context can matter (I)
Possible world 1: small apple, orange
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When context can matter (I)
Possible world 2: orange, large apple
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When context can matter (I)
Possible world 3: small apple, large apple
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When context can matter (I)
Possible world 1: small apple, orange Possible world 2: orange, large apple Possible world 3: small apple, large
apple
Possible responses
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When context can matter (I)
Possible world 1: small apple, orange Possible world 2: orange, large apple Possible world 3: small apple, large apple
Possible responsesLarge apple: size, transitivitySmall apple: politeness
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A game where context can matter (Blythe 1972 and Packard 1982)
Scores on Face Die α 1 1 4 4 4 4 Die β 3 3 3 3 3 3 Die γ 5 5 2 2 2 2
RulesUmpire selects two dieEach player throws onceHighest number wins
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But can’t we redescribe the choice problem?
Translation Possibility TheoremAll intransitive behaviour can be given a
description where transitivity is not violated. Conversely, all transitive behaviour can be given an intransitive description.
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Translation
i. Cab, Cbc and Cca
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Translation
i. Cab, Cbc and Cca
ii. Refine primitive descriptionl = a out of a and bm = b out a and bn = b out and b and co = c out of b and cp = a out of a and cq = c out a and c
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Translation
i. Cab, Cbc and Cca
ii. Refine primitive descriptionl = a out of a and bm = b out a and bn = b out and b and co = c out of b and cp = a out of a and cq = c out a and c
iii. i can then be rewritten Clm, Cno, Cqp
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Translation
i. Cab, Cbc and Cac
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Translation
i. Cab, Cbc and Cac
ii. Refine primitive description and map onto new language as follows:
l = a out of a and bm = b out a and bm = b out and b and cn = c out of b and cn = a out of a and cl = c out a and c
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Translation
i. Cab, Cbc and Cac
ii. Refine primitive description and map onto new language as follows:
l = a out of a and bm = b out a and bm = b out and b and cn = c out of b and cn = a out of a and cl = c out a and c
iii. i can then be rewritten Clm, Cmn, Cnl
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Consequence for Empirical Work on Welfare
If rational agents can have intransitive preferences then preference is unlikely to have much apriori structure
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From Decision Theory to Social Choice
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II. The Capabilities Approach to Welfare Economics, Context, Theory and Operationalisation Issues
The Social Choice and Philosophical Background
Sen’s 3 variables and their equations United Nation’s HDI
(only 3 dims and not distinct for rich countries)
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Modern Social Choice and Welfare Theory
Sum UtilityMaximisation(Utilitarian
WelfareEconomics)
What about Non-utility Claims
likeRights
and Responsibilities?
What about Non-welfareOutcomes
Like Freedoms?
What about theDistribution?
What PreferencesCount?
What DimensionsMatter?
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Theory (Sen 1985 pp11-4)Sen’s Three Equations
EQ 1. fi = fi(xi) - heterogeneity in conversion
EQ 2. ui = hi(fi) - happinessEQ 3. Qi = {f1,f2,…fm}/endowment -
advantage
xi is vector of commodities possessed by i
f(.) converts resources into activities (doings/beings aka functionings)
“Qi represents the freedom a person has in terms of the choice of functionings, given his personal features Fi…and his command over commodities xi.”
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National Income Accounting
WilliamPetty
1600s RichardStone
1930son
Environ-mental
Criticismsof GDP
1970s SocialIndicatorsMovement
1980s on
AmartyaSen
CapabilitiesandHDI
1985/90-
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Limits to Gross National Product per capita
Ignores defensive expenditures Ignores value of household work Ignores differences in needs (not so important if adequate equivalence
scales exist) Emphasises material affluence (eg ignores qol at work, rights violations,
how we spend our time (eg Kahneman et al 2004))
Measures monetary value of production or cost of consumption but measurement of human welfare could be more complete
This is a moving target:GNP
Satellite Accounts, Social Accounting Matrices (non-monetary indicators as complements)
HDIMore dimensions, breakdowns
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Some Early Empirical Capabilities Research
Human Development Index
Schokkaert and van Ootegem (1990) Enrica Chiappero Martinetti (1994, 2000) Laderchi (1997) Kuklys (2005)
Andrea Brandolini (1999)
“The purpose is to assess the operational content of the approach ie the empirical methods to measure functionings and capabilities…much of what one can do depends the available data….we discussed the practical difficulties of moving to capabilities and proposed to remain in the (refined) functionings space.”
Source: Plenary paper given to the International Economics Association Congress, Buenos Aires
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Capabilities Measurement Project (Summary to Date)
Phase I (2000-2006)Primary and secondary dataDevise methodology for capability assessmentConduct national UK survey using
OCAP - 2005 versionSome ideas econometric issues associated with use of capability data
Phase II (2007-2008)extending applications and analyses of capabilities measurement
OCAP - Glasgow public health SHORT versionOCAP - Argentina - Spanish translation
Phase III (2009-OXCAP19 Oxford mental health and coercionChild Development and Old Age
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Capabilities Measurement and Assessment
Our approach
1. Elicit indicators of Qi
2. Estimate ui = hi(Qi)
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A. Capabilities as ScopeAnand and van Hees (2006)
Question TypesAchievements and ScopePerceived distribution of scope
DomainsHappinessSuccessHealthIntellectual StimulationSocial RelationsEnvironmentsPersonal IntegrityOverall Options
ModelsOverall Options SatisfactionIndividual Achievements
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Questions
a. Generally, my life is happy (strongly agree...)b. I feel the scope to seek happiness in my life is
(very good…)c. The proportion of the population who have severely limited
opportunities to seek happiness is (0-9%,…)
a. I have satisfying social relations (strongly agree…)b. I feel the scope to form satisfying social relations in my life is (very
good…)c. The proportion of the population who have severely limited
opportunities to form satisfying social relations is (0-9%)
a. I live a health life for my age (strongly agree…)b. I feel the scope to live a healthy life for my age is (very good…)c. The proportion of the population who have severely limited
opportunities to live healthy lives for their age is (0-9%)
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Some ConclusionsEach achievement is a function of its respective
capability
Estimates of other capabilities are often anchored on own capabilities with notable exceptions
Greatest scope: health/environmentLeast scope: social relations/personal integrity
Issues to be Addressed Sample Size Secondary Data Question Type
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B. Some secondary data?Anand Hunter and Smith (2005) Social Indicators Research
AimExplore links between satisfaction
and capabilities using BHPS data
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Econometric Approach
s = a + bC + e
s = a + bC + cP + e
pjhat = sj-sjhat j=10 life domains
s = a + bC + cPhat + e
Hausman Wu Test for endogeneity: c=0
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Adaptation Issues
If Complete and Instantaneous ‘Goods’ would have no observable impact on life satisfaction
There is some evidence of adaptation especially to improvements so capabilities which impact life satisfaction are only the utilitarian capabilities
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Two Conclusions
Person specific effects significant
Secondary data exists but is sparse
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C. AHRB Project to Measure Capabilities
Research QuestionCan we measure capabilities across a wide spectrum of human domains within the conventions applicable to national household and social surveys?
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The Measurement of Capabilities
Developing the OCAP (2005) instrument
Analysis by Sex and Age Violence and the Extension to Risk Latent Class and Multi-dimensional
deprivation
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Framework for QuestionsThe OCAP 2005 instrument
Nussbaum’s List
ComprehensiveRobust (similar to others)Don’t require universal claimsHas normative grounding
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Question Categories
Life Bodily Health Bodily Integrity Senses Imagination and Thought Emotions Practical Reason Affiliation Nature Leisure Control over one’s Environment
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Bodily Health
Being able to have good health, including reproductive health; to be adequately nourished; to have adequate shelter
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2 Bodily Health Being able to have good health, BHEALTH (Q57) Does your health in any way limit your daily activities compared to most people of your age? Yes, No. BHPS including reproductive health; BREPRODUCT (Q61) Are you able to have children? Yes, No, Don't know, Prefer not to answer If No Please indicate the reason(s) you are not able to have children. I cannot have children because of: Q62_1 My age; Q62_2 I have had a vasectomy / hysterectomy; Q62-3 Another
medical condition; Q62_4 My partner being unable / unwilling; Q62_5 Another reason; Q62_6 Prefer not to answer. to be adequately nourished BNOURISH (Q59) Do you eat fresh meat, chicken or fish at least twice a week? Yes/No BHPS If No Q60 For which of the following reasons, if any, do you NOT eat fresh meat, chicken or fish at least twice a
week? [Please tick all that apply] I am vegetarian/vegan, I cannot afford to, I do not like eating fresh meat, chicken or fish that often, I do not have
time to prepare fresh food., Some other reason to have adequate shelter. BSHELTER (Q85) Is your current accommodation adequate or inadequate for your current needs? More than adequate, Adequate, Inadequate, Very inadequate BCANMOVE (Q86) Are you prevented from moving home for any reason? Yes, No If yes Q87 What prevents you from moving home? Lack of money/finances; The Council would be unlikely to re-house me; Family responsibilities and/or schooling; I
could not move out of my current accommodation because of some other reason
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HEALTH STATUS
Does your health in any way limit your daily activities compared to most people of your age?
Yes, No. BHPS
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REPRODUCTION
Are you able to have children? NEWYes, No, Don't know, Prefer not to answer
If no please indicate the reason(s) you are not able to have children
I cannot have children because of: Q62_1 My ageQ62_2 I have had a vasectomy / hysterectomyQ62_3 Another medical conditionQ62_4 My partner being unable / unwillingQ62_5 Another reasonQ62_6 Prefer not to answer
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NOURISHMENT
Do you eat fresh meat, chicken or fish at least twice a week?
Yes/No BHPS with additions
If No(Q60)For which of the following reasons, if any, do you NOT eat
fresh meat, chicken or fish at least twice a week? [Please tick all that apply]
I am vegetarian/veganI cannot afford toI do not like eating fresh meat, chicken or fish that often I do not have time to prepare fresh foodSome other reason
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ADEQUATE SHELTER
BSHELTER (Q85)Is your current accommodation adequate or inadequate for your
current needs?More than adequate, Adequate, Inadequate, Very inadequate
BCANMOVE (Q86)Are you prevented from moving home for any reason?
Yes, No
If yes (Q87)What prevents you from moving home?
Lack of money/finances; The Council would be unlikely to re-house me; Family responsibilities and/or schooling; I could not move out of my current accommodation because of some other reason
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5 Types of Capability Indicators
Type 1. OpportunitiesType 2. AbilitiesType 3. ConstraintsType 4. Functionings + ReasonsType 5. Functionings + Universality
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Analyses
Sex/age differences + links to happiness for all Capabilities (Anand et al 2009)
Vulnerability to Violent Crime, gender inequalities, links to income, personality and life satisfaction
Health as a determinant of capability deprivation
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Dependent Variable SWB2 Capability Variables Coeff. S.Error t-Stat Prob. BSHELTER 0.27 0.09 2.93 0.00 CDASALTP -0.17 0.08 -2.01 0.04 CSEXSAT 0.25 0.07 3.33 0.00 ELOVE 0.08 0.03 3.03 0.00 EFEELING 0.11 0.03 4.14 0.00 ESTRAIN -0.13 0.04 -3.24 0.00 FGOOD 0.09 0.03 3.17 0.00 FPLAN 0.12 0.02 5.10 0.00 FEVALUATE -0.06 0.03 -2.15 0.03 FROLE 0.36 0.05 6.89 0.00 GCONCERN 0.09 0.03 2.69 0.01 GHOLIDAY 0.27 0.08 3.28 0.00 GWORTH 0.35 0.04 7.86 0.00 JRACEWP -0.54 0.17 -3.18 0.00 JRACEWF 0.08 0.03 2.26 0.02 JSEARCH -0.05 0.02 -2.20 0.03 JSKILLSW 0.08 0.03 2.61 0.01 (linear approximations) Adjusted R-squared 0.53 Akaike info criterion 2.62 Schwarz criterion 2.73 Durbin-Watson stat 1.83
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Gender DifferencesDependent Variable SWB2 Female Male Variable Coeff. S. Error t_Stat. Prob. Coeff. S. Error t_Stat. Prob. BSHELTER 0.39 0.13 3.05 0.00 0.02 0.15 0.14 0.89 CDASALTP -0.18 0.10 -1.75 0.08 -0.18 0.17 -1.10 0.27 CSEXSAT 0.14 0.11 1.29 0.20 0.29 0.11 2.70 0.01 ELOVE 0.12 0.03 3.54 0.00 0.02 0.04 0.62 0.54 EFEELING 0.04 0.04 1.00 0.32 0.16 0.04 3.91 0.00 ESTRAIN -0.04 0.05 -0.69 0.49 -0.16 0.06 -2.44 0.02 FGOOD 0.16 0.04 3.93 0.00 0.05 0.04 1.37 0.17 FPLAN 0.11 0.04 3.17 0.00 0.09 0.04 2.52 0.01 FEVALU8 -0.03 0.04 -0.90 0.37 -0.02 0.04 -0.62 0.54 FROLE 0.41 0.07 5.91 0.00 0.30 0.08 3.64 0.00 GCONCERN 0.13 0.05 2.60 0.01 0.08 0.06 1.32 0.19 GHOLIDAY 0.12 0.11 1.09 0.28 0.27 0.14 2.00 0.05 GWORTH 0.32 0.06 5.09 0.00 0.28 0.07 3.92 0.00 JRACEWP -0.23 0.26 -0.88 0.38 -0.73 0.23 -3.24 0.00 JRACEWF 0.04 0.05 0.87 0.39 0.07 0.05 1.56 0.12 MDSWORKF -0.40 0.14 -2.89 0.00 -0.11 0.15 -0.73 0.47 JSEARCH -0.03 0.04 -0.87 0.38 -0.05 0.03 -1.37 0.17 JSKILLSW 0.02 0.04 0.44 0.66 0.11 0.04 2.63 0.01 MWORK -0.03 0.23 -0.13 0.90 -0.75 0.25 -3.02 0.00 MAGE -0.03 0.02 -1.92 0.06 0.01 0.02 0.80 0.42 MAGE2 0.00 0.00 1.19 0.24 0.00 0.00 -0.58 0.56 MGHI 0.03 0.04 0.89 0.37 0.10 0.04 2.30 0.02 MRSOUTH -0.16 0.14 -1.14 0.25 -0.17 0.15 -1.14 0.26 MRMIDWLS 0.14 0.14 0.99 0.32 -0.11 0.15 -0.71 0.48 MRNORTH -0.13 0.13 -1.00 0.32 -0.12 0.14 -0.82 0.41 MRSCOT 0.13 0.18 0.73 0.47 -0.12 0.18 -0.63 0.53 PXTRAVRT 0.08 0.03 2.39 0.02 0.03 0.04 0.78 0.44 PAGREEBL -0.06 0.04 -1.34 0.18 0.00 0.05 -0.08 0.93 PCONSCS -0.07 0.04 -1.80 0.07 0.00 0.04 0.01 0.99 PSTABLE 0.13 0.04 3.52 0.00 0.14 0.04 3.32 0.00 POPEN -0.01 0.04 -0.32 0.75 -0.05 0.05 -1.13 0.26 Mean dependent var 4.82 4.80 Adjusted R-squared 0.58 0.54 Akaike info criterion 2.57 2.64 Schwarz criterion 2.87 2.98 Durbin-Watson stat 1.67 1.65
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Violent Crime, Gender Inequalities and Life Satisfaction (Anand and Santos 2007)
Data Past Experience/Future vulnerability to domestic, sexual and other
forms of assault Current experience of Safety in local area during day and night
Emerging Themes1. Violence in general has a negative impact on life satisfaction
whether you use self report or local area reports2. Self-reported vulnerability to future assault drives out past
experience of violence in happiness equations3. Some evidence that higher relative earning females are more at risk
of domestic violence
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Health and Capability Poverty
Data Does health limit your daily activities for your age All capabilities, life satisfaction and socio-economic
covariates
Analysis (latent class) Can we identify a ‘super-poor’ group
What are capability classes related to?
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BC
AN
MO
VE
0-1
Mean
BN
OR
ISH
0-1
Mean
BS
HLT
ER
0-1
Mean
1.0
0.8
0.6
0.4
0.2
0.0
Cluster1Cluster2Cluster3Cluster4Cluster5Cluster6
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GA
GE
F0-1
Mean
GA
GE
P0-1
Mean
GC
ON
CR
N0-1
Mean
GG
EN
DF
0-1
Mean
GG
EN
DP
0-1
Mean
GH
OLD
AY
0-1
Mean
GIM
GN
E0-1
Mean
GM
EA
L0-1
Mean
GR
AC
EF
0-1
Mean
GR
AC
EP
0-1
Mean
GR
ELF
0-1
Mean
GR
ELP
0-1
Mean
GS
EX
OR
F0-1
Mean
GS
EX
OR
P0-1
Mean
GW
OR
TH
0-1
Mean
1.0
0.8
0.6
0.4
0.2
0.0
Cluster1Cluster2Cluster3Cluster4Cluster5Cluster6
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Table 6b Wald Statistics for Health Status and Other Predictors of Class Membership in a Six Latent Class Model
Covariate Model Diagnostic Statistics
Health Status
51.97, 5.50e-10
31.5533, 7.30e-06
42.5177, 4.60e-08
25.6563, 0.0001
30.7661, 1.00e-05
Household Income
31.0012, 9.30e-06
21.9757, 0.00053
26.8417, 6.10e-05
12.0814, 0.034
20.9303, 0.00083
Controls for Age
No Yes
Personality: pagree pconsc
popen pstable pxtravt
29.036, 2.3e- 05 24.1576, 0.0002
55.0846, .3e-10 49.8809, 1.50e-
09 19.8605, 0.0013
29.3056, 2.00e-
05
21.8305, 0.00056 60.14, 1.10e-11 50.2556, 1.20e-
09 24.708, 0.00016
Controls for Regions
No Yes
Notes Cell entries indicate the value of the Wald statistic and its associated p value respectively. Controls for age comprise age and its square. Coefficients for all models in Table 3 are available on request.
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POVERTY CLASSES AND THEIR SOCIO-DEMOGRAPHIC PROFILES
Cluster 1 Cluster 2 Cluster 3 Cluster 4 Cluster 5 Cluster 6
cluster size 23.7% 20.79% 19.05% 18.30% 10.13% 8.02%
HS 78.49% 82.96% 85.74% 61.45% 67.95% 47.01%
mghi 3.19 3.31 3.33 2.93 2.86 2.32
pagreeable 4.73 4.88 5.50 4.93 5.23 4.41
pconscientious 5.12 5.53 5.87 4.9 5.42 4.7
popen 4.86 4.58 5.36 4.60 5.55 5.22
pstable 4.47 4.87 5.32 3.61 4.70 3.41
pextravert 4.09 4.07 4.84 3.53 4.14 3.51
mage 42.19 46.17 50.63 39.65 47.14 38.14
mmale 59.73% 54.22% 45.55% 40.73% 10.64% 38.41%
mrmidwls 25.05% 29.76% 20.58% 18.30% 18.99% 13.47%
mrnorth 25.15% 28.93% 28.50% 24.78% 32.82% 38.71%
mrscot 10.25% 8.05% 10.64% 12.77% 7.02% 3.45%
mrsouth 16.61% 21.57% 27.10% 24.48% 13.09% 29.58%
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Work in Progress and Concluding Thoughts:Limits to Income as a Measure of Welfare
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with Krishnakumar et al
GLLAMM (generalised linear and latent mixed models)ordinal response, unobserved heterogeneity, potential endogeneity
Use FIML Results
A ordered probitB ordered probit with instrumentationC gllammD gllamm with lambdas set to zero
sd of eta significant in C and Dunobserved heterogeneity plays a larger role in fitting life satisfaction when it is shared by the capabilities
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Capabilities and health-care measurement – a thought
Eq5d is a hybrid measure Affected by adaptation so gives biased
estimates of health-gain from medical interventions
More objective self-reports about ‘normal activities’ might be helpful
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Capabilities and Welfare over the Lifespan- Very Young Children
Mother and Child module GSOEP Birth and 2years Data for all three equations:
f1=f(parenting regime, household affluence, local environment)
u2-u0=g(f1…f9)C=h(f1…f9)
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Capabilities and Welfare over the Lifespan- Very Young Children
Data for all three equations:
Functionings Sing Singing children’s songs with or to the
child Walk Talking walks outdoors Paint Painting or doing arts and crafts Read Reading or telling stories Look Looking at picture books Play Going to the playground Visit Visiting other families with children Shop Going shopping with the child Watch Watching television or videos with the child
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Capabilities and Welfare over the Lifespan- Very Young Children
Data for all three equations:CapabilitiesTalking, Everyday Skills, Movement, Social Skills Talking t1 Understands brief instructions such as ‘go get your shoes’ t2 Forms sentences with at least two words t3 Speaks in full sentences (with four or more words) t4 Listens attentively to a story for five minutes or longer t5 Passes on simple message such as dinner is ready Eskills e1 Uses a spoon to eat, without assistance and without dripping e2 Blows his/her nose without assistance e3 Uses the toilet to do ‘number two’ e4 Puts on pants and underpants the right way around e5 Brushes his/her teeth without assistance
f1=f(parenting regime, household affluence, local environment)u2-u0=g(f1…f9)C=h(f1…f9)
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xsing talk2 2,1 2,2 2,i i i if a b Q b nationality
Capabilities and Functions Simultaneous Equations – 3SLS
Capabilities (Development) Eq
Functionings (Targeting) Eq
xsing1 1,1 1,2 1,
talki i i iQ a b f b age
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Talking Capabilities and Singing Activities(Being sung to functioning)
b Se P
Talking equation
Mother Singing 2.573947 1.139581 0.023903
Age 0.084253 0.014116 2.39E-09
_cons -1.06683 1.222908 0.383007
Mother Singing equation
Talk -0.03992 0.044706 0.371832
Nationality -0.16612 0.046607 0.000365
_cons 1.098385 0.186239 3.69E-09
Aic 1570.972
Bic 1595.837
N 466
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The Capabilities Measurement Project Emerging Conclusions
Methodological/Theoretical ThemesIt IS possible to measure capabilitiesSecondary data exists but more can be generatedSen’s 3 key formal equations can be estimatedSuggests a link between welfare and the life courseA Behavioural interpretation of links between capabilities and functionings is possible
Substantive ThemesExperienced utility (welfare) appears HIGHLY multi-dimensionalThere is evidence of a small group in UK with low all round capabilitiesHealth is strongly related to capability deprivationSome forms of deprivation are not obviously adapted to eg vulnerability to domestic violence and discrimination at work
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Future work…
Future agenda:
expand questions in leisure/nature/workexpand sub-population coverage to make more detailed use of response categories (disability/reproductive choice/children)extend applications beyond England, Scotland and Argentina
expand econometric and economic theory applied to data
replicate internationally
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Future work…
Future agenda:
expand questions in leisure/nature/workexpand sub-population coverage to make more detailed use of response categories (disability/reproductive choice/children)extend applications beyond England, Scotland and Argentina
expand econometric and economic theory applied to data
replicate internationally
THANK YOU!
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Exercise
You are invited to develop a proposal for empirical research, informed by the capabilities approach. In groups, spend 10-15 mins developing a proposal. Please briefly summarise your proposal.
The proposal can take any shape you want but should say:
(i) What model(s) are being estimated(ii) What data is to be used(iii) What econometric problems will be investigated