measurement of human development using composite indices, claes johansson
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The Human Development
IndicesOxford, Sep 14 2004
Claes Johansson
United Nations Development Programme
Human Development Report Office
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The Human
Development Indices The HDI (Human Development Index)
- a summary measure of human development
The GDI (Gender-related Development Index)
- the HDI adjusted for gender inequality
The GEM (Gender Empowerment Measure)- Measures gender equality in economic and political
participation and decision making
The HPI (Human Poverty Index)
- Captures the level of human poverty
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The dimensions and indicators of the
HDI
HDI has three dimensions, measured by
one or two indicators each:
Leading a long and healthy life
Life expectancy at birth
Education
Adult literacy rate
Gross primary, secondary and tertiaryenrolment
A decent standard of living
GDP per capita (PPP US$)
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What dimensions to include
The concept of human development hasmany dimensions
Health, education and standard of livingare dimensions that are basic and can be
measured Proposed additions either are hard to
measure or overlap with existingdimensions - Examples: political
freedom, environment, child mortality
HD can never be captured in singleindicator!
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Combining indicators for the HDI
In order to create the HDI, goalposts
are chosen for each indicator
Using goalposts rather than observedminima and maxima allows comparisons
over time
Set with the timeframe 1960-2050 Also set to allow for disaggregation
some subgroups can have lower values
than observed in country data
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Goalposts for calculating the HDI
Indicator Minimum value Maximum value
Life expectancy 25 years 85 years
Adult literacy 0% 100%
Gross enrolment 0% 100%
GDP per capita 100 (PPP US$) 40,000 (PPP US$)
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Calculating the HDI
Dimensions:
Indicators:
Dimension
index
A long and
healthy life
Life
Expectancy
Life
Expectancy
Index
Being
Knowledgeable
Literacy &
Enrolment
Education
Index
A decent
standard
of living
GDP
per capita
GDP
Index
The HDI
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25 years
85 years
0
1
41.4
Life
expectancy
index
0.27
100%
0%
78.1 0.68
Literacy(2/3)
Enrolment(1/3)
49
0% 0
100% 1
Education indexIncome
index
40,000
100
0.34780
0
1
(log scale)
HDI1
0
0.433
0.27 + 0.68 + 0.34
3
= 0.433
Calculating the HDI: an example (Zambia)
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The weights in the HDI
The three dimensions in the HDI health, education, standard of living
weighted equally Equal weighting is not an accident;
reflects a belief that all three are equallyimportant
Assumption of substitutability central,but sometimes forgotten
Changing the weighting, even
drastically, maintain
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Changing weights what would happen?
How sensitive is the HDI to changing weights?
Not very: for the full set of countries, thecomponents are highly correlated
Does not implicate redundancy: in sub-groups,large differences in how income is translated intoother dimensions
Life
expectancy
Education GDP
Life
expectancy
- 0.74 0.78
Education - 0.75
GDP -
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Average absolute rank change with
changing weights
1 23 4
5 67
89
10
Life expectancyGDP
Education
0
2
4
6
8
10
12
14
Average
absolute
rank
change
Higher weight
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Correlation with the HDI with
increasing weights by subcomponent
12
3 4 56
78
910
Life expectancyGDP
Education
0.91
0.92
0.93
0.940.95
0.96
0.97
0.98
0.99
1
CorrelationwithHDI
Weight awarded
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Why include GDP per capita?
GDP per capita included as a proxy for a
decent standard of living
Reflects a number of issues notexplicitly included: the expanding
choices available in many areas with
increasing income Logarithm of GDP is used reflects
diminishing return in expanding choices
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Critiques of the HDI
Critiques
Are these all the dimensions of HD?
Are these indicators good measures of
the dimensions?
What about inequality?
Can it capture policy changes?
Ranking countries unknown
uncertainties Why cap values?
Why have an index at all?
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Critiques, cont.
What about future generations an
environmental degradation component?
Political freedoms and rights? Culture
Nutritional status
Uncertainty
Personal security
Missing components
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Critiques incorporated in the HDI
Absolute maximum and minimum
values for each indicator
Supplementing literacy with a secondeducation indicator
Changing the adjustment of GDP per
capita
Critiques that have been incorporated
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Political freedom
Political freedom index (PFI) presented
in HDR 1991
Meant to be incorporated in the HDI Caused technical and political
controversy
Ultimately dropped because of thedifficulties of measurement
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Literacy
Conceptually and practically limited
Definition and collection of literacy varieswidely from country to country
Culturally specific: script systems and other
factors vary across the world
UNESCO Institute of Statistics LAMP
programme
Key data problems
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GDP per capita (PPP US$)
Based on the ICP programme, limited to
some 60 countries Based on regressions for other countries
Imperfect measure but certainly better than
exchange rate terms
Life expectancy
Should measure long and healthy life but
does not take into account health, just
length
Key data problems, cont.
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Staying power of the HDI
HDI has become one of the best known
and most used indicators of
development. Despite some remaining controversies,
broadly accepted and used by media,
policymakers and academics What factors likely contributed?
Why has the HDI been successful?
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Staying power of the HDI
Underpinned by four aspects:
Conceptual clarity that facilitates its power
as a tool of communication Reasonable level of aggregation
Use of universal criteria and variables
Use of standardized international data
explicitly designed for comparison
Policy relevance, and acceptability
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Specification of the HDI derived from a
clearly defined concept:
Dimensions and variables correspond to theconcepts of human development
Meaning of variables intuitively
understandable
Conceptual clarity
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Reasonable level of aggregation
HDI focuses on a set of universally -
applicable core issues
Aggregating too many issues tends tocompromise analytical usefulness and
policy relevance
Separate indices for e.g. genderempowerment, human poverty
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Universally-relevant concepts and
variables
High degree of consensus that more isbetter in each of the variables
In contrast with e.g. election frequency,
voter turnout, share of largest party
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Uses data that are legitimized through
the international statistical system
Of course, still data problems but data havebeen standardized to ensure inter-country
comparability
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Appropriate uses of the HDI
Ordinal vs. cardinal HDI value has a
meaning but it is not intuitive and should
be used carefully Ranking
Example: reversals in HDI? Arguably
meaningful exercise, if weights areaccepted
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Other indices
Whereas HDI measures average
achievement, the HPI measures
deprivations Separate indices for developing
countries (HPI-1) and high-income
OECD countries (HPI-2)
The Human Poverty Indices (HPI-1 and
HPI-2)
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Other indices
HDI and GDI focus on national averages
(conglomerative aspect)
HPI focuses on the worst off(deprivationalaspect)
The deprivational perspective
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Other indices
Distinguishing between developing and
OECD countries recognized the relative
nature of poverty Allows the use of richer, more
appropriate data
Different deprivations are more relevantin different contexts
Why separate indices
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Other indices
The Human Poverty Index for developing
countries (HPI-1)
Dimensions: Indicators:A long and healthy
life
Probability at birth of not
surviving until age 40
Knowledge Adult illiteracy rate
A decent standard Access to safe water and
children underweight for age
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Other indices
The Human Poverty Index (HPI-1)
Where:
P1=Probability of not surviving to age 40 (times 100)P2=Adult illiteracy rateP3= Average of people without access to safe water and children
underweight
As E rises greater weight is given to the dimension in
which there is most deprivation. E=1 implies simple
average (perfect substitutability), E= tsets HPI =highest value (no substitutability). In he global HDR
E=3, giving additional but not overwhelming weight to
areas of most acute deprivation
EEEE /1
321 )](3/1[ PPPHPI !
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E in the HPI formula
As E rises greater weight is given to the
dimension in which there is most deprivation.
E=1 implies simple average (perfectsubstitutability),
E= HPI = highest value (no substitutability).
In the global HDRE=3, giving additional butnot overwhelming weight to areas of most
acute deprivation
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Other indices
The Human Poverty Index for OECD
countries (HPI-2)
Dimensions: Indicators:A long and healthy
life
Probability at birth of not
surviving until age 60
Knowledge Functional illiteracy rate
A decent standard
Social exclusion
Relative income poverty
Long-term unemployment
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Other indices
The Human Poverty Index (HPI-2)
Where:
P1=Probability of not surviving to age 60 (times 100)P2=Functional illiteracy rateP3=Relative income poverty (population below 50% median
income)
P4 = Long-term unemployment
As E rises greater weight is given to the dimension in
which there is most deprivation. In the global HDRE=3,
giving additional but not overwhelming weight to areas
of most acute deprivation
EEEEE /1
4321 )](4/1[ PPPPHPI !
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Other indices
The Gender-related development Index
(GDI)Same components as the HDI
After calculating dimension index for each
sex they are combined in a way to penalizegender equality (equally distributed index)
The GDI is calculated by taking the
unweighted average of the three equallydistributed indices
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Other indices
The Gender-related development Index
(GDI)
Formula for the equally distributed index:
1/11
1
)]}.(..[)].(..{[
indexmalesharepopmaleindexfemalesharepopFemale
determines the size of gender equality in a
society. In the global HDR it is set at 2.
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Goalposts for calculating the GDI
Other indices
Indicator
Life expectancy
Female 27.5 years 87.5 years
Male 22.5 years 82.5 years
Adult literacy 100% 0%
Gross enrolment 100% 0%
GDP per capita $40,000(US) $100(US)
Maximum
Value
Minimum
value
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Other indices
The GenderEmpowerment Measure
Dimensions: Indicators:
Political participation
and decision making
Share of parliamentary seats
Economic participationand decision making
Share of positions aslegislators, senior officials and
managers; and profesional
and technical workers
Power over economic
resources
Share of estimated earned
income
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Other indices
The GenderEmpowerment Measure
Calculate dimension index and equallydistributed equivalent percentage (EDEP)
for each dimension (like GDI)
For political and economic decisionmaking divide EDEP by 50 (the ideal share
women should have)
N.B. For political and economic decisionmaking EDEP can be calculated directly
(as indicators are already %)
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Other indices
Income is not logged in the calculationof the income index.
Again = 2, for moderate penalisation
of inequality
The GenderEmpowerment Measure
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Discrimination through the lens of the
HDI
Life
expectancy
Literacy
Income