Abstract
We present an empirical model aimed at testing the relative income hypothesis and the effect of deprivation relative to mean income on subjective well-being. The main concern is to deal with subjective panel data in an ordered response model where error homoskedasticity is not assumed. A heteroskedastic pooled panel ordered probit model with unobserved individual-specific effects is applied to micro-data available in the British Household Panel Survey for 1996–2007. In this framework, absolute income impacts negatively on both completely satisfied and dissatisfied individuals, while relative income affects positively the most satisfied ones. Such an effect is asymmetric, impacting more severely on the relatively poor in the reference group. We argue that our results buttress the validity of the relative income hypothesis as an explanation of the happiness paradox.
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Notes
The heteroskedastic ordered probit is also known as heterogeneous choice/ location-scale ordinal probit. We coined the term heteroskedastic pooled panel ordered probit for synthesizing the features of the model we use: an ordered probit, pooled, but still allowing more robustness than cross-sectional analyses (panel), and controlling for potential heteroskedasticity (heteroskedastic).
The deprivation measure consists of a multiplicative term which includes a dummy and relative income. The dummy takes on the unity when personal income is below the reference one.
Life satisfaction is thought of as being a good proxy for welfare, a more general concept the researchers actually focus on. Also, life satisfaction is presumed to be ordinally comparable between individuals. Loosely speaking, we can recognize if any two individuals are better off, worse off or equally well off in terms of welfare. This implies that happiness is a concept perceived much the same way. Being life satisfaction a monotonic transformation of welfare, we are able to discern happier individuals from less happy ones.
Lastly, a cardinal comparability of life satisfaction (preferences) between individuals is assumed to be possible. This means assuming that the difference between any two consecutive scores in the satisfaction scale is the same regardless of the rank. Such a hypothesis is not very widespread for its perversity to the standard microeconomic theory. Indeed, a controversy on happiness (or utility) cardinal measurability exists in this literature. In these regards, Ferrer-i-Carbonell and Frijters (2004) produce evidence that the assumption of cardinality of life satisfaction scores has a negligible impact on empirical results. Indeed, we argue that such an assumption is closely related to the econometric method used for the empirical analysis, and that when ordinal discrete models are used, cardinality is not a major concern.
Henceforth in this subsection we disregard subscripts for expositional neatness; the specification refers to individual n at period t.
In fixed effects models, the number of parameters increases with the number of individuals, because we estimate them as unknown parameters. When n becomes large, but T is finite, the maximum likelihood estimator is inconsistent.
The number of waves an individual is surveyed may change due to several reasons, such as death, immigration and attrition or because new individuals become part of the household.
We drop all the non-full interviews. From Wave 7 (1997) there is oversampling of low income people for comparability with the European Community Household Panel. Moreover, many more observations have been sampled for Scotland and Wales. In order to maintain comparability with previous waves and random sampling, we keep only observations belonging to the original sample.
Socrates was the first philosopher using this term; Aristoteles and Plato contributed to develop the concept in relationship with the moral and political disciplines.
Source UK National Statistics (http://www.statistics.gov.uk/hub/index.html).
A person whose income is 20,000 GBP, and confronts herself with a reference income of 30,000 GBP, experiences the same relative deprivation of an individual having 90,000 GBP per year and a comparison income of 100,000 GBP.
For instance, men and women have different sensibility and ambitions, as it is well-known.
Percentage computed from the sum of densities relative to responses between 5 and 7.
Marginal partial effects computed as in (3).
Marginal partial effects computed for HPPOP as in (4).
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Acknowledgments
I would like to thank Mette Ejrnæs, Lars Peter Østerdal, Marcos Vera Hernandez, Ada Ferrer-i-Carbonell, and Emiliano Santoro for their invaluable discussions. All errors are my own.
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Appendix: Dataset Features and Statistical Package
Appendix: Dataset Features and Statistical Package
Quoting the official BHPS web site “The British Household Panel Survey” began in 1991 and is a multi-purpose study whose unique value resides in the fact that:
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it follows the same representative sample of individuals—the panel—over a period of years;
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it is household-based, interviewing every adult member of sampled households;
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it contains sufficient cases for meaningful analysis of certain groups such as the elderly or lone parent families.
The wave 1 panel consists of some 5,500 households and 10,300 individuals drawn from 250 areas of Great Britain” . From Wave7 (1997), there is oversampling of low income people for comparability with ECPH. “ Moreover, many more observations have been sampled for Scotland and Wales. Additional samples of 1,500 households in each of Scotland and Wales were added to the main sample in Wave9 (1999), and in 2001 a sample of 2,000 households was added in Northern Ireland, making the panel suitable for UK-wide research”.
Data in each wave are organized in different macro-groups: INDSAMP includes all sampled individuals (either respondents or not), INDALL is an individual level record for all members of the household, corresponding to the household grid, INDRESP includes responding individuals only. The same applies to household-specific data, collected into HHSSAMP, HHSAMP and HHRESP. Hence, when extracting the individual interview outcome (IVFIO) from INDSAMP/HHSAMP, we are taking more observations than those that we have in INDRESP/HHRESP. They are dropped when drop** according to IVFIO (we drop all the observations where the interview outcome was not 1, i.e. all the non-full interviews). Also, in order to maintain comparability with previous waves and random sampling, we keep only observations belonging to the original sample (MEMORIG=1 for INDRESP and HHORIG=1 for HHRESP), disregarding the data added from 1997, 1999 and 2001 mentioned before.
Here follows a list of BHPS codes for the raw variables used in our analysis, in alphabetical order:
Raw Data | |||
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age | Age from birth | Biographic | Continuos |
fihhyl | Annual household labor income | Derived | Continuous |
fihhynl | Annual household non-labor income | Derived | Continuous |
hgemp | In paid employment—household grid | Self-reported | Binary |
hllte | Health no indrance daily activities | Self-reported | Binary |
hlstat | Health over last 12 months | Self-reported | 1–5 ordered |
lfsato | Satisfaction with life overall | Self-reported | 1–7 ordered |
mastat | Marital status | Biographic | 5 different stati |
nchild | Number of own children in household | Biographic | Continuous |
race | Ethnicity | Biographic | 5 different races |
region | Region / metropolitan area | Biographic | 18 UK sub-regions |
sex | Gender | Biographic |
By means of STATA, the PPOP model has been estimated using the standard command oprobit . For the HPPOP model, instead, we have made use of a STATA module by Williams (2010, 2011), known as oglm .
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Distante, R. Subjective Well-Being, Income and Relative Concerns in the UK. Soc Indic Res 113, 81–105 (2013). https://doi.org/10.1007/s11205-012-0083-z
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DOI: https://doi.org/10.1007/s11205-012-0083-z