Measuring Inequality of Happiness in Nations: In Search for Proper Statistics

Comparative research on happiness typically focuses on the level of happiness in nations, which is measured using the mean. There have also been attempts to compare inequality of happiness in nations and this is measured using the standard deviation. There is doubt about the appropriateness of that latter statistic and some prefer to use the statistics currently used to compare income inequality in nations, in particular the Gini coefficient. In this paper, we review the descriptive statistics that can be used to quantify inequality of happiness in nations. This review involves five steps: (1) we consider how happiness nations is assessed, (2) next we list the statistics of dispersion and considered their underlying assumptions; (3) we construct hypothetical distributions that cover our notion of inequality; (4) we define criteria of performance and (5) we check how well the step-2 statistics meet the step-4 demands when applied to the step-3 hypothetical distributions. We then applied the best performing statistics to real distributions of happiness in nations. Of the nine statistics considered, five failed this empirical test. One of the failed statistics is the Gini coefficient. Its malfunction was foreseen on theoretical grounds: the Gini coefficient assumes a ratio level of measurement, while happiness measures can at best be treated at the interval level. The Gini coefficient has been designed for application to ‘capacity’ variables such as income rather than to ‘intensity’ variables such as happiness. Four statistics proved to be satisfactory; these were (1) the standard deviation, (2) the mean absolute difference, (3) the mean pair difference and (4) the interquartile range. Since all four, statistics performed about equally well, there is no reason to discontinue the use of the standard deviation when quantifying inequality of happiness in nations.

[1]  M. Kendall,et al.  The advanced theory of statistics , 1945 .

[2]  E. Diener,et al.  National differences in reported subjective well-being: Why do they occur? , 1995 .

[3]  Yew-Kwang Ng,et al.  A Case for Happiness, Cardinalism, and Interpersonal Comparability , 1997 .

[4]  R. Lane.  The Loss of Happiness in Market Democracies , 2000 .

[5]  Ronald Inglehart,et al.  Genes, culture, democracy, and happiness. , 2000 .

[6]  C. Gini.  Variabilità e mutabilità : contributo allo studio delle distribuzioni e delle relazioni statistiche , 1912 .

[7]  Ruut Veenhoven,et al.  The cross-national pattern of happiness: Test of predictions implied in three theories of happiness , 1995 .

[8]  R. Veenhoven.  Inequality in happiness: inequality in countries compared across countries , 1990 .

[9]  R. Inglehart.  Culture Shift in Advanced Industrial Society , 1991 .

[10]  Willem E. Saris,et al.  A comparative Study of Satisfaction with Life in Europe , 1996 .

[11]  R. Veenhoven.  Conditions of Happiness , 1984 .

[12]  Y. Ng.  Happiness surveys: Some comparability issues and an exploratory survey based on just perceivable increments , 1996 .

[13]  G. Gallup.  Human Needs and Satisfactions A Global Survey , 1976 .

[14]  M. Kendall.  Rank Correlation Methods , 1949 .

[15]  W. Raab.  Antibacterial action of phenanthrene-related substances. , 1946, Science.

[16]  Bruno S. Frey,et al.  Happiness and economics , 2001 .

[17]  H. Cramér.  Mathematical methods of statistics , 1947 .

[18]  C. Graham,et al.  Frustrated Achievers: Winners, Losers, and Subjective Well Being in New Market Economies , 2000 .

[19]  R. Veenhoven.  Die Rückkehr der Ungleichheit in die moderne Gesellschaft , 2002 .

[20]  R. Veenhoven,et al.  INEQUALITY IN HAPPINESS Inequality in countries compared between countries , 1990 .

[21]  THE CROSS-NATIONAL PATTERN OF HAPPINESS: , 2003 .

[22]  H. Cantril,et al.  How nations see each other;: A study in public opinion , 1972 .

[23]  S S Stevens,et al.  On the Theory of Scales of Measurement. , 1946, Science.

[24]  R. Easterlin.  Does Economic Growth Improve the Human Lot? Some Empirical Evidence , 1974 .

[25]  R. Veenhoven,et al.  Inequality-Adjusted Happiness in Nations Egalitarianism and Utilitarianism Married in a New Index of Societal Performance , 2005 .

[26]  A. Sen,et al.  On Economic Inequality , 1999 .

[27]  R. Veenhoven.  Well-Being in the Welfare State: Level Not Higher, Distribution Not More Equitable , 2000 .

[28]  Henri Theil,et al.  Economics and information theory , 1967 .

[29]  E. Diener,et al.  Subjective well-being. The science of happiness and a proposal for a national index. , 2000, The American psychologist.

[30]  R. Veenhoven.  Happiness in Society , 2001 .

[31]  Hadley Cantril,et al.  The pattern of human concerns , 1965 .

[32]  Ada Ferrer-i-Carbonell,et al.  Happiness Quantified: A Satisfaction Calculus Approach , 2004 .

[33]  World database of Happiness: Continuous register of research on subjective appreciation of life , 2004 .

[34]  B. V. Praag,et al.  Ordinal and cardinal utility , 1991 .

[35]  A. Michalos.  Global report on student well-being , 1991 .

[36]  E. S. Keeping,et al.  Introduction to statistical inference , 1958 .

[37]  R. Veenhoven,et al.  Wealth and Happiness Revisited – Growing National Income Does Go with Greater Happiness , 2003 .

[38]  E. S. Keeping,et al.  Introduction to statistical inference , 1958 .

[39]  R. Veenhoven,et al.  Wealth and Happiness Revisited: Growing wealth of nations does go with greater happiness , 2003 .

[40]  D. Champernowne,et al.  On Economic Inequality. , 1974 .

[41]  R. Veenhoven.  Return of Inequality in Modern Society? Test by Dispersion of Life-Satisfaction Across Time and Nations , 2005 .

[42]  B. Frey,et al.  Happiness and Economics: How the Economy and Institutions Affect Human Well-Being , 2003 .

[43]  J. Ott,et al.  Level and Inequality of Happiness in Nations: Does Greater Happiness of a Greater Number Imply Greater Inequality in Happiness? , 2005 .

[44]  P. Frijters,et al.  How Important is Methodology for the Estimates of the Determinants of Happiness? , 2004 .

[45]  J. W. Riley,et al.  How Nations See Each Other. , 1954 .