Comparing living standards between countries requires a measure that captures more than just output. The Human Development Index (HDI) is a leading candidate, but whether it is the best measure is open to debate.
The case for the HDI. The HDI is a composite index combining income (GNI per head at PPP), education (years of schooling) and health (life expectancy) into a single number from 0 to 1. This is a clear improvement on GDP per head, because it recognises that development is multidimensional — two countries with the same income can have very different health and education, and the HDI captures that. It is widely published, comparable across countries, and uses PPP-adjusted income so cost-of-living differences are allowed for. It therefore gives a fuller, more balanced comparison of living standards than income alone.
The limitations of the HDI. First, it still omits important dimensions: it ignores inequality (two countries with the same average HDI can have very different distributions), the environment, political freedoms, security and gender equality. Second, it relies on just three proxies, each imperfect (years of schooling does not measure quality of education; life expectancy does not capture morbidity). Third, the weighting of the three components is a value judgement. Fourth, like all such measures it depends on data quality, which varies between countries, and the large informal sector in developing economies is hard to measure.
Alternative and complementary measures. Because of these gaps, other measures may be better for particular purposes: the Multidimensional Poverty Index (MPI) captures the depth and breadth of poverty across several deprivations; the Gini coefficient captures inequality; the MEW adjusts GDP for welfare 'goods' and 'bads'; and non-monetary indicators (clean water, sanitation) capture specific conditions. An inequality-adjusted HDI exists precisely because the standard HDI ignores distribution.
Judgement. The HDI is better than GDP per head as a measure of living standards because it is multidimensional, and it is a very useful headline measure — so the view has real merit. But it is not the single best measure, because it omits inequality, the environment and freedoms, and rests on value judgements about weighting. The most defensible conclusion is that there is no single best measure: the HDI should be used alongside the MPI, the Gini coefficient and selected non-monetary indicators, so that income, health, education, poverty and distribution are all considered. For comparing living standards specifically, a basket of indicators led by the HDI is better than relying on the HDI — or GDP — alone.