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The Economist (2015-07-16):

But Singapore measures its coefficient rather differently, excluding shorter-term foreign workers and non-working families.

More generally, how is Singapore's Gini coefficient computed? To what extent is it comparable (or not comparable) to those reported by other countries?

In June 2020, there were 940,200 Work Permit holders, of which 252,600 were "Work Permit (FDW)" holders (i.e. maids) and 351,800 were "Work Permit (CMP sectors)" holders ("Construction, Marine Shipyard and Processes).

In mid-2019, Singapore's total population was 5.7M.

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Yes. Singapore's reported Gini coefficient estimates are for "resident employed households" only, meaning

a household where the household reference person is a resident (i.e. Singapore citizen or permanent resident), and with at least one working person. Household income from work refers to the sum of income received by working members of the household from employment and business. However, it does not include the income of maids. Household income from work includes employer Central Provident Fund (CPF) contributions. Monthly household income from work includes one-twelfth of annual bonus.

Most of the 351,800 "Work Permit (CMP sectors)" holders do not share their "household" with any Singapore citizen/PR. (Indeed, most live in dorms.) So yes, they are excluded from Singapore's computation of the Gini coefficient.

However, many of the 252,600 "Work Permit (FDW)" holders or maids do share their "household" with a Singapore citizen/PR. So, I believe (but am not entirely sure) many are included as part of household sizes, but as noted above, their incomes are not included as part of household incomes.

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More generally, how is Singapore's Gini coefficient computed?

According to the Singapore's ministry of finance (MOF):

Singapore’s Gini coefficient is typically reported based on household income from work per household member. The calculation by the Organisation for Economic Co-operation and Development (OECD) is based on the Square Root Scale. ...

... Singapore’s Gini is based on household income from work whereas data on OECD economies is based on income from all sources (which includes non-work income from investments and property).

Their full report on "Income Growth, Distribution and Mobility Trends in Singapore" has more details and you can find even more details in the sources reported therein.

To what extent is it comparable (or not comparable) to those reported by other countries?

There is no simple way of measuring 'comparability'. Generally speaking, any income distribution related cross-country comparisons are problematic and can't be taken at a face value even if the final statistics comes from the same source where the same methodology is followed (like OECD/World Bank) because even if the same methodology is followed when constructing the inequality statistics the raw data that are produced on national level might have some systemic biases as the data come from either household surveys or tax records and different countries might systematically differ in their response rate, rates of tax evasion and other sampling problems/errors (see discussion of this in Atkinson's Inequality book).

This being said despite above difficulties scientists use these statistics in cross-country comparisons (see one such example in Frazer; 2006). So as long as you just don't take these statistics at face value they are still useful for research purposes and also just plain international comparisons. As in the Economist article you linked you can make reasonable guesses about how the differences in methodology or any underlaying data issues affect the statistics and take that into account.

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