Household budget survey data on month expenditures of twenty men and twenty women for four commodity groups: housing, foodstuffs, other, and services. Amounts in HK-Dollar are given. There are 40 cases and 5 variables for 4 commodity groups and sex.
data(HouseholdExp)
In a sample survey of people living alone in a rented accommodation, twenty men and twenty women were randomly selected and asked to record over a period of one month their expenditures on the following four mutually exclusive and exhaustive commodity groups: Housing, including fuel and lights, Foodstuffs, including alcohol and tobacco, Other goods, including clothing, footwear and durable goods, and Services, including transport and vehicles. Amounts in HK-Dollar are given. There are 40 cases, 20 men and 20 women and 5 variables: 4 for commodity groups Housing, Food, Other, Services and the fifth sex, $+1$ for men, $-1$ for women. Note that the data has no sum constraint.
Aitchison (1986): The Statistical Analysis of Compositional Data, (Data 08), pp13.