A majority of the largest increases in disparity were job or income related, including median weekly income, personal income distribution, unemployment, employment and proportion receiving an income-tested benefit, the study found.
Other increases were in cigarette smoking, obesity, suicide, proportion of the population with a Bachelor's degree or higher and internet access in the home as well.
Decreasing gaps were found in some areas, including life expectancy at birth, infant morality and early childhood education participation.
Education was improving for Maori people, with a greater number leaving school with a minimum of NCEA Level 2 or equivalent, but the gap between European and Pacific education was increasing.
The only measure where a gap no longer existed was in rates of tertiary education participation, Dr Marriott said.
"Although participation has increased for all ethnic groups, there has been such a large increase for Maori and Pacific people that participation rates are now similar," she said.
The only measure that suggested worsening outcomes for Europeans was housing affordability.
"This measure relates to the proportion of households of that ethnic group where housing costs are at least 30 per cent of disposable income," Dr Marriott said.
"Statistics show this worsening for European households and improving for Maori and Pacific households, although on the whole European households are still better off."
Household crowding, which was defined as a household where at least one more bedroom was required, had decreased for all ethnic groups.