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or family household
is defined by the United States Census Bureau
The United States Census Bureau is the government agency that is responsible for the United States Census. It also gathers other national demographic and economic data...
for statistical purposes as "a householder and one or more other people related to the householder by birth, marriage, or adoption. They do not include same-sex married couples even if the marriage was performed in a state issuing marriage certificates for same-sex couples. Same-sex couple households are included in the family households category if there is at least one additional person related to the householder by birth or adoption. Same-sex couple households with no relatives of the householder present are tabulated in nonfamily households."
Hence, households consisting of grandparents and grandchildren without the intervening generation are not "families", nor are same-sex married couples even where such marriages are recognized, nor unmarried opposite-sex partners (POSSLQ
POSSLQ is an abbreviation for "Persons of Opposite Sex Sharing Living Quarters," a term coined in the late 1970s by the United States Census Bureau as part of an effort to more accurately gauge the prevalence of cohabitation in American households....