. Are married people not as happy as those that are divorced, never married, sep

Question

. Are married people not as happy as those that are divorced, never married, separated, or widowed? The 2008 GSS survey collected data on general happiness across several marital statuses. Happiness was measured on a scale of 1 to 3. In the data set, the variable marital status had the groups: divorced, married, never married, separated, and widowed. Analyze the data using One-Way ANOVA.

Status n x s

Separated 70, 2.1000, 0.6404,

Never Married 528, 2.0417, 0.6506

Widowed 163, 2.0368, 0.6468

Divorced 280, 1.9964, 0.6307

Married 969, 1.6729, 0.6227

Explanation / Answer

here we calcuted sum of square due to group(SSTR) and error(SSE) with

null hypotheseis H0: all means are same and

alternate hypothesis H1: at least one mean differ from others

SSTR=sum(nj(xj--x-)2 =805.4677

SSE=sum((nj-1)sj2)=65.6884

since calcualted F is more than critical F so we reject H0

following information have been genrated using ms-excel from the given data

x-=sum( nj*xj-)/sum(nj)=3737.0481/2010=1.8592

Anova source df SS MS F F-critical group 4 805.4677 201.366925 6146.301092 2.376366 error 2005 65.6884 0.032762294 total 2009

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