Correlational finding on Happiness and Number of persons in household
Subject code: H20ab03

StudyDavis (1984): study US 1972
TitleNew Money, an Old Man/Lady and Two's Company: Subjective Welfare in the NORC General Social Surveys 1972-1982.
SourceSocial Indicators Research, 1984, Vol. 15, 319 - 350.
DOIDOI:10.1007/BF00351443
Public18+ aged, general public, USA, 1972-1982
Sample
Non-Response
Respondents N =13581

Correlate
Author's labelHousehold size
Page in Source 330
Our classificationNumber of persons in household, code H20ab03
Operationalization
0 1
1 2
2 3
3 4
4 5 or more

Observed Relation with Happiness
Happiness
Measure
StatisticsElaboration/Remarks
O-HL-g-sq-v-3-dG=-.46 p < .05
O-HL-g-sq-v-3-dtau=-.34 p < .05
% very happy
0      23
1      41
2      34
3      36
4      34
The relationship disappears largely after control 
for marital status, race, social participation and 
recent change in income.


Appendix 1: Happiness measures used
CodeFull Text
O-HL-g-sq-v-3-dSelfreport on single question:

Generally speaking, how happy would you say you are.....?
3 very happy
2 fairly happy
1 not too happy


Appendix 2: Statistics used
SymbolExplanation
GGOODMAN & Kruskal's GAMMA
Type: test statistic
Measurement level: Correlate: ordinal, Happinessl: ordinal
Range: [-1; +1]

Meaning:
G = 0 no rank correlation
G = +1 strongest possible rank correlation, where high correlate values correspond to high happiness ratings.
G = -1 strongest possible rank correlation, where high correlate values correspond with low happiness ratings.
tauGOODMAN & Kruskal's TAU
Type: descriptive statistic only.
Measurement level: Correlate: nominal, Happiness: ordinal
Range: [0; +1]

Meaning:
tau = 0 knowledge of the correlate value does not improve the prediction quality of the happiness rating.
tau = 1 knowledge of the correlate value enables a perfect (error-free) prediction of the happiness rating.
Source:
Ruut Veenhoven, World Database of Happiness, Collection of Correlational Findings, Erasmus University Rotterdam.
https://worlddatabaseofhappiness.eur.nl