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• Number of Bedrooms for Two Samples <br /> Families Families Families Families Families Average <br /> lA & lB 2A & 2B 3A & 3B 4A & 4B 5A & 5B <br /> Sample A: 1 3 1 1 4 2 <br /> 0 Children <br /> Sample B: 3 3 3 3 3 3 <br /> 3 Children <br /> Sample A consists of five families with 0 children. Three of these families have housing units <br /> with 1 bedroom, one has a house with 3 bedrooms, and one has a house with 4 bedrooms. <br /> The average number of bedrooms for Sample A is 2 bedrooms per housing unit. Sample B <br /> consists of five families with 3 children. All five of'these families have housing units with 3 <br /> bedrooms. The average number of bedrooms for Sample B is 3 bedrooms per housing unit. <br /> Although the average number of bedrooms is higher for families with 3 children <br /> (Sample B) than for families with 0 children (Sample A), this difference is not meaningful <br /> because the data for Sample A has so much variation in it. Therefore, it would not be accurate <br /> to say that the families with 3 children tend to have housing units with one more bedroom than <br /> the housing units of families with 0 children, even though the average for Sample B is one <br /> greater than the average for Sample A. In this example, the wide variation in the data for <br /> families with 0 children makes the difference between the two averages 'insignificant.' In the <br /> majority of the tests run for this report, the results were insignificant due to the large variation <br /> in the observations. In cases where the data was significant, the difference in the averages was <br /> very small. <br /> The results of the Bonferroni means difference tests were confirmed by an advanced <br /> statistical test called a MANOVA. The MANOVA test was suggested and interpreted by the <br /> staff of the Statistical Analysis lab at the University of North Carolina's Institute for Research <br /> in the Social Sciences. <br /> • <br /> 9 <br />