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epresentative of a known population. The conclusion was that the survey respondents as a<br />

group were representative of the population of multi-<strong>family</strong> homes from which they were drawn<br />

across the 13 study sites. This section of the report details these quality assurance statistical<br />

analyses.<br />

Comparison of Postcard Survey Respondents with Sample Frame<br />

The initial sample frame was the set of all multi-<strong>family</strong> properties in each participating<br />

study site (identified through the utility customer information system) that had more than 10<br />

dwelling units <strong>and</strong>/or water use greater than 200 kgal in 2001. Postcard surveys were sent to all<br />

multi-<strong>family</strong> properties meeting these basic criteria. Quality assurance tests were conducted on<br />

entire group of respondents <strong>and</strong> on the sample of properties from each study site that returned the<br />

postcard survey to determine whether the water use characteristics of the postcard survey<br />

respondents were statistically similar to the population of multi-<strong>family</strong> water use accounts<br />

provided by the utilities (sample frame). To compare the respondents with the population,<br />

statistical tests were used to determine whether statistically significant differences existed in<br />

water use characteristics among the two groups.<br />

A z-test was conducted at a 95 percent confidence level to determine if there was a<br />

statistically significant difference in the mean annual water use of respondents versus nonrespondents<br />

or versus the population (Test 1 in Table 3.7). The most important comparison<br />

evaluated 2001 water use for the entire sample frame (n=19,495) with 2001 water use for the<br />

postcard survey respondents (n=7,972). The water use in these two groups was found to be<br />

statistically similar (i.e. not different) at a 95% confidence level. This means that on the basis of<br />

water use alone the postcard survey respondents were representative of the population of multi<strong>family</strong><br />

homes found in these 13 study sites.<br />

Statistical comparison tests (Test 1 in Table 3.7) were performed for each participating<br />

study site. Also, if the participating utility provided the number of units from their customer<br />

information system, additional z-tests were conducted to determine if there were statistically<br />

significant differences between the average water use per unit (Test 2 in Table 3.7). Summary<br />

results of these tests are presented in Table 3.7. There were no statistically significant differences<br />

between the water use characteristics of the study groups except for Las Vegas where the<br />

postcard survey respondents has lower average annual water use. The research team was able to<br />

49

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