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Key findings from the 2009 New Zealand ... - Ministry of Health

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For example, <strong>the</strong> survey only covered <strong>the</strong> usually resident population aged 15–64 years<br />

living in permanent private dwellings. It did not include people living in institutions (such<br />

as prisons, hospitals, rest homes and boarding schools) and <strong>the</strong> homeless. Given that<br />

<strong>the</strong>se groups are not included in <strong>the</strong> analyses, <strong>the</strong> estimated population numbers<br />

presented in this report will generally be slight underestimates <strong>of</strong> <strong>the</strong> numbers affected<br />

in <strong>the</strong> entire resident population <strong>of</strong> <strong>New</strong> <strong>Zealand</strong>. Table 2 in Chapter 4 presents an<br />

estimate <strong>of</strong> <strong>the</strong> undercount <strong>of</strong> <strong>the</strong> number <strong>of</strong> current smokers in <strong>New</strong> <strong>Zealand</strong>, as<br />

measured by <strong>2009</strong> NZTUS using data <strong>from</strong> <strong>the</strong> 2006 <strong>New</strong> <strong>Zealand</strong> Census (which<br />

includes private and non-private dwellings).<br />

Sampling errors for survey estimates <strong>from</strong> this survey were calculated using a replicate<br />

method, called <strong>the</strong> delete-a-group jackknife method (Kott 1998).<br />

95% confidence intervals for prevalence estimates<br />

Ninety-five percent confidence intervals (95% CIs) have been used in this report to<br />

quantify <strong>the</strong> sampling errors for estimates. It should be noted that <strong>the</strong> confidence<br />

interval is influenced by <strong>the</strong> sample size <strong>of</strong> <strong>the</strong> group. When <strong>the</strong> sample size is small,<br />

<strong>the</strong> confidence interval becomes wider.<br />

Ninety-five percent confidence intervals have been presented in brackets after<br />

estimates in <strong>the</strong> text and as error bars in graphs. When <strong>the</strong> confidence intervals <strong>of</strong> two<br />

groups do not overlap, <strong>the</strong> difference in rates between <strong>the</strong> groups is statistically<br />

significant at <strong>the</strong> 5% level.<br />

Sometimes, even when <strong>the</strong>re are overlapping confidence intervals, <strong>the</strong> difference<br />

between <strong>the</strong> groups being compared can still be statistically significant at <strong>the</strong> 5% level.<br />

In instances where <strong>the</strong>re was a small overlap between groups (indicating possible<br />

significance), t-tests were conducted to determine whe<strong>the</strong>r <strong>the</strong> apparent difference<br />

between groups is significant. Statistically significant differences at <strong>the</strong> 5% level <strong>of</strong><br />

significance are indicated in <strong>the</strong> text by ‘p-value < 0.05’.<br />

When a linear pattern was evident in a bar graph, but no significant differences were<br />

found between bars, <strong>the</strong> significance <strong>of</strong> <strong>the</strong> gradient was tested using logistic<br />

regression. No variables were controlled for in <strong>the</strong> logistic regression.<br />

95% confidence intervals for rate ratios<br />

In rate ratio graphs, <strong>the</strong> 95% CIs are presented as vertical lines on <strong>the</strong> graph. If <strong>the</strong><br />

confidence interval includes 1, <strong>the</strong>n <strong>the</strong>re is no statistically significant difference<br />

between <strong>the</strong> rate ratio for that particular group and <strong>the</strong> reference group. If <strong>the</strong> 95% CI<br />

does not include 1, <strong>the</strong>n <strong>the</strong> rate ratio is statistically significant (ie, <strong>the</strong>re is a significant<br />

difference between <strong>the</strong> group <strong>of</strong> interest and <strong>the</strong> reference group). For more<br />

information, see <strong>the</strong> example rate ratio graph at <strong>the</strong> end <strong>of</strong> this chapter.<br />

Statistical significance<br />

In this report <strong>the</strong> term ‘significant’ (or ‘significance’) is used to refer to statistical<br />

significance.<br />

Tobacco Use in <strong>New</strong> <strong>Zealand</strong> 5

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