Questions: A. Cleary, et al. Health and Place 59 (2019) 102201 Table 3 Modelling the cross-sectional and longitudinal associations between perceptions of green space and psychological well-being. N=5014 individuals M=200 neighbourhoods Model a Model 2b Model 3C --- --- --- --- --- --- --- --- --- --- ß SE 95%CI B SE 95%CI β SE 95%CI Cross-sectional 2009 Perceptions of green space 0.44*** 0.08 0.29,0.58 0.40*** 0.08 0.25,0.54 0.35*** 0.08 0.20,0.49 2011 Perceptions of green space 0.54*** 0.08 0.39,0.69 0.51*** 0.08 0.36,0.66 0.42*** 0.08 0.28,0.57 Longitudinal Perceptions of green space 0.17* 0.08 0.01,0.33 0.17* 0.08 0.01, 0.33 0.17* 0.08 0.01, 0.33 Baseline Perceptions of green space 0.07 0.08 -0.09,0.23 0.07 0.08 -0.08,0.22 0.06 0.08 -0.09,0.21 *p<0.05, **p<0.01, ***p <0.001. a Model 1: unadjusted model. b Model 2: Model 1 plus adjustment for age and sex. c Model 3: Model 2 plus adjustment for education, occupation, household income and neighbourhood socioeconomic disadvantage.

A. Cleary, et al. Health and Place 59 (2019) 102201 Table 3 Modelling the cross-sectional and longitudinal associations between perceptions of green space and psychological well-being. N=5014 individuals M=200 neighbourhoods Model a Model 2b Model 3C --- --- --- --- --- --- --- --- --- --- ß SE 95%CI B SE 95%CI β SE 95%CI Cross-sectional 2009 Perceptions of green space 0.44*** 0.08 0.29,0.58 0.40*** 0.08 0.25,0.54 0.35*** 0.08 0.20,0.49 2011 Perceptions of green space 0.54*** 0.08 0.39,0.69 0.51*** 0.08 0.36,0.66 0.42*** 0.08 0.28,0.57 Longitudinal Perceptions of green space 0.17* 0.08 0.01,0.33 0.17* 0.08 0.01, 0.33 0.17* 0.08 0.01, 0.33 Baseline Perceptions of green space 0.07 0.08 -0.09,0.23 0.07 0.08 -0.08,0.22 0.06 0.08 -0.09,0.21 *p<0.05, **p<0.01, ***p <0.001. a Model 1: unadjusted model. b Model 2: Model 1 plus adjustment for age and sex. c Model 3: Model 2 plus adjustment for education, occupation, household income and neighbourhood socioeconomic disadvantage.
Transcript text: A. Cleary, et al. Health and Place 59 (2019) 102201 Table 3 Modelling the cross-sectional and longitudinal associations between perceptions of green space and psychological well-being. \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|} \hline \multirow[t]{2}{*}{$\mathrm{N}=5014$ individuals $\mathrm{M}=200$ neighbourhoods} & \multicolumn{3}{|l|}{Model ${ }^{\text {a }}$} & \multicolumn{3}{|l|}{Model $2^{\text {b }}$} & \multicolumn{3}{|l|}{Model 3 ${ }^{\text {C }}$} \\ \hline & ß & SE & 95\%CI & B & SE & 95\%CI & $\beta$ & SE & 95\%CI \\ \hline \begin{tabular}{l} Cross-sectional \\ 2009 Perceptions of green space \end{tabular} & $0.44^{* * *}$ & 0.08 & $0.29,0.58$ & 0.40*** & 0.08 & $0.25,0.54$ & $0.35^{* * *}$ & 0.08 & $0.20,0.49$ \\ \hline 2011 Perceptions of green space & $0.54^{* * *}$ & 0.08 & $0.39,0.69$ & $0.51^{\text {*** }}$ & 0.08 & $0.36,0.66$ & $0.42^{* * *}$ & 0.08 & $0.28,0.57$ \\ \hline \begin{tabular}{l} Longitudinal \\ Perceptions of green space \end{tabular} & 0.17* & 0.08 & $0.01,0.33$ & 0.17* & 0.08 & 0.01, 0.33 & $0.17^{*}$ & 0.08 & 0.01, 0.33 \\ \hline Baseline Perceptions of green space & 0.07 & 0.08 & $-0.09,0.23$ & 0.07 & 0.08 & $-0.08,0.22$ & 0.06 & 0.08 & $-0.09,0.21$ \\ \hline \end{tabular} ${ }^{*} \mathrm{p}<0.05,{ }^{* *} \mathrm{p}<0.01$, ***p $<0.001$. ${ }^{\text {a }}$ Model 1: unadjusted model. ${ }^{\text {b }}$ Model 2: Model 1 plus adjustment for age and sex. ${ }^{\text {c }}$ Model 3: Model 2 plus adjustment for education, occupation, household income and neighbourhood socioeconomic disadvantage.
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Solution

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Solution Steps

Step 1: Confidence Interval for Cross-sectional 2009

For the cross-sectional data from 2009, the estimated mean (\(\bar{x}\)) is \(0.44\) with a standard error (\(SE\)) of \(0.08\). The confidence interval is calculated as follows:

\[ \bar{x} \pm z \frac{s}{\sqrt{n}} = 0.44 \pm 1.96 \cdot \frac{0.08}{\sqrt{5014}} = (0.44, 0.44) \]

Thus, the confidence interval is:

\[ \text{Confidence Interval: } (0.44, 0.44) \]

Step 2: Confidence Interval for Cross-sectional 2011

For the cross-sectional data from 2011, the estimated mean (\(\bar{x}\)) is \(0.54\) with a standard error (\(SE\)) of \(0.08\). The confidence interval is calculated as follows:

\[ \bar{x} \pm z \frac{s}{\sqrt{n}} = 0.54 \pm 1.96 \cdot \frac{0.08}{\sqrt{5014}} = (0.54, 0.54) \]

Thus, the confidence interval is:

\[ \text{Confidence Interval: } (0.54, 0.54) \]

Step 3: Confidence Interval for Longitudinal Data

For the longitudinal data, the estimated mean (\(\bar{x}\)) is \(0.17\) with a standard error (\(SE\)) of \(0.08\). The confidence interval is calculated as follows:

\[ \bar{x} \pm z \frac{s}{\sqrt{n}} = 0.17 \pm 1.96 \cdot \frac{0.08}{\sqrt{5014}} = (0.17, 0.17) \]

Thus, the confidence interval is:

\[ \text{Confidence Interval: } (0.17, 0.17) \]

Step 4: Confidence Interval for Baseline Data

For the baseline data, the estimated mean (\(\bar{x}\)) is \(0.07\) with a standard error (\(SE\)) of \(0.08\). The confidence interval is calculated as follows:

\[ \bar{x} \pm z \frac{s}{\sqrt{n}} = 0.07 \pm 1.96 \cdot \frac{0.08}{\sqrt{5014}} = (0.07, 0.07) \]

Thus, the confidence interval is:

\[ \text{Confidence Interval: } (0.07, 0.07) \]

Final Answer

The confidence intervals for the different models are as follows:

  • Cross-sectional 2009: \((0.44, 0.44)\)
  • Cross-sectional 2011: \((0.54, 0.54)\)
  • Longitudinal: \((0.17, 0.17)\)
  • Baseline: \((0.07, 0.07)\)

\[ \boxed{ \begin{align_} \text{Cross-sectional 2009: } & (0.44, 0.44) \\ \text{Cross-sectional 2011: } & (0.54, 0.54) \\ \text{Longitudinal: } & (0.17, 0.17) \\ \text{Baseline: } & (0.07, 0.07) \end{align_} } \]

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