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Chp 1/1-1_case_study/1-1_case_study.tex

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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\section{Case study}
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Chp 1/1-4_obs_studies_sampling/1-4_obs_studies_sampling.tex

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Randomly select cases from the population, where there is no implied connection between the points that are selected.
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\begin{center}
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\includegraphics[width=0.9\textwidth]{1-4_obs_studies_sampling/figures/sampling_methods/srs}
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\includegraphics[width=0.9\textwidth]{1-4_obs_studies_sampling/figures/sampling_methods/simple}
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\end{center}
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\end{frame}
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\begin{frame}
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\frametitle{Cluster sample}
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\hl{Clusters} are usually not made up of homogeneous observations, and we take a simple random sample from a random sample of clusters. Usually preferred for economical reasons.
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\hl{Clusters} are usually not made up of homogeneous observations. We take a simple random sample of clusters, and then sample \underline{all} observations in that cluster. Usually preferred for economical reasons.
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\begin{center}
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\includegraphics[width=0.9\textwidth]{1-4_obs_studies_sampling/figures/sampling_methods/cluster}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{frame}
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\frametitle{Multistage sample}
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\hl{Clusters} are usually not made up of homogeneous observations. We take a simple random sample of clusters, and then take a simple random sample of observations from the sampled clusters.
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\begin{center}
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\includegraphics[width=0.9\textwidth]{1-4_obs_studies_sampling/figures/sampling_methods/multistage}
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\end{center}
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\end{frame}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{frame}
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\frametitle{Practice}
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Chp 1/1-6_numerical_data/1-6_numerical_data.log

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Chp 1/1-6_numerical_data/1-6_numerical_data.tex

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\item The \hl{median} is the value that splits the data in half when ordered in ascending order.
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\[ 0,1,\red{2},3,4 \]
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\[ 0,1,\orange{2},3,4 \]
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\item If there are an even number of observations, then the median is the average of the two values in the middle.
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\[ 0,1,\underline{2,3},4,5 \rightarrow \frac{2 + 3}{2} = \red{2.5} \]
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\[ 0,1,\underline{2,3},4,5 \rightarrow \frac{2 + 3}{2} = \orange{2.5} \]
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\item Since the median is the midpoint of the data, 50\% of the values are below it. Hence, it is also the \hl{$50^{th}$ percentile}.
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\column{0.3\textwidth}
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$\:$ \\
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$\:$ \\
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\soln{\only<2>{\red{median: 80\% \\ mean: 76\%}}}
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\soln{\only<2>{\orange{median: 80\% \\ mean: 76\%}}}
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\end{columns}
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{\small

Chp 1/chp1.aux

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