@@ -703,7 +703,7 @@ <h2>Matching in R (ATM)</h2>
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< h2 > < em > Your Turn 1</ em > </ h2 >
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< div class ="cell " data-layout-align ="center ">
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< div class ="cell-output-display ">
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- < div class ="countdown " id ="timer_23d23eeb " data-update-every ="1 " tabindex ="0 " style ="right:0;bottom:0; ">
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+ < div class ="countdown " id ="timer_3820d331 " data-update-every ="1 " tabindex ="0 " style ="right:0;bottom:0; ">
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< div class ="countdown-controls "> < button class ="countdown-bump-down "> −</ button > < button class ="countdown-bump-up "> +</ button > </ div >
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< code class ="countdown-time "> < span class ="countdown-digits minutes "> 10</ span > < span class ="countdown-digits colon "> :</ span > < span class ="countdown-digits seconds "> 00</ span > </ code >
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</ div >
@@ -723,65 +723,82 @@ <h2>Propensity scores</h2>
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< h2 > Target estimands: ATE</ h2 >
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< p > Average Treatment Effect (ATE)</ p >
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< p > < span class ="math display "> \[\Large w_{ATE} = \frac{Z_i}{p_i} + \frac{1-Z_i}{1 - p_i}\]</ span > </ p >
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+ < div class ="cell " data-layout-align ="center ">
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+ < div class ="sourceCode cell-code " id ="cb11 "> < pre class ="sourceCode numberSource r number-lines code-with-copy "> < code class ="sourceCode r "> < span id ="cb11-1 "> < a href ="#cb11-1 "> </ a > (Z < span class ="sc "> /</ span > p) < span class ="sc "> +</ span > ((< span class ="dv "> 1</ span > < span class ="sc "> -</ span > Z) < span class ="sc "> /</ span > (< span class ="dv "> 1</ span > < span class ="sc "> -</ span > p))</ span > </ code > < button title ="Copy to Clipboard " class ="code-copy-button "> < i class ="bi "> </ i > </ button > </ pre > </ div >
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+ </ div >
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</ section >
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< section id ="target-estimands-att-atc " class ="slide level2 " data-background-color ="#23373B ">
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< h2 > Target estimands: ATT & ATC</ h2 >
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< div class ="fragment ">
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< p > Average Treatment Effect Among the Treated (ATT) < span class ="math display "> \[\Large w_{ATT} = \frac{p_i Z_i}{p_i} + \frac{p_i (1-Z_i)}{1-p_i}\]</ span > </ p >
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+ < div class ="cell " data-layout-align ="center ">
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+ < div class ="sourceCode cell-code " id ="cb12 "> < pre class ="sourceCode numberSource r number-lines code-with-copy "> < code class ="sourceCode r "> < span id ="cb12-1 "> < a href ="#cb12-1 "> </ a > ((p < span class ="sc "> *</ span > Z) < span class ="sc "> /</ span > p) < span class ="sc "> +</ span > ((p < span class ="sc "> *</ span > (< span class ="dv "> 1</ span > < span class ="sc "> -</ span > Z)) < span class ="sc "> /</ span > (< span class ="dv "> 1</ span > < span class ="sc "> -</ span > p))</ span > </ code > < button title ="Copy to Clipboard " class ="code-copy-button "> < i class ="bi "> </ i > </ button > </ pre > </ div >
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</ div >
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- < div class ="fragment ">
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+ </ div >
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+ </ section >
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+ < section id ="target-estimands-att-atc-1 " class ="slide level2 " data-background-color ="#23373B ">
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+ < h2 > Target estimands: ATT & ATC</ h2 >
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< p > Average Treatment Effect Among the Controls (ATC) < span class ="math display "> \[\Large w_{ATC} = \frac{(1-p_i)Z_i}{p_i} + \frac{(1-p_i)(1-Z_i)}{(1-p_i)}\]</ span > </ p >
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+ < div class ="cell " data-layout-align ="center ">
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+ < div class ="sourceCode cell-code " id ="cb13 "> < pre class ="sourceCode numberSource r number-lines code-with-copy "> < code class ="sourceCode r "> < span id ="cb13-1 "> < a href ="#cb13-1 "> </ a > (((< span class ="dv "> 1</ span > < span class ="sc "> -</ span > p) < span class ="sc "> *</ span > Z) < span class ="sc "> /</ span > p) < span class ="sc "> +</ span > (((< span class ="dv "> 1</ span > < span class ="sc "> -</ span > p) < span class ="sc "> *</ span > (< span class ="dv "> 1</ span > < span class ="sc "> -</ span > Z)) < span class ="sc "> /</ span > (< span class ="dv "> 1</ span > < span class ="sc "> -</ span > p))</ span > </ code > < button title ="Copy to Clipboard " class ="code-copy-button "> < i class ="bi "> </ i > </ button > </ pre > </ div >
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</ div >
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</ section >
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< section id ="target-estimands-atm-ato " class ="slide level2 " data-background-color ="#23373B ">
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< h2 > Target estimands: ATM & ATO</ h2 >
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< div class ="fragment ">
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< p > Average Treatment Effect Among the Evenly Matchable (ATM) < span class ="math display "> \[\Large w_{ATM} = \frac{\min \{p_i, 1-p_i\}}{Z_ip_i + (1-Z_i)(1-p_i)}\]</ span > </ p >
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+ < div class ="cell " data-layout-align ="center ">
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+ < div class ="sourceCode cell-code " id ="cb14 "> < pre class ="sourceCode numberSource r number-lines code-with-copy "> < code class ="sourceCode r "> < span id ="cb14-1 "> < a href ="#cb14-1 "> </ a > < span class ="fu "> pmin</ span > (p, < span class ="dv "> 1</ span > < span class ="sc "> -</ span > p) < span class ="sc "> /</ span > (Z < span class ="sc "> *</ span > p < span class ="sc "> +</ span > (< span class ="dv "> 1</ span > < span class ="sc "> -</ span > Z) < span class ="sc "> *</ span > (< span class ="dv "> 1</ span > < span class ="sc "> -</ span > p))</ span > </ code > < button title ="Copy to Clipboard " class ="code-copy-button "> < i class ="bi "> </ i > </ button > </ pre > </ div >
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</ div >
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- < div class ="fragment ">
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+ </ div >
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+ </ section >
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+ < section id ="target-estimands-atm-ato-1 " class ="slide level2 " data-background-color ="#23373B ">
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+ < h2 > Target estimands: ATM & ATO</ h2 >
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< p > Average Treatment Effect Among the Overlap Population < span class ="math display "> \[\Large w_{ATO} = (1-p_i)Z_i + p_i(1-Z_i)\]</ span > </ p >
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+ < div class ="cell " data-layout-align ="center ">
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+ < div class ="sourceCode cell-code " id ="cb15 "> < pre class ="sourceCode numberSource r number-lines code-with-copy "> < code class ="sourceCode r "> < span id ="cb15-1 "> < a href ="#cb15-1 "> </ a > (< span class ="dv "> 1</ span > < span class ="sc "> -</ span > p) < span class ="sc "> *</ span > Z < span class ="sc "> +</ span > p < span class ="sc "> *</ span > (< span class ="dv "> 1</ span > < span class ="sc "> -</ span > Z)</ span > </ code > < button title ="Copy to Clipboard " class ="code-copy-button "> < i class ="bi "> </ i > </ button > </ pre > </ div >
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</ div >
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</ section >
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< section id ="histogram-of-propensity-scores " class ="slide level2 ">
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< h2 > Histogram of propensity scores</ h2 >
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- < img data-src ="07-using-pscores_files/figure-revealjs/unnamed-chunk-14 -1.png " style ="width:80.0% " class ="r-stretch quarto-figure-center "> </ section >
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+ < img data-src ="07-using-pscores_files/figure-revealjs/unnamed-chunk-19 -1.png " style ="width:80.0% " class ="r-stretch quarto-figure-center "> </ section >
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< section id ="ate " class ="slide level2 ">
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< h2 > ATE</ h2 >
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- < img data-src ="07-using-pscores_files/figure-revealjs/unnamed-chunk-15 -1.png " style ="width:80.0% " class ="r-stretch quarto-figure-center "> </ section >
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+ < img data-src ="07-using-pscores_files/figure-revealjs/unnamed-chunk-20 -1.png " style ="width:80.0% " class ="r-stretch quarto-figure-center "> </ section >
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< section id ="att " class ="slide level2 ">
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< h2 > ATT</ h2 >
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- < img data-src ="07-using-pscores_files/figure-revealjs/unnamed-chunk-16 -1.png " style ="width:80.0% " class ="r-stretch quarto-figure-center "> </ section >
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+ < img data-src ="07-using-pscores_files/figure-revealjs/unnamed-chunk-21 -1.png " style ="width:80.0% " class ="r-stretch quarto-figure-center "> </ section >
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< section id ="atc " class ="slide level2 ">
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< h2 > ATC</ h2 >
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- < img data-src ="07-using-pscores_files/figure-revealjs/unnamed-chunk-17 -1.png " style ="width:80.0% " class ="r-stretch quarto-figure-center "> </ section >
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+ < img data-src ="07-using-pscores_files/figure-revealjs/unnamed-chunk-22 -1.png " style ="width:80.0% " class ="r-stretch quarto-figure-center "> </ section >
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< section id ="atm " class ="slide level2 ">
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< h2 > ATM</ h2 >
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- < img data-src ="07-using-pscores_files/figure-revealjs/unnamed-chunk-18 -1.png " style ="width:80.0% " class ="r-stretch quarto-figure-center "> </ section >
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+ < img data-src ="07-using-pscores_files/figure-revealjs/unnamed-chunk-23 -1.png " style ="width:80.0% " class ="r-stretch quarto-figure-center "> </ section >
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< section id ="ato " class ="slide level2 ">
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< h2 > ATO</ h2 >
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- < img data-src ="07-using-pscores_files/figure-revealjs/unnamed-chunk-19 -1.png " style ="width:80.0% " class ="r-stretch quarto-figure-center "> </ section >
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+ < img data-src ="07-using-pscores_files/figure-revealjs/unnamed-chunk-24 -1.png " style ="width:80.0% " class ="r-stretch quarto-figure-center "> </ section >
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< section id ="ate-in-r " class ="slide level2 ">
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< h2 > ATE in R < img data-src ="img/hex/propensity.png " class ="absolute " style ="top: 0px; right: 0px; width: 140px; "> </ h2 >
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< p > < br > </ p >
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< p > Average Treatment Effect (ATE) < span class ="math inline "> \(w_{ATE} = \frac{Z_i}{p_i} + \frac{1-Z_i}{1 - p_i}\)</ span > </ p >
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< div class ="cell " data-layout-align ="center ">
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- < div class ="sourceCode cell-code " id ="cb11 " data-code-line-numbers ="|4 "> < pre class ="sourceCode numberSource r number-lines code-with-copy "> < code class ="sourceCode r "> < span id ="cb11 -1 "> < a href ="#cb11 -1 "> </ a > < span class ="fu "> library</ span > (propensity)</ span >
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- < span id ="cb11 -2 "> < a href ="#cb11 -2 "> </ a > df < span class ="ot "> <-</ span > propensity_model < span class ="sc "> |></ span > </ span >
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- < span id ="cb11 -3 "> < a href ="#cb11 -3 "> </ a > < span class ="fu "> augment</ span > (< span class ="at "> type.predict =</ span > < span class ="st "> "response"</ span > , < span class ="at "> data =</ span > nhefs_complete) < span class ="sc "> |></ span > </ span >
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- < span id ="cb11 -4 "> < a href ="#cb11 -4 "> </ a > < span class ="fu "> mutate</ span > (< span class ="at "> w_ate =</ span > < span class ="fu "> wt_ate</ span > (.fitted, qsmk)) </ span > </ code > < button title ="Copy to Clipboard " class ="code-copy-button "> < i class ="bi "> </ i > </ button > </ pre > </ div >
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+ < div class ="sourceCode cell-code " id ="cb16 " data-code-line-numbers ="|4 "> < pre class ="sourceCode numberSource r number-lines code-with-copy "> < code class ="sourceCode r "> < span id ="cb16 -1 "> < a href ="#cb16 -1 "> </ a > < span class ="fu "> library</ span > (propensity)</ span >
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+ < span id ="cb16 -2 "> < a href ="#cb16 -2 "> </ a > df < span class ="ot "> <-</ span > propensity_model < span class ="sc "> |></ span > </ span >
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+ < span id ="cb16 -3 "> < a href ="#cb16 -3 "> </ a > < span class ="fu "> augment</ span > (< span class ="at "> type.predict =</ span > < span class ="st "> "response"</ span > , < span class ="at "> data =</ span > nhefs_complete) < span class ="sc "> |></ span > </ span >
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+ < span id ="cb16 -4 "> < a href ="#cb16 -4 "> </ a > < span class ="fu "> mutate</ span > (< span class ="at "> w_ate =</ span > < span class ="fu "> wt_ate</ span > (.fitted, qsmk)) </ span > </ code > < button title ="Copy to Clipboard " class ="code-copy-button "> < i class ="bi "> </ i > </ button > </ pre > </ div >
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</ div >
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</ section >
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< section id ="your-turn " class ="slide level2 ">
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< h2 > < em > Your Turn</ em > </ h2 >
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< div class ="cell " data-layout-align ="center ">
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< div class ="cell-output-display ">
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- < div class ="countdown " id ="timer_b9f62b3b " data-update-every ="1 " tabindex ="0 " style ="right:0;bottom:0; ">
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+ < div class ="countdown " id ="timer_5ab3ca30 " data-update-every ="1 " tabindex ="0 " style ="right:0;bottom:0; ">
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< div class ="countdown-controls "> < button class ="countdown-bump-down "> −</ button > < button class ="countdown-bump-up "> +</ button > </ div >
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< code class ="countdown-time "> < span class ="countdown-digits minutes "> 10</ span > < span class ="countdown-digits colon "> :</ span > < span class ="countdown-digits seconds "> 00</ span > </ code >
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</ div >
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