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Results.html
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<html>
<head>
<meta charset="utf-8" />
<meta name="generator" content="pandoc" />
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<meta name="author" content="Tobias Schnabel" />
<title>Simulation Results</title>
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<div class="container-fluid main-container">
<div id="header">
<h1 class="title toc-ignore">Simulation Results</h1>
<h4 class="author">Tobias Schnabel</h4>
<h4 class="date">Last compiled on January 02, 2024</h4>
</div>
<style type="text/css">
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<div id="instructions-to-replicate-can-be-found-here"
class="section level2">
<h2>Instructions to replicate can be found <a
href="https://github.com/tobias-schnabel/matrix-completion/blob/main/Replication.md">here</a></h2>
</div>
<div id="full-thesis-can-be-found-here" class="section level1">
<h1>Full thesis can be found <a
href="https://github.com/tobias-schnabel/matrix-completion/blob/main/Thesis_Schnabel.pdf">here</a></h1>
</div>
<div id="dgp-1-one-treatment-group-te-is-unit-and-time--homogeneous"
class="section level1">
<h1>DGP 1: One treatment group, TE is unit-and time- homogeneous,</h1>
<div id="periods" class="section level2">
<h2>100 periods</h2>
<p><img src="Results_files/figure-html/Sim1,%20100-1.png" width="672" /><img src="Results_files/figure-html/Sim1,%20100-2.png" width="672" /><img src="Results_files/figure-html/Sim1,%20100-3.png" width="672" /></p>
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<div id="periods-1" class="section level2">
<h2>50 periods</h2>
<p><img src="Results_files/figure-html/Sim1,%2050-1.png" width="672" /><img src="Results_files/figure-html/Sim1,%2050-2.png" width="672" /><img src="Results_files/figure-html/Sim1,%2050-3.png" width="672" /></p>
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<div id="periods-2" class="section level2">
<h2>21 periods</h2>
<p><img src="Results_files/figure-html/Sim1,%2021-1.png" width="672" /><img src="Results_files/figure-html/Sim1,%2021-2.png" width="672" /><img src="Results_files/figure-html/Sim1,%2021-3.png" width="672" /></p>
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<div id="dgp-2-one-treatment-group-te-is-unit-homogeneous-time-varying"
class="section level1">
<h1>DGP 2: One treatment group, TE is unit-homogeneous,
time-varying</h1>
<div id="periods-3" class="section level2">
<h2>100 periods</h2>
<p><img src="Results_files/figure-html/Sim2,%20100-1.png" width="672" /><img src="Results_files/figure-html/Sim2,%20100-2.png" width="672" /><img src="Results_files/figure-html/Sim2,%20100-3.png" width="672" /></p>
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</div>
<div id="periods-4" class="section level2">
<h2>50 periods</h2>
<p><img src="Results_files/figure-html/Sim2,%2050-1.png" width="672" /><img src="Results_files/figure-html/Sim2,%2050-2.png" width="672" /><img src="Results_files/figure-html/Sim2,%2050-3.png" width="672" /></p>
<div class="datatables html-widget html-fill-item" id="htmlwidget-e7371028c61d6306ff24" style="width:100%;height:auto;"></div>
<script type="application/json" data-for="htmlwidget-e7371028c61d6306ff24">{"x":{"filter":"none","vertical":false,"data":[["1","2","3","4","5","6"],["TRUE","MC-NNM","TWFE","CS","SA","BJS"],[0.04530354249307975,-0.1436031598365931,-0.1417619799131448,-0.1417619799074328,-0.1417619799131448,-0.1436031598365941],[0.05000778319953644,0.05542098067894708,0.05636158684910837,0.05636158684751145,0.05636158684910837,0.055420980678947],[0.05406068559612975,0.2192706455045214,0.2579391755329478,0.2579391755418745,0.2579391755329478,0.2192706455045226],[0.001537802368076755,0.0510700940349532,0.06539167871613542,0.06539167871658441,0.06539167871613542,0.05107009403495319],[null,0.005413197479410638,0.006353803649571922,0.006353803647975005,0.006353803649571922,0.005413197479410561],[null,0.05127042732734834,0.06560855464462605,0.06560855464492102,0.06560855464462605,0.05127042732734834],[null,0.0007026295988960295,0.00167677119288899,0.00145674143550637,0.00167677119288899,0.0008782869986199992],[null,0.04264068401804388,0.0590888010288715,0.06006899885266326,0.0590888010288715,0.04643123936153516]],"container":"<table class=\"display\">\n <thead>\n <tr>\n <th> <\/th>\n <th>Estimator<\/th>\n <th>Min<\/th>\n <th>Mean<\/th>\n <th>Max<\/th>\n <th>SD<\/th>\n <th>t=0 Bias<\/th>\n <th>t=0 RMSE<\/th>\n <th>All Relative Periods Bias<\/th>\n <th>ALL Relative Periods RMSE<\/th>\n <\/tr>\n <\/thead>\n<\/table>","options":{"autoWidth":true,"scrollX":true,"dom":"t","columnDefs":[{"targets":2,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":3,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":4,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":5,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":6,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":7,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":8,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":9,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"className":"dt-right","targets":[2,3,4,5,6,7,8,9]},{"orderable":false,"targets":0},{"name":" ","targets":0},{"name":"Estimator","targets":1},{"name":"Min","targets":2},{"name":"Mean","targets":3},{"name":"Max","targets":4},{"name":"SD","targets":5},{"name":"t=0 Bias","targets":6},{"name":"t=0 RMSE","targets":7},{"name":"All Relative Periods Bias","targets":8},{"name":"ALL Relative Periods RMSE","targets":9}],"order":[],"orderClasses":false},"selection":{"mode":"multiple","selected":null,"target":"row","selectable":null}},"evals":["options.columnDefs.0.render","options.columnDefs.1.render","options.columnDefs.2.render","options.columnDefs.3.render","options.columnDefs.4.render","options.columnDefs.5.render","options.columnDefs.6.render","options.columnDefs.7.render"],"jsHooks":[]}</script>
</div>
<div id="periods-5" class="section level2">
<h2>21 periods</h2>
<p><img src="Results_files/figure-html/Sim2,%2021-1.png" width="672" /><img src="Results_files/figure-html/Sim2,%2021-2.png" width="672" /><img src="Results_files/figure-html/Sim2,%2021-3.png" width="672" /></p>
<div class="datatables html-widget html-fill-item" id="htmlwidget-7fbbdeb0a744bd8b944f" style="width:100%;height:auto;"></div>
<script type="application/json" data-for="htmlwidget-7fbbdeb0a744bd8b944f">{"x":{"filter":"none","vertical":false,"data":[["1","2","3","4","5","6"],["TRUE","MC-NNM","TWFE","CS","SA","BJS"],[0.04530354249307975,-0.09757658744474035,-0.1092912300681103,-0.1092912300683108,-0.1092912300681103,-0.09757658744474046],[0.05000778319953644,0.04865243206068253,0.04993585625994547,0.04993585625985463,0.04993585625994547,0.04865243206068255],[0.05406068559612975,0.197974809928375,0.2216800320504448,0.2216800320504444,0.2216800320504448,0.1979748099283755],[0.001537802368076755,0.04563970207355866,0.05953052313606176,0.05953052313601327,0.05953052313606176,0.04563970207355866],[null,-0.001355351138853912,-7.19269395909744e-05,-7.192693968181146e-05,-7.19269395909744e-05,-0.001355351138853891],[null,0.04560969322100163,0.05950670978038521,0.05950670978033738,0.05950670978038521,0.04560969322100162],[null,-0.001023531022322375,0.0002728878357858675,-0.0005104385817515037,0.0002728878357858675,-0.001954013769888141],[null,0.0358781701636503,0.05895652194043027,0.06089587632031801,0.05895652194043027,0.04494621461539001]],"container":"<table class=\"display\">\n <thead>\n <tr>\n <th> <\/th>\n <th>Estimator<\/th>\n <th>Min<\/th>\n <th>Mean<\/th>\n <th>Max<\/th>\n <th>SD<\/th>\n <th>t=0 Bias<\/th>\n <th>t=0 RMSE<\/th>\n <th>All Relative Periods Bias<\/th>\n <th>ALL Relative Periods RMSE<\/th>\n <\/tr>\n <\/thead>\n<\/table>","options":{"autoWidth":true,"scrollX":true,"dom":"t","columnDefs":[{"targets":2,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":3,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":4,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":5,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":6,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":7,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":8,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":9,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"className":"dt-right","targets":[2,3,4,5,6,7,8,9]},{"orderable":false,"targets":0},{"name":" ","targets":0},{"name":"Estimator","targets":1},{"name":"Min","targets":2},{"name":"Mean","targets":3},{"name":"Max","targets":4},{"name":"SD","targets":5},{"name":"t=0 Bias","targets":6},{"name":"t=0 RMSE","targets":7},{"name":"All Relative Periods Bias","targets":8},{"name":"ALL Relative Periods RMSE","targets":9}],"order":[],"orderClasses":false},"selection":{"mode":"multiple","selected":null,"target":"row","selectable":null}},"evals":["options.columnDefs.0.render","options.columnDefs.1.render","options.columnDefs.2.render","options.columnDefs.3.render","options.columnDefs.4.render","options.columnDefs.5.render","options.columnDefs.6.render","options.columnDefs.7.render"],"jsHooks":[]}</script>
</div>
</div>
<div id="dgp-3-multiple-treatment-groups-time-invariant-homogeneous-te"
class="section level1">
<h1>DGP 3: Multiple Treatment Groups, Time-Invariant Homogeneous TE</h1>
<div id="periods-6" class="section level2">
<h2>100 periods</h2>
<p><img src="Results_files/figure-html/Sim3,%20100-1.png" width="672" /><img src="Results_files/figure-html/Sim3,%20100-2.png" width="672" /><img src="Results_files/figure-html/Sim3,%20100-3.png" width="672" /></p>
<div class="datatables html-widget html-fill-item" id="htmlwidget-58bce89ceb2de8473e42" style="width:100%;height:auto;"></div>
<script type="application/json" data-for="htmlwidget-58bce89ceb2de8473e42">{"x":{"filter":"none","vertical":false,"data":[["1","2","3","4","5","6","7"],["TRUE","MC-NNM","TWFE","CS","SA","dCdH","BJS"],[1,0.9250875776794661,0.9358341598376938,0.7902943345679337,0.7902943345718468,0.7426628610982574,0.9250875726080514],[1,1.001415322764535,1.001465918546198,1.004166637333295,1.004166637302135,1.010575121953779,1.001415322103512],[1,1.076637440221562,1.063468720417291,1.218762965155895,1.218762965193725,1.296044999595418,1.076637449400396],[0,0.02118931243374393,0.01807844862573135,0.08137443897041469,0.08137443896233748,0.09086556253038983,0.0211893118463472],[null,0.001415322764534821,0.001465918546198042,0.004166637333295142,0.004166637302135179,0.0105751219537793,0.001415322103512473],[null,0.02121537475558225,0.01811975610453597,0.0813997333274591,0.08139973331780555,0.09138856907400159,0.02121537412598224]],"container":"<table class=\"display\">\n <thead>\n <tr>\n <th> <\/th>\n <th>Estimator<\/th>\n <th>Min<\/th>\n <th>Mean<\/th>\n <th>Max<\/th>\n <th>SD<\/th>\n <th>Bias<\/th>\n <th>RMSE<\/th>\n <\/tr>\n <\/thead>\n<\/table>","options":{"autoWidth":true,"scrollX":true,"dom":"t","columnDefs":[{"targets":2,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":3,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":4,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":5,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":6,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":7,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"className":"dt-right","targets":[2,3,4,5,6,7]},{"orderable":false,"targets":0},{"name":" ","targets":0},{"name":"Estimator","targets":1},{"name":"Min","targets":2},{"name":"Mean","targets":3},{"name":"Max","targets":4},{"name":"SD","targets":5},{"name":"Bias","targets":6},{"name":"RMSE","targets":7}],"order":[],"orderClasses":false},"selection":{"mode":"multiple","selected":null,"target":"row","selectable":null}},"evals":["options.columnDefs.0.render","options.columnDefs.1.render","options.columnDefs.2.render","options.columnDefs.3.render","options.columnDefs.4.render","options.columnDefs.5.render"],"jsHooks":[]}</script>
</div>
<div id="periods-7" class="section level2">
<h2>50 periods</h2>
<p><img src="Results_files/figure-html/Sim3,%2050-1.png" width="672" /><img src="Results_files/figure-html/Sim3,%2050-2.png" width="672" /><img src="Results_files/figure-html/Sim3,%2050-3.png" width="672" /></p>
<div class="datatables html-widget html-fill-item" id="htmlwidget-3b08452b44b7c3c42c9f" style="width:100%;height:auto;"></div>
<script type="application/json" data-for="htmlwidget-3b08452b44b7c3c42c9f">{"x":{"filter":"none","vertical":false,"data":[["1","2","3","4","5","6","7"],["TRUE","MC-NNM","TWFE","CS","SA","dCdH","BJS"],[1,0.9094416959997113,0.9165787195259087,0.7544759477081406,0.7544759477154125,0.7869946703812337,0.9094416849182104],[1,1.001339404123678,1.001562553317472,1.005569949437689,1.005569949441775,1.002650812833209,1.001339404011305],[1,1.091348365876566,1.077301689737641,1.239892777533265,1.239892777533186,1.275708858014032,1.091348362117524],[0,0.02897217435619068,0.02480804513806155,0.07510483374982165,0.07510483374957405,0.08816372714962048,0.02897217359606129],[null,0.001339404123678056,0.001562553317471682,0.005569949437688848,0.005569949441774691,0.002650812833208782,0.001339404011304612],[null,0.02897416291384769,0.02483243440009251,0.07523615432238398,0.07523615432243981,0.08811540108300937,0.02897416215009589]],"container":"<table class=\"display\">\n <thead>\n <tr>\n <th> <\/th>\n <th>Estimator<\/th>\n <th>Min<\/th>\n <th>Mean<\/th>\n <th>Max<\/th>\n <th>SD<\/th>\n <th>Bias<\/th>\n <th>RMSE<\/th>\n <\/tr>\n <\/thead>\n<\/table>","options":{"autoWidth":true,"scrollX":true,"dom":"t","columnDefs":[{"targets":2,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":3,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":4,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":5,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":6,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":7,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"className":"dt-right","targets":[2,3,4,5,6,7]},{"orderable":false,"targets":0},{"name":" ","targets":0},{"name":"Estimator","targets":1},{"name":"Min","targets":2},{"name":"Mean","targets":3},{"name":"Max","targets":4},{"name":"SD","targets":5},{"name":"Bias","targets":6},{"name":"RMSE","targets":7}],"order":[],"orderClasses":false},"selection":{"mode":"multiple","selected":null,"target":"row","selectable":null}},"evals":["options.columnDefs.0.render","options.columnDefs.1.render","options.columnDefs.2.render","options.columnDefs.3.render","options.columnDefs.4.render","options.columnDefs.5.render"],"jsHooks":[]}</script>
</div>
<div id="periods-8" class="section level2">
<h2>21 periods</h2>
<p><img src="Results_files/figure-html/Sim3,%2021-1.png" width="672" /><img src="Results_files/figure-html/Sim3,%2021-2.png" width="672" /><img src="Results_files/figure-html/Sim3,%2021-3.png" width="672" /></p>
<div class="datatables html-widget html-fill-item" id="htmlwidget-daebdcc2388023a765de" style="width:100%;height:auto;"></div>
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</div>
</div>
<div id="section" class="section level1">
<h1></h1>
</div>
<div id="dgp-4-multiple-treatment-groupstime-invariant-heterogeneous-te"
class="section level1">
<h1>DGP 4: Multiple Treatment Groups,Time-Invariant Heterogeneous
TE</h1>
<div id="periods-9" class="section level2">
<h2>100 periods</h2>
<p><img src="Results_files/figure-html/Sim4,%20100-1.png" width="672" /><img src="Results_files/figure-html/Sim4,%20100-2.png" width="672" /><img src="Results_files/figure-html/Sim4,%20100-3.png" width="672" /></p>
<div class="datatables html-widget html-fill-item" id="htmlwidget-dfe2be6afcadabc835d6" style="width:100%;height:auto;"></div>
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</div>
<div id="periods-10" class="section level2">
<h2>50 periods</h2>
<p><img src="Results_files/figure-html/Sim4,%2050-1.png" width="672" /><img src="Results_files/figure-html/Sim4,%2050-2.png" width="672" /><img src="Results_files/figure-html/Sim4,%2050-3.png" width="672" /></p>
<div class="datatables html-widget html-fill-item" id="htmlwidget-9202e2f8bd981fb219ab" style="width:100%;height:auto;"></div>
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</div>
<div id="periods-11" class="section level2">
<h2>21 periods</h2>
<p><img src="Results_files/figure-html/Sim4,%2021-1.png" width="672" /><img src="Results_files/figure-html/Sim4,%2021-2.png" width="672" /><img src="Results_files/figure-html/Sim4,%2021-3.png" width="672" /></p>
<div class="datatables html-widget html-fill-item" id="htmlwidget-82002aa41ec6cff41018" style="width:100%;height:auto;"></div>
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</div>
</div>
<div id="dgp-5-multiple-treatment-groups-time-varying-homogeneous-te"
class="section level1">
<h1>DGP 5: Multiple Treatment Groups, Time-Varying Homogeneous TE</h1>
<div id="periods-12" class="section level2">
<h2>100 periods</h2>
<p><img src="Results_files/figure-html/Sim5,%20100-1.png" width="672" /><img src="Results_files/figure-html/Sim5,%20100-2.png" width="672" /><img src="Results_files/figure-html/Sim5,%20100-3.png" width="672" /></p>
<div class="datatables html-widget html-fill-item" id="htmlwidget-18cec6c1d195b3d4d0f4" style="width:100%;height:auto;"></div>
<script type="application/json" data-for="htmlwidget-18cec6c1d195b3d4d0f4">{"x":{"filter":"none","vertical":false,"data":[["1","2","3","4","5","6"],["TRUE","MC-NNM","TWFE","CS","SA","BJS"],[0.04694091988014502,-0.1928556986222763,-0.3285722961745119,-0.2514795648664365,-0.3192708174748221,-0.1928557095710846],[0.05008690674588336,0.05544812093821837,-0.0007492372587309426,0.05778826240160642,-0.0005893741882953222,0.05544812092967404],[0.05352454105890312,0.2173399048819576,0.3278745709464361,0.4200269631834069,0.3663516256195825,0.2173399062699423],[0.001194119752363509,0.06287842187947489,0.101727862489856,0.1062271229497859,0.1061148575302506,0.06287842169580121],[null,0.005361214192335019,-0.05083614400461429,0.007701355655723066,-0.05067628093417868,0.00536121418379068],[null,0.06301373634148721,0.113571243048083,0.1063801474609524,0.1174425245918806,0.06301373618759228],[null,0.0006002215043102989,-0.03889540111126774,0.002918197712398172,-0.03774066122951443,0.0009153381279475787],[null,0.09008700107027884,0.1174268457920137,0.133903991391621,0.138562491808251,0.09811982308248074]],"container":"<table class=\"display\">\n <thead>\n <tr>\n <th> <\/th>\n <th>Estimator<\/th>\n <th>Min<\/th>\n <th>Mean<\/th>\n <th>Max<\/th>\n <th>SD<\/th>\n <th>t=0 Bias<\/th>\n <th>t=0 RMSE<\/th>\n <th>All Relative Periods Bias<\/th>\n <th>ALL Relative Periods RMSE<\/th>\n <\/tr>\n <\/thead>\n<\/table>","options":{"autoWidth":true,"scrollX":true,"dom":"t","columnDefs":[{"targets":2,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":3,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":4,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":5,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":6,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":7,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":8,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":9,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"className":"dt-right","targets":[2,3,4,5,6,7,8,9]},{"orderable":false,"targets":0},{"name":" ","targets":0},{"name":"Estimator","targets":1},{"name":"Min","targets":2},{"name":"Mean","targets":3},{"name":"Max","targets":4},{"name":"SD","targets":5},{"name":"t=0 Bias","targets":6},{"name":"t=0 RMSE","targets":7},{"name":"All Relative Periods Bias","targets":8},{"name":"ALL Relative Periods RMSE","targets":9}],"order":[],"orderClasses":false},"selection":{"mode":"multiple","selected":null,"target":"row","selectable":null}},"evals":["options.columnDefs.0.render","options.columnDefs.1.render","options.columnDefs.2.render","options.columnDefs.3.render","options.columnDefs.4.render","options.columnDefs.5.render","options.columnDefs.6.render","options.columnDefs.7.render"],"jsHooks":[]}</script>
</div>
<div id="periods-13" class="section level2">
<h2>50 periods</h2>
<p><img src="Results_files/figure-html/Sim5,%2050-1.png" width="672" /><img src="Results_files/figure-html/Sim5,%2050-2.png" width="672" /><img src="Results_files/figure-html/Sim5,%2050-3.png" width="672" /></p>
<div class="datatables html-widget html-fill-item" id="htmlwidget-5a386af283904cfbff4b" style="width:100%;height:auto;"></div>
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</div>
<div id="periods-14" class="section level2">
<h2>21 periods</h2>
<p><img src="Results_files/figure-html/Sim5,%2021-1.png" width="672" /><img src="Results_files/figure-html/Sim5,%2021-2.png" width="672" /><img src="Results_files/figure-html/Sim5,%2021-3.png" width="672" /></p>
<div class="datatables html-widget html-fill-item" id="htmlwidget-f0e40f4147d36c29e4c8" style="width:100%;height:auto;"></div>
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</div>
</div>
<div id="dgp-6-multiple-treatment-groups-time-varying-heterogeneous-te"
class="section level1">
<h1>DGP 6: Multiple Treatment Groups, Time-Varying Heterogeneous TE</h1>
<div id="periods-15" class="section level2">
<h2>100 periods</h2>
<p><img src="Results_files/figure-html/Sim6,%20100-1.png" width="672" /><img src="Results_files/figure-html/Sim6,%20100-2.png" width="672" /><img src="Results_files/figure-html/Sim6,%20100-3.png" width="672" /></p>
<div class="datatables html-widget html-fill-item" id="htmlwidget-5321f8d5f60f8a19f40d" style="width:100%;height:auto;"></div>
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</div>
<div id="periods-16" class="section level2">
<h2>50 periods</h2>
<p><img src="Results_files/figure-html/Sim6,%2050-1.png" width="672" /><img src="Results_files/figure-html/Sim6,%2050-2.png" width="672" /><img src="Results_files/figure-html/Sim6,%2050-3.png" width="672" /></p>
<div class="datatables html-widget html-fill-item" id="htmlwidget-43ef1b2569bd099fa373" style="width:100%;height:auto;"></div>
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</div>
<div id="periods-17" class="section level2">
<h2>21 periods</h2>
<p><img src="Results_files/figure-html/Sim6,%2021-1.png" width="672" /><img src="Results_files/figure-html/Sim6,%2021-2.png" width="672" /><img src="Results_files/figure-html/Sim6,%2021-3.png" width="672" /></p>
<div class="datatables html-widget html-fill-item" id="htmlwidget-378aebcfedbb35f8faf9" style="width:100%;height:auto;"></div>
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</div>
</div>
<div
id="dgp-7-multiple-treatment-groups-time-varying-heterogeneous-te-unconditional-parallel-trends-violated"
class="section level1">
<h1>DGP 7: Multiple Treatment Groups, Time-Varying Heterogeneous TE,
<strong>Unconditional</strong> Parallel Trends Violated</h1>
<div id="periods-18" class="section level2">
<h2>100 periods</h2>
<p><img src="Results_files/figure-html/Sim7,%20100-1.png" width="672" /><img src="Results_files/figure-html/Sim7,%20100-2.png" width="672" /><img src="Results_files/figure-html/Sim7,%20100-3.png" width="672" /></p>
<div class="datatables html-widget html-fill-item" id="htmlwidget-3a01b555ee9f5c6aeab3" style="width:100%;height:auto;"></div>
<script type="application/json" data-for="htmlwidget-3a01b555ee9f5c6aeab3">{"x":{"filter":"none","vertical":false,"data":[["1","2","3","4","5","6"],["TRUE","MC-NNM","TWFE","CS","SA","BJS"],[0.09650036892146024,0.02606150095762179,-0.5456809174335644,-0.2465238412590996,-0.1582884421140718,0.02606150312212724],[0.1062414228526771,0.1067957189860307,-0.007542837596023977,0.08592322350668051,-0.001207131931168868,0.1067957226105884],[0.118636710639293,0.2255615624721206,0.4427508351440534,0.3940500176082711,0.1425480098180679,0.2255615645552965],[0.00369719407998127,0.03177277221637689,0.1566861576421934,0.1104996635969631,0.05030755963964755,0.03177277213753131],[null,0.0005542961333536017,-0.113784260448701,-0.02031819934599655,-0.1074485547838459,0.0005542997579113529],[null,0.03161662308649345,0.1934709440485574,0.1119245342993698,0.118730337997403,0.0316166227022488],[null,0.0003083079792695116,-0.06218770133683582,-0.03355973965706337,-0.04131316407873342,0.0003373911530917289],[null,0.04557459584589307,0.219051256456966,0.2010415018706055,0.1418333507871357,0.04967399968859426]],"container":"<table class=\"display\">\n <thead>\n <tr>\n <th> <\/th>\n <th>Estimator<\/th>\n <th>Min<\/th>\n <th>Mean<\/th>\n <th>Max<\/th>\n <th>SD<\/th>\n <th>t=0 Bias<\/th>\n <th>t=0 RMSE<\/th>\n <th>All Relative Periods Bias<\/th>\n <th>ALL Relative Periods RMSE<\/th>\n <\/tr>\n <\/thead>\n<\/table>","options":{"autoWidth":true,"scrollX":true,"dom":"t","columnDefs":[{"targets":2,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":3,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":4,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":5,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":6,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":7,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":8,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":9,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"className":"dt-right","targets":[2,3,4,5,6,7,8,9]},{"orderable":false,"targets":0},{"name":" ","targets":0},{"name":"Estimator","targets":1},{"name":"Min","targets":2},{"name":"Mean","targets":3},{"name":"Max","targets":4},{"name":"SD","targets":5},{"name":"t=0 Bias","targets":6},{"name":"t=0 RMSE","targets":7},{"name":"All Relative Periods Bias","targets":8},{"name":"ALL Relative Periods RMSE","targets":9}],"order":[],"orderClasses":false},"selection":{"mode":"multiple","selected":null,"target":"row","selectable":null}},"evals":["options.columnDefs.0.render","options.columnDefs.1.render","options.columnDefs.2.render","options.columnDefs.3.render","options.columnDefs.4.render","options.columnDefs.5.render","options.columnDefs.6.render","options.columnDefs.7.render"],"jsHooks":[]}</script>
</div>
<div id="periods-19" class="section level2">
<h2>50 periods</h2>
<p><img src="Results_files/figure-html/Sim7,%2050-1.png" width="672" /><img src="Results_files/figure-html/Sim7,%2050-2.png" width="672" /><img src="Results_files/figure-html/Sim7,%2050-3.png" width="672" /></p>
<div class="datatables html-widget html-fill-item" id="htmlwidget-6699b159df3fd282b7a5" style="width:100%;height:auto;"></div>
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</div>
<div id="periods-20" class="section level2">
<h2>21 periods</h2>
<p><img src="Results_files/figure-html/Sim7,%2021-1.png" width="672" /><img src="Results_files/figure-html/Sim7,%2021-2.png" width="672" /><img src="Results_files/figure-html/Sim7,%2021-3.png" width="672" /></p>
<div class="datatables html-widget html-fill-item" id="htmlwidget-75156ec6d2c56797a714" style="width:100%;height:auto;"></div>
<script type="application/json" data-for="htmlwidget-75156ec6d2c56797a714">{"x":{"filter":"none","vertical":false,"data":[["1","2","3","4","5","6"],["TRUE","MC-NNM","TWFE","CS","SA","BJS"],[0.09650036892146024,-0.02048154677205564,-0.43962861541201,-0.1801505526854366,-0.1617638391959487,-0.02048154756762116],[0.1062414228526771,0.1054655870466361,0.004185705956993569,0.08251703723065881,0.002597200338582357,0.105465586912844],[0.118636710639293,0.1952731947969891,0.474868436405634,0.3729981422902484,0.1632744931183878,0.1952733069351134],[0.00369719407998127,0.03347771378043131,0.1418520832056486,0.1102903970791241,0.05135749276725707,0.03347771584562211],[null,-0.0007758358060409171,-0.1020557168956835,-0.02372438562201824,-0.1036442225140947,-0.0007758359398331027],[null,0.0332955891541554,0.1746116914730109,0.1124816371231496,0.1156828131364023,0.03329559116735199],[null,0.0003022507503097372,-0.102736420025846,-0.02459828218742961,-0.02778405882238728,0.0004109778341423917],[null,0.03923762883752088,0.1686633886850764,0.1849496913528103,0.08050557650066738,0.05001798281142839]],"container":"<table class=\"display\">\n <thead>\n <tr>\n <th> <\/th>\n <th>Estimator<\/th>\n <th>Min<\/th>\n <th>Mean<\/th>\n <th>Max<\/th>\n <th>SD<\/th>\n <th>t=0 Bias<\/th>\n <th>t=0 RMSE<\/th>\n <th>All Relative Periods Bias<\/th>\n <th>ALL Relative Periods RMSE<\/th>\n <\/tr>\n <\/thead>\n<\/table>","options":{"autoWidth":true,"scrollX":true,"dom":"t","columnDefs":[{"targets":2,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":3,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":4,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":5,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":6,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":7,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":8,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":9,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"className":"dt-right","targets":[2,3,4,5,6,7,8,9]},{"orderable":false,"targets":0},{"name":" ","targets":0},{"name":"Estimator","targets":1},{"name":"Min","targets":2},{"name":"Mean","targets":3},{"name":"Max","targets":4},{"name":"SD","targets":5},{"name":"t=0 Bias","targets":6},{"name":"t=0 RMSE","targets":7},{"name":"All Relative Periods Bias","targets":8},{"name":"ALL Relative Periods RMSE","targets":9}],"order":[],"orderClasses":false},"selection":{"mode":"multiple","selected":null,"target":"row","selectable":null}},"evals":["options.columnDefs.0.render","options.columnDefs.1.render","options.columnDefs.2.render","options.columnDefs.3.render","options.columnDefs.4.render","options.columnDefs.5.render","options.columnDefs.6.render","options.columnDefs.7.render"],"jsHooks":[]}</script>
</div>
</div>
<div
id="dgp-8-multiple-treatment-groups-time-varying-heterogeneous-te-parallel-trends-violated"
class="section level1">
<h1>DGP 8: Multiple Treatment Groups, Time-Varying Heterogeneous TE,
<strong>Parallel Trends Violated</strong></h1>
<div id="periods-21" class="section level2">
<h2>100 periods</h2>
<p><img src="Results_files/figure-html/Sim8,%20100-1.png" width="672" /><img src="Results_files/figure-html/Sim8,%20100-2.png" width="672" /><img src="Results_files/figure-html/Sim8,%20100-3.png" width="672" /></p>
<div class="datatables html-widget html-fill-item" id="htmlwidget-e31f774c40c6388d4d6e" style="width:100%;height:auto;"></div>
<script type="application/json" data-for="htmlwidget-e31f774c40c6388d4d6e">{"x":{"filter":"none","vertical":false,"data":[["1","2","3","4","5","6"],["TRUE","MC-NNM","TWFE","CS","SA","BJS"],[0.09650036892146024,-0.01929404550386113,-0.5456809174335644,-0.2465238412590996,-0.5770311994985691,-0.01929408133816098],[0.1062414228526771,0.08256718501283122,-0.007542837596023977,0.08592322350668051,0.001981174687092445,0.0825671860919501],[0.118636710639293,0.2100087089558268,0.4427508351440534,0.3940500176082711,0.4754128009820069,0.2100087067132623],[0.00369719407998127,0.03890214510343996,0.1566861576421934,0.110499663596963,0.1633377742965432,0.03890214548233645],[null,-0.02367423783984583,-0.113784260448701,-0.02031819934599655,-0.1042602481655846,-0.02367423676072695],[null,0.04523425153108299,0.1934709440485574,0.1119245342993698,0.1935869005405301,0.04523425122966368],[null,-0.04016743125026428,-0.06218770133683582,-0.03355973965706337,-0.07336686195580314,-0.04963266483888288],[null,0.08634140569170584,0.219051256456966,0.2010415018706055,0.244419222675211,0.0863279153909192]],"container":"<table class=\"display\">\n <thead>\n <tr>\n <th> <\/th>\n <th>Estimator<\/th>\n <th>Min<\/th>\n <th>Mean<\/th>\n <th>Max<\/th>\n <th>SD<\/th>\n <th>t=0 Bias<\/th>\n <th>t=0 RMSE<\/th>\n <th>All Relative Periods Bias<\/th>\n <th>ALL Relative Periods RMSE<\/th>\n <\/tr>\n <\/thead>\n<\/table>","options":{"autoWidth":true,"scrollX":true,"dom":"t","columnDefs":[{"targets":2,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":3,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":4,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":5,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":6,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":7,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":8,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"targets":9,"render":"function(data, type, row, meta) {\n return type !== 'display' ? data : DTWidget.formatRound(data, 3, 3, \",\", \".\", null);\n }"},{"className":"dt-right","targets":[2,3,4,5,6,7,8,9]},{"orderable":false,"targets":0},{"name":" ","targets":0},{"name":"Estimator","targets":1},{"name":"Min","targets":2},{"name":"Mean","targets":3},{"name":"Max","targets":4},{"name":"SD","targets":5},{"name":"t=0 Bias","targets":6},{"name":"t=0 RMSE","targets":7},{"name":"All Relative Periods Bias","targets":8},{"name":"ALL Relative Periods RMSE","targets":9}],"order":[],"orderClasses":false},"selection":{"mode":"multiple","selected":null,"target":"row","selectable":null}},"evals":["options.columnDefs.0.render","options.columnDefs.1.render","options.columnDefs.2.render","options.columnDefs.3.render","options.columnDefs.4.render","options.columnDefs.5.render","options.columnDefs.6.render","options.columnDefs.7.render"],"jsHooks":[]}</script>
</div>
<div id="periods-22" class="section level2">
<h2>50 periods</h2>
<p><img src="Results_files/figure-html/Sim8,%2050-1.png" width="672" /><img src="Results_files/figure-html/Sim8,%2050-2.png" width="672" /><img src="Results_files/figure-html/Sim8,%2050-3.png" width="672" /></p>
<div class="datatables html-widget html-fill-item" id="htmlwidget-f1d9b3a5255a465acfdd" style="width:100%;height:auto;"></div>
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</div>
<div id="periods-23" class="section level2">
<h2>21 periods</h2>
<p><img src="Results_files/figure-html/Sim8,%2021-1.png" width="672" /><img src="Results_files/figure-html/Sim8,%2021-2.png" width="672" /><img src="Results_files/figure-html/Sim8,%2021-3.png" width="672" /></p>
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