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<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<meta name="generator" content="pandoc" />
<meta http-equiv="X-UA-Compatible" content="IE=EDGE" />
<meta name="author" content="Tobias Schnabel" />
<title>Simulation Results</title>
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<div id="header">
<h1 class="title toc-ignore">Simulation Results</h1>
<h4 class="author">Tobias Schnabel</h4>
<h4 class="date">Last compiled on January 03, 2024</h4>
</div>
<style type="text/css">
table th {
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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-html_files/figure-html/Sim1,%20100-1.png" width="672" /><img src="Results-html_files/figure-html/Sim1,%20100-2.png" width="672" /><img src="Results-html_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-html_files/figure-html/Sim1,%2050-1.png" width="672" /><img src="Results-html_files/figure-html/Sim1,%2050-2.png" width="672" /><img src="Results-html_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-html_files/figure-html/Sim1,%2021-1.png" width="672" /><img src="Results-html_files/figure-html/Sim1,%2021-2.png" width="672" /><img src="Results-html_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-html_files/figure-html/Sim2,%20100-1.png" width="672" /><img src="Results-html_files/figure-html/Sim2,%20100-2.png" width="672" /><img src="Results-html_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-html_files/figure-html/Sim2,%2050-1.png" width="672" /><img src="Results-html_files/figure-html/Sim2,%2050-2.png" width="672" /><img src="Results-html_files/figure-html/Sim2,%2050-3.png" width="672" /></p>
<div class="datatables html-widget html-fill-item" id="htmlwidget-519e4ba178d24c78bb6e" style="width:100%;height:auto;"></div>
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</div>
<div id="periods-5" class="section level2">
<h2>21 periods</h2>
<p><img src="Results-html_files/figure-html/Sim2,%2021-1.png" width="672" /><img src="Results-html_files/figure-html/Sim2,%2021-2.png" width="672" /><img src="Results-html_files/figure-html/Sim2,%2021-3.png" width="672" /></p>
<div class="datatables html-widget html-fill-item" id="htmlwidget-4f7191d370a06960decc" style="width:100%;height:auto;"></div>
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</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-html_files/figure-html/Sim3,%20100-1.png" width="672" /><img src="Results-html_files/figure-html/Sim3,%20100-2.png" width="672" /><img src="Results-html_files/figure-html/Sim3,%20100-3.png" width="672" /></p>
<div class="datatables html-widget html-fill-item" id="htmlwidget-0bea77bf95f00d5c0f39" style="width:100%;height:auto;"></div>
<script type="application/json" data-for="htmlwidget-0bea77bf95f00d5c0f39">{"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":false,"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-html_files/figure-html/Sim3,%2050-1.png" width="672" /><img src="Results-html_files/figure-html/Sim3,%2050-2.png" width="672" /><img src="Results-html_files/figure-html/Sim3,%2050-3.png" width="672" /></p>
<div class="datatables html-widget html-fill-item" id="htmlwidget-9bc4d910db2764d987ac" style="width:100%;height:auto;"></div>
<script type="application/json" data-for="htmlwidget-9bc4d910db2764d987ac">{"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":false,"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-html_files/figure-html/Sim3,%2021-1.png" width="672" /><img src="Results-html_files/figure-html/Sim3,%2021-2.png" width="672" /><img src="Results-html_files/figure-html/Sim3,%2021-3.png" width="672" /></p>
<div class="datatables html-widget html-fill-item" id="htmlwidget-25b362b0d5b06e88fde8" style="width:100%;height:auto;"></div>
<script type="application/json" data-for="htmlwidget-25b362b0d5b06e88fde8">{"x":{"filter":"none","vertical":false,"data":[["1","2","3","4","5","6","7"],["TRUE","MC-NNM","TWFE","CS","SA","dCdH","BJS"],[1,0.8843381637687487,0.8838198959670809,0.7854152784132712,0.7854152784141738,0.7674760102510783,0.8843382168083985],[1,0.9978401793882249,0.9973163726447756,1.001352136447494,1.001352136447334,1.001319493977295,0.9978401793433824],[1,1.159070423387696,1.11546036767024,1.211047027652504,1.211047027653699,1.292128987205183,1.15907034478418],[0,0.04411100059238971,0.0377603362931488,0.07647514962580183,0.07647514962584274,0.08219689390891177,0.04411099825705966],[null,-0.00215982061177511,-0.002683627355224427,0.001352136447494434,0.00135213644733434,0.001319493977295139,-0.002159820656617573],[null,0.04411976470461203,0.03781789479544646,0.0764106006143182,0.07641060061435621,0.08212525661386068,0.04411976237661084]],"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":false,"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>
<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-html_files/figure-html/Sim4,%20100-1.png" width="672" /><img src="Results-html_files/figure-html/Sim4,%20100-2.png" width="672" /><img src="Results-html_files/figure-html/Sim4,%20100-3.png" width="672" /></p>
<div class="datatables html-widget html-fill-item" id="htmlwidget-bd03dc99e31dd2660ec4" 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-html_files/figure-html/Sim4,%2050-1.png" width="672" /><img src="Results-html_files/figure-html/Sim4,%2050-2.png" width="672" /><img src="Results-html_files/figure-html/Sim4,%2050-3.png" width="672" /></p>
<div class="datatables html-widget html-fill-item" id="htmlwidget-650b40c600600ad795d7" style="width:100%;height:auto;"></div>
<script type="application/json" data-for="htmlwidget-650b40c600600ad795d7">{"x":{"filter":"none","vertical":false,"data":[["1","2","3","4","5","6","7"],["TRUE","MC-NNM","TWFE","CS","SA","dCdH","BJS"],[0.7269820971867007,0.8947806431520021,0.6998023286441787,0.8040977886968894,0.8040977887069923,0.5764160495637403,0.8947806469780671],[0.8138393523052555,1.014039147078642,0.7914406421926962,1.018269692050566,1.01826969205516,0.8164901651384643,1.014039146624182],[0.8814766839378236,1.119081388238061,0.8791405176802534,1.285034631599115,1.285034631600961,1.12141959297023,1.119081387114673],[0.02365323978958403,0.03718861367279465,0.02853211261235373,0.07700217864718931,0.07700217864666618,0.09072755252933401,0.03718861142938419],[null,0.2001997947733866,-0.02239871011255934,0.204430339745311,0.2044303397499047,0.002650812833208782,0.200199794318927],[null,0.2024638732024372,0.03506397306135938,0.2180009482502633,0.2180009482543581,0.08811540108300937,0.2024638725896992]],"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":false,"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-11" class="section level2">
<h2>21 periods</h2>
<p><img src="Results-html_files/figure-html/Sim4,%2021-1.png" width="672" /><img src="Results-html_files/figure-html/Sim4,%2021-2.png" width="672" /><img src="Results-html_files/figure-html/Sim4,%2021-3.png" width="672" /></p>
<div class="datatables html-widget html-fill-item" id="htmlwidget-dfc8b8f670a091ce5329" style="width:100%;height:auto;"></div>
<script type="application/json" data-for="htmlwidget-dfc8b8f670a091ce5329">{"x":{"filter":"none","vertical":false,"data":[["1","2","3","4","5","6","7"],["TRUE","MC-NNM","TWFE","CS","SA","dCdH","BJS"],[0.7269820971867007,0.8391069848304874,0.820915153073945,0.7807005834935237,0.7807005834925079,0.5876514488475696,0.8391068712286505],[0.8138393523052555,0.9811885713711911,0.9431744943963112,0.9847005281300975,0.984700528129884,0.8151588462825506,0.9811885710259854],[0.8814766839378239,1.128116904713754,1.061901653427221,1.200882114805236,1.200882114806995,1.10447910710926,1.128116899583473],[0.02365323978958402,0.05010991071637132,0.04217186316316,0.07981886538855248,0.07981886538875768,0.08548131987276182,0.05010990793532313],[null,0.1673492190659356,0.1293351420910557,0.1708611758248419,0.1708611758246285,0.001319493977295139,0.1673492187207299],[null,0.1730318152674522,0.1348385572450621,0.1870902554145923,0.187090255414435,0.08212525661386069,0.1730318142460756]],"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":false,"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>
<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-html_files/figure-html/Sim5,%20100-1.png" width="672" /><img src="Results-html_files/figure-html/Sim5,%20100-2.png" width="672" /><img src="Results-html_files/figure-html/Sim5,%20100-3.png" width="672" /></p>
<div class="datatables html-widget html-fill-item" id="htmlwidget-19481b2026627b89d590" style="width:100%;height:auto;"></div>
<script type="application/json" data-for="htmlwidget-19481b2026627b89d590">{"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":false,"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-html_files/figure-html/Sim5,%2050-1.png" width="672" /><img src="Results-html_files/figure-html/Sim5,%2050-2.png" width="672" /><img src="Results-html_files/figure-html/Sim5,%2050-3.png" width="672" /></p>
<div class="datatables html-widget html-fill-item" id="htmlwidget-b18056d68a7c02a3380c" 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-html_files/figure-html/Sim5,%2021-1.png" width="672" /><img src="Results-html_files/figure-html/Sim5,%2021-2.png" width="672" /><img src="Results-html_files/figure-html/Sim5,%2021-3.png" width="672" /></p>
<div class="datatables html-widget html-fill-item" id="htmlwidget-1a8489f573a2fb39aa2d" 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-html_files/figure-html/Sim6,%20100-1.png" width="672" /><img src="Results-html_files/figure-html/Sim6,%20100-2.png" width="672" /><img src="Results-html_files/figure-html/Sim6,%20100-3.png" width="672" /></p>
<div class="datatables html-widget html-fill-item" id="htmlwidget-a219e5916d19742793ce" 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-html_files/figure-html/Sim6,%2050-1.png" width="672" /><img src="Results-html_files/figure-html/Sim6,%2050-2.png" width="672" /><img src="Results-html_files/figure-html/Sim6,%2050-3.png" width="672" /></p>
<div class="datatables html-widget html-fill-item" id="htmlwidget-9a6085cc4d1e093f8951" 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-html_files/figure-html/Sim6,%2021-1.png" width="672" /><img src="Results-html_files/figure-html/Sim6,%2021-2.png" width="672" /><img src="Results-html_files/figure-html/Sim6,%2021-3.png" width="672" /></p>
<div class="datatables html-widget html-fill-item" id="htmlwidget-ef5601a6d126ca0ceb5a" 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-html_files/figure-html/Sim7,%20100-1.png" width="672" /><img src="Results-html_files/figure-html/Sim7,%20100-2.png" width="672" /><img src="Results-html_files/figure-html/Sim7,%20100-3.png" width="672" /></p>
<div class="datatables html-widget html-fill-item" id="htmlwidget-a1dd37c6f04f18d03c86" style="width:100%;height:auto;"></div>
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</div>
<div id="periods-19" class="section level2">
<h2>50 periods</h2>
<p><img src="Results-html_files/figure-html/Sim7,%2050-1.png" width="672" /><img src="Results-html_files/figure-html/Sim7,%2050-2.png" width="672" /><img src="Results-html_files/figure-html/Sim7,%2050-3.png" width="672" /></p>
<div class="datatables html-widget html-fill-item" id="htmlwidget-ae61520fb535a24ebe7d" 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-html_files/figure-html/Sim7,%2021-1.png" width="672" /><img src="Results-html_files/figure-html/Sim7,%2021-2.png" width="672" /><img src="Results-html_files/figure-html/Sim7,%2021-3.png" width="672" /></p>
<div class="datatables html-widget html-fill-item" id="htmlwidget-922765cdf9dd63f2648a" style="width:100%;height:auto;"></div>
<script type="application/json" data-for="htmlwidget-922765cdf9dd63f2648a">{"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":false,"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-html_files/figure-html/Sim8,%20100-1.png" width="672" /><img src="Results-html_files/figure-html/Sim8,%20100-2.png" width="672" /><img src="Results-html_files/figure-html/Sim8,%20100-3.png" width="672" /></p>
<div class="datatables html-widget html-fill-item" id="htmlwidget-b85736579b40fb7481d5" style="width:100%;height:auto;"></div>
<script type="application/json" data-for="htmlwidget-b85736579b40fb7481d5">{"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":false,"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-html_files/figure-html/Sim8,%2050-1.png" width="672" /><img src="Results-html_files/figure-html/Sim8,%2050-2.png" width="672" /><img src="Results-html_files/figure-html/Sim8,%2050-3.png" width="672" /></p>
<div class="datatables html-widget html-fill-item" id="htmlwidget-eda1ccb0ec78ce52d24a" style="width:100%;height:auto;"></div>
<script type="application/json" data-for="htmlwidget-eda1ccb0ec78ce52d24a">{"x":{"filter":"none","vertical":false,"data":[["1","2","3","4","5","6"],["TRUE","MC-NNM","TWFE","CS","SA","BJS"],[0.09650036892146024,-0.05992711834809646,-0.4870724747845123,-0.2286478148050551,-0.5153910854233967,-0.05992711787339266],[0.1062414228526771,0.08281415272360905,-0.01963020254753349,0.08906826042246752,0.004320603100505574,0.08281392354577517],[0.118636710639293,0.2000219172743015,0.3596008528997071,0.4049521949804866,0.413899865897984,0.2000219146454279],[0.00369719407998127,0.0454363909050963,0.1406381283509196,0.1115327619359538,0.1529418149164137,0.04544175747108619],[null,-0.02342727012906801,-0.1258716254002105,-0.01717316243020954,-0.1019208197521715,-0.02342749930690188],[null,0.05075491889760432,0.1884687552463943,0.1123630709733023,0.1835445507440615,0.0507590230002318],[null,-0.03887788679247189,-0.06681599253826,-0.02806555097155215,-0.06685759490133558,-0.04856194211493838],[null,0.09299508533351333,0.1610553305348351,0.2022293964021519,0.2259537924589798,0.09497355921031482]],"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":false,"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-23" class="section level2">
<h2>21 periods</h2>
<p><img src="Results-html_files/figure-html/Sim8,%2021-1.png" width="672" /><img src="Results-html_files/figure-html/Sim8,%2021-2.png" width="672" /><img src="Results-html_files/figure-html/Sim8,%2021-3.png" width="672" /></p>
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