{"id":1179,"date":"2023-07-27T09:26:41","date_gmt":"2023-07-27T09:26:41","guid":{"rendered":"https:\/\/statorials.org\/my\/r-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-bootstrap\/"},"modified":"2023-07-27T09:26:41","modified_gmt":"2023-07-27T09:26:41","slug":"r-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-bootstrap","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/r-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-bootstrap\/","title":{"rendered":"R \u1010\u103d\u1004\u103a bootstrapping \u101c\u102f\u1015\u103a\u1014\u100a\u103a\u1038 (\u1025\u1015\u1019\u102c\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a\u1021\u1010\u1030)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Bootstrapping<\/strong> \u101e\u100a\u103a \u1019\u100a\u103a\u101e\u100a\u1037\u103a <a href=\"https:\/\/statorials.org\/my\/\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a-\u1000\u1014\u1037\u103a\u101e\u1010\u103a\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u104f<\/a> \u1005\u1036\u1021\u1019\u103e\u102c\u1038\u1000\u102d\u102f \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101b\u1014\u103a\u1014\u103e\u1004\u1037\u103a \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1021\u1010\u103d\u1000\u103a <a href=\"https:\/\/statorials.org\/my\/\u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1019\u103b\u102c\u1038\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1005\u102d\u1010\u103a\u1001\u103b\u101b\u101e\u1031\u102c \u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1000\u102d\u102f<\/a> \u1016\u1014\u103a\u1010\u102e\u1038\u101b\u1014\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u1037\u103a \u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">bootstrapping \u1021\u1010\u103d\u1000\u103a \u1021\u1001\u103c\u1031\u1001\u1036\u101c\u102f\u1015\u103a\u1004\u1014\u103a\u1038\u1005\u1009\u103a\u1019\u103e\u102c \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u1015\u1031\u1038\u1011\u102c\u1038\u101e\u1031\u102c\u1012\u1031\u1010\u102c\u1021\u1005\u102f\u1036\u1019\u103e \u1021\u1005\u102c\u1038\u1011\u102d\u102f\u1038\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1004\u1037\u103a <em>k<\/em> \u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u102f\u1036\u1010\u1030\u1015\u103d\u102c\u1038\u101a\u1030\u1015\u102b\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1021\u1010\u103d\u1000\u103a \u1021\u1010\u102d\u102f\u1038\u1014\u103e\u102f\u1014\u103a\u1038\u1005\u102c\u101b\u1004\u103a\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1015\u1031\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1021\u1010\u103d\u1000\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f <em>k<\/em> \u1015\u1031\u1038\u101e\u100a\u103a\u104a \u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u104f \u1005\u1036\u1021\u1019\u103e\u102c\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a\u1014\u103e\u1004\u1037\u103a \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1021\u1010\u103d\u1000\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/cran.r-project.org\/web\/packages\/boot\/boot.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">bootstrap \u1005\u102c\u1000\u103c\u100a\u1037\u103a\u1010\u102d\u102f\u1000\u103a<\/a> \u1019\u103e \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d R \u1010\u103d\u1004\u103a bootstrap \u101c\u102f\u1015\u103a\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">1. bootstrap \u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>boot(\u1012\u1031\u1010\u102c\u104a \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u104a R\u104a \u2026)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101b\u103d\u103e\u1031-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u1012\u1031\u1010\u102c-<\/strong> vector\u104a matrix \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a data \u104f \u1018\u101c\u1031\u102c\u1000\u103a\u1010\u1005\u103a\u1001\u102f<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038-<\/strong> \u1005\u1010\u1004\u103a\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u1037\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038(\u1019\u103b\u102c\u1038)\u1000\u102d\u102f \u1011\u102f\u1010\u103a\u101c\u102f\u1015\u103a\u1015\u1031\u1038\u101e\u100a\u1037\u103a \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>A-<\/strong> bootstrap \u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032 \u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">2. bootstrap \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>boot.ci(boot object\u104a conf\u104a \u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101b\u103d\u103e\u1031-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>bootobject-<\/strong> boot() function \u1019\u103e \u1015\u103c\u1014\u103a\u1015\u1031\u1038\u101e\u100a\u1037\u103a \u1021\u101b\u102c\u1010\u1005\u103a\u1001\u102f<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>conf-<\/strong> \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u104b \u1019\u1030\u101b\u1004\u103a\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a 0.95 \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038-<\/strong> \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c \u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u104b \u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u1005\u101b\u102c\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a &#8216;\u1005\u1036&#8217;\u104a &#8216;\u1021\u1001\u103c\u1031\u1001\u1036&#8217;\u104a &#8216;stud&#8217;\u104a &#8216;perc&#8217;, &#8216;bca&#8217; \u1014\u103e\u1004\u1037\u103a &#8216;all&#8217; \u1015\u102b\u101b\u103e\u102d\u101e\u100a\u103a &#8211; \u1019\u1030\u101b\u1004\u103a\u1038\u1019\u103e\u102c &#8216;\u1021\u102c\u1038\u101c\u102f\u1036\u1038&#8217;<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1025\u1015\u1019\u102c\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1024\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101c\u1000\u103a\u1010\u103d\u1031\u1037\u1021\u101e\u102f\u1036\u1038\u1001\u103b\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1015\u103c\u101e\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u1025\u1015\u1019\u102c 1- \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1010\u100a\u103a\u1038\u1000\u102d\u102f bootstrap \u101c\u102f\u1015\u103a\u1015\u102b\u104b<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1000\u102f\u1012\u103a\u101e\u100a\u103a \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c \u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u104f <a href=\"https:\/\/statorials.org\/my\/r-\u1014\u103e\u1005\u103a\u1011\u1015\u103a\u1000\u102d\u1014\u103a\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u1031\u102c\u1004\u103a\u1038\u101e\u100a\u103a\u104b\/\" target=\"_blank\" rel=\"noopener noreferrer\">R-squared<\/a> \u1021\u1010\u103d\u1000\u103a \u1005\u1036\u1021\u1019\u103e\u102c\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1015\u103c\u101e\u100a\u103a-<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>set.seed(0)\n<span style=\"color: #993300;\">library<\/span> (boot)\n\n<span style=\"color: #008080;\">#define function to calculate R-squared\n<\/span>rsq_function &lt;- <span style=\"color: #008000;\">function<\/span> (formula, data, indices) {\n  d &lt;- data[indices,] <span style=\"color: #008080;\">#allows boot to select sample<\/span>\n  fit &lt;- lm(formula, data=d) <span style=\"color: #008080;\">#fit regression model<\/span>\n  <span style=\"color: #008000;\">return<\/span> (summary(fit)$r.square) <span style=\"color: #008080;\">#return R-squared of model<\/span>\n}\n<span style=\"color: #008080;\">#perform bootstrapping with 2000 replications\n<\/span>reps &lt;- boot(data=mtcars, statistic=rsq_function, R=2000, formula=mpg~disp)\n\n<span style=\"color: #008080;\">#view results of boostrapping\n<\/span>reps\n\nORDINARY NONPARAMETRIC BOOTSTRAP\n\n\nCall:\nboot(data = mtcars, statistic = rsq_function, R = 2000, formula = mpg ~ \n    available)\n\n\nBootstrap Statistics:\n     original bias std. error\nt1* 0.7183433 0.002164339 0.06513426<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1019\u103e \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u1019\u103c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u1024\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1021\u1010\u103d\u1000\u103a \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038 R-squared \u101e\u100a\u103a <strong>0.7183433<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1024\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103b\u1000\u103a\u1021\u1010\u103d\u1000\u103a \u1005\u1036\u1021\u1019\u103e\u102c\u1038\u1019\u103e\u102c <strong>0.06513426<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">bootstrapped \u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038 \u1016\u103c\u1014\u1037\u103a\u1000\u103b\u1000\u103a\u1019\u103e\u102f\u1000\u102d\u102f\u101c\u100a\u103a\u1038 \u101c\u103b\u1004\u103a\u1019\u103c\u1014\u103a\u1005\u103d\u102c \u1019\u103c\u1004\u103a\u101a\u1031\u102c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>plot(reps)\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11750 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/demarrage1.png\" alt=\"R \u1010\u103d\u1004\u103a bootstrapped \u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038\u104f \u101f\u1005\u103a\u1005\u1010\u102d\u102f\u1002\u101b\u1019\u103a\" width=\"456\" height=\"437\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u1019\u1031\u102c\u103a\u1012\u101a\u103a\u104f \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1011\u102c\u1038\u101e\u1031\u102c R-squared \u1021\u1010\u103d\u1000\u103a 95% \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u102f\u1012\u103a\u1000\u102d\u102f\u101c\u100a\u103a\u1038 \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate adjusted bootstrap percentile (BCa) interval\n<\/span>boot.ci(reps, type=\" <span style=\"color: #008000;\">bca<\/span> \")\n\nCALL: \nboot.ci(boot.out = reps, type = \"bca\")\n\nIntervals: \nLevel BCa          \n95% (0.5350, 0.8188)  \nCalculations and Intervals on Original Scale<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u101b\u101c\u1012\u103a\u1019\u103e\u104a \u1005\u1005\u103a\u1019\u103e\u1014\u103a\u101e\u1031\u102c R-squared \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a bootstrapped 95% \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u101e\u100a\u103a (0.5350\u104a 0.8188) \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1010\u103d\u1031\u1037\u1019\u103c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u1025\u1015\u1019\u102c 2- bootstrap \u1019\u103b\u102c\u1038\u1005\u103d\u102c\u101e\u1031\u102c \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1019\u103b\u102c\u1038<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1000\u102f\u1012\u103a\u101e\u100a\u103a \u1019\u103b\u102c\u1038\u1005\u103d\u102c\u101e\u1031\u102c \u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1010\u103d\u1004\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1021\u1010\u103d\u1000\u103a \u1005\u1036\u1021\u1019\u103e\u102c\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1015\u103c\u101e\u101e\u100a\u103a-<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>set.seed(0)\n<span style=\"color: #993300;\">library<\/span> (boot)\n\n<span style=\"color: #008080;\">#define function to calculate fitted regression coefficients\n<\/span>coef_function &lt;- <span style=\"color: #008000;\">function<\/span> (formula, data, indices) {\n  d &lt;- data[indices,] <span style=\"color: #008080;\">#allows boot to select sample<\/span>\n  fit &lt;- lm(formula, data=d) <span style=\"color: #008080;\">#fit regression model<\/span>\n  <span style=\"color: #008000;\">return<\/span> (coef(fit)) <span style=\"color: #008080;\">#return coefficient estimates of model<\/span>\n}\n\n<span style=\"color: #008080;\">#perform bootstrapping with 2000 replications\n<\/span>reps &lt;- boot(data=mtcars, statistic=coef_function, R=2000, formula=mpg~disp)\n\n<span style=\"color: #008080;\">#view results of boostrapping\n<\/span>reps\n\nORDINARY NONPARAMETRIC BOOTSTRAP\n\n\nCall:\nboot(data = mtcars, statistic = coef_function, R = 2000, formula = mpg ~ \n    available)\n\n\nBootstrap Statistics:\n       original bias std. error\nt1* 29.59985476 -5.058601e-02 1.49354577\nt2* -0.04121512 6.549384e-05 0.00527082<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1019\u103e \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u1019\u103c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1000\u103c\u102c\u1038\u1016\u103c\u1010\u103a\u1021\u1010\u103d\u1000\u103a \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u101e\u100a\u103a <strong>29.59985476<\/strong> \u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u1024\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103b\u1000\u103a\u104f \u1005\u1036\u1021\u1019\u103e\u102c\u1038\u1019\u103e\u102c <strong>1.49354577<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1019\u1031\u102c\u103a\u1012\u101a\u103a\u101b\u103e\u102d \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1019\u103e\u102f \u1015\u103c\u1031\u102c\u1004\u103a\u1038\u101c\u1032\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c <em>disp<\/em> \u1021\u1010\u103d\u1000\u103a \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1019\u103e\u102c <strong>-0.04121512<\/strong> \u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u1024\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103b\u1000\u103a\u104f \u1005\u1036\u1021\u1019\u103e\u102c\u1038\u1019\u103e\u102c <strong>0.00527082<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">bootstrapped \u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038 \u1016\u103c\u1014\u1037\u103a\u1000\u103b\u1000\u103a\u1019\u103e\u102f\u1000\u102d\u102f\u101c\u100a\u103a\u1038 \u101c\u103b\u1004\u103a\u1019\u103c\u1014\u103a\u1005\u103d\u102c \u1019\u103c\u1004\u103a\u101a\u1031\u102c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>plot(reps, index=1) <span style=\"color: #008080;\">#intercept of model<\/span>\nplot(reps, index=2) <span style=\"color: #008080;\">#disp predictor variable\n<\/span><\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11752 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/demarrage2.png\" alt=\"R \u1010\u103d\u1004\u103a Bootstrapping\" width=\"669\" height=\"325\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">coefficient \u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1021\u1010\u103d\u1000\u103a 95% \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1000\u102f\u1012\u103a\u1000\u102d\u102f\u101c\u100a\u103a\u1038 \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate adjusted bootstrap percentile (BCa) intervals\n<\/span>boot.ci(reps, type=\" <span style=\"color: #008000;\">bca<\/span> \", index=1) <span style=\"color: #008080;\">#intercept of model<\/span>\nboot.ci(reps, type=\" <span style=\"color: #008000;\">bca<\/span> \", index=2) <span style=\"color: #008080;\">#disp predictor variable\n<\/span>\nCALL: \nboot.ci(boot.out = reps, type = \"bca\", index = 1)\n\nIntervals: \nLevel BCa          \n95% (26.78, 32.66)  \nCalculations and Intervals on Original Scale\nBOOTSTRAP CONFIDENCE INTERVAL CALCULATIONS\nBased on 2000 bootstrap replicates\n\nCALL: \nboot.ci(boot.out = reps, type = \"bca\", index = 2)\n\nIntervals: \nLevel BCa          \n95% (-0.0520, -0.0312)  \nCalculations and Intervals on Original Scale<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1019\u103e\u104a \u1019\u1031\u102c\u103a\u1012\u101a\u103a coefficients \u1021\u1010\u103d\u1000\u103a bootstrapped 95% \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1010\u103d\u1031\u1037\u1019\u103c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u1000\u103c\u102c\u1038\u1016\u103c\u1010\u103a\u1021\u1010\u103d\u1000\u103a IC- (26.78\u104a 32.66)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><em>disp<\/em> \u1021\u1010\u103d\u1000\u103a CI : (-.0520, -.0312)<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>\u1011\u1015\u103a\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u101b\u1004\u103a\u1038\u1021\u1019\u103c\u1005\u103a\u1019\u103b\u102c\u1038<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/my\/r-\u1010\u103d\u1004\u103a-\u101b\u102d\u102f\u1038\u101b\u102d\u102f\u1038\u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\/\" target=\"_blank\" rel=\"noopener noreferrer\">R \u1010\u103d\u1004\u103a \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c linear regression \u101c\u102f\u1015\u103a\u1014\u100a\u103a\u1038<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/multiple-linear-regression-r\/\" target=\"_blank\" rel=\"noopener noreferrer\">R \u1010\u103d\u1004\u103a linear regression \u1021\u1019\u103b\u102c\u1038\u1021\u1015\u103c\u102c\u1038\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u100a\u103a\u1038<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/\u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1019\u103b\u102c\u1038\/\" target=\"_blank\" rel=\"noopener noreferrer\">Confidence Intervals \u1014\u102d\u1012\u102b\u1014\u103a\u1038<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bootstrapping \u101e\u100a\u103a \u1019\u100a\u103a\u101e\u100a\u1037\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u104f \u1005\u1036\u1021\u1019\u103e\u102c\u1038\u1000\u102d\u102f \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101b\u1014\u103a\u1014\u103e\u1004\u1037\u103a \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1021\u1010\u103d\u1000\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1005\u102d\u1010\u103a\u1001\u103b\u101b\u101e\u1031\u102c \u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u101b\u1014\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u1037\u103a \u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b bootstrapping \u1021\u1010\u103d\u1000\u103a \u1021\u1001\u103c\u1031\u1001\u1036\u101c\u102f\u1015\u103a\u1004\u1014\u103a\u1038\u1005\u1009\u103a\u1019\u103e\u102c \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1015\u1031\u1038\u1011\u102c\u1038\u101e\u1031\u102c\u1012\u1031\u1010\u102c\u1021\u1005\u102f\u1036\u1019\u103e \u1021\u1005\u102c\u1038\u1011\u102d\u102f\u1038\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1004\u1037\u103a k \u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u102f\u1036\u1010\u1030\u1015\u103d\u102c\u1038\u101a\u1030\u1015\u102b\u104b \u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1021\u1010\u103d\u1000\u103a \u1021\u1010\u102d\u102f\u1038\u1014\u103e\u102f\u1014\u103a\u1038\u1005\u102c\u101b\u1004\u103a\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u104b \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1015\u1031\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1021\u1010\u103d\u1000\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f k \u1015\u1031\u1038\u101e\u100a\u103a\u104a \u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u104f \u1005\u1036\u1021\u1019\u103e\u102c\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a\u1014\u103e\u1004\u1037\u103a \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1021\u1010\u103d\u1000\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b bootstrap \u1005\u102c\u1000\u103c\u100a\u1037\u103a\u1010\u102d\u102f\u1000\u103a \u1019\u103e \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d R \u1010\u103d\u1004\u103a bootstrap \u101c\u102f\u1015\u103a\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b 1. bootstrap \u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u1015\u102b\u104b boot(\u1012\u1031\u1010\u102c\u104a \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u104a R\u104a \u2026) [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>R \u1010\u103d\u1004\u103a Bootstrapping \u101c\u102f\u1015\u103a\u1014\u100a\u103a\u1038 (\u1025\u1015\u1019\u102c\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a\u1021\u1010\u1030) - Statology<\/title>\n<meta name=\"description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a 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