{"id":1214,"date":"2023-07-27T06:34:51","date_gmt":"2023-07-27T06:34:51","guid":{"rendered":"https:\/\/statorials.org\/my\/multivariate-adaptive-regression-splines-r\/"},"modified":"2023-07-27T06:34:51","modified_gmt":"2023-07-27T06:34:51","slug":"multivariate-adaptive-regression-splines-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/multivariate-adaptive-regression-splines-r\/","title":{"rendered":"R in multivariate adaptive regression splines"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/my\/multivariate-adaptive-regression-splines\/\" target=\"_blank\" rel=\"noopener noreferrer\">Multivariate adaptive regression splines<\/a> (MARS) \u1000\u102d\u102f \u1000\u103c\u102d\u102f\u1010\u1004\u103a\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a \u1021\u1005\u102f\u1036\u1021\u101c\u1004\u103a\u1014\u103e\u1004\u1037\u103a <a href=\"https:\/\/statorials.org\/my\/\u1015\u103c\u1031\u102c\u1004\u103a\u1038\u101c\u1032\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c-\u101b\u103e\u1004\u103a\u1038\u101c\u1004\u103a\u1038\u1001\u103b\u1000\u103a-\u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1019\u103b\u102c\u1038\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a<\/a> \u1010\u1005\u103a\u1001\u102f\u1000\u103c\u102c\u1038 \u101c\u102d\u102f\u1004\u103a\u1038\u1019\u101f\u102f\u1010\u103a\u101e\u1031\u102c \u1006\u1000\u103a\u1006\u1036\u101b\u1031\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1014\u1019\u1030\u1014\u102c\u101a\u1030\u101b\u1014\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong> \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f <em>k<\/em> \u1021\u1015\u102d\u102f\u1004\u103a\u1038\u1019\u103b\u102c\u1038\u1021\u1016\u103c\u1005\u103a \u1015\u102d\u102f\u1004\u103a\u1038\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2.<\/strong> \u1021\u1005\u102d\u1010\u103a\u1021\u1015\u102d\u102f\u1004\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1021\u1010\u103d\u1000\u103a \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1000\u102d\u102f \u1000\u103d\u1000\u103a\u1010\u102d\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3.<\/strong> <em>k<\/em> \u1021\u1010\u103d\u1000\u103a \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u101b\u1014\u103a k-fold \u1021\u1015\u103c\u1014\u103a\u1021\u101c\u103e\u1014\u103a validation \u1000\u102d\u102f \u101e\u102f\u1036\u1038\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a MARS \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1000\u102d\u102f R \u1010\u103d\u1004\u103a\u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a \u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b\u101c\u102f\u1015\u103a\u1014\u100a\u103a\u1038 \u1021\u1006\u1004\u1037\u103a\u1006\u1004\u1037\u103a \u1025\u1015\u1019\u102c\u1000\u102d\u102f \u1015\u1031\u1038\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <strong>\u1021\u1006\u1004\u1037\u103a 1- \u101c\u102d\u102f\u1021\u1015\u103a\u101e\u1031\u102c \u1015\u1000\u103a\u1000\u1031\u1037\u1001\u103a\u103b\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1010\u1004\u103a\u1015\u102b\u104b<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">\u1024\u1025\u1015\u1019\u102c\u1021\u1010\u103d\u1000\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a ISLR <strong>Wage<\/strong> dataset \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u102b\u1019\u100a\u103a <strong>\u104b <em>&nbsp;<\/em><\/strong> \u1021\u101e\u1000\u103a\u104a \u1015\u100a\u102c\u101b\u1031\u1038\u104a \u101c\u1030\u1019\u103b\u102d\u102f\u1038\u104a \u1014\u103e\u1004\u1037\u103a \u1021\u1001\u103c\u102c\u1038\u1021\u101b\u102c\u1019\u103b\u102c\u1038\u1000\u1032\u1037\u101e\u102d\u102f\u1037 \u1000\u103c\u102d\u102f\u1010\u1004\u103a\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c \u1015\u103c\u1031\u102c\u1004\u103a\u1038\u101c\u1032\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c \u1021\u1019\u103b\u102d\u102f\u1038\u1019\u103b\u102d\u102f\u1038\u1014\u103e\u1004\u1037\u103a\u1021\u1010\u1030 \u101c\u1030 3,000 \u104f \u1014\u103e\u1005\u103a\u1005\u1009\u103a\u101c\u1005\u102c\u1019\u103b\u102c\u1038\u1015\u102b\u101b\u103e\u102d\u101e\u1031\u102c \u1015\u1000\u103a\u1000\u1031\u1037\u1001\u103a\u103b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1012\u1031\u1010\u102c\u1014\u103e\u1004\u1037\u103a MARS \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1000\u102d\u102f \u1010\u1015\u103a\u1006\u1004\u103a\u1001\u103c\u1004\u103a\u1038\u1019\u1015\u103c\u102f\u1019\u102e\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u101c\u102d\u102f\u1021\u1015\u103a\u101e\u1031\u102c \u1015\u1000\u103a\u1000\u1031\u1037\u1002\u103b\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1010\u1004\u103a\u1015\u102b\u1019\u100a\u103a-<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #993300;\">library<\/span> (ISLR) <span style=\"color: #008080;\">#contains Wage dataset<\/span>\n<span style=\"color: #993300;\">library<\/span> (dplyr) <span style=\"color: #008080;\">#data wrangling<\/span>\n<span style=\"color: #993300;\">library<\/span> (ggplot2) <span style=\"color: #008080;\">#plotting<\/span>\n<span style=\"color: #993300;\">library<\/span> (earth) <span style=\"color: #008080;\">#fitting MARS models<\/span>\n<span style=\"color: #993300;\">library<\/span> (caret) <span style=\"color: #008080;\">#tuning model parameters<\/span>\n<\/strong><\/pre>\n<h3> <strong>\u1021\u1006\u1004\u1037\u103a 2: \u1012\u1031\u1010\u102c\u1000\u102d\u102f\u1000\u103c\u100a\u1037\u103a\u101b\u103e\u102f\u1015\u102b\u104b<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1014\u103e\u1004\u1037\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u1031\u101e\u1031\u102c \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u104f \u1015\u1011\u1019\u1001\u103c\u1031\u102c\u1000\u103a\u1010\u1014\u103a\u1038\u1000\u102d\u102f \u1015\u103c\u101e\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #000000;\"><span style=\"color: #008080;\">#view first six rows of data<\/span>\nhead<\/span> (Wage)\n\n       year age maritl race education region\n231655 2006 18 1. Never Married 1. White 1. &lt; HS Grad 2. Middle Atlantic\n86582 2004 24 1. Never Married 1. White 4. College Grad 2. Middle Atlantic\n161300 2003 45 2. Married 1. White 3. Some College 2. Middle Atlantic\n155159 2003 43 2. Married 3. Asian 4. College Grad 2. Middle Atlantic\n11443 2005 50 4. Divorced 1. White 2. HS Grad 2. Middle Atlantic\n376662 2008 54 2. Married 1. White 4. College Grad 2. Middle Atlantic\n             jobclass health health_ins logwage wage\n231655 1. Industrial 1. &lt;=Good 2. No 4.318063 75.04315\n86582 2. Information 2. &gt;=Very Good 2. No 4.255273 70.47602\n161300 1. Industrial 1. &lt;=Good 1. Yes 4.875061 130.98218\n155159 2. Information 2. &gt;=Very Good 1. Yes 5.041393 154.68529\n11443 2. Information 1. &lt;=Good 1. Yes 4.318063 75.04315\n376662 2. Information 2. &gt;=Very Good 1. Yes 4.845098 127.11574\n<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 3- MARS \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u1015\u103c\u102e\u1038 \u1021\u1000\u1031\u102c\u1004\u103a\u1038\u1006\u102f\u1036\u1038\u1016\u103c\u1005\u103a\u1021\u1031\u102c\u1004\u103a \u101c\u102f\u1015\u103a\u1015\u102b\u104b<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1024\u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1021\u1010\u103d\u1000\u103a MARS \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u1015\u103c\u102e\u1038 \u1019\u100a\u103a\u101e\u100a\u1037\u103a\u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1000 \u1021\u1014\u102d\u1019\u1037\u103a\u1006\u102f\u1036\u1038\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f RMSE (\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1021\u1019\u103e\u102c\u1038) \u1000\u102d\u102f\u1011\u102f\u1010\u103a\u1015\u1031\u1038\u101e\u100a\u103a\u1000\u102d\u102f \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a <a href=\"https:\/\/statorials.org\/my\/k-cross-validation-\u1000\u102d\u102f-\u1001\u1031\u102b\u1000\u103a\u1015\u102b\u104b\/\" target=\"_blank\" rel=\"noopener noreferrer\">k-fold \u1016\u103c\u1010\u103a\u1000\u103b\u1031\u102c\u103a\u1005\u1005\u103a\u1006\u1031\u1038\u1001\u103c\u1004\u103a\u1038\u1000\u102d\u102f<\/a> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #000000;\"><span style=\"color: #008080;\">#create a tuning grid\n<\/span>hyper_grid &lt;- expand. <span style=\"color: #3366ff;\">grid<\/span> (degree = 1:3,\n                          nprune = <span style=\"color: #3366ff;\">seq<\/span> (2, 50, length.out = 10) <span style=\"color: #3366ff;\">%&gt;%<\/span>\n<span style=\"color: #3366ff;\">floor<\/span> ())\n\n<span style=\"color: #008080;\">#make this example reproducible\n<\/span>set.seed(1)\n\n<span style=\"color: #008080;\">#fit MARS model using k-fold cross-validation\n<\/span>cv_mars &lt;- train(\n  x = subset(Wage, select = -c(wage, logwage)),\n  y = Wage$wage,\n  method = \" <span style=\"color: #008000;\">earth<\/span> \",\n  metric = \" <span style=\"color: #008000;\">RMSE<\/span> \",\n  trControl = trainControl(method = \" <span style=\"color: #008000;\">cv<\/span> \", number = 10),\n  tuneGrid = hyper_grid)\n\n<span style=\"color: #008080;\">#display model with lowest test RMSE<\/span>\ncv_mars$results <span style=\"color: #3366ff;\">%&gt;%<\/span>\n  <span style=\"color: #3366ff;\">filter<\/span> (nprune==cv_mars$bestTune$nprune, degree =cv_mars$bestTune$degree)    \ndegree nprune RMSE Rsquared MAE RMSESD RsquaredSD MAESD\t\t\n1 12 33.8164 0.3431804 22.97108 2.240394 0.03064269 1.4554\n<\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1019\u103e\u104a \u1021\u1014\u102d\u1019\u1037\u103a\u1006\u102f\u1036\u1038\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f MSE \u1000\u102d\u102f\u1011\u102f\u1010\u103a\u101c\u102f\u1015\u103a\u101e\u100a\u1037\u103a\u1019\u1031\u102c\u103a\u1012\u101a\u103a\u101e\u100a\u103a \u1015\u1011\u1019\u1019\u103e\u102c\u101a\u1030\u1019\u103e\u102f\u1021\u1000\u103b\u102d\u102f\u1038\u101e\u1000\u103a\u101b\u1031\u102c\u1000\u103a\u1019\u103e\u102f\u1019\u103b\u102c\u1038 (\u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u1021\u1015\u103c\u1014\u103a\u1021\u101c\u103e\u1014\u103a\u1021\u101e\u102f\u1036\u1038\u1021\u1014\u103e\u102f\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1019\u101b\u103e\u102d) \u1014\u103e\u1004\u1037\u103a \u1005\u100a\u103a\u1038\u1000\u1019\u103a\u1038\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038 12 \u1001\u102f\u101e\u102c\u101b\u103e\u102d\u101e\u1031\u102c \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1016\u103c\u1005\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \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 \u1024\u1019\u1031\u102c\u103a\u1012\u101a\u103a\u101e\u100a\u103a <strong>33.8164<\/strong> \u104f root mean square error (RMSE) \u1000\u102d\u102f \u1011\u102f\u1010\u103a\u101c\u102f\u1015\u103a\u1001\u1032\u1037\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <em><span style=\"color: #000000;\"><strong>\u1019\u103e\u1010\u103a\u1001\u103b\u1000\u103a-<\/strong> MARS \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1000\u102d\u102f \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a method=\u201dearth\u201d \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1001\u1032\u1037\u101e\u100a\u103a\u104b \u1024\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1021\u1010\u103d\u1000\u103a \u1005\u102c\u101b\u103d\u1000\u103a\u1005\u102c\u1010\u1019\u103a\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f <a href=\"https:\/\/rdrr.io\/cran\/earth\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u1024\u1014\u1031\u101b\u102c\u1010\u103d\u1004\u103a<\/a> \u101b\u103e\u102c\u1016\u103d\u1031\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/em><\/p>\n<p> <span style=\"color: #000000;\">\u1012\u102e\u1002\u101b\u102e\u1014\u103e\u1004\u1037\u103a \u1005\u100a\u103a\u1038\u1000\u1019\u103a\u1038\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1021\u1015\u1031\u102b\u103a\u1021\u1001\u103c\u1031\u1001\u1036\u104d RMSE \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1000\u102d\u102f \u1019\u103c\u1004\u103a\u101e\u102c\u1005\u1031\u101b\u1014\u103a \u1007\u101a\u102c\u1038\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f\u101c\u100a\u103a\u1038 \u1016\u1014\u103a\u1010\u102e\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #000000;\"><span style=\"color: #008080;\">#display test RMSE by terms and degree<\/span>\nggplot(cv_mars)\n<\/span><\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12023 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mars1.png\" alt=\"MARS \u1019\u1031\u102c\u103a\u1012\u101a\u103a R\" width=\"431\" height=\"439\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u101c\u1000\u103a\u1010\u103d\u1031\u1037\u1010\u103d\u1004\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a MARS \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1000\u102d\u102f \u1021\u1001\u103c\u102c\u1038\u101e\u1031\u102c \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u101c\u103a\u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1019\u103b\u102c\u1038\u1005\u103d\u102c\u1014\u103e\u1004\u1037\u103a \u1015\u1031\u102b\u1004\u103a\u1038\u1005\u1015\u103a\u1011\u102c\u1038\u101e\u100a\u103a-<\/span><\/p>\n<ul>\n<li> <a href=\"https:\/\/statorials.org\/my\/multiple-linear-regression-r\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f \u1021\u1019\u103b\u102c\u1038\u1021\u1015\u103c\u102c\u1038<\/a><\/li>\n<li> <a href=\"https:\/\/statorials.org\/my\/polynomial-regression-r\/\" target=\"_blank\" rel=\"noopener noreferrer\">Polynomial \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f<\/a><\/li>\n<li> <a href=\"https:\/\/statorials.org\/my\/r-\u1010\u103d\u1004\u103a-crest-regression\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f \u1021\u1011\u103d\u1010\u103a\u1021\u1011\u102d\u1015\u103a<\/a><\/li>\n<li> <a href=\"https:\/\/statorials.org\/my\/r-\u1010\u103d\u1004\u103a-lasso-\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\/\" target=\"_blank\" rel=\"noopener noreferrer\">Lasso \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f<\/a><\/li>\n<li> <a href=\"https:\/\/statorials.org\/my\/r-\u1010\u103d\u1004\u103a-\u1021\u1013\u102d\u1000-\u1021\u1005\u102d\u1010\u103a\u1021\u1015\u102d\u102f\u1004\u103a\u1038\u1019\u103b\u102c\u1038-\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u1021\u1013\u102d\u1000 \u1021\u1005\u102d\u1010\u103a\u1021\u1015\u102d\u102f\u1004\u103a\u1038\u1019\u103b\u102c\u1038 \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1001\u103c\u1004\u103a\u1038\u104b<\/a><\/li>\n<li> <a href=\"https:\/\/statorials.org\/my\/r-\u1010\u103d\u1004\u103a-\u1010\u1005\u103a\u1005\u102d\u1010\u103a\u1010\u1005\u103a\u1015\u102d\u102f\u1004\u103a\u1038-\u1021\u1014\u100a\u103a\u1038\u1006\u102f\u1036\u1038\u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1019\u103b\u102c\u1038\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u1010\u1005\u103a\u1005\u102d\u1010\u103a\u1010\u1005\u103a\u1015\u102d\u102f\u1004\u103a\u1038 \u1021\u1014\u100a\u103a\u1038\u1006\u102f\u1036\u1038 \u101c\u1031\u1038\u1011\u1031\u102c\u1004\u1037\u103a\u1019\u103b\u102c\u1038<\/a><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1021\u1014\u102d\u1019\u1037\u103a\u1006\u102f\u1036\u1038\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1021\u1019\u103e\u102c\u1038\u101e\u102d\u102f\u1037 \u1026\u1038\u1010\u100a\u103a\u101e\u103d\u102c\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1000\u102d\u102f \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u1015\u103c\u102e\u1038 \u1011\u102d\u102f\u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1014\u103a \u1021\u1000\u1031\u102c\u1004\u103a\u1038\u1006\u102f\u1036\u1038\u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1021\u1016\u103c\u1005\u103a \u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u1025\u1015\u1019\u102c\u1010\u103d\u1004\u103a\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u1031\u102c R \u1000\u102f\u1012\u103a\u1021\u1015\u103c\u100a\u1037\u103a\u1021\u1005\u102f\u1036\u1000\u102d\u102f <a href=\"https:\/\/github.com\/Statorials\/R-Guides\/blob\/main\/multivariate_adaptive_regression_splines.R\" target=\"_blank\" rel=\"noopener noreferrer\">\u1024\u1014\u1031\u101b\u102c\u1010\u103d\u1004\u103a<\/a> \u1010\u103d\u1031\u1037\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Multivariate adaptive regression splines (MARS) \u1000\u102d\u102f \u1000\u103c\u102d\u102f\u1010\u1004\u103a\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a \u1021\u1005\u102f\u1036\u1021\u101c\u1004\u103a\u1014\u103e\u1004\u1037\u103a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a \u1010\u1005\u103a\u1001\u102f\u1000\u103c\u102c\u1038 \u101c\u102d\u102f\u1004\u103a\u1038\u1019\u101f\u102f\u1010\u103a\u101e\u1031\u102c \u1006\u1000\u103a\u1006\u1036\u101b\u1031\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1014\u1019\u1030\u1014\u102c\u101a\u1030\u101b\u1014\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b \u1024\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101e\u100a\u103a\u104b 1. \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f k \u1021\u1015\u102d\u102f\u1004\u103a\u1038\u1019\u103b\u102c\u1038\u1021\u1016\u103c\u1005\u103a \u1015\u102d\u102f\u1004\u103a\u1038\u1015\u102b\u104b 2. \u1021\u1005\u102d\u1010\u103a\u1021\u1015\u102d\u102f\u1004\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1021\u1010\u103d\u1000\u103a \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1000\u102d\u102f \u1000\u103d\u1000\u103a\u1010\u102d\u1015\u102b\u104b 3. k \u1021\u1010\u103d\u1000\u103a \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u101b\u1014\u103a k-fold \u1021\u1015\u103c\u1014\u103a\u1021\u101c\u103e\u1014\u103a validation \u1000\u102d\u102f \u101e\u102f\u1036\u1038\u1015\u102b\u104b \u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a MARS \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1000\u102d\u102f R \u1010\u103d\u1004\u103a\u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a \u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b\u101c\u102f\u1015\u103a\u1014\u100a\u103a\u1038 \u1021\u1006\u1004\u1037\u103a\u1006\u1004\u1037\u103a \u1025\u1015\u1019\u102c\u1000\u102d\u102f \u1015\u1031\u1038\u1015\u102b\u101e\u100a\u103a\u104b \u1021\u1006\u1004\u1037\u103a 1- \u101c\u102d\u102f\u1021\u1015\u103a\u101e\u1031\u102c \u1015\u1000\u103a\u1000\u1031\u1037\u1001\u103a\u103b\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1010\u1004\u103a\u1015\u102b\u104b \u1024\u1025\u1015\u1019\u102c\u1021\u1010\u103d\u1000\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a ISLR Wage [&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 - Statorials \u1010\u103d\u1004\u103a \u1021\u101c\u102d\u102f\u1000\u103a\u101e\u1004\u1037\u103a \u101c\u102d\u102f\u1000\u103a\u101c\u103b\u1031\u102c\u100a\u102e\u1011\u103d\u1031\u101b\u103e\u102d\u101e\u1031\u102c \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f Splines \u1019\u103b\u102d\u102f\u1038\u1005\u102f\u1036<\/title>\n<meta name=\"description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u101e\u100a\u103a \u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1004\u1037\u103a R \u101b\u103e\u102d \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a multivariate adaptive regression splines \u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b\u1016\u103c\u1005\u103a\u1021\u1031\u102c\u1004\u103a \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/my\/multivariate-adaptive-regression-splines-r\/\" \/>\n<meta property=\"og:locale\" content=\"my_MM\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R - Statorials \u1010\u103d\u1004\u103a \u1021\u101c\u102d\u102f\u1000\u103a\u101e\u1004\u1037\u103a \u101c\u102d\u102f\u1000\u103a\u101c\u103b\u1031\u102c\u100a\u102e\u1011\u103d\u1031\u101b\u103e\u102d\u101e\u1031\u102c \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f Splines \u1019\u103b\u102d\u102f\u1038\u1005\u102f\u1036\" \/>\n<meta property=\"og:description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u101e\u100a\u103a \u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1004\u1037\u103a R \u101b\u103e\u102d \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a multivariate adaptive regression splines \u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b\u1016\u103c\u1005\u103a\u1021\u1031\u102c\u1004\u103a \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/my\/multivariate-adaptive-regression-splines-r\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-27T06:34:51+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mars1.png\" \/>\n<meta name=\"author\" content=\"Benjamin Anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin Anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" 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