{"id":1113,"date":"2023-07-27T15:08:14","date_gmt":"2023-07-27T15:08:14","guid":{"rendered":"https:\/\/statorials.org\/my\/r-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-autocorrelation\/"},"modified":"2023-07-27T15:08:14","modified_gmt":"2023-07-27T15:08:14","slug":"r-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-autocorrelation","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/r-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-autocorrelation\/","title":{"rendered":"R \u1010\u103d\u1004\u103a autocorrelation \u1000\u102d\u102f\u1018\u101a\u103a\u101c\u102d\u102f\u1010\u103d\u1000\u103a\u101b\u1019\u101c\u1032"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Autocorrelation \u101e\u100a\u103a<\/strong> \u1021\u1001\u103b\u102d\u1014\u103a\u1021\u1015\u102d\u102f\u1004\u103a\u1038\u1021\u1001\u103c\u102c\u1038\u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a \u1010\u1005\u103a\u1001\u102f\u1021\u1000\u103c\u102c\u1038 \u1000\u103d\u102c\u101f\u1014\u1031\u101e\u1031\u102c \u1017\u102c\u1038\u101b\u103e\u1004\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1000\u103c\u102c\u1038 \u1010\u1030\u100a\u102e\u1019\u103e\u102f\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1021\u1010\u102c\u1000\u102d\u102f \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u104f \u101c\u1000\u103a\u101b\u103e\u102d\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u104f\u101e\u1019\u102d\u102f\u1004\u103a\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038 \u1006\u1000\u103a\u1014\u103d\u101a\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u1000\u102d\u102f \u1010\u1005\u103a\u1001\u102b\u1010\u1005\u103a\u101b\u1036\u1010\u103d\u1004\u103a &#8220; serial correlation&#8221;  \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a &#8220; lagged correlation&#8221;  \u101f\u102f\u1001\u1031\u102b\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1001\u103b\u102d\u1014\u103a\u1005\u102e\u1038\u101b\u102e\u1038\u1010\u1005\u103a\u1001\u102f\u101b\u103e\u102d autocorrelation \u1019\u103c\u1004\u1037\u103a\u1019\u102c\u1038\u101e\u1031\u102c\u1021\u1001\u102b\u104a \u1021\u1010\u102d\u1010\u103a\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101b\u100a\u103a\u100a\u103d\u103e\u1014\u103a\u1038\u101b\u102f\u1036\u1016\u103c\u1004\u1037\u103a \u1021\u1014\u102c\u1002\u1010\u103a\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101b\u1014\u103a \u101c\u103d\u101a\u103a\u1000\u1030\u101c\u102c\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <strong>R \u1010\u103d\u1004\u103a autocorrelation \u1000\u102d\u102f\u1018\u101a\u103a\u101c\u102d\u102f\u1010\u103d\u1000\u103a\u101b\u1019\u101c\u1032<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">\u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1000\u102c\u101c 15 \u1001\u102f\u1021\u1010\u103d\u1000\u103a \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1011\u102c\u1038\u101e\u1031\u102c variable \u104f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f\u1015\u103c\u101e\u101e\u1031\u102c R \u1010\u103d\u1004\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b time series \u101b\u103e\u102d\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define data<\/span>\nx &lt;- c(22, 24, 25, 25, 28, 29, 34, 37, 40, 44, 51, 48, 47, 50, 51)\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><strong>tseries<\/strong> \u1012\u1005\u103a\u1002\u103b\u1005\u103a\u1010\u102d\u102f\u1000\u103a\u1019\u103e <strong>acf()<\/strong> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u1021\u1001\u103b\u102d\u1014\u103a\u1005\u102e\u1038\u101b\u102e\u1038\u101b\u103e\u102d \u1015\u103c\u1010\u103a\u1010\u1031\u102c\u1000\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1021\u1010\u103d\u1000\u103a \u1021\u101c\u102d\u102f\u1021\u101c\u103b\u1031\u102c\u1000\u103a\u1006\u1000\u103a\u1005\u1015\u103a\u1006\u1000\u103a\u1005\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\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: #107d3f;\"><span style=\"color: #993300;\">library<\/span> <span style=\"color: #000000;\">(tseries)<\/span>\n<\/span><\/span>\n<span style=\"color: #008080;\">#calculate autocorrelations<\/span>\nacf(x, pl= <span style=\"color: #008000;\">FALSE<\/span> )\n\n     0 1 2 3 4 5 6 7 8 9 10 \n 1.000 0.832 0.656 0.491 0.279 0.031 -0.165 -0.304 -0.401 -0.458 -0.450 \n    11 \n-0.369 \n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u101b\u101c\u1012\u103a\u1000\u102d\u102f \u1021\u1013\u102d\u1015\u1039\u1015\u102c\u101a\u103a\u1016\u103d\u1004\u1037\u103a\u1006\u102d\u102f\u101b\u1014\u103a \u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\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;\">lag 0 \u1010\u103d\u1004\u103a autocorrelation \u101e\u100a\u103a <strong>1<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">lag 1 \u1010\u103d\u1004\u103a autocorrelation \u101e\u100a\u103a <strong>0.832<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">lag 2 \u1010\u103d\u1004\u103a autocorrelation \u101e\u100a\u103a <strong>0.656<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">lag 3 \u1010\u103d\u1004\u103a autocorrelation \u101e\u100a\u103a <strong>0.491<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1014\u1031\u102c\u1000\u103a &#8230; \u1015\u103c\u102e\u1038\u1010\u1031\u102c\u1037\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>lag<\/strong> \u1021\u1004\u103c\u1004\u103a\u1038\u1021\u1001\u102f\u1036\u1016\u103c\u1004\u1037\u103a\u1015\u103c\u101e\u101b\u1014\u103a \u1014\u1031\u102c\u1000\u103a\u1000\u103b\u1001\u103c\u1004\u103a\u1038\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1000\u102d\u102f\u101c\u100a\u103a\u1038 \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate autocorrelations up to lag=5<\/span>\nacf(x, lag=5, pl= <span style=\"color: #008000;\">FALSE<\/span> )\n\nAutocorrelations of series 'x', by lag\n\n    0 1 2 3 4 5 \n1.000 0.832 0.656 0.491 0.279 0.031<\/strong><\/pre>\n<h3> <strong>R \u1010\u103d\u1004\u103a autocorrelation function \u1000\u102d\u102f\u1018\u101a\u103a\u101c\u102d\u102f\u1006\u103d\u1032\u1019\u101c\u1032\u104b<\/strong><\/h3>\n<p> <span style=\"color: #000000;\"><strong>pl=FALSE<\/strong> \u1021\u1004\u103c\u1004\u103a\u1038\u1021\u1001\u102f\u1036\u1000\u102d\u102f \u1019\u101e\u102f\u1036\u1038\u1018\u1032 R \u1010\u103d\u1004\u103a \u1021\u1001\u103b\u102d\u1014\u103a\u1005\u102e\u1038\u101b\u102e\u1038\u1010\u1005\u103a\u1001\u102f\u1021\u1010\u103d\u1000\u103a autocorrelation \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u1005\u102e\u1005\u1009\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#plot autocorrelation function\n<\/span>acf(x)\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11307 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/autocorrelationr1.png\" alt=\"R \u1010\u103d\u1004\u103a \u1021\u101c\u102d\u102f\u1021\u101c\u103b\u1031\u102c\u1000\u103a\u1006\u1000\u103a\u1005\u1015\u103a\u1019\u103e\u102f\" width=\"428\" height=\"435\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">x-axis \u101e\u100a\u103a lags \u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1000\u102d\u102f\u1015\u103c\u101e\u1015\u103c\u102e\u1038 y-axis \u101e\u100a\u103a \u1021\u1006\u102d\u102f\u1015\u102b lags \u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1010\u103d\u1004\u103a autocorrelation \u1000\u102d\u102f\u1015\u103c\u101e\u101e\u100a\u103a\u104b \u1015\u102f\u1036\u101e\u1031\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u1000\u103d\u1000\u103a\u1000\u103d\u1000\u103a\u101e\u100a\u103a lag = 0 \u1010\u103d\u1004\u103a\u1005\u1010\u1004\u103a\u1015\u103c\u102e\u1038 autocorrelation \u101e\u100a\u103a lag = 0 \u1010\u103d\u1004\u103a \u1021\u1019\u103c\u1032\u1010\u1019\u103a\u1038 <strong>1<\/strong> \u1016\u103c\u1005\u103a\u101c\u102d\u1019\u1037\u103a\u1019\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1015\u1004\u103a\u1019<\/strong> \u1021\u1004\u103c\u1004\u103a\u1038\u1021\u1001\u102f\u1036\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u1007\u102c\u1010\u103a\u1000\u103d\u1000\u103a\u1021\u1010\u103d\u1000\u103a \u1021\u1001\u103c\u102c\u1038\u1001\u1031\u102b\u1004\u103a\u1038\u1005\u1009\u103a\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f\u101c\u100a\u103a\u1038 \u101e\u1004\u103a\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#plot autocorrelation function with custom title\n<\/span>acf(x, main=' <span style=\"color: #008000;\">Autocorrelation by Lag<\/span> ')<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11309 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/autocorrelationr2.png\" alt=\"R \u1010\u103d\u1004\u103a Autocorrelation \u1000\u103d\u1000\u103a\" width=\"437\" height=\"430\" srcset=\"\" sizes=\"\"><\/p>\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\/autocorrelation-python\/\" target=\"_blank\" rel=\"noopener noreferrer\">Python \u1010\u103d\u1004\u103a Autocorrelation \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u100a\u103a\u1038<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/excel-autocorrelation\/\" target=\"_blank\" rel=\"noopener noreferrer\">Excel \u1010\u103d\u1004\u103a Autocorrelation \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u100a\u103a\u1038<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Autocorrelation \u101e\u100a\u103a \u1021\u1001\u103b\u102d\u1014\u103a\u1021\u1015\u102d\u102f\u1004\u103a\u1038\u1021\u1001\u103c\u102c\u1038\u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a \u1010\u1005\u103a\u1001\u102f\u1021\u1000\u103c\u102c\u1038 \u1000\u103d\u102c\u101f\u1014\u1031\u101e\u1031\u102c \u1017\u102c\u1038\u101b\u103e\u1004\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1000\u103c\u102c\u1038 \u1010\u1030\u100a\u102e\u1019\u103e\u102f\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1021\u1010\u102c\u1000\u102d\u102f \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u101e\u100a\u103a\u104b \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u104f \u101c\u1000\u103a\u101b\u103e\u102d\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u104f\u101e\u1019\u102d\u102f\u1004\u103a\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038 \u1006\u1000\u103a\u1014\u103d\u101a\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u1000\u102d\u102f \u1010\u1005\u103a\u1001\u102b\u1010\u1005\u103a\u101b\u1036\u1010\u103d\u1004\u103a &#8220; serial correlation&#8221; \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a &#8220; lagged correlation&#8221; \u101f\u102f\u1001\u1031\u102b\u103a\u101e\u100a\u103a\u104b \u1021\u1001\u103b\u102d\u1014\u103a\u1005\u102e\u1038\u101b\u102e\u1038\u1010\u1005\u103a\u1001\u102f\u101b\u103e\u102d autocorrelation \u1019\u103c\u1004\u1037\u103a\u1019\u102c\u1038\u101e\u1031\u102c\u1021\u1001\u102b\u104a \u1021\u1010\u102d\u1010\u103a\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101b\u100a\u103a\u100a\u103d\u103e\u1014\u103a\u1038\u101b\u102f\u1036\u1016\u103c\u1004\u1037\u103a \u1021\u1014\u102c\u1002\u1010\u103a\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101b\u1014\u103a \u101c\u103d\u101a\u103a\u1000\u1030\u101c\u102c\u1015\u102b\u101e\u100a\u103a\u104b R \u1010\u103d\u1004\u103a autocorrelation \u1000\u102d\u102f\u1018\u101a\u103a\u101c\u102d\u102f\u1010\u103d\u1000\u103a\u101b\u1019\u101c\u1032 \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1000\u102c\u101c 15 \u1001\u102f\u1021\u1010\u103d\u1000\u103a \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1011\u102c\u1038\u101e\u1031\u102c variable \u104f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f\u1015\u103c\u101e\u101e\u1031\u102c R \u1010\u103d\u1004\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b time series \u101b\u103e\u102d\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b #define data x &lt;- c(22, 24, 25, 25, [&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 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