{"id":2082,"date":"2023-07-23T19:04:22","date_gmt":"2023-07-23T19:04:22","guid":{"rendered":"https:\/\/statorials.org\/my\/%e1%80%a1%e1%80%af%e1%80%95%e1%80%ba%e1%80%85%e1%80%af%e1%80%85%e1%80%b6%e1%80%9e%e1%80%bd%e1%80%b1%e1%80%96%e1%80%8a%e1%80%ba%e1%80%99%e1%80%be%e1%80%af-r\/"},"modified":"2023-07-23T19:04:22","modified_gmt":"2023-07-23T19:04:22","slug":"%e1%80%a1%e1%80%af%e1%80%95%e1%80%ba%e1%80%85%e1%80%af%e1%80%85%e1%80%b6%e1%80%9e%e1%80%bd%e1%80%b1%e1%80%96%e1%80%8a%e1%80%ba%e1%80%99%e1%80%be%e1%80%af-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/%e1%80%a1%e1%80%af%e1%80%95%e1%80%ba%e1%80%85%e1%80%af%e1%80%85%e1%80%b6%e1%80%9e%e1%80%bd%e1%80%b1%e1%80%96%e1%80%8a%e1%80%ba%e1%80%99%e1%80%be%e1%80%af-r\/","title":{"rendered":"R \u1010\u103d\u1004\u103a clustered standard deviation \u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1014\u100a\u103a\u1038"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u1015\u1031\u102b\u1004\u103a\u1038\u1005\u100a\u103a\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f\u101e\u100a\u103a<\/strong> \u1021\u1019\u103e\u102e\u1021\u1001\u102d\u102f\u1000\u1004\u103a\u1038\u101e\u1031\u102c \u1021\u102f\u1015\u103a\u1005\u102f\u1014\u103e\u1005\u103a\u1001\u102f \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1011\u102d\u102f\u1037\u1011\u1000\u103a\u1015\u102d\u102f\u101e\u1031\u102c \u1021\u102f\u1015\u103a\u1005\u102f\u1019\u103b\u102c\u1038\u104f \u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u104f \u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a\u104a \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u101c\u1030\u1014\u103e\u1005\u103a\u1026\u1038\u104f\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1019\u103b\u102c\u1038 \u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038\u101b\u103e\u102d\u104a \u1019\u101b\u103e\u102d \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u101b\u1014\u103a\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a <a href=\"https:\/\/statorials.org\/my\/\u101e\u1004\u103a\u104f\u1014\u1019\u1030\u1014\u102c\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u102d\u102f-\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1015\u102b\u104b\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u1014\u1019\u1030\u1014\u102c\u1014\u103e\u1005\u103a\u1001\u102f t-test<\/a> \u1010\u103d\u1004\u103a \u1021\u1019\u103b\u102c\u1038\u1006\u102f\u1036\u1038\u1010\u103d\u1031\u1037\u101b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u102f\u1015\u103a\u1005\u102f\u1014\u103e\u1005\u103a\u1005\u102f\u1021\u1010\u103d\u1000\u103a \u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u1021\u1015\u103c\u102f\u1036\u101c\u102d\u102f\u1000\u103a\u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1019\u103e\u102c-<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038\u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a = \u221a <span style=\"border-top: 1px solid black;\">(n <sub>1<\/sub> -1)s <sub>1<\/sub> <sup>2<\/sup> + (n <sub>2<\/sub> -1)s <sub>2<\/sub> <sup>2<\/sup> \/ (n <sub>1<\/sub> +n <sub>2<\/sub> -2)<\/span><\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">\u101b\u103d\u103e\u1031-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong><sub>n1<\/sub> , <sub>n2<\/sub> :<\/strong> \u1021\u102f\u1015\u103a\u1005\u102f 1 \u1014\u103e\u1004\u1037\u103a \u1021\u102f\u1015\u103a\u1005\u102f 2 \u1021\u1010\u103d\u1000\u103a \u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>s <sub>1<\/sub> , s <sub>2<\/sub> :<\/strong> \u1021\u102f\u1015\u103a\u1005\u102f 1 \u1014\u103e\u1004\u1037\u103a \u1021\u102f\u1015\u103a\u1005\u102f 2 \u1021\u1010\u103d\u1000\u103a \u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f \u1021\u101e\u102e\u1038\u101e\u102e\u1038\u104b<\/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 R \u1010\u103d\u1004\u103a \u1021\u102f\u1015\u103a\u1005\u102f\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u103c\u102c\u1038\u1010\u103d\u1004\u103a \u1021\u102f\u1015\u103a\u1005\u102f\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u103c\u102c\u1038\u101b\u103e\u102d \u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1015\u103c\u101e\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038 1- clustered standard deviation \u1000\u102d\u102f \u1000\u102d\u102f\u101a\u103a\u1010\u102d\u102f\u1004\u103a \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u104b<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1014\u1019\u1030\u1014\u102c\u1014\u103e\u1005\u103a\u1001\u102f\u1021\u1010\u103d\u1000\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1010\u103d\u1004\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1012\u1031\u1010\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u101b\u103e\u102d\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u1014\u1019\u1030\u1014\u102c 1<\/strong> : 6\u104a 6\u104a 7\u104a 8\u104a 8\u104a 10\u104a 11\u104a 13\u104a 15\u104a 15\u104a 16\u104a 17\u104a 19\u104a 19\u104a 21<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u1014\u1019\u1030\u1014\u102c \u1042<\/strong> : \u1041\u1040\u104a \u1041\u1041\u104a \u1041\u1043\u104a \u1041\u1043\u104a \u1041\u1045\u104a \u1041\u1047\u104a \u1041\u1047\u104a \u1041\u1049\u104a \u1042\u1040\u104a \u1042\u1042\u104a \u1042\u1044\u104a \u1042\u1045\u104a \u1042\u1047\u104a \u1042\u1049\u104a \u1042\u1049<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u102f\u1012\u103a\u101e\u100a\u103a \u1024\u1014\u1019\u1030\u1014\u102c\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u103c\u102c\u1038\u1010\u103d\u1004\u103a \u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f\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><span style=\"color: #008080;\">#define two samples\n<\/span>data1 &lt;- c(6, 6, 7, 8, 8, 10, 11, 13, 15, 15, 16, 17, 19, 19, 21)\ndata2 &lt;- c(10, 11, 13, 13, 15, 17, 17, 19, 20, 22, 24, 25, 27, 29, 29)\n\n<span style=\"color: #008080;\">#find sample standard deviation of each sample\n<\/span>s1 &lt;- <span style=\"color: #3366ff;\">sd<\/span> (data1)\ns2 &lt; <span style=\"color: #3366ff;\">-sd<\/span> (data2)\n\n<span style=\"color: #008080;\">#find sample size of each sample\n<\/span>n1 &lt;- <span style=\"color: #3366ff;\">length<\/span> (data1)\nn2 &lt;- <span style=\"color: #3366ff;\">length<\/span> (data2)\n\n<span style=\"color: #008080;\">#calculate pooled standard deviation\n<\/span>pooled &lt;- <span style=\"color: #3366ff;\">sqrt<\/span> (((n1-1)*s1^2 + (n2-1)*s2^2) \/ (n1+n1-2))\n\n<span style=\"color: #008080;\">#view pooled standard deviation\n<\/span>pooled\n\n[1] 5.789564\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u1015\u1031\u102b\u1004\u103a\u1038\u1005\u100a\u103a\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f\u101e\u100a\u103a <strong>5.789564<\/strong> \u1016\u103c\u1005\u103a\u101c\u102c\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038 2- Package \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d Clustered Standard Deviation \u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u104b<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">R \u101b\u103e\u102d\u1014\u1019\u1030\u1014\u102c\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u103c\u102c\u1038\u1010\u103d\u1004\u103a \u1015\u1031\u102b\u1004\u103a\u1038\u1005\u100a\u103a\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u1021\u1001\u103c\u102c\u1038\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1019\u103e\u102c <strong>effectize<\/strong> package \u1019\u103e <strong>sd_pooled()<\/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\u101b\u1014\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u102f\u1012\u103a\u101e\u100a\u103a \u1024\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u101c\u1000\u103a\u1010\u103d\u1031\u1037\u1010\u103d\u1004\u103a \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u1015\u103c\u101e\u101e\u100a\u103a-<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #ff0000;\">library<\/span> (effectsize)<\/span>\n\n#define two samples\n<\/span>data1 &lt;- c(6, 6, 7, 8, 8, 10, 11, 13, 15, 15, 16, 17, 19, 19, 21)\ndata2 &lt;- c(10, 11, 13, 13, 15, 17, 17, 19, 20, 22, 24, 25, 27, 29, 29)\n\n<span style=\"color: #008080;\">#calculate pooled standard deviation between two samples\n<\/span>sd_pooled(data1, data2)\n\n[1] 5.789564\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u1015\u1031\u102b\u1004\u103a\u1038\u1005\u100a\u103a\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f\u101e\u100a\u103a <strong>5.789564<\/strong> \u1016\u103c\u1005\u103a\u101c\u102c\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u104e\u1004\u103a\u1038\u101e\u100a\u103a \u101a\u1001\u1004\u103a\u1025\u1015\u1019\u102c\u1010\u103d\u1004\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1000\u102d\u102f\u101a\u103a\u1010\u102d\u102f\u1004\u103a\u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1014\u103e\u1004\u1037\u103a \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u101e\u1010\u102d\u1015\u103c\u102f\u1015\u102b\u104b<\/span><\/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> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1001\u103c\u1004\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1014\u1031\u102c\u1000\u103a\u1011\u1015\u103a\u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u1031\u1038\u1006\u1031\u102c\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/my\/\u1021\u102f\u1015\u103a\u1005\u102f\u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a\/\" target=\"_blank\" rel=\"noopener\">Clustered Standard Deviation \u1014\u102d\u1012\u102b\u1014\u103a\u1038<\/a><br \/> Clustered Standard Deviation Calculator<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u1015\u1031\u102b\u1004\u103a\u1038\u1005\u100a\u103a\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f\u101e\u100a\u103a \u1021\u1019\u103e\u102e\u1021\u1001\u102d\u102f\u1000\u1004\u103a\u1038\u101e\u1031\u102c \u1021\u102f\u1015\u103a\u1005\u102f\u1014\u103e\u1005\u103a\u1001\u102f \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1011\u102d\u102f\u1037\u1011\u1000\u103a\u1015\u102d\u102f\u101e\u1031\u102c \u1021\u102f\u1015\u103a\u1005\u102f\u1019\u103b\u102c\u1038\u104f \u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u104f \u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a\u104a \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u101c\u1030\u1014\u103e\u1005\u103a\u1026\u1038\u104f\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1019\u103b\u102c\u1038 \u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038\u101b\u103e\u102d\u104a \u1019\u101b\u103e\u102d \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u101b\u1014\u103a\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a \u1014\u1019\u1030\u1014\u102c\u1014\u103e\u1005\u103a\u1001\u102f t-test \u1010\u103d\u1004\u103a \u1021\u1019\u103b\u102c\u1038\u1006\u102f\u1036\u1038\u1010\u103d\u1031\u1037\u101b\u101e\u100a\u103a\u104b \u1021\u102f\u1015\u103a\u1005\u102f\u1014\u103e\u1005\u103a\u1005\u102f\u1021\u1010\u103d\u1000\u103a \u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u1021\u1015\u103c\u102f\u1036\u101c\u102d\u102f\u1000\u103a\u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1019\u103e\u102c- \u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038\u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a = \u221a (n 1 -1)s 1 2 + (n 2 -1)s 2 2 \/ (n 1 +n 2 -2) \u101b\u103d\u103e\u1031- n1 , n2 : \u1021\u102f\u1015\u103a\u1005\u102f 1 \u1014\u103e\u1004\u1037\u103a \u1021\u102f\u1015\u103a\u1005\u102f 2 \u1021\u1010\u103d\u1000\u103a \u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038\u104b 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