{"id":2231,"date":"2023-07-23T03:59:05","date_gmt":"2023-07-23T03:59:05","guid":{"rendered":"https:\/\/statorials.org\/my\/z-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba%e1%80%99%e1%80%be%e1%80%af-r\/"},"modified":"2023-07-23T03:59:05","modified_gmt":"2023-07-23T03:59:05","slug":"z-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba%e1%80%99%e1%80%be%e1%80%af-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/z-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba%e1%80%99%e1%80%be%e1%80%af-r\/","title":{"rendered":"R \u1010\u103d\u1004\u103a \u1014\u1019\u1030\u1014\u102c z tests \u1014\u103e\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1014\u100a\u103a\u1038"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">R \u1010\u103d\u1004\u103a \u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a \u1025\u1015\u1019\u102c z \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1014\u103a <strong>BSDA<\/strong> \u1015\u1000\u103a\u1000\u1031\u1037\u1001\u103a\u103b\u1019\u103e <strong>z.test()<\/strong> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u101e\u1004\u103a\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1001\u103c\u1031\u1001\u1036 syntax \u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a-<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span class=\"pre\">z.test(x, y, alternative=' <span style=\"color: #ff0000;\">two.sided<\/span> ', mu= <span style=\"color: #008000;\">0 <span style=\"color: #000000;\">,<\/span> <span style=\"color: #000000;\">sigma.x=NULL, sigma.y=NULL,conf.level= <span style=\"color: #008000;\">.95<\/span><\/span><\/span> )<\/span>\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u101b\u103d\u103e\u1031-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x<\/strong> : \u1015\u1011\u1019\u1014\u1019\u1030\u1014\u102c\u104f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>y<\/strong> : \u1012\u102f\u1010\u102d\u101a\u1014\u1019\u1030\u1014\u102c\u1021\u1010\u103d\u1000\u103a \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038 (\u1025\u1015\u1019\u102c z \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1014\u103e\u1005\u103a\u1001\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u1031\u1015\u102b\u1000)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u1021\u1001\u103c\u102c\u1038\u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u1019\u103e\u102f<\/strong> &#8211; \u1021\u1001\u103c\u102c\u1038\u101a\u1030\u1006\u1001\u103b\u1000\u103a (&#8220; \u1015\u102d\u102f&#8221; \u104a &#8220; \u1014\u100a\u103a\u1038&#8221; \u104a &#8220; \u1019\u103b\u1000\u103a\u1014\u103e\u102c\u1014\u103e\u1005\u103a\u1001\u102f&#8221; )<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>mu<\/strong> : \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e \u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1001\u103b\u1000\u103a \u101e\u102f\u100a \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e (\u1014\u1019\u1030\u1014\u102c \u1014\u103e\u1005\u103a\u1001\u102f\u1021\u1010\u103d\u1000\u103a)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>sigma.x<\/strong> : \u1015\u1011\u1019\u1014\u1019\u1030\u1014\u102c\u104f \u101c\u1030\u1026\u1038\u101b\u1031\u104f \u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>sigma.y<\/strong> : \u1012\u102f\u1010\u102d\u101a\u1014\u1019\u1030\u1014\u102c\u104f \u101c\u1030\u1026\u1038\u101b\u1031\u104f \u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>conf.level<\/strong> : \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1014\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a<\/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\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<h2> <span style=\"color: #000000;\"><strong>\u1025\u1015\u1019\u102c 1- R \u1010\u103d\u1004\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1014\u1019\u1030\u1014\u102c Z<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u101c\u1030\u1021\u1001\u103b\u102d\u102f\u1037\u104f IQ \u1000\u102d\u102f \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u00b5 = 100 \u1014\u103e\u1004\u1037\u103a \u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f \u03c3 = 15 \u1016\u103c\u1004\u1037\u103a \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1006\u1031\u1038\u1021\u101e\u1005\u103a\u101e\u100a\u103a IQ \u1021\u1006\u1004\u1037\u103a\u1000\u102d\u102f \u101e\u1000\u103a\u101b\u1031\u102c\u1000\u103a\u1019\u103e\u102f\u101b\u103e\u102d\u1019\u101b\u103e\u102d \u101e\u102d\u101c\u102d\u102f\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u101e\u1030\u1019\u101e\u100a\u103a \u104e\u1004\u103a\u1038\u1000\u102d\u102f \u1010\u1005\u103a\u101c\u1000\u103c\u102c\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1014\u103a \u101c\u1030\u1014\u102c \u1021\u101a\u1031\u102c\u1000\u103a \u1042\u1040 \u1000\u102d\u102f \u1005\u102f\u1006\u1031\u102c\u1004\u103a\u1038\u1000\u102c \u101c\u1000\u102f\u1014\u103a\u1010\u103d\u1004\u103a \u104e\u1004\u103a\u1038\u1010\u102d\u102f\u1037\u104f IQ \u1021\u1006\u1004\u1037\u103a\u1000\u102d\u102f \u1019\u103e\u1010\u103a\u1010\u1019\u103a\u1038\u1010\u1004\u103a\u1001\u1032\u1037\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1006\u1031\u1038\u101d\u102b\u1038\u1021\u101e\u1005\u103a\u101e\u100a\u103a IQ \u1021\u1006\u1004\u1037\u103a\u1000\u102d\u102f \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u1005\u103d\u102c \u1001\u103c\u102c\u1038\u1014\u102c\u1038\u1005\u1031\u1001\u103c\u1004\u103a\u1038 \u101b\u103e\u102d\u104a \u1019\u101b\u103e\u102d \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a R \u1010\u103d\u1004\u103a \u1014\u1019\u1030\u1014\u102c z-test \u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u102f\u1012\u103a\u1010\u103d\u1004\u103a \u1015\u103c\u101e\u101e\u100a\u103a-<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">library<\/span> (BSDA)<\/span>\n\n#enter IQ levels for 20 patients\n<\/span>data = c(88, 92, 94, 94, 96, 97, 97, 97, 99, 99,\n         105, 109, 109, 109, 110, 112, 112, 113, 114, 115)\n\n<span style=\"color: #008080;\">#perform one sample z-test\n<\/span>z.test(data, mu= <span style=\"color: #008000;\">100 <span style=\"color: #000000;\">, sigma.x=<\/span> 15<\/span> )\n\n\tOne-sample z-Test\n\ndata:data\nz = 0.90933, p-value = 0.3632\nalternative hypothesis: true mean is not equal to 100\n95 percent confidence interval:\n  96.47608 109.62392\nsample estimates:\nmean of x \n   103.05 \n<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">\u1014\u1019\u1030\u1014\u102c z test \u1021\u1010\u103d\u1000\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u101e\u100a\u103a <strong>0.90933<\/strong> \u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u101e\u1000\u103a\u1006\u102d\u102f\u1004\u103a\u101b\u102c p-value \u101e\u100a\u103a <strong>0.3632<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024 p-value \u101e\u100a\u103a 0.05 \u1011\u1000\u103a\u1019\u1014\u100a\u103a\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a null hypothesis \u1000\u102d\u102f\u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u101b\u1014\u103a \u101c\u102f\u1036\u101c\u1031\u102c\u1000\u103a\u101e\u1031\u102c\u1021\u1011\u1031\u102c\u1000\u103a\u1021\u1011\u102c\u1038\u1019\u101b\u103e\u102d\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1006\u1031\u1038\u101d\u102b\u1038\u1021\u101e\u1005\u103a\u101e\u100a\u103a IQ \u1021\u1006\u1004\u1037\u103a\u1000\u102d\u102f \u101e\u102d\u101e\u102d\u101e\u102c\u101e\u102c \u1019\u1011\u102d\u1001\u102d\u102f\u1000\u103a\u1005\u1031\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u1000\u1031\u102c\u1000\u103a\u1001\u103b\u1000\u103a\u1001\u103b\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u1025\u1015\u1019\u102c 2- R \u1010\u103d\u1004\u103a \u1014\u1019\u1030\u1014\u102c Z \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f \u1014\u103e\u1005\u103a\u1001\u102f<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1019\u103c\u102d\u102f\u1037\u1014\u103e\u1005\u103a\u1019\u103c\u102d\u102f\u1037\u1019\u103e \u101c\u1030\u1010\u1005\u103a\u1026\u1038\u1001\u103b\u1004\u103a\u1038\u1005\u102e\u104f IQ \u1021\u1006\u1004\u1037\u103a\u1021\u1010\u1014\u103a\u1038\u1000\u102d\u102f \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1011\u102c\u1038\u1015\u103c\u102e\u1038 \u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1010\u103d\u1004\u103a \u101c\u1030\u1026\u1038\u101b\u1031\u1005\u1036\u1014\u103e\u102f\u1014\u103a\u1038\u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f 15 \u101b\u103e\u102d\u101e\u100a\u103a\u101f\u102f \u101a\u1030\u1006\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1019\u103c\u102d\u102f\u1037\u1010\u1031\u102c\u103a A \u1014\u103e\u1004\u1037\u103a \u1019\u103c\u102d\u102f\u1037 B \u1010\u103d\u1004\u103a \u101c\u1030\u1010\u1005\u103a\u1026\u1038\u1001\u103b\u1004\u103a\u1038\u1005\u102e\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e IQ \u1021\u1006\u1004\u1037\u103a\u101e\u100a\u103a \u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1019\u103e\u102f\u101b\u103e\u102d\u1019\u101b\u103e\u102d \u101e\u102d\u1015\u1039\u1015\u1036\u1015\u100a\u102c\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1026\u1038 \u101e\u102d\u101c\u102d\u102f\u1015\u102b\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u101e\u1030\u1019\u101e\u100a\u103a \u1019\u103c\u102d\u102f\u1037\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1019\u103e \u101c\u1030 20 \u1026\u1038\u104f <a href=\"https:\/\/statorials.org\/my\/\u1014\u1019\u1030\u1014\u102c\u101a\u1030\u1014\u100a\u103a\u1038\u1019\u103b\u102c\u1038\/\" target=\"_blank\" rel=\"noopener\">\u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c \u1000\u103b\u1015\u1014\u103a\u1038\u1014\u1019\u1030\u1014\u102c\u1000\u102d\u102f<\/a> \u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u1000\u102c \u104e\u1004\u103a\u1038\u1010\u102d\u102f\u1037\u104f IQ \u1021\u1006\u1004\u1037\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1019\u103e\u1010\u103a\u1010\u1019\u103a\u1038\u1010\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\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\u103c\u102d\u102f\u1037\u1014\u103e\u1005\u103a\u1019\u103c\u102d\u102f\u1037\u1000\u103c\u102c\u1038\u101b\u103e\u102d \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e IQ \u1021\u1006\u1004\u1037\u103a \u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1001\u103c\u1004\u103a\u1038\u101b\u103e\u102d\u1019\u101b\u103e\u102d \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a R \u1010\u103d\u1004\u103a \u1014\u1019\u1030\u1014\u102c\u1014\u103e\u1005\u103a\u1001\u102f z-test \u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u1015\u103c\u101e\u101e\u100a\u103a-<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">library <span style=\"color: #000000;\">(BSDA)<\/span>\n<\/span>\n<span style=\"color: #008080;\">#enter IQ levels for 20 individuals from each city\n<\/span><span style=\"color: #000000;\">cityA = c(82, 84, 85, 89, 91, 91, 92, 94, 99, 99,\n         105, 109, 109, 109, 110, 112, 112, 113, 114, 114)\n\ncityB = c(90, 91, 91, 91, 95, 95, 99, 99, 108, 109,\n         109, 114, 115, 116, 117, 117, 128, 129, 130, 133)\n\n<\/span><span style=\"color: #008080;\">#perform two sample z-test\n<\/span><span style=\"color: #000000;\">z.test(x=cityA, y=cityB, mu=<\/span> <span style=\"color: #008000;\">0<\/span> <span style=\"color: #000000;\">, sigma.x= <span style=\"color: #008000;\">15<\/span> , sigma.y= <span style=\"color: #008000;\">15<\/span> )\n\n\tTwo-sample z-Test\n\ndata: cityA and cityB\nz = -1.7182, p-value = 0.08577\nalternative hypothesis: true difference in means is not equal to 0\n95 percent confidence interval:\n -17.446925 1.146925\nsample estimates:\nmean of x mean of y \n   100.65 108.80\n<\/span><\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">z \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1014\u103e\u1005\u103a\u1001\u102f\u1014\u1019\u1030\u1014\u102c\u1021\u1010\u103d\u1000\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1019\u103e\u102c <strong>-1.7182<\/strong> \u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u101e\u1000\u103a\u1006\u102d\u102f\u1004\u103a\u101b\u102c p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103e\u102c <strong>0.08577 \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024 p-value \u101e\u100a\u103a 0.05 \u1011\u1000\u103a\u1019\u1014\u100a\u103a\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a null hypothesis \u1000\u102d\u102f\u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u101b\u1014\u103a \u101c\u102f\u1036\u101c\u1031\u102c\u1000\u103a\u101e\u1031\u102c\u1021\u1011\u1031\u102c\u1000\u103a\u1021\u1011\u102c\u1038\u1019\u101b\u103e\u102d\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e IQ \u1021\u1006\u1004\u1037\u103a\u101e\u100a\u103a \u1019\u103c\u102d\u102f\u1037\u1014\u103e\u1005\u103a\u1019\u103c\u102d\u102f\u1037\u1000\u103c\u102c\u1038\u1010\u103d\u1004\u103a \u101e\u102d\u101e\u102d\u101e\u102c\u101e\u102c \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u1001\u103c\u1004\u103a\u1038\u1019\u101b\u103e\u102d\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u1000\u1031\u102c\u1000\u103a\u1001\u103b\u1000\u103a\u1001\u103b\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<h2> <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><\/h2>\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 R \u1010\u103d\u1004\u103a \u1021\u1001\u103c\u102c\u1038\u101e\u1031\u102c \u1018\u102f\u1036\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u101e\u100a\u103a-<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/my\/r-\u1010\u103d\u1004\u103a-z-\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\/\" target=\"_blank\" rel=\"noopener\">\u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038 Z \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1014\u100a\u103a\u1038<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/\u1010\u103d\u1032\u1011\u102c\u1038\u101e\u1031\u102c-\u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038-t-\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f-r\/\" target=\"_blank\" rel=\"noopener\">R \u1010\u103d\u1004\u103a\u1010\u103d\u1032\u1011\u102c\u1038\u101e\u1031\u102c\u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038\u1000\u102d\u102f t-test \u101c\u102f\u1015\u103a\u1014\u100a\u103a\u1038<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/welch-t-\u1000\u102d\u102f-r-\u1010\u103d\u1004\u103a\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u101e\u100a\u103a\u104b\/\" target=\"_blank\" rel=\"noopener\">R \u1010\u103d\u1004\u103a Welch&#8217;s t-test \u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>R \u1010\u103d\u1004\u103a \u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a \u1025\u1015\u1019\u102c z \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1014\u103a BSDA \u1015\u1000\u103a\u1000\u1031\u1037\u1001\u103a\u103b\u1019\u103e z.test() \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u101e\u1004\u103a\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b \u1024\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1001\u103c\u1031\u1001\u1036 syntax \u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a- z.test(x, y, alternative=&#8217; two.sided &#8216;, mu= 0 , sigma.x=NULL, sigma.y=NULL,conf.level= .95 ) \u101b\u103d\u103e\u1031- x : \u1015\u1011\u1019\u1014\u1019\u1030\u1014\u102c\u104f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038 y : \u1012\u102f\u1010\u102d\u101a\u1014\u1019\u1030\u1014\u102c\u1021\u1010\u103d\u1000\u103a \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038 (\u1025\u1015\u1019\u102c z \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1014\u103e\u1005\u103a\u1001\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u1031\u1015\u102b\u1000) \u1021\u1001\u103c\u102c\u1038\u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u1019\u103e\u102f &#8211; \u1021\u1001\u103c\u102c\u1038\u101a\u1030\u1006\u1001\u103b\u1000\u103a (&#8220; \u1015\u102d\u102f&#8221; \u104a &#8220; \u1014\u100a\u103a\u1038&#8221; \u104a &#8220; \u1019\u103b\u1000\u103a\u1014\u103e\u102c\u1014\u103e\u1005\u103a\u1001\u102f&#8221; ) mu : \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e [&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 \u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a \u1014\u1019\u1030\u1014\u102c\u1014\u103e\u1005\u103a\u1001\u102f Z \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b<\/title>\n<meta name=\"description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a \u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038\u1005\u103d\u102c\u1021\u1015\u102b\u1021\u101d\u1004\u103a R \u1010\u103d\u1004\u103a \u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a \u1014\u1019\u1030\u1014\u102c\u1014\u103e\u1005\u103a\u1001\u102f z \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1000\u102d\u102f 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