{"id":3229,"date":"2023-07-18T13:59:04","date_gmt":"2023-07-18T13:59:04","guid":{"rendered":"https:\/\/statorials.org\/my\/python-normality-%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\/"},"modified":"2023-07-18T13:59:04","modified_gmt":"2023-07-18T13:59:04","slug":"python-normality-%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","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/python-normality-%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\/","title":{"rendered":"Python \u1010\u103d\u1004\u103a normality \u1000\u102d\u102f\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1014\u100a\u103a\u1038 (\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038 4 \u1001\u102f)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1005\u103d\u102c\u101e\u100a\u103a \u1012\u1031\u1010\u102c\u1021\u1005\u102f\u1036\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u101e\u100a\u103a\u101f\u102f <a href=\"https:\/\/statorials.org\/my\/\u1015\u102f\u1036\u1019\u103e\u1014\u103a\u101a\u1030\u1006\u1001\u103b\u1000\u103a\/\" target=\"_blank\" rel=\"noopener\">\u101a\u1030\u1006\u101e\u100a\u103a<\/a> \u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">Python \u1010\u103d\u1004\u103a \u1024\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1005\u1005\u103a\u1006\u1031\u1038\u101b\u1014\u103a \u1018\u102f\u1036\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u101c\u1031\u1038\u1001\u102f\u101b\u103e\u102d\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. (\u1021\u1019\u103c\u1004\u103a\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038) \u101f\u102e\u1005\u1010\u102d\u102f\u1002\u101b\u1019\u103a\u1010\u1005\u103a\u1001\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u1015\u102b\u104b<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u101f\u102e\u1005\u1010\u102d\u102f\u1002\u101b\u1019\u103a\u101e\u100a\u103a \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103c\u1031\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a &#8220; \u1001\u1031\u102b\u1004\u103a\u1038\u101c\u1031\u102c\u1004\u103a\u1038&#8221;  \u1015\u102f\u1036\u101e\u100f\u1039\u100d\u102c\u1014\u103a\u1016\u103c\u1005\u103a\u1015\u102b\u1000\u104a \u1012\u1031\u1010\u102c\u1000\u102d\u102f \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u101e\u100a\u103a\u101f\u102f \u101a\u1030\u1006\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>2. (Visual method) QQ \u1000\u103d\u1000\u103a\u1000\u103d\u1000\u103a\u1016\u1014\u103a\u1010\u102e\u1038\u1015\u102b\u104b<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u1000\u103d\u1000\u103a\u101c\u1015\u103a\u1015\u1031\u102b\u103a\u101b\u103e\u102d \u1021\u1019\u103e\u1010\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1016\u103c\u1031\u102c\u1004\u1037\u103a\u1011\u1031\u102c\u1004\u1037\u103a\u1016\u103c\u1010\u103a\u1019\u103b\u1009\u103a\u1038\u1010\u1005\u103a\u101c\u103b\u103e\u1031\u102c\u1000\u103a \u1021\u1000\u103c\u1019\u103a\u1038\u1016\u103b\u1004\u103a\u1038\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1010\u100a\u103a\u101b\u103e\u102d\u1014\u1031\u1015\u102b\u1000 \u1012\u1031\u1010\u102c\u1000\u102d\u102f \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u101e\u100a\u103a\u101f\u102f \u101a\u1030\u1006\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>3. (\u1010\u101b\u102c\u1038\u101d\u1004\u103a\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f) Shapiro-Wilk \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1015\u102b\u104b<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f p-value \u101e\u100a\u103a \u03b1 = 0.05 \u1011\u1000\u103a \u1000\u103c\u102e\u1038\u1015\u102b\u1000 \u1012\u1031\u1010\u102c\u1000\u102d\u102f \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u101e\u100a\u103a\u101f\u102f \u101a\u1030\u1006\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>4. (\u1010\u101b\u102c\u1038\u101d\u1004\u103a\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f) Kolmogorov-Smirnov \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1015\u102b\u104b<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f p-value \u101e\u100a\u103a \u03b1 = 0.05 \u1011\u1000\u103a \u1000\u103c\u102e\u1038\u1015\u102b\u1000 \u1012\u1031\u1010\u102c\u1000\u102d\u102f \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u101e\u100a\u103a\u101f\u102f \u101a\u1030\u1006\u1015\u102b\u101e\u100a\u103a\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 \u1024\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1005\u102e\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> <strong><span style=\"color: #000000;\">\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038 1- Histogram \u1016\u1014\u103a\u1010\u102e\u1038\u1015\u102b\u104b<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u102f\u1012\u103a\u101e\u100a\u103a <a href=\"https:\/\/statorials.org\/my\/\u1015\u102f\u1036\u1019\u103e\u1014\u103a-log-python-\u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1001\u103c\u1004\u103a\u1038\u104b\/\" target=\"_blank\" rel=\"noopener\">\u1019\u103e\u1010\u103a\u1010\u1019\u103a\u1038-\u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f<\/a> \u1014\u1031\u102c\u1000\u103a\u1006\u1000\u103a\u1010\u103d\u1032 \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1010\u1005\u103a\u1001\u102f\u1021\u1010\u103d\u1000\u103a \u101f\u102e\u1005\u1010\u102d\u102f\u1002\u101b\u1019\u103a\u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\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;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> math\n<span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np\n<span style=\"color: #008000;\">from<\/span> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">import<\/span> lognorm\n<span style=\"color: #008000;\">import<\/span> matplotlib. <span style=\"color: #3366ff;\">pyplot<\/span> <span style=\"color: #008000;\">as<\/span> plt\n\n<span style=\"color: #008080;\">#make this example reproducible\n<\/span>n.p. <span style=\"color: #3366ff;\">random<\/span> . <span style=\"color: #3366ff;\">seeds<\/span> (1)\n\n<span style=\"color: #008080;\">#generate dataset that contains 1000 log-normal distributed values\n<\/span>lognorm_dataset = lognorm. <span style=\"color: #3366ff;\">rvs<\/span> (s=.5, scale= <span style=\"color: #3366ff;\">math.exp<\/span> (1), size=1000)\n\n<span style=\"color: #008080;\">#create histogram to visualize values in dataset\n<\/span>plt. <span style=\"color: #3366ff;\">hist<\/span> (lognorm_dataset, edgecolor=' <span style=\"color: #ff0000;\">black<\/span> ', bins=20)<\/span><\/span><\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-27387 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/normalitepython1.jpg\" alt=\"\" width=\"559\" height=\"364\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u101f\u1005\u103a\u1005\u1010\u102d\u102f\u1002\u101b\u1019\u103a\u1000\u102d\u102f\u1000\u103c\u100a\u1037\u103a\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1004\u1037\u103a \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u101e\u100a\u103a \u201c\u1001\u1031\u102b\u1004\u103a\u1038\u101c\u1031\u102c\u1004\u103a\u1038\u1015\u102f\u1036\u101e\u100f\u1039\u100d\u102c\u1014\u103a\u201d \u1019\u1015\u103c\u1018\u1032 \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1016\u103c\u1014\u1037\u103a\u101d\u1031\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\u1015\u103c\u1031\u102c\u1015\u103c\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038 2- QQ Plot \u1010\u1005\u103a\u1001\u102f\u1016\u1014\u103a\u1010\u102e\u1038\u1015\u102b\u104b<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b \u1000\u102f\u1012\u103a\u101e\u100a\u103a \u1019\u103e\u1010\u103a\u1010\u1019\u103a\u1038-\u1015\u102f\u1036\u1019\u103e\u1014\u103a \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1014\u1031\u102c\u1000\u103a\u1006\u1000\u103a\u1010\u103d\u1032 \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1010\u1005\u103a\u1001\u102f\u1021\u1010\u103d\u1000\u103a QQ \u1000\u103d\u1000\u103a\u1000\u103d\u1000\u103a \u1016\u1014\u103a\u1010\u102e\u1038\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;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> math\n<span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np\n<span style=\"color: #008000;\">from<\/span> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">import<\/span> lognorm\n<span style=\"color: #008000;\">import<\/span> statsmodels. <span style=\"color: #3366ff;\">api<\/span> <span style=\"color: #008000;\">as<\/span> sm\n<span style=\"color: #008000;\">import<\/span> matplotlib. <span style=\"color: #3366ff;\">pyplot<\/span> <span style=\"color: #008000;\">as<\/span> plt\n\n<span style=\"color: #008080;\">#make this example reproducible\n<\/span>n.p. <span style=\"color: #3366ff;\">random<\/span> . <span style=\"color: #3366ff;\">seeds<\/span> (1)\n\n<span style=\"color: #008080;\">#generate dataset that contains 1000 log-normal distributed values\n<\/span>lognorm_dataset = lognorm. <span style=\"color: #3366ff;\">rvs<\/span> (s=.5, scale= <span style=\"color: #3366ff;\">math.exp<\/span> (1), size=1000)\n\n<span style=\"color: #008080;\">#create QQ plot with 45-degree line added to plot\n<\/span>fig = sm. <span style=\"color: #3366ff;\">qqplot<\/span> (lognorm_dataset, line=' <span style=\"color: #ff0000;\">45<\/span> ')\n\nplt. <span style=\"color: #3366ff;\">show<\/span> ()\n<\/span><\/span><\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-27390 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/normalitepython2.jpg\" alt=\"\" width=\"533\" height=\"359\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u1000\u103d\u1000\u103a\u1000\u103d\u1000\u103a\u1021\u1019\u103e\u1010\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1016\u103c\u1031\u102c\u1004\u1037\u103a\u1011\u1031\u102c\u1004\u1037\u103a\u1016\u103c\u1010\u103a\u1019\u103b\u1009\u103a\u1038\u1010\u1005\u103a\u101c\u103b\u103e\u1031\u102c\u1000\u103a \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103c\u1031\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1010\u100a\u103a\u101b\u103e\u102d\u1014\u1031\u1015\u102b\u1000\u104a \u1012\u1031\u1010\u102c\u1021\u1005\u102f\u1036\u1000\u102d\u102f \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u101e\u100a\u103a\u101f\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u101a\u1031\u1018\u1030\u101a\u103b\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u101a\u1030\u1006\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101e\u102d\u102f\u1037\u101e\u1031\u102c\u103a\u104a \u1024\u1002\u101b\u1015\u103a\u1015\u1031\u102b\u103a\u101b\u103e\u102d \u1021\u1019\u103e\u1010\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1021\u1014\u102e\u101b\u1031\u102c\u1004\u103a\u1019\u103b\u1009\u103a\u1038\u1014\u103e\u1004\u1037\u103a \u1019\u1000\u102d\u102f\u1000\u103a\u100a\u102e\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1024\u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1000\u102d\u102f \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u101e\u100a\u103a\u101f\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u101a\u1030\u1006\u104d\u1019\u101b\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101c\u1031\u102c\u1037\u1002\u103a-\u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\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 \u1012\u1031\u1010\u102c\u1000\u102d\u102f \u1011\u102f\u1010\u103a\u1015\u1031\u1038\u1001\u1032\u1037\u1001\u103c\u1004\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1021\u1013\u102d\u1015\u1039\u1015\u102c\u101a\u103a\u101b\u103e\u102d\u101e\u1004\u1037\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038 3- Shapiro-Wilk \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1015\u102b\u104b<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u102f\u1012\u103a\u101e\u100a\u103a \u1019\u103e\u1010\u103a\u1010\u1019\u103a\u1038-\u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1014\u1031\u102c\u1000\u103a\u1006\u1000\u103a\u1010\u103d\u1032 \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1021\u1010\u103d\u1000\u103a Shapiro-Wilk \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;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> math\n<span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np\n<span style=\"color: #008000;\">from<\/span> scipy.stats <span style=\"color: #008000;\">import<\/span> shapiro \n<span style=\"color: #008000;\">from<\/span> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">import<\/span> lognorm\n\n<span style=\"color: #008080;\">#make this example reproducible\n<\/span>n.p. <span style=\"color: #3366ff;\">random<\/span> . <span style=\"color: #3366ff;\">seeds<\/span> (1)\n\n<span style=\"color: #008080;\">#generate dataset that contains 1000 log-normal distributed values\n<\/span>lognorm_dataset = lognorm. <span style=\"color: #3366ff;\">rvs<\/span> (s=.5, scale= <span style=\"color: #3366ff;\">math.exp<\/span> (1), size=1000)\n\n<span style=\"color: #008080;\">#perform Shapiro-Wilk test for normality\n<\/span>shapiro(lognorm_dataset)\n\nShapiroResult(statistic=0.8573324680328369, pvalue=3.880663073872444e-29)\n<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u101b\u101c\u1012\u103a\u1019\u103e\u104a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u101e\u100a\u103a <strong>0.857<\/strong> \u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u101e\u1000\u103a\u1006\u102d\u102f\u1004\u103a\u101e\u1031\u102c p-value \u101e\u100a\u103a <strong>3.88e-29<\/strong> (\u101e\u102f\u100a\u1014\u103e\u1004\u1037\u103a \u1021\u101c\u103d\u1014\u103a\u1014\u102e\u1038\u1005\u1015\u103a\u101e\u100a\u103a) \u1000\u102d\u102f \u1010\u103d\u1031\u1037\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">p-value \u101e\u100a\u103a 0.05 \u1011\u1000\u103a\u1014\u100a\u103a\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a Shapiro-Wilk test \u104f null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u1014\u1019\u1030\u1014\u102c\u1012\u1031\u1010\u102c\u101e\u100a\u103a \u101e\u102c\u1019\u1014\u103a\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1019\u103e \u101c\u102c\u1001\u103c\u1004\u103a\u1038\u1019\u101b\u103e\u102d\u101f\u102f \u1006\u102d\u102f\u101b\u1014\u103a \u101c\u102f\u1036\u101c\u1031\u102c\u1000\u103a\u101e\u1031\u102c \u1021\u1011\u1031\u102c\u1000\u103a\u1021\u1011\u102c\u1038\u101b\u103e\u102d\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038 4- Kolmogorov-Smirnov \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1015\u102b\u104b<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b \u1000\u102f\u1012\u103a\u101e\u100a\u103a \u1019\u103e\u1010\u103a\u1010\u1019\u103a\u1038-\u1015\u102f\u1036\u1019\u103e\u1014\u103a \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1014\u1031\u102c\u1000\u103a\u1006\u1000\u103a\u1010\u103d\u1032 \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1021\u1010\u103d\u1000\u103a Kolmogorov-Smirnov \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1021\u102c\u1038 \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;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> math\n<span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np\n<span style=\"color: #008000;\">from<\/span> scipy.stats <span style=\"color: #008000;\">import<\/span> kstest\n<span style=\"color: #008000;\">from<\/span> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">import<\/span> lognorm\n\n<span style=\"color: #008080;\">#make this example reproducible\n<\/span>n.p. <span style=\"color: #3366ff;\">random<\/span> . <span style=\"color: #3366ff;\">seeds<\/span> (1)\n\n<span style=\"color: #008080;\">#generate dataset that contains 1000 log-normal distributed values\n<\/span>lognorm_dataset = lognorm. <span style=\"color: #3366ff;\">rvs<\/span> (s=.5, scale= <span style=\"color: #3366ff;\">math.exp<\/span> (1), size=1000)\n\n<span style=\"color: #008080;\">#perform Kolmogorov-Smirnov test for normality\n<\/span>kstest(lognorm_dataset, ' <span style=\"color: #ff0000;\">norm<\/span> ')\n\nKstestResult(statistic=0.84125708308077, pvalue=0.0)\n<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u101b\u101c\u1012\u103a\u1019\u103e\u104a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u101e\u100a\u103a <strong>0.841<\/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>0.0<\/strong> \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<p> <span style=\"color: #000000;\">p-value \u101e\u100a\u103a 0.05 \u1011\u1000\u103a\u1014\u100a\u103a\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a Kolmogorov-Smirnov test \u104f null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u1014\u1019\u1030\u1014\u102c\u1012\u1031\u1010\u102c\u101e\u100a\u103a \u101e\u102c\u1019\u1014\u103a\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1019\u103e \u101c\u102c\u1001\u103c\u1004\u103a\u1038\u1019\u101b\u103e\u102d\u101f\u102f \u1006\u102d\u102f\u101b\u1014\u103a \u101c\u102f\u1036\u101c\u1031\u102c\u1000\u103a\u101e\u1031\u102c \u1021\u1011\u1031\u102c\u1000\u103a\u1021\u1011\u102c\u1038\u101b\u103e\u102d\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <strong>\u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1019\u101f\u102f\u1010\u103a\u101e\u1031\u102c\u1012\u1031\u1010\u102c\u1000\u102d\u102f \u1000\u102d\u102f\u1004\u103a\u1010\u103d\u101a\u103a\u1014\u100a\u103a\u1038<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">\u1015\u1031\u1038\u1011\u102c\u1038\u101e\u100a\u1037\u103a \u1012\u1031\u1010\u102c\u1021\u1005\u102f\u1036\u1000\u102d\u102f \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1001\u103c\u1004\u103a\u1038 <em>\u1019\u101b\u103e\u102d\u1015\u102b\u1000<\/em> \u104a \u104e\u1004\u103a\u1038\u1000\u102d\u102f \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1015\u102d\u102f\u1019\u102d\u102f\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1014\u102d\u102f\u1004\u103a\u1005\u1031\u101b\u1014\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u101e\u103d\u1004\u103a\u1015\u103c\u1031\u102c\u1004\u103a\u1038\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1011\u1032\u1019\u103e \u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u1019\u1000\u103c\u102c\u1001\u100f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. \u1019\u103e\u1010\u103a\u1010\u1019\u103a\u1038\u1021\u101e\u103d\u1004\u103a\u1015\u103c\u1031\u102c\u1004\u103a\u1038\u1001\u103c\u1004\u103a\u1038-<\/strong> x \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f <strong>log(x)<\/strong> \u101e\u102d\u102f\u1037 \u1015\u103c\u1031\u102c\u1004\u103a\u1038\u101c\u1032\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. Square root \u1021\u101e\u103d\u1004\u103a\u1015\u103c\u1031\u102c\u1004\u103a\u1038\u1001\u103c\u1004\u103a\u1038-<\/strong> x \u1019\u103e <strong><span style=\"border-top: 1px solid black;\">\u221ax<\/span><\/strong> \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u103c\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3. Cube root \u1021\u101e\u103d\u1004\u103a\u1015\u103c\u1031\u102c\u1004\u103a\u1038\u1001\u103c\u1004\u103a\u1038-<\/strong> x \u1019\u103e <strong>x <sup>1\/3<\/sup><\/strong> \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u103c\u1031\u102c\u1004\u103a\u1038\u101c\u1032\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u1021\u101e\u103d\u1004\u103a\u1015\u103c\u1031\u102c\u1004\u103a\u1038\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1004\u1037\u103a \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u101e\u100a\u103a \u101a\u1031\u1018\u1030\u101a\u103b\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1015\u102d\u102f\u1019\u102d\u102f\u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u101c\u102c\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">Python \u1010\u103d\u1004\u103a \u1024\u1021\u101e\u103d\u1004\u103a\u1015\u103c\u1031\u102c\u1004\u103a\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 \u1000\u103c\u100a\u1037\u103a\u101b\u103e\u102f\u101b\u1014\u103a <a href=\"https:\/\/statorials.org\/my\/python-\u1010\u103d\u1004\u103a-data-\u1000\u102d\u102f\u1015\u103c\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u104b\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1000\u102d\u102f<\/a> \u1016\u1010\u103a\u1015\u102b\u104b<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1005\u103d\u102c\u101e\u100a\u103a \u1012\u1031\u1010\u102c\u1021\u1005\u102f\u1036\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u101e\u100a\u103a\u101f\u102f \u101a\u1030\u1006\u101e\u100a\u103a \u104b Python \u1010\u103d\u1004\u103a \u1024\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1005\u1005\u103a\u1006\u1031\u1038\u101b\u1014\u103a \u1018\u102f\u1036\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u101c\u1031\u1038\u1001\u102f\u101b\u103e\u102d\u101e\u100a\u103a\u104b 1. (\u1021\u1019\u103c\u1004\u103a\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038) \u101f\u102e\u1005\u1010\u102d\u102f\u1002\u101b\u1019\u103a\u1010\u1005\u103a\u1001\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u1015\u102b\u104b \u101f\u102e\u1005\u1010\u102d\u102f\u1002\u101b\u1019\u103a\u101e\u100a\u103a \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103c\u1031\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a &#8220; \u1001\u1031\u102b\u1004\u103a\u1038\u101c\u1031\u102c\u1004\u103a\u1038&#8221; \u1015\u102f\u1036\u101e\u100f\u1039\u100d\u102c\u1014\u103a\u1016\u103c\u1005\u103a\u1015\u102b\u1000\u104a \u1012\u1031\u1010\u102c\u1000\u102d\u102f \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u101e\u100a\u103a\u101f\u102f \u101a\u1030\u1006\u1015\u102b\u101e\u100a\u103a\u104b 2. (Visual method) QQ \u1000\u103d\u1000\u103a\u1000\u103d\u1000\u103a\u1016\u1014\u103a\u1010\u102e\u1038\u1015\u102b\u104b \u1000\u103d\u1000\u103a\u101c\u1015\u103a\u1015\u1031\u102b\u103a\u101b\u103e\u102d \u1021\u1019\u103e\u1010\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1016\u103c\u1031\u102c\u1004\u1037\u103a\u1011\u1031\u102c\u1004\u1037\u103a\u1016\u103c\u1010\u103a\u1019\u103b\u1009\u103a\u1038\u1010\u1005\u103a\u101c\u103b\u103e\u1031\u102c\u1000\u103a \u1021\u1000\u103c\u1019\u103a\u1038\u1016\u103b\u1004\u103a\u1038\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1010\u100a\u103a\u101b\u103e\u102d\u1014\u1031\u1015\u102b\u1000 \u1012\u1031\u1010\u102c\u1000\u102d\u102f \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u101e\u100a\u103a\u101f\u102f \u101a\u1030\u1006\u1015\u102b\u101e\u100a\u103a\u104b 3. (\u1010\u101b\u102c\u1038\u101d\u1004\u103a\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f) Shapiro-Wilk \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1015\u102b\u104b \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f p-value \u101e\u100a\u103a \u03b1 = 0.05 \u1011\u1000\u103a \u1000\u103c\u102e\u1038\u1015\u102b\u1000 \u1012\u1031\u1010\u102c\u1000\u102d\u102f \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u101e\u100a\u103a\u101f\u102f \u101a\u1030\u1006\u1015\u102b\u101e\u100a\u103a\u104b 4. (\u1010\u101b\u102c\u1038\u101d\u1004\u103a\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f) [&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>Python \u1010\u103d\u1004\u103a Normality \u1000\u102d\u102f\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1014\u100a\u103a\u1038 (4 Methods) - Statology<\/title>\n<meta name=\"description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a \u1025\u1015\u1019\u102c\u1019\u103b\u102c\u1038\u1005\u103d\u102c\u1016\u103c\u1004\u1037\u103a Python \u1010\u103d\u1004\u103a 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\u1025\u1015\u1019\u102c\u1019\u103b\u102c\u1038\u1005\u103d\u102c\u1016\u103c\u1004\u1037\u103a Python \u1010\u103d\u1004\u103a \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/my\/python-normality-\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-18T13:59:04+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/normalitepython1.jpg\" \/>\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 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