{"id":854,"date":"2023-07-28T12:58:50","date_gmt":"2023-07-28T12:58:50","guid":{"rendered":"https:\/\/statorials.org\/my\/%e1%80%91%e1%80%95%e1%80%ba%e1%80%81%e1%80%ab%e1%80%90%e1%80%9c%e1%80%b2%e1%80%9c%e1%80%b2-%e1%80%90%e1%80%ad%e1%80%af%e1%80%84%e1%80%ba%e1%80%b8%e1%80%90%e1%80%ac%e1%80%99%e1%80%be%e1%80%af-anova-pyt\/"},"modified":"2023-07-28T12:58:50","modified_gmt":"2023-07-28T12:58:50","slug":"%e1%80%91%e1%80%95%e1%80%ba%e1%80%81%e1%80%ab%e1%80%90%e1%80%9c%e1%80%b2%e1%80%9c%e1%80%b2-%e1%80%90%e1%80%ad%e1%80%af%e1%80%84%e1%80%ba%e1%80%b8%e1%80%90%e1%80%ac%e1%80%99%e1%80%be%e1%80%af-anova-pyt","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/%e1%80%91%e1%80%95%e1%80%ba%e1%80%81%e1%80%ab%e1%80%90%e1%80%9c%e1%80%b2%e1%80%9c%e1%80%b2-%e1%80%90%e1%80%ad%e1%80%af%e1%80%84%e1%80%ba%e1%80%b8%e1%80%90%e1%80%ac%e1%80%99%e1%80%be%e1%80%af-anova-pyt\/","title":{"rendered":"Python \u1010\u103d\u1004\u103a anova \u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032 \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1014\u100a\u103a\u1038\u1019\u103b\u102c\u1038 \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u100a\u103a\u1038"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u1021\u102f\u1015\u103a\u1005\u102f\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1010\u103d\u1004\u103a \u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1018\u102c\u101e\u102c\u101b\u1015\u103a\u1019\u103b\u102c\u1038\u1015\u1031\u102b\u103a\u101c\u102c\u101e\u100a\u1037\u103a \u1021\u102f\u1015\u103a\u1005\u102f\u101e\u102f\u1036\u1038\u1005\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\u1000\u103c\u102c\u1038\u1010\u103d\u1004\u103a \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u101e\u1031\u102c\u1001\u103c\u102c\u1038\u1014\u102c\u1038\u1001\u103b\u1000\u103a\u101b\u103e\u102d\u1019\u101b\u103e\u102d \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a <a href=\"https:\/\/statorials.org\/my\/anova-\u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032-\u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1019\u103e\u102f\u1019\u103b\u102c\u1038\/\" target=\"_blank\" rel=\"noopener\">\u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032\u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1000\u102d\u102f ANOVA \u1000\u102d\u102f<\/a> \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b<\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\">\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a Python \u101b\u103e\u102d ANOVA \u1010\u1005\u103a\u101c\u1019\u103a\u1038\u1010\u100a\u103a\u1038 \u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032 \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/span><\/p>\n<h2 data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\"><strong>\u1025\u1015\u1019\u102c- Python \u101b\u103e\u102d ANOVA \u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032 \u1006\u1031\u102c\u1004\u103a\u101b\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c \u1006\u1031\u1038\u101d\u102b\u1038\u101c\u1031\u1038\u1019\u103b\u102d\u102f\u1038\u101e\u100a\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1021\u1000\u103c\u102d\u1019\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1016\u103c\u1005\u103a\u1005\u1031\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u101e\u102f\u1010\u1031\u101e\u102e\u1019\u103b\u102c\u1038\u1000 \u101e\u102d\u1001\u103b\u1004\u103a\u1000\u103c\u101e\u100a\u103a\u104b \u101a\u1004\u103a\u1038\u1000\u102d\u102f \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a \u104e\u1004\u103a\u1038\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c \u1006\u1031\u1038\u101d\u102b\u1038\u101c\u1031\u1038\u1019\u103b\u102d\u102f\u1038\u1021\u102c\u1038 \u101c\u1030\u1014\u102c\u1019\u103b\u102c\u1038\u104f \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1021\u1000\u103c\u102d\u1019\u103a\u1004\u102b\u1038\u1000\u103c\u102d\u1019\u103a\u1000\u102d\u102f \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101c\u1030\u1014\u102c\u1010\u1005\u103a\u1026\u1038\u1005\u102e\u1021\u102c\u1038 \u1006\u1031\u1038\u101d\u102b\u1038\u101c\u1031\u1038\u1001\u102f\u1005\u102e\u1010\u103d\u1004\u103a \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1011\u102c\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1006\u1031\u1038\u101d\u102b\u1038\u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038 \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1021\u1001\u103b\u102d\u1014\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 \u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032\u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1019\u103e\u102f\u1019\u103b\u102c\u1038 ANOVA \u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">Python \u101b\u103e\u102d ANOVA \u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032\u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1014\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1006\u1004\u1037\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f\u101e\u102f\u1036\u1038\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 1: \u1012\u1031\u1010\u102c\u1000\u102d\u102f\u1011\u100a\u1037\u103a\u1015\u102b\u104b<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1015\u1011\u1019\u1026\u1038\u1005\u103d\u102c \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u104f\u1012\u1031\u1010\u102c\u1000\u102d\u102f\u1011\u102d\u1014\u103a\u1038\u1011\u102c\u1038\u101b\u1014\u103a pandas DataFrame \u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">import<\/span> numpy <span style=\"color: #107d3f;\">as<\/span> np\n<span style=\"color: #107d3f;\">import<\/span> pandas <span style=\"color: #107d3f;\">as<\/span> pd\n\n<span style=\"color: #008080;\">#createdata<\/span>\ndf = pd.DataFrame({'patient': np.repeat([1, 2, 3, 4, 5], 4),\n                   'drug': np.tile([1, 2, 3, 4], 5),\n                   'response': [30, 28, 16, 34,\n                                14, 18, 10, 22,\n                                24, 20, 18, 30,\n                                38, 34, 20, 44, \n                                26, 28, 14, 30]})\n\n<span style=\"color: #008080;\">#view first ten rows of data<\/span> \ndf.head[:10]\n\n\n\tpatient drug response\n0 1 1 30\n1 1 2 28\n2 1 3 16\n3 1 4 34\n4 2 1 14\n5 2 2 18\n6 2 3 10\n7 2 4 22\n8 3 1 24\n9 3 2 20<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 2- ANOVA \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1019\u103e\u102f\u1000\u102d\u102f \u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032 \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102b\u104b<\/strong><\/span><\/p>\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 <strong>statsmodels<\/strong> \u1005\u102c\u1000\u103c\u100a\u1037\u103a\u1010\u102d\u102f\u1000\u103a\u1019\u103e <a href=\"https:\/\/www.statsmodels.org\/stable\/generated\/statsmodels.stats.anova.AnovaRM.html\" target=\"_blank\" rel=\"noopener\">AnovaRM() \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f<\/a> \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032\u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1019\u103e\u102f\u1019\u103b\u102c\u1038 ANOVA \u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102b\u1019\u100a\u103a-<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #000000;\"><span style=\"color: #008000;\">from<\/span> statsmodels.stats.anova <span style=\"color: #008000;\">import<\/span> AnovaRM\n<\/span>\n<span style=\"color: #008080;\">#perform the repeated measures ANOVA<\/span>\nprint(AnovaRM(data= <span style=\"color: #008000;\">df<\/span> , depvar=' <span style=\"color: #008000;\">response<\/span> ', subject=' <span style=\"color: #008000;\">patient<\/span> ', within=[' <span style=\"color: #008000;\">drug<\/span> ']).fit())\n\n              Anova\n====================================\n     F Value Num DF Den DF Pr &gt; F\n----------------------------------\ndrug 24.7589 3.0000 12.0000 0.0000\n====================================\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 3- \u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1018\u102c\u101e\u102c\u1015\u103c\u1014\u103a\u1015\u102b\u104b<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032 \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1019\u103e\u102f\u1019\u103b\u102c\u1038 ANOVA \u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b null \u1014\u103e\u1004\u1037\u103a \u1021\u1001\u103c\u102c\u1038\u1021\u1001\u103c\u102c\u1038\u101e\u1031\u102c \u1021\u101a\u1030\u1021\u1006\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a \u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>null hypothesis (H <sub>0<\/sub> ) :<\/strong> \u00b5 <sub>1<\/sub> = \u00b5 <sub>2<\/sub> = \u00b5 <sub>3<\/sub> (\u101c\u1030\u1026\u1038\u101b\u1031 \u1006\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u1021\u102c\u1038\u101c\u102f\u1036\u1038\u1010\u1014\u103a\u1038\u1010\u1030\u1016\u103c\u1005\u103a\u101e\u100a\u103a)<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1001\u103c\u102c\u1038\u101a\u1030\u1006\u1001\u103b\u1000\u103a- (\u101f\u102c)-<\/strong> \u1021\u1014\u100a\u103a\u1038\u1006\u102f\u1036\u1038 \u101c\u1030\u1026\u1038\u101b\u1031 \u1006\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u1000\u103b\u1014\u103a\u1014\u103e\u1004\u1037\u103a \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u1025\u1015\u1019\u102c\u1010\u103d\u1004\u103a\u104a F \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u101e\u100a\u103a <strong>24.7589<\/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\u101e\u100a\u103a <strong>0.0000<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024 <a href=\"https:\/\/statorials.org\/my\/p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u101e\u100a\u103a-\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c-\u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b\/\" target=\"_blank\" rel=\"noopener\">p-value<\/a> \u101e\u100a\u103a 0.05 \u1011\u1000\u103a\u1014\u100a\u103a\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a null hypothesis \u1000\u102d\u102f\u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1015\u103c\u102e\u1038 \u1006\u1031\u1038\u101d\u102b\u1038\u101c\u1031\u1038\u1019\u103b\u102d\u102f\u1038\u1000\u103c\u102c\u1038\u101b\u103e\u102d \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1021\u1000\u103c\u102d\u1019\u103a\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1010\u103a\u101e\u102d\u101e\u102d\u101e\u102c\u101e\u102c\u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1019\u103e\u102f\u101b\u103e\u102d\u101e\u100a\u103a\u101f\u102f \u1000\u1031\u102c\u1000\u103a\u1001\u103b\u1000\u103a\u1001\u103b\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 4- \u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101e\u1010\u1004\u103a\u1038\u1015\u102d\u102f\u1037\u1015\u102b\u104b<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1014\u1031\u102c\u1000\u103a\u1006\u102f\u1036\u1038\u1010\u103d\u1004\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u104f \u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032 \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1019\u103e\u102f\u1019\u103b\u102c\u1038 ANOVA \u104f \u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u1005\u102e\u101b\u1004\u103a\u1001\u1036\u1015\u102b\u1019\u100a\u103a\u104b \u1024\u101e\u100a\u103a\u1019\u103e\u102c \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u1025\u1015\u1019\u102c\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<blockquote>\n<p> <span style=\"color: #000000;\">\u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1021\u1001\u103b\u102d\u1014\u103a\u1015\u1031\u102b\u103a\u1010\u103d\u1004\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1006\u1031\u1038\u101d\u102b\u1038\u101c\u1031\u1038\u1019\u103b\u102d\u102f\u1038\u104f \u1021\u1000\u103b\u102d\u102f\u1038\u101e\u1000\u103a\u101b\u1031\u102c\u1000\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1005\u1005\u103a\u1006\u1031\u1038\u101b\u1014\u103a ANOVA \u1000\u102d\u102f \u1010\u1005\u103a\u101c\u1019\u103a\u1038\u101e\u103d\u102c\u1038 \u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032 \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1019\u103e\u102f\u1019\u103b\u102c\u1038 \u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1001\u1032\u1037\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1000 \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u1031\u102c \u1006\u1031\u1038\u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u101e\u100a\u103a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1001\u103b\u102d\u1014\u103a\u104c \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1010\u103a\u1019\u103b\u102c\u1038 \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u1005\u103d\u102c \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u1019\u103e\u102f\u1019\u103b\u102c\u1038 \u1016\u103c\u1005\u103a\u1015\u1031\u102b\u103a\u1001\u1032\u1037\u101e\u100a\u103a (F(3, 12) = 24.75887, p &lt; 0.001)\u104b<\/span><\/p>\n<\/blockquote>\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 \u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032 \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1019\u103e\u102f\u1019\u103b\u102c\u1038 ANOVAs \u1019\u103b\u102c\u1038\u1021\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \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\/anova-one-way-vs-\u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032-\u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1019\u103e\u102f-anova\/\" target=\"_blank\" rel=\"noopener\">\u1010\u1005\u103a\u101c\u1019\u103a\u1038\u1019\u1031\u102c\u1004\u103a\u1038 ANOVA \u1014\u103e\u1004\u1037\u103a \u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032 \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c ANOVA- \u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1001\u103b\u1000\u103a<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/anova-\u1000\u102d\u102f-\u101c\u1000\u103a\u1016\u103c\u1004\u1037\u103a-\u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032-\u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u101e\u100a\u103a\u104b\/\" target=\"_blank\" rel=\"noopener\">ANOVA \u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032 \u1021\u1005\u102e\u1021\u1019\u1036\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1000\u102d\u102f\u101a\u103a\u1010\u102d\u102f\u1004\u103a\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u100a\u103a\u1038<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/\u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032-\u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1019\u103e\u102f-anova-\u101a\u1030\u1006\u1001\u103b\u1000\u103a\/\" target=\"_blank\" rel=\"noopener\">\u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032\u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1001\u103c\u1004\u103a\u1038 ANOVA \u104f\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u101e\u102f\u1036\u1038\u101b\u1015\u103a<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u1021\u102f\u1015\u103a\u1005\u102f\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1010\u103d\u1004\u103a \u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1018\u102c\u101e\u102c\u101b\u1015\u103a\u1019\u103b\u102c\u1038\u1015\u1031\u102b\u103a\u101c\u102c\u101e\u100a\u1037\u103a \u1021\u102f\u1015\u103a\u1005\u102f\u101e\u102f\u1036\u1038\u1005\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\u1000\u103c\u102c\u1038\u1010\u103d\u1004\u103a \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u101e\u1031\u102c\u1001\u103c\u102c\u1038\u1014\u102c\u1038\u1001\u103b\u1000\u103a\u101b\u103e\u102d\u1019\u101b\u103e\u102d \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a \u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032\u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1000\u102d\u102f ANOVA \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b \u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a Python \u101b\u103e\u102d ANOVA \u1010\u1005\u103a\u101c\u1019\u103a\u1038\u1010\u100a\u103a\u1038 \u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032 \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u1025\u1015\u1019\u102c- Python \u101b\u103e\u102d ANOVA \u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032 \u1006\u1031\u102c\u1004\u103a\u101b\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038 \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c \u1006\u1031\u1038\u101d\u102b\u1038\u101c\u1031\u1038\u1019\u103b\u102d\u102f\u1038\u101e\u100a\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1021\u1000\u103c\u102d\u1019\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1016\u103c\u1005\u103a\u1005\u1031\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u101e\u102f\u1010\u1031\u101e\u102e\u1019\u103b\u102c\u1038\u1000 \u101e\u102d\u1001\u103b\u1004\u103a\u1000\u103c\u101e\u100a\u103a\u104b \u101a\u1004\u103a\u1038\u1000\u102d\u102f \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a \u104e\u1004\u103a\u1038\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c \u1006\u1031\u1038\u101d\u102b\u1038\u101c\u1031\u1038\u1019\u103b\u102d\u102f\u1038\u1021\u102c\u1038 \u101c\u1030\u1014\u102c\u1019\u103b\u102c\u1038\u104f \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1021\u1000\u103c\u102d\u1019\u103a\u1004\u102b\u1038\u1000\u103c\u102d\u1019\u103a\u1000\u102d\u102f \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u101e\u100a\u103a\u104b \u101c\u1030\u1014\u102c\u1010\u1005\u103a\u1026\u1038\u1005\u102e\u1021\u102c\u1038 \u1006\u1031\u1038\u101d\u102b\u1038\u101c\u1031\u1038\u1001\u102f\u1005\u102e\u1010\u103d\u1004\u103a \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1011\u102c\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1006\u1031\u1038\u101d\u102b\u1038\u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038 \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1021\u1001\u103b\u102d\u1014\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 \u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032\u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1019\u103e\u102f\u1019\u103b\u102c\u1038 ANOVA \u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u102b\u1019\u100a\u103a\u104b Python \u101b\u103e\u102d ANOVA \u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032\u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1014\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1006\u1004\u1037\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f\u101e\u102f\u1036\u1038\u1015\u102b\u104b [&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 - Statology \u1010\u103d\u1004\u103a \u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032 \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1014\u100a\u103a\u1038 ANOVA 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