{"id":874,"date":"2023-07-28T11:25:07","date_gmt":"2023-07-28T11:25:07","guid":{"rendered":"https:\/\/statorials.org\/my\/p-%e1%80%90%e1%80%94%e1%80%ba%e1%80%96%e1%80%ad%e1%80%af%e1%80%b8-t-%e1%80%9b%e1%80%99%e1%80%be%e1%80%90%e1%80%ba-python\/"},"modified":"2023-07-28T11:25:07","modified_gmt":"2023-07-28T11:25:07","slug":"p-%e1%80%90%e1%80%94%e1%80%ba%e1%80%96%e1%80%ad%e1%80%af%e1%80%b8-t-%e1%80%9b%e1%80%99%e1%80%be%e1%80%90%e1%80%ba-python","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/p-%e1%80%90%e1%80%94%e1%80%ba%e1%80%96%e1%80%ad%e1%80%af%e1%80%b8-t-%e1%80%9b%e1%80%99%e1%80%be%e1%80%90%e1%80%ba-python\/","title":{"rendered":"Python \u101b\u103e\u102d t \u101b\u1019\u103e\u1010\u103a\u1019\u103e p \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1018\u101a\u103a\u101c\u102d\u102f\u101b\u103e\u102c\u1019\u101c\u1032\u104b"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u1019\u1000\u103c\u102c\u1001\u100f\u1006\u102d\u102f\u101e\u101c\u102d\u102f \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1021\u101b \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a <a href=\"https:\/\/statorials.org\/my\/\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038-\u1041\/\" target=\"_blank\" rel=\"noopener\">\u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f<\/a> \u1019\u103e\u1011\u103d\u1000\u103a\u1015\u1031\u102b\u103a\u101c\u102c\u101e\u1031\u102c \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c t-score \u1014\u103e\u1004\u1037\u103a\u1006\u1000\u103a\u1005\u1015\u103a\u101e\u1031\u102c <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 \u1000\u102d\u102f<\/a> \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101c\u102d\u102f\u1000\u103c\u101e\u100a\u103a\u104b \u1024 p-value \u101e\u100a\u103a \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c \u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u1021\u1031\u102c\u1000\u103a\u1010\u103d\u1004\u103a \u101b\u103e\u102d\u1014\u1031\u1015\u102b\u1000\u104a \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 \u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">Python \u1010\u103d\u1004\u103a t-score \u1014\u103e\u1004\u1037\u103a \u1006\u1000\u103a\u1005\u1015\u103a\u1014\u1031\u101e\u100a\u1037\u103a p \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u101b\u103e\u102c\u1016\u103d\u1031\u101b\u1014\u103a\u104a \u1021\u1031\u102c\u1000\u103a\u1015\u102b syntax \u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a <a href=\"https:\/\/docs.scipy.org\/doc\/scipy\/reference\/generated\/scipy.stats.t.html\" target=\"_blank\" rel=\"noopener\">scipy.stats.t.sf() \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\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>scipy.stats.t.sf(abs(x), df)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101b\u103d\u103e\u1031-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x:<\/strong> \u101b\u1019\u103e\u1010\u103a t<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>df-<\/strong> \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b\u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1018\u101a\u103a\u1018\u1000\u103a\u1001\u103c\u1019\u103a\u1038\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1021\u1010\u103d\u1000\u103a t-score \u1014\u103e\u1004\u1037\u103a\u1006\u1000\u103a\u1005\u1015\u103a\u1014\u1031\u101e\u100a\u1037\u103a p-value \u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101b\u103e\u102c\u1016\u103d\u1031\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u101e\u101b\u102f\u1015\u103a\u1016\u1031\u102c\u103a\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <strong>\u101d\u1032\u1005\u1019\u103a\u1038<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">\u1018\u101a\u103a\u1018\u1000\u103a\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u103d\u1004\u103a t-score <strong>-0.77<\/strong> \u1014\u103e\u1004\u1037\u103a df = <strong>15<\/strong> \u1014\u103e\u1004\u1037\u103a\u1006\u1000\u103a\u1005\u1015\u103a\u1014\u1031\u101e\u100a\u1037\u103a p-value \u1000\u102d\u102f \u101b\u103e\u102c\u101c\u102d\u102f\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">import<\/span> scipy.stats\n\n<span style=\"color: #008080;\">#find p-value<\/span>\nscipy.stats.t.sf(abs(-.77), df=15)\n\n0.2266283049085413\n<\/strong><\/pre>\n<p data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\">p-value \u101e\u100a\u103a <strong>0.2266<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1021\u1000\u101a\u103a\u104d \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u03b1 = 0.05 \u104f \u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u102b\u1000\u104a \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 \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u104f hypothesis test \u104f null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u101b\u1014\u103a\u1015\u103b\u1000\u103a\u1000\u103d\u1000\u103a\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <strong>\u100a\u102c\u1005\u1019\u103a\u1038<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">\u100a\u102c\u1018\u1000\u103a\u1010\u1031\u102c\u1004\u103a\u1015\u1036 \u1021\u101a\u1030\u1021\u1006 \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u103d\u1004\u103a t-score <strong>1.87<\/strong> \u1014\u103e\u1004\u1037\u103a df = <strong>24<\/strong> \u1014\u103e\u1004\u1037\u103a \u1006\u1000\u103a\u1005\u1015\u103a\u1014\u1031\u101e\u1031\u102c p-value \u1000\u102d\u102f \u101b\u103e\u102c\u101c\u102d\u102f\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">import<\/span> scipy.stats\n\n<span style=\"color: #008080;\">#find p-value<\/span>\nscipy.stats.t.sf(abs(1.87), df=24)\n\n0.036865328383323424\n<\/strong><\/pre>\n<p data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\">p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a <strong>0.0368<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1021\u1000\u101a\u103a\u104d \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u03b1 = 0.05 \u104f \u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u102b\u1000\u104a \u1024 p-value \u101e\u100a\u103a 0.05 \u1011\u1000\u103a\u1014\u100a\u103a\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u104f hypothesis test \u104f null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <strong>\u1014\u103e\u1005\u103a\u1016\u1000\u103a\u1005\u1019\u103a\u1038\u101e\u1015\u103a<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">\u1021\u1019\u103c\u102e\u1038\u1014\u103e\u1005\u103a\u1015\u102d\u102f\u1004\u103a\u1038 \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1010\u103d\u1004\u103a t-score <strong>1.24<\/strong> \u1014\u103e\u1004\u1037\u103a df = <strong>22<\/strong> \u1010\u102d\u102f\u1037\u104f p-value \u1000\u102d\u102f \u101b\u103e\u102c\u101c\u102d\u102f\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">import<\/span> scipy.stats\n\n<span style=\"color: #008080;\">#find p-value for two-tailed test<\/span>\nscipy.stats.t.sf(abs(1.24), df=22)*2\n\n0.22803901531680093\n<\/strong><\/pre>\n<p data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\"><em>\u1024\u1014\u103e\u1005\u103a\u1018\u1000\u103a p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f\u101b\u103e\u102c\u101b\u1014\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1010\u1005\u103a\u1016\u1000\u103a\u101e\u1010\u103a p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1014\u103e\u1005\u103a\u1001\u103b\u1000\u103a\u1016\u103c\u1004\u1037\u103a \u1019\u103c\u103e\u1031\u102c\u1000\u103a\u101c\u102d\u102f\u1000\u103a\u101b\u102f\u1036\u1015\u1004\u103a\u104b<\/em><\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\">p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a <strong>0.2280<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1021\u1000\u101a\u103a\u104d \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u03b1 = 0.05 \u104f \u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u102b\u1000\u104a \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 \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u104f hypothesis test \u104f null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u101b\u1014\u103a\u1015\u103b\u1000\u103a\u1000\u103d\u1000\u103a\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"> <em><span style=\"color: #000000;\"><strong>\u1006\u1000\u103a\u1005\u1015\u103a\u1019\u103e\u102f-<\/strong> p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f\u101b\u103e\u102c\u1016\u103d\u1031\u101b\u1014\u103a \u1024\u1021\u103d\u1014\u103a\u101c\u102d\u102f\u1004\u103a\u1038 <a href=\"https:\/\/statorials.org\/my\/t-\u1021\u1019\u103e\u1010\u103a-p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1002\u100f\u1014\u103a\u1038\u1010\u103d\u1000\u103a\u1005\u1000\u103a\/\" target=\"_blank\" rel=\"noopener\">T-score \u1019\u103e P-value \u1002\u100f\u1014\u103a\u1038\u1010\u103d\u1000\u103a\u1005\u1000\u103a<\/a> \u1000\u102d\u102f\u101c\u100a\u103a\u1038 \u101e\u1004\u103a\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u1019\u1000\u103c\u102c\u1001\u100f\u1006\u102d\u102f\u101e\u101c\u102d\u102f \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1021\u101b \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f \u1019\u103e\u1011\u103d\u1000\u103a\u1015\u1031\u102b\u103a\u101c\u102c\u101e\u1031\u102c \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c t-score \u1014\u103e\u1004\u1037\u103a\u1006\u1000\u103a\u1005\u1015\u103a\u101e\u1031\u102c p-value \u1000\u102d\u102f \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101c\u102d\u102f\u1000\u103c\u101e\u100a\u103a\u104b \u1024 p-value \u101e\u100a\u103a \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c \u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u1021\u1031\u102c\u1000\u103a\u1010\u103d\u1004\u103a \u101b\u103e\u102d\u1014\u1031\u1015\u102b\u1000\u104a \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 \u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b Python \u1010\u103d\u1004\u103a t-score \u1014\u103e\u1004\u1037\u103a \u1006\u1000\u103a\u1005\u1015\u103a\u1014\u1031\u101e\u100a\u1037\u103a p \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u101b\u103e\u102c\u1016\u103d\u1031\u101b\u1014\u103a\u104a \u1021\u1031\u102c\u1000\u103a\u1015\u102b syntax \u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a scipy.stats.t.sf() \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b scipy.stats.t.sf(abs(x), df) \u101b\u103d\u103e\u1031- x: \u101b\u1019\u103e\u1010\u103a t df- \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e \u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b\u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1018\u101a\u103a\u1018\u1000\u103a\u1001\u103c\u1019\u103a\u1038\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1021\u1010\u103d\u1000\u103a t-score \u1014\u103e\u1004\u1037\u103a\u1006\u1000\u103a\u1005\u1015\u103a\u1014\u1031\u101e\u100a\u1037\u103a p-value \u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101b\u103e\u102c\u1016\u103d\u1031\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u101e\u101b\u102f\u1015\u103a\u1016\u1031\u102c\u103a\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u101d\u1032\u1005\u1019\u103a\u1038 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