{"id":2473,"date":"2023-07-22T03:00:29","date_gmt":"2023-07-22T03:00:29","guid":{"rendered":"https:\/\/statorials.org\/my\/python-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba%e1%80%96%e1%80%bc%e1%80%85%e1%80%ba%e1%80%94%e1%80%ad%e1%80%af%e1%80%84%e1%80%ba%e1%80%81%e1%80%bc%e1%80%b1%e1%80%a1%e1%80%81%e1%80%bb%e1%80%ad%e1%80%af\/"},"modified":"2023-07-22T03:00:29","modified_gmt":"2023-07-22T03:00:29","slug":"python-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba%e1%80%96%e1%80%bc%e1%80%85%e1%80%ba%e1%80%94%e1%80%ad%e1%80%af%e1%80%84%e1%80%ba%e1%80%81%e1%80%bc%e1%80%b1%e1%80%a1%e1%80%81%e1%80%bb%e1%80%ad%e1%80%af","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/python-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba%e1%80%96%e1%80%bc%e1%80%85%e1%80%ba%e1%80%94%e1%80%ad%e1%80%af%e1%80%84%e1%80%ba%e1%80%81%e1%80%bc%e1%80%b1%e1%80%a1%e1%80%81%e1%80%bb%e1%80%ad%e1%80%af\/","title":{"rendered":"Python \u1010\u103d\u1004\u103a likelihood ratio 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"},"content":{"rendered":"

<\/p>\n

\n

\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1021\u1001\u103b\u102d\u102f\u1038\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u101e\u100a\u103a<\/strong> nested regression \u1019\u1031\u102c\u103a\u1012\u101a\u103a<\/a> \u1014\u103e\u1005\u103a\u1001\u102f\u104f \u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b\u101b\u103e\u102d\u1019\u103e\u102f\u1000\u102d\u102f \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n

nested model<\/a> \u101e\u100a\u103a \u101a\u1031\u1018\u102f\u101a\u103b\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a regression model \u1010\u103d\u1004\u103a \u1000\u103c\u102d\u102f\u1010\u1004\u103a\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c variable \u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1010\u1005\u103a\u1001\u102f\u1015\u102b\u101b\u103e\u102d\u101e\u1031\u102c \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n

\u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1010\u103d\u1004\u103a \u1000\u103c\u102d\u102f\u1010\u1004\u103a\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a \u101c\u1031\u1038\u1001\u102f\u1015\u102b\u101b\u103e\u102d\u101e\u1031\u102c \u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036 \u101b\u103e\u102d\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b<\/span><\/p>\n

Y = \u03b2 0<\/sub> + \u03b2 1<\/sub> x 1<\/sub> + \u03b2 2<\/sub> x 2<\/sub> + \u03b2 3<\/sub> x 3<\/sub> + \u03b2 4<\/sub> x 4<\/sub> + \u03b5<\/span><\/p>\n

nested model \u104f\u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u1019\u1030\u101b\u1004\u103a\u1038\u1000\u103c\u102d\u102f\u1010\u1004\u103a\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u101e\u102c\u1015\u102b\u101b\u103e\u102d\u101e\u1031\u102c \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1016\u103c\u1005\u103a\u101c\u102d\u1019\u1037\u103a\u1019\u100a\u103a-<\/span><\/p>\n

Y = \u03b2 0<\/sub> + \u03b2 1<\/sub> x 1<\/sub> + \u03b2 2<\/sub> x 2<\/sub> + \u03b5<\/span><\/p>\n

\u1024\u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u101e\u102d\u101e\u102d\u101e\u102c\u101e\u102c\u1000\u103d\u1032\u1015\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\u104a \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 \u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1021\u1001\u103b\u102d\u102f\u1038\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n

H 0<\/sub> :<\/strong> \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1021\u1015\u103c\u100a\u1037\u103a\u1021\u1005\u102f\u1036\u1014\u103e\u1004\u1037\u103a nested \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u101e\u100a\u103a \u1012\u1031\u1010\u102c\u1000\u102d\u102f \u1021\u100a\u102e\u1021\u1019\u103b\u103e \u1000\u1031\u102c\u1004\u103a\u1038\u1005\u103d\u102c \u101c\u102d\u102f\u1000\u103a\u1016\u1000\u103a\u1015\u102b\u101e\u100a\u103a\u104b \u1012\u102b\u1000\u103c\u1031\u102c\u1004\u1037\u103a nested model \u1000\u102d\u102f\u101e\u102f\u1036\u1038<\/strong> \u101e\u1004\u1037\u103a\u1015\u102b\u1010\u101a\u103a\u104b<\/span><\/p>\n

H A<\/sub> :<\/strong> \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1021\u1015\u103c\u100a\u1037\u103a\u1021\u1005\u102f\u1036\u101e\u100a\u103a nested \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1011\u1000\u103a \u1012\u1031\u1010\u102c\u1000\u102d\u102f \u101e\u102d\u101e\u102d\u101e\u102c\u101e\u102c \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1015\u102b\u101e\u100a\u103a\u104b \u1012\u102b\u1000\u103c\u1031\u102c\u1004\u1037\u103a template \u1021\u1015\u103c\u100a\u1037\u103a\u1021\u1005\u102f\u1036\u1000\u102d\u102f \u101e\u102f\u1036\u1038<\/strong> \u101b\u1015\u102b\u1019\u101a\u103a\u104b<\/span><\/p>\n

\u1021\u1000\u101a\u103a\u104d \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a<\/a> \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c \u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a (\u1025\u1015\u1019\u102c 0.05) \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 null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1014\u102d\u102f\u1004\u103a\u1015\u103c\u102e\u1038 \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1021\u1015\u103c\u100a\u1037\u103a\u1021\u1005\u102f\u1036\u101e\u100a\u103a \u101e\u102d\u101e\u102d\u101e\u102c\u101e\u102c \u1015\u102d\u102f\u1019\u102d\u102f\u1000\u1031\u102c\u1004\u103a\u1038\u1019\u103d\u1014\u103a\u101e\u1031\u102c \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1019\u103e\u102f\u101b\u103e\u102d\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1000\u1031\u102c\u1000\u103a\u1001\u103b\u1000\u103a\u1001\u103b\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n

\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1021\u1006\u1004\u1037\u103a\u1006\u1004\u1037\u103a \u1025\u1015\u1019\u102c\u101e\u100a\u103a Python \u1010\u103d\u1004\u103a \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1021\u1001\u103b\u102d\u102f\u1038\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 \u1015\u103c\u101e\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/span><\/p>\n

\u1021\u1006\u1004\u1037\u103a 1: \u1012\u1031\u1010\u102c\u1000\u102d\u102f \u1010\u1004\u103a\u1015\u102b\u104b<\/strong><\/span><\/h3>\n

\u1024\u1025\u1015\u1019\u102c\u1010\u103d\u1004\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a mtcars<\/strong> dataset \u1019\u103e\u1012\u1031\u1010\u102c\u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d Python \u101b\u103e\u102d \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b\u1016\u103c\u1005\u103a\u1021\u1031\u102c\u1004\u103a \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u1015\u103c\u101e\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n

\u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1021\u1015\u103c\u100a\u1037\u103a\u1021\u1005\u102f\u1036-<\/strong> mpg = \u03b2 0<\/sub> + \u03b2 1<\/sub> \u101b\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a + \u03b2 2<\/sub> carb + \u03b2 3<\/sub> hp + \u03b2 4<\/sub> cyl<\/span><\/p>\n

\u1019\u1031\u102c\u103a\u1012\u101a\u103a-<\/strong> \u1005\u102d\u102f\u1004\u103a\u1038\u1005\u102d\u102f\u1004\u103a\u1038\u1001\u1019\u103a\u1038\u101c\u103e\u102d\u102f\u1004\u103a = \u03b2 0<\/sub> + \u03b2 1<\/sub> \u101b\u101b\u103e\u102d\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c + \u03b2 2<\/sub> \u1000\u102c\u1017\u102d\u102f\u101f\u102d\u102f\u1000\u103a\u1012\u101b\u102d\u1010\u103a<\/span><\/p>\n

\u1026\u1038\u1005\u103d\u102c\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1000\u102d\u102f \u1010\u1004\u103a\u1015\u102b\u1019\u100a\u103a-<\/span><\/p>\n

 from<\/span> sklearn. linear_model<\/span> import<\/span> LinearRegression\nimport<\/span> statsmodels. api<\/span> as<\/span> sm\nimport<\/span> pandas as<\/span> pd\nimport<\/span> scipy\n\n#define URL where dataset is located\n<\/span>url = \"https:\/\/raw.githubusercontent.com\/Statorials\/Python-Guides\/main\/mtcars.csv\"\n\n#read in data\n<\/span>data = pd. read_csv<\/span> (url)\n<\/strong><\/pre>\n
 \u1021\u1006\u1004\u1037\u103a 2- \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u1036\u1000\u102d\u102f\u1000\u103a\u101c\u102f\u1015\u103a\u1015\u102b\u104b<\/strong><\/span><\/h3>\n
 \u1026\u1038\u1005\u103d\u102c\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1021\u1015\u103c\u100a\u1037\u103a\u1021\u1005\u102f\u1036\u1014\u103e\u1004\u1037\u103a \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1015\u103c\u102e\u1038 \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u104f \u1019\u103e\u1010\u103a\u1010\u1019\u103a\u1038\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u1019\u100a\u103a-<\/span><\/p>\n
 #define response variable\n<\/span>y1 = data['mpg']\n\n#define predictor variables\n<\/span>x1 = data[['disp', 'carb', 'hp', 'cyl']]\n\n#add constant to predictor variables\n<\/span>x1 = sm. add_constant<\/span> (x1)\n\n#fit regression model\n<\/span>full_model = sm. OLS<\/span> (y1,x1). fit<\/span> ()\n\n#calculate log-likelihood of model\n<\/span>full_ll = full_model. llf\n<\/span>\nprint<\/span> (full_ll)\n\n-77.55789711787898\n<\/strong><\/pre>\n
 \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 \u101c\u103b\u103e\u1031\u102c\u1037\u1001\u103b\u1011\u102c\u1038\u101e\u1031\u102c \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1014\u103e\u1004\u1037\u103a \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1015\u103c\u102e\u1038 \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u104f \u1019\u103e\u1010\u103a\u1010\u1019\u103a\u1038\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u1019\u100a\u103a-<\/span><\/p>\n
 #define response variable\n<\/span>y2 = data['mpg']\n\n#define predictor variables\n<\/span>x2 = data[['disp', 'carb']]\n\n#add constant to predictor variables\n<\/span>x2 = sm. add_constant<\/span> (x2)\n\n#fit regression model\n<\/span>reduced_model = sm. OLS<\/span> (y2, x2). fit<\/span> ()\n\n#calculate log-likelihood of model\n<\/span>reduced_ll = reduced_model. llf\n<\/span>\nprint<\/span> (reduced_ll)\n\n-78.60301334355185\n<\/strong><\/pre>\n
 \u1021\u1006\u1004\u1037\u103a 3- \u1019\u103e\u1010\u103a\u1010\u1019\u103a\u1038\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102b\u104b<\/strong><\/span><\/h3>\n
 \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 \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1014\u102d\u102f\u1004\u103a\u1019\u103e\u102f\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1014\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u102f\u1012\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/span><\/p>\n
 #calculate likelihood ratio Chi-Squared test statistic<\/span>\nLR_statistic = -2 *<\/span> (reduced_ll-full_ll)\n\nprint<\/span> (LR_statistic)\n\n2.0902324513457415\n\n#calculate p-value of test statistic using 2 degrees of freedom\n<\/span>p_val = scipy. stats<\/span> . chi2<\/span> . sf<\/span> (LR_statistic, 2)\n\nprint<\/span> (p_val)\n\n0.35165094613502257\n<\/strong><\/span><\/pre>\n
 \u101b\u101c\u1012\u103a\u1019\u103e\u104a chi-square \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u101e\u100a\u103a 2.0902<\/strong> \u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038<\/span> \u1006\u1000\u103a\u1005\u1015\u103a p-value \u101e\u100a\u103a 0.3517<\/strong> \u1016\u103c\u1005\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u1010\u103d\u1031\u1037\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n
 \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\u1019\u100a\u103a\u1019\u101f\u102f\u1010\u103a\u1015\u102b\u104b<\/span><\/p>\n
 \u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c full model \u1014\u103e\u1004\u1037\u103a nested model \u101e\u100a\u103a data \u1000\u102d\u102f \u1021\u100a\u102e\u1021\u1019\u103b\u103e \u1000\u1031\u102c\u1004\u103a\u1038\u1005\u103d\u102c \u101c\u102d\u102f\u1000\u103a\u1016\u1000\u103a\u1015\u102b\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1021\u1015\u103c\u100a\u1037\u103a\u1021\u1005\u102f\u1036\u101b\u103e\u102d \u1011\u1015\u103a\u101c\u1031\u102c\u1004\u103a\u1038\u1000\u103c\u102d\u102f\u1010\u1004\u103a\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b\u101b\u103e\u102d \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u101e\u1031\u102c\u1010\u102d\u102f\u1038\u1010\u1000\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1019\u1015\u1031\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a nested \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n
 \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u104f \u1014\u1031\u102c\u1000\u103a\u1006\u102f\u1036\u1038\u1015\u102f\u1036\u1005\u1036\u101e\u100a\u103a-<\/span><\/p>\n
 mpg = \u03b2 0<\/sub> + \u03b2 1<\/sub> \u101b\u101b\u103e\u102d\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c + \u03b2 2<\/sub> \u1000\u102c\u1017\u102d\u102f\u101f\u102d\u102f\u1000\u103a\u1012\u101b\u102d\u1010\u103a<\/span><\/p>\n
 \u1019\u103e\u1010\u103a\u1001\u103b\u1000\u103a<\/strong> – p-value \u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u102c\u1010\u103d\u1004\u103a \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f 2 \u1012\u102e\u1002\u101b\u102e\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1011\u102c\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u103c\u102c\u1038\u1010\u103d\u1004\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a \u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038 \u1000\u103c\u102d\u102f\u1010\u1004\u103a\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1019\u103b\u102c\u1038\u104f \u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1000\u102d\u102f\u101a\u103a\u1005\u102c\u1038\u1015\u103c\u102f\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n
 \u1011\u1015\u103a\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u101b\u1004\u103a\u1038\u1021\u1019\u103c\u1005\u103a\u1019\u103b\u102c\u1038<\/strong><\/span><\/h3>\n
 \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 Python \u1010\u103d\u1004\u103a \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1001\u103c\u1004\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1014\u1031\u102c\u1000\u103a\u1011\u1015\u103a\u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u1031\u1038\u1006\u1031\u102c\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n
 Python \u101b\u103e\u102d Linear Regression \u1021\u1010\u103d\u1000\u103a \u1015\u103c\u102e\u1038\u1015\u103c\u100a\u1037\u103a\u1005\u102f\u1036\u101e\u1031\u102c \u101c\u1019\u103a\u1038\u100a\u103d\u103e\u1014\u103a<\/a>
 Python \u1010\u103d\u1004\u103a polynomial regression \u101c\u102f\u1015\u103a\u1014\u100a\u103a\u1038<\/a>
 Python \u1010\u103d\u1004\u103a Logistic Regression \u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"
\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1021\u1001\u103b\u102d\u102f\u1038\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u101e\u100a\u103a nested regression \u1019\u1031\u102c\u103a\u1012\u101a\u103a \u1014\u103e\u1005\u103a\u1001\u102f\u104f \u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b\u101b\u103e\u102d\u1019\u103e\u102f\u1000\u102d\u102f \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u101e\u100a\u103a\u104b nested model \u101e\u100a\u103a \u101a\u1031\u1018\u102f\u101a\u103b\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a regression model \u1010\u103d\u1004\u103a \u1000\u103c\u102d\u102f\u1010\u1004\u103a\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c variable \u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1010\u1005\u103a\u1001\u102f\u1015\u102b\u101b\u103e\u102d\u101e\u1031\u102c \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1010\u103d\u1004\u103a \u1000\u103c\u102d\u102f\u1010\u1004\u103a\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a \u101c\u1031\u1038\u1001\u102f\u1015\u102b\u101b\u103e\u102d\u101e\u1031\u102c \u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036 \u101b\u103e\u102d\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b Y = \u03b2 0 + \u03b2 1 x 1 + \u03b2 2 x 2 + \u03b2 3 x 3 + \u03b2 4 x 4 + \u03b5 nested model \u104f\u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u1019\u1030\u101b\u1004\u103a\u1038\u1000\u103c\u102d\u102f\u1010\u1004\u103a\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u101e\u102c\u1015\u102b\u101b\u103e\u102d\u101e\u1031\u102c […]<\/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":"\nPython - Statorials \u1010\u103d\u1004\u103a Likelihood Ratio 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<\/title>\n<meta name=\"description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a Python \u1010\u103d\u1004\u103a \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1021\u1001\u103b\u102d\u102f\u1038\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1021\u1015\u103c\u100a\u1037\u103a\u1021\u1005\u102f\u1036 \u1025\u1015\u1019\u102c\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1004\u1037\u103a \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/my\/python-\u1010\u103d\u1004\u103a\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1021\u1001\u103b\u102d\u102f\/\" \/>\n<meta property=\"og:locale\" content=\"my_MM\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python - Statorials \u1010\u103d\u1004\u103a Likelihood Ratio 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\" \/>\n<meta property=\"og:description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a Python \u1010\u103d\u1004\u103a \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1021\u1001\u103b\u102d\u102f\u1038\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1021\u1015\u103c\u100a\u1037\u103a\u1021\u1005\u102f\u1036 \u1025\u1015\u1019\u102c\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1004\u1037\u103a \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-\u1010\u103d\u1004\u103a\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1021\u1001\u103b\u102d\u102f\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-22T03:00:29+00:00\" \/>\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 name=\"twitter:data1\" content=\"Benjamin Anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" 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