{"id":2512,"date":"2023-07-21T23:01:41","date_gmt":"2023-07-21T23:01:41","guid":{"rendered":"https:\/\/statorials.org\/my\/wald-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba%e1%80%99%e1%80%be%e1%80%af-r\/"},"modified":"2023-07-21T23:01:41","modified_gmt":"2023-07-21T23:01:41","slug":"wald-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba%e1%80%99%e1%80%be%e1%80%af-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/wald-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba%e1%80%99%e1%80%be%e1%80%af-r\/","title":{"rendered":"R \u1010\u103d\u1004\u103a wald \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1014\u100a\u103a\u1038"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1010\u1005\u103a\u1001\u102f \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1010\u1005\u103a\u1001\u102f\u1011\u1000\u103a\u1015\u102d\u102f\u101e\u1031\u102c \u1018\u1031\u102c\u1004\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1010\u1030\u100a\u102e\u1019\u103e\u102f\u101b\u103e\u102d\u1019\u101b\u103e\u102d \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a <strong>Wald \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u102f<\/strong> \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/my\/multiple-linear-regression\/\" target=\"_blank\" rel=\"noopener\">\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036<\/a> \u1010\u103d\u1004\u103a \u1010\u1005\u103a\u1001\u102f \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1010\u1005\u103a\u1001\u102f\u1011\u1000\u103a\u1015\u102d\u102f\u101e\u1031\u102c \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 \u101e\u102f\u100a\u1014\u103e\u1004\u1037\u103a \u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038\u101b\u103e\u102d\u1019\u101b\u103e\u102d \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a \u1024\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u1000\u102d\u102f \u1019\u1000\u103c\u102c\u1001\u100f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\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 <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\">\u1021\u101a\u1030\u1021\u1006\u1019\u103b\u102c\u1038\u1000\u102d\u102f<\/a> \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub><\/strong> : \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c \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\u1021\u1010\u103d\u1032\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u101e\u102f\u100a\u1014\u103e\u1004\u1037\u103a\u100a\u102e\u101e\u100a\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub><\/strong> : \u1021\u1005\u102f\u101b\u103e\u102d \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\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u101e\u100a\u103a \u101e\u102f\u100a\u1014\u103e\u1004\u1037\u103a \u100a\u102e\u1019\u103b\u103e\u101e\u100a\u103a\u1019\u101f\u102f\u1010\u103a\u1015\u102b\u104b<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1021\u1000\u101a\u103a\u104d \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\u1006\u102d\u102f\u101b\u1014\u103a \u1015\u103b\u1000\u103a\u1000\u103d\u1000\u103a\u1015\u102b\u1000\u104a \u104e\u1004\u103a\u1038\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1005\u1036\u1015\u103c\u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1019\u103e\u102f\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 \u1010\u102d\u102f\u1038\u1010\u1000\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1019\u1015\u1036\u1037\u1015\u102d\u102f\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1019\u103e \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101e\u1030\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1016\u101a\u103a\u101b\u103e\u102c\u1038\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1025\u1015\u1019\u102c\u101e\u100a\u103a R \u1010\u103d\u1004\u103a Wald \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<h3> <span style=\"color: #000000;\"><strong>\u1025\u1015\u1019\u102c- R \u1010\u103d\u1004\u103a Wald \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1024\u1025\u1015\u1019\u102c\u1021\u1010\u103d\u1000\u103a\u104a \u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1019\u103b\u102d\u102f\u1038\u1005\u102f\u1036\u1000\u102d\u102f \u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b\u1016\u103c\u1005\u103a\u1005\u1031\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a R \u1010\u103d\u1004\u103a\u1010\u100a\u103a\u1006\u1031\u102c\u1000\u103a\u1011\u102c\u1038\u101e\u1031\u102c <a href=\"https:\/\/statorials.org\/my\/mtcars-r-\u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\/\" target=\"_blank\" rel=\"noopener\">mtcars<\/a> \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\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;\">mpg = \u03b2 <sub>0<\/sub> + \u03b2 <sub>1<\/sub> \u101b\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a + \u03b2 <sub>2<\/sub> carb + \u03b2 <sub>3<\/sub> hp + \u03b2 <sub>4<\/sub> cyl<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u102f\u1012\u103a\u101e\u100a\u103a \u1024\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1014\u103e\u1004\u1037\u103a \u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b\u1016\u103c\u1005\u103a\u1015\u102f\u1036\u1000\u102d\u102f \u1015\u103c\u101e\u1015\u103c\u102e\u1038 \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1021\u1000\u103b\u1009\u103a\u1038\u1001\u103b\u102f\u1015\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;\">#fit regression model\n<\/span>model &lt;- lm(mpg ~ disp + carb + hp + cyl, data = mtcars)\n\n<span style=\"color: #008080;\">#view model summary\n<\/span>summary(model)\n\nCall:\nlm(formula = mpg ~ disp + carb + hp + cyl, data = mtcars)\n\nResiduals:\n    Min 1Q Median 3Q Max \n-5.0761 -1.5752 -0.2051 1.0745 6.3047 \n\nCoefficients:\n             Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) 34.021595 2.523397 13.482 1.65e-13 ***\navailable -0.026906 0.011309 -2.379 0.0247 *  \ncarb -0.926863 0.578882 -1.601 0.1210    \nhp 0.009349 0.020701 0.452 0.6551    \ncyl -1.048523 0.783910 -1.338 0.1922    \n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 2.973 on 27 degrees of freedom\nMultiple R-squared: 0.788, Adjusted R-squared: 0.7566 \nF-statistic: 25.09 on 4 and 27 DF, p-value: 9.354e-09<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a\u104a \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101e\u1030\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a &#8220; hp&#8221;  \u1014\u103e\u1004\u1037\u103a &#8220; cyl&#8221;  \u1021\u1010\u103d\u1000\u103a \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u101b\u1014\u103a <strong>aod<\/strong> package \u1019\u103e <strong>wald.test()<\/strong> \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\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1001\u103c\u1031\u1001\u1036 syntax \u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a-<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>wald.test(Sigma\u104a b\u104a \u1005\u100a\u103a\u1038\u1019\u103b\u1025\u103a\u1038\u1005\u100a\u103a\u1038\u1000\u1019\u103a\u1038\u1019\u103b\u102c\u1038)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101b\u103d\u103e\u1031-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Sigma<\/strong> : \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u104f \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f-\u1000\u102c\u1017\u102c\u101b\u102e\u101a\u1036 \u1019\u1000\u103a\u1011\u101b\u1005\u103a<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>b<\/strong> : \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u104f \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u104f \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u102c\u1014\u103a\u1038\u1010\u1005\u103a\u1001\u102f<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u1005\u100a\u103a\u1038\u1019\u103b\u1025\u103a\u1038\u1005\u100a\u103a\u1038\u1000\u1019\u103a\u1038\u1019\u103b\u102c\u1038<\/strong> : \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a coefficients \u1000\u102d\u102f \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1015\u1031\u1038\u101e\u1031\u102c vector \u1010\u1005\u103a\u1001\u102f<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u102f\u1012\u103a\u101e\u100a\u103a \u1024\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u101c\u1000\u103a\u1010\u103d\u1031\u1037\u1010\u103d\u1004\u103a \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\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;\">library<\/span> (aod)<\/span>\n\n#perform Wald Test to determine if 3rd and 4th predictor variables are both zero\n<\/span>wald. <span style=\"color: #3366ff;\">test<\/span> (Sigma = vcov(model), b = coef(model), Terms = 3:4)\n\nWald test:\n----------\n\nChi-squared test:\nX2 = 3.6, df = 2, P(&gt;X2) = 0.16\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u101b\u101c\u1012\u103a\u1019\u103e\u104a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f <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 0.16 \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\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024 p-value \u101e\u100a\u103a 0.05 \u1011\u1000\u103a\u1019\u1014\u100a\u103a\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a Wald 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\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 \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 &#8220; hp&#8221;  \u1014\u103e\u1004\u1037\u103a &#8220; cyl&#8221;  \u1021\u1010\u103d\u1000\u103a \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u101e\u102f\u100a\u1014\u103e\u1004\u1037\u103a \u100a\u102e\u1019\u103b\u103e\u101e\u100a\u103a\u101f\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u101a\u1030\u1006\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u104e\u1004\u103a\u1038\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1021\u101b \u1021\u101c\u102f\u1036\u1038\u1005\u102f\u1036\u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1019\u103e\u102f\u1000\u102d\u102f \u101e\u102d\u101e\u102d\u101e\u102c\u101e\u102c \u1019\u1010\u102d\u102f\u1038\u1010\u1000\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1024\u1005\u100a\u103a\u1038\u1000\u1019\u103a\u1038\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1019\u103e \u1016\u101a\u103a\u101b\u103e\u102c\u1038\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <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><\/h3>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1019\u103b\u102c\u1038\u101e\u100a\u103a R \u1010\u103d\u1004\u103a \u1021\u1001\u103c\u102c\u1038\u1018\u102f\u1036\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u101e\u100a\u103a-<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/my\/r-\u1010\u103d\u1004\u103a-\u101b\u102d\u102f\u1038\u101b\u102d\u102f\u1038\u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\/\" target=\"_blank\" rel=\"noopener\">R \u1010\u103d\u1004\u103a \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c linear regression \u101c\u102f\u1015\u103a\u1014\u100a\u103a\u1038<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/multiple-linear-regression-r\/\" target=\"_blank\" rel=\"noopener\">R \u1010\u103d\u1004\u103a linear regression \u1021\u1019\u103b\u102c\u1038\u1021\u1015\u103c\u102c\u1038\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u100a\u103a\u1038<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1021\u1011\u103d\u1000\u103a\u1000\u102d\u102f-r-\u1010\u103d\u1004\u103a\u1021\u1014\u1000\u103a\u1015\u103c\u1014\u103a\u1006\u102d\u102f\u1015\u102b\u104b\/\" target=\"_blank\" rel=\"noopener\">R \u1010\u103d\u1004\u103a regression output \u1000\u102d\u102f \u1021\u1013\u102d\u1015\u1039\u1015\u102c\u101a\u103a\u1016\u103d\u1004\u1037\u103a\u1006\u102d\u102f\u1015\u102f\u1036<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/varianance-inflation-factor-r\/\" target=\"_blank\" rel=\"noopener\">R \u1010\u103d\u1004\u103a Variance Inflation Factor (VIF) \u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1014\u100a\u103a\u1038<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1010\u1005\u103a\u1001\u102f \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1010\u1005\u103a\u1001\u102f\u1011\u1000\u103a\u1015\u102d\u102f\u101e\u1031\u102c \u1018\u1031\u102c\u1004\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1010\u1030\u100a\u102e\u1019\u103e\u102f\u101b\u103e\u102d\u1019\u101b\u103e\u102d \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a Wald \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036 \u1010\u103d\u1004\u103a \u1010\u1005\u103a\u1001\u102f \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1010\u1005\u103a\u1001\u102f\u1011\u1000\u103a\u1015\u102d\u102f\u101e\u1031\u102c \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 \u101e\u102f\u100a\u1014\u103e\u1004\u1037\u103a \u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038\u101b\u103e\u102d\u1019\u101b\u103e\u102d \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a \u1024\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u1000\u102d\u102f \u1019\u1000\u103c\u102c\u1001\u100f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b \u1024\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\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- H 0 : \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c \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\u1021\u1010\u103d\u1032\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u101e\u102f\u100a\u1014\u103e\u1004\u1037\u103a\u100a\u102e\u101e\u100a\u103a\u104b H A : \u1021\u1005\u102f\u101b\u103e\u102d \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\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u101e\u100a\u103a \u101e\u102f\u100a\u1014\u103e\u1004\u1037\u103a \u100a\u102e\u1019\u103b\u103e\u101e\u100a\u103a\u1019\u101f\u102f\u1010\u103a\u1015\u102b\u104b \u1021\u1000\u101a\u103a\u104d \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\u1006\u102d\u102f\u101b\u1014\u103a \u1015\u103b\u1000\u103a\u1000\u103d\u1000\u103a\u1015\u102b\u1000\u104a \u104e\u1004\u103a\u1038\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1005\u1036\u1015\u103c\u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1019\u103e\u102f\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 \u1010\u102d\u102f\u1038\u1010\u1000\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1019\u1015\u1036\u1037\u1015\u102d\u102f\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>R - Statology \u1010\u103d\u1004\u103a Wald \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1014\u100a\u103a\u1038<\/title>\n<meta name=\"description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a Wald test \u1000\u102d\u102f R \u1010\u103d\u1004\u103a \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\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\/wald-\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f-r\/\" \/>\n<meta property=\"og:locale\" content=\"my_MM\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R - Statology \u1010\u103d\u1004\u103a Wald \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1014\u100a\u103a\u1038\" \/>\n<meta property=\"og:description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a Wald test \u1000\u102d\u102f R \u1010\u103d\u1004\u103a \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\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\/wald-\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f-r\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-21T23:01:41+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\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/my\/wald-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba%e1%80%99%e1%80%be%e1%80%af-r\/\",\"url\":\"https:\/\/statorials.org\/my\/wald-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba%e1%80%99%e1%80%be%e1%80%af-r\/\",\"name\":\"R - Statology \u1010\u103d\u1004\u103a Wald 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