{"id":3451,"date":"2023-07-17T10:17:33","date_gmt":"2023-07-17T10:17:33","guid":{"rendered":"https:\/\/statorials.org\/hi\/%e0%a4%86%e0%a4%b0-%e0%a4%ae%e0%a5%87%e0%a4%82-%e0%a4%8f%e0%a4%93%e0%a4%b5%e0%a5%80-%e0%a4%ac%e0%a4%a8%e0%a4%be%e0%a4%ae-%e0%a4%8f%e0%a4%a8%e0%a5%8b%e0%a4%b5%e0%a4%be\/"},"modified":"2023-07-17T10:17:33","modified_gmt":"2023-07-17T10:17:33","slug":"%e0%a4%86%e0%a4%b0-%e0%a4%ae%e0%a5%87%e0%a4%82-%e0%a4%8f%e0%a4%93%e0%a4%b5%e0%a5%80-%e0%a4%ac%e0%a4%a8%e0%a4%be%e0%a4%ae-%e0%a4%8f%e0%a4%a8%e0%a5%8b%e0%a4%b5%e0%a4%be","status":"publish","type":"post","link":"https:\/\/statorials.org\/hi\/%e0%a4%86%e0%a4%b0-%e0%a4%ae%e0%a5%87%e0%a4%82-%e0%a4%8f%e0%a4%93%e0%a4%b5%e0%a5%80-%e0%a4%ac%e0%a4%a8%e0%a4%be%e0%a4%ae-%e0%a4%8f%e0%a4%a8%e0%a5%8b%e0%a4%b5%e0%a4%be\/","title":{"rendered":"R \u092e\u0947\u0902 aov() \u092c\u0928\u093e\u092e anova() \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u092c \u0915\u0930\u0947\u0902"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0906\u0930 \u092e\u0947\u0902 <strong>\u090f\u0913\u0935\u0940()<\/strong> \u0914\u0930 <strong>\u090f\u0928\u094b\u0935\u093e()<\/strong> \u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u0938\u092e\u093e\u0928 \u0932\u0917\u0924\u0947 \u0939\u0948\u0902, \u0932\u0947\u0915\u093f\u0928 \u0939\u092e \u0935\u093e\u0938\u094d\u0924\u0935 \u092e\u0947\u0902 \u0909\u0928\u094d\u0939\u0947\u0902 \u0926\u094b \u0905\u0932\u0917-\u0905\u0932\u0917 \u092a\u0930\u093f\u0926\u0943\u0936\u094d\u092f\u094b\u0902 \u092e\u0947\u0902 \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u091c\u092c \u0939\u092e ANOVA \u092e\u0949\u0921\u0932 \u0915\u094b \u092b\u093f\u091f \u0915\u0930\u0928\u093e \u091a\u093e\u0939\u0924\u0947 \u0939\u0948\u0902 \u0914\u0930 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u094b ANOVA \u0938\u093e\u0930\u093e\u0902\u0936 \u0924\u093e\u0932\u093f\u0915\u093e \u092e\u0947\u0902 \u092a\u094d\u0930\u0926\u0930\u094d\u0936\u093f\u0924 \u0915\u0930\u0928\u093e \u091a\u093e\u0939\u0924\u0947 \u0939\u0948\u0902 \u0924\u094b \u0939\u092e <strong>aov()<\/strong> \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0939\u092e <strong>\u090f\u0928\u094b\u0935\u093e()<\/strong> \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0924\u092c \u0915\u0930\u0924\u0947 \u0939\u0948\u0902 \u091c\u092c \u0939\u092e \u092f\u0939 \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0928\u0947\u0938\u094d\u091f\u0947\u0921 \u0930\u093f\u0917\u094d\u0930\u0947\u0936\u0928 \u092e\u0949\u0921\u0932 \u0915\u0947 \u092b\u093f\u091f \u0915\u0940 \u0924\u0941\u0932\u0928\u093e \u0915\u0930\u0928\u093e \u091a\u093e\u0939\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u0915\u094d\u092f\u093e \u0917\u0941\u0923\u093e\u0902\u0915 \u0915\u0947 \u090f\u0915 \u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u0938\u0947\u091f \u0915\u0947 \u0938\u093e\u0925 \u090f\u0915 \u0930\u093f\u0917\u094d\u0930\u0947\u0936\u0928 \u092e\u0949\u0921\u0932 \u0915\u0947\u0935\u0932 \u0917\u0941\u0923\u093e\u0902\u0915 \u0915\u0947 \u0938\u092c\u0938\u0947\u091f \u0935\u093e\u0932\u0947 \u092e\u0949\u0921\u0932 \u0915\u0940 \u0924\u0941\u0932\u0928\u093e \u092e\u0947\u0902 \u0915\u093e\u092b\u0940 \u092c\u0947\u0939\u0924\u0930 \u092b\u093f\u091f \u092a\u094d\u0930\u0926\u093e\u0928 \u0915\u0930\u0924\u093e \u0939\u0948\u0964<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0909\u0926\u093e\u0939\u0930\u0923 \u0926\u093f\u0916\u093e\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u0935\u094d\u092f\u0935\u0939\u093e\u0930 \u092e\u0947\u0902 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0948\u0938\u0947 \u0915\u0930\u0947\u0902\u0964<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u0909\u0926\u093e\u0939\u0930\u0923 1: \u0906\u0930 \u092e\u0947\u0902 \u090f\u0913\u0935\u0940() \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0948\u0938\u0947 \u0915\u0930\u0947\u0902<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f \u0915\u093f \u0939\u092e \u092f\u0939 \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f <a href=\"https:\/\/statorials.org\/hi\/\u090f\u0915-\u0924\u0930\u092b\u093c\u093e-\u0905\u0928\u094b\u0935\u093e\/\" target=\"_blank\" rel=\"noopener\">\u090f\u0915-\u0924\u0930\u092b\u093c\u093e \u090f\u0928\u094b\u0935\u093e \u0915\u093e<\/a> \u092a\u094d\u0930\u0926\u0930\u094d\u0936\u0928 \u0915\u0930\u0928\u093e \u091a\u093e\u0939\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u0915\u094d\u092f\u093e \u0924\u0940\u0928 \u0905\u0932\u0917-\u0905\u0932\u0917 \u0935\u094d\u092f\u093e\u092f\u093e\u092e \u0915\u093e\u0930\u094d\u092f\u0915\u094d\u0930\u092e\u094b\u0902 \u0915\u093e \u0935\u091c\u0928 \u0918\u091f\u093e\u0928\u0947 \u092a\u0930 \u0905\u0932\u0917-\u0905\u0932\u0917 \u092a\u094d\u0930\u092d\u093e\u0935 \u092a\u0921\u093c\u0924\u093e \u0939\u0948\u0964<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0939\u092e \u090f\u0915 \u092a\u094d\u0930\u092f\u094b\u0917 \u092e\u0947\u0902 \u092d\u093e\u0917 \u0932\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f 90 \u0932\u094b\u0917\u094b\u0902 \u0915\u094b \u092d\u0930\u094d\u0924\u0940 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902 \u091c\u093f\u0938\u092e\u0947\u0902 \u0939\u092e \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u0930\u0942\u092a \u0938\u0947 30 \u0932\u094b\u0917\u094b\u0902 \u0915\u094b \u090f\u0915 \u092e\u0939\u0940\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u094d\u0930\u094b\u0917\u094d\u0930\u093e\u092e \u090f, \u092a\u094d\u0930\u094b\u0917\u094d\u0930\u093e\u092e \u092c\u0940, \u092f\u093e \u092a\u094d\u0930\u094b\u0917\u094d\u0930\u093e\u092e \u0938\u0940 \u0915\u093e \u092a\u093e\u0932\u0928 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0928\u093f\u092f\u0941\u0915\u094d\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0915\u094b\u0921 \u0926\u093f\u0916\u093e\u0924\u093e \u0939\u0948 \u0915\u093f \u0907\u0938 \u090f\u0915\u0924\u0930\u092b\u093e \u090f\u0928\u094b\u0935\u093e \u0915\u094b \u0928\u093f\u0937\u094d\u092a\u093e\u0926\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0906\u0930 \u092e\u0947\u0902 <strong>\u090f\u0913\u0935\u0940()<\/strong> \u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0948\u0938\u0947 \u0915\u0930\u0947\u0902:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#make this example reproducible\n<\/span>set. <span style=\"color: #3366ff;\">seeds<\/span> (0)\n\n<span style=\"color: #008080;\">#create data frame\n<\/span>df &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (program = rep(c(\"A\", \"B\", \"C\"), each= <span style=\"color: #008000;\">30<\/span> ),\n                 weight_loss = c(runif(30, 0, 3),\n                                 runif(30, 0, 5),\n                                 runif(30, 1, 7)))\n\n<span style=\"color: #008080;\">#fit one-way anova using aov()\n<\/span>fit &lt;- aov(weight_loss ~ program, data=df)\n\n<span style=\"color: #008080;\">#view results\n<\/span>summary(fit)\n\n            Df Sum Sq Mean Sq F value Pr(&gt;F)    \nprogram 2 98.93 49.46 30.83 7.55e-11 ***\nResiduals 87 139.57 1.60                     \n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u092e\u0949\u0921\u0932 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0938\u0947, \u0939\u092e \u0926\u0947\u0916 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u0915\u093e\u0930\u094d\u092f\u0915\u094d\u0930\u092e \u0915\u093e \u092a\u0940-\u092e\u093e\u0928 (0.0000000000755) 0.05 \u0938\u0947 \u0915\u092e \u0939\u0948, \u091c\u093f\u0938\u0915\u093e \u0905\u0930\u094d\u0925 \u0939\u0948 \u0915\u093f \u0924\u0940\u0928 \u0915\u093e\u0930\u094d\u092f\u0915\u094d\u0930\u092e\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0914\u0938\u0924 \u0935\u091c\u0928 \u0918\u091f\u093e\u0928\u0947 \u092e\u0947\u0902 \u0938\u093e\u0902\u0916\u094d\u092f\u093f\u0915\u0940\u092f \u0930\u0942\u092a \u0938\u0947 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0905\u0902\u0924\u0930 \u0939\u0948\u0964<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u0909\u0926\u093e\u0939\u0930\u0923 2: \u0906\u0930 \u092e\u0947\u0902 \u090f\u0928\u094b\u0935\u093e() \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0948\u0938\u0947 \u0915\u0930\u0947\u0902<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f \u0915\u093f \u0939\u092e \u090f\u0915 \u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u0915\u0949\u0932\u0947\u091c \u092e\u0947\u0902 \u091b\u093e\u0924\u094d\u0930\u094b\u0902 \u0915\u0947 \u0932\u093f\u090f <strong>\u092a\u0930\u0940\u0915\u094d\u0937\u093e \u0938\u094d\u0915\u094b\u0930 \u0915\u0940<\/strong> \u092d\u0935\u093f\u0937\u094d\u092f\u0935\u093e\u0923\u0940 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f <strong>\u0905\u0927\u094d\u092f\u092f\u0928 \u0915\u093f\u090f \u0917\u090f \u0918\u0902\u091f\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e<\/strong> \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0928\u093e \u091a\u093e\u0939\u0924\u0947 \u0939\u0948\u0902\u0964 \u0939\u092e \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0926\u094b \u092a\u094d\u0930\u0924\u093f\u0917\u092e\u0928 \u092e\u0949\u0921\u0932 \u0915\u094b \u0905\u0928\u0941\u0915\u0942\u0932\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u093e \u0928\u093f\u0930\u094d\u0923\u092f \u0932\u0947 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u092a\u0942\u0930\u094d\u0923 \u092e\u0949\u0921\u0932:<\/strong> \u0938\u094d\u0915\u094b\u0930 = \u03b2 <sub>0<\/sub> + \u092c\u0940 <sub>1<\/sub> (\u0918\u0902\u091f\u0947) + \u092c\u0940 <sub>2<\/sub> (\u0918\u0902\u091f\u0947) <sup>2<\/sup><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u0915\u092e \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u092e\u0949\u0921\u0932:<\/strong> \u0938\u094d\u0915\u094b\u0930 = \u03b2 <sub>0<\/sub> + \u092c\u0940 <sub>1<\/sub> (\u0918\u0902\u091f\u0947)<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0915\u094b\u0921 \u0926\u093f\u0916\u093e\u0924\u093e \u0939\u0948 \u0915\u093f \u092b\u093f\u091f \u0915\u0940 \u0915\u092e\u0940 \u092a\u0930\u0940\u0915\u094d\u0937\u0923 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0906\u0930 \u092e\u0947\u0902 <strong>\u090f\u0928\u094b\u0935\u093e()<\/strong> \u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0948\u0938\u0947 \u0915\u0930\u0947\u0902 \u0924\u093e\u0915\u093f \u092f\u0939 \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0947 \u0915\u093f \u092a\u0942\u0930\u094d\u0923 \u092e\u0949\u0921\u0932 \u0915\u092e \u0915\u093f\u090f \u0917\u090f \u092e\u0949\u0921\u0932 \u0915\u0940 \u0924\u0941\u0932\u0928\u093e \u092e\u0947\u0902 \u0915\u093e\u092b\u0940 \u092c\u0947\u0939\u0924\u0930 \u092b\u093f\u091f \u092a\u094d\u0930\u0926\u093e\u0928 \u0915\u0930\u0924\u093e \u0939\u0948 \u092f\u093e \u0928\u0939\u0940\u0902:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#make this example reproducible\n<span style=\"color: #000000;\">set. <span style=\"color: #3366ff;\">seeds<\/span> (1)\n\n<span style=\"color: #008080;\">#create dataset\n<\/span>df &lt;- data.frame(hours = runif(50, 5, 15), score=50)\ndf$score = df$score + df$hours^3\/150 + df$hours*runif(50, 1, 2)\n\n<span style=\"color: #008080;\">#view head of data\n<\/span>head(df)\n\n      hours score\n1 7.655087 64.30191\n2 8.721239 70.65430\n3 10.728534 73.66114\n4 14.082078 86.14630\n5 7.016819 59.81595\n6 13.983897 83.60510\n\n<span style=\"color: #008080;\">#fit full model\n<\/span>full &lt;- lm(score ~ poly(hours,2), data=df)\n\n<span style=\"color: #008080;\">#fit reduced model\n<\/span>reduced &lt;- lm(score ~ hours, data=df)\n\n<span style=\"color: #008080;\">#perform lack of fit test using anova()\n<\/span>anova(full, reduced)\n\nAnalysis of Variance Table\n\nModel 1: score ~ poly(hours, 2)\nModel 2: score ~ hours\n  Res.Df RSS Df Sum of Sq F Pr(&gt;F)   \n1 47 368.48                                \n2 48 451.22 -1 -82.744 10.554 0.002144 **\n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u091a\u0942\u0902\u0915\u093f \u0906\u0909\u091f\u092a\u0941\u091f \u0924\u093e\u0932\u093f\u0915\u093e \u092e\u0947\u0902 \u092a\u0940-\u092e\u093e\u0928 (0.002144) 0.05 \u0938\u0947 \u0915\u092e \u0939\u0948, \u0939\u092e \u092a\u0930\u0940\u0915\u094d\u0937\u0923 \u0915\u0940 \u0936\u0942\u0928\u094d\u092f \u092a\u0930\u093f\u0915\u0932\u094d\u092a\u0928\u093e \u0915\u094b \u0905\u0938\u094d\u0935\u0940\u0915\u093e\u0930 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 \u0914\u0930 \u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937 \u0928\u093f\u0915\u093e\u0932 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u092a\u0942\u0930\u094d\u0923 \u092e\u0949\u0921\u0932 \u0915\u092e \u0915\u093f\u090f \u0917\u090f \u092e\u0949\u0921\u0932 \u0915\u0940 \u0924\u0941\u0932\u0928\u093e \u092e\u0947\u0902 \u0938\u093e\u0902\u0916\u094d\u092f\u093f\u0915\u0940\u092f \u0930\u0942\u092a \u0938\u0947 \u0915\u093e\u092b\u0940 \u092c\u0947\u0939\u0924\u0930 \u092b\u093f\u091f \u092a\u094d\u0930\u0926\u093e\u0928 \u0915\u0930\u0924\u093e \u0939\u0948\u0964<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u0905\u0924\u093f\u0930\u093f\u0915\u094d\u0924 \u0938\u0902\u0938\u093e\u0927\u0928<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u091f\u094d\u092f\u0942\u091f\u094b\u0930\u093f\u092f\u0932 \u092c\u0924\u093e\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u0906\u0930 \u092e\u0947\u0902 \u0905\u0928\u094d\u092f \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0915\u093e\u0930\u094d\u092f \u0915\u0948\u0938\u0947 \u0915\u0930\u0947\u0902:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/hi\/\u090f\u0915-\u0924\u0930\u092b\u093c\u093e-\u0905\u0928\u094b\u0935\u093e-\u0906\u0930\/\" target=\"_blank\" rel=\"noopener\">\u0906\u0930 \u092e\u0947\u0902 \u090f\u0915\u0924\u0930\u092b\u093c\u093e \u090f\u0928\u094b\u0935\u093e \u0915\u0948\u0938\u0947 \u0928\u093f\u0937\u094d\u092a\u093e\u0926\u093f\u0924 \u0915\u0930\u0947\u0902<\/a><br \/> <a href=\"https:\/\/statorials.org\/hi\/\u0905\u0928\u094b\u0935\u093e-\u0930\u093e-\u0926\u094b\u0924\u0930\u092b\u093e\/\" target=\"_blank\" rel=\"noopener\">\u0906\u0930 \u092e\u0947\u0902 \u0926\u094b-\u0924\u0930\u092b\u093e \u090f\u0928\u094b\u0935\u093e \u0915\u0948\u0938\u0947 \u0928\u093f\u0937\u094d\u092a\u093e\u0926\u093f\u0924 \u0915\u0930\u0947\u0902<\/a><br \/> <a href=\"https:\/\/statorials.org\/hi\/\u0906\u0930-\u092e\u0947\u0902-\u092c\u093e\u0930-\u092c\u093e\u0930-\u092e\u093e\u092a-\u090f\u0928\u094b\u0935\u093e\/\" target=\"_blank\" rel=\"noopener\">\u0906\u0930 \u092e\u0947\u0902 \u090f\u0928\u094b\u0935\u093e \u0915\u0947 \u092c\u093e\u0930-\u092c\u093e\u0930 \u0909\u092a\u093e\u092f \u0915\u0948\u0938\u0947 \u0915\u0930\u0947\u0902<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0906\u0930 \u092e\u0947\u0902 \u090f\u0913\u0935\u0940() \u0914\u0930 \u090f\u0928\u094b\u0935\u093e() \u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u0938\u092e\u093e\u0928 \u0932\u0917\u0924\u0947 \u0939\u0948\u0902, \u0932\u0947\u0915\u093f\u0928 \u0939\u092e \u0935\u093e\u0938\u094d\u0924\u0935 \u092e\u0947\u0902 \u0909\u0928\u094d\u0939\u0947\u0902 \u0926\u094b \u0905\u0932\u0917-\u0905\u0932\u0917 \u092a\u0930\u093f\u0926\u0943\u0936\u094d\u092f\u094b\u0902 \u092e\u0947\u0902 \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u091c\u092c \u0939\u092e ANOVA \u092e\u0949\u0921\u0932 \u0915\u094b \u092b\u093f\u091f \u0915\u0930\u0928\u093e \u091a\u093e\u0939\u0924\u0947 \u0939\u0948\u0902 \u0914\u0930 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u094b ANOVA \u0938\u093e\u0930\u093e\u0902\u0936 \u0924\u093e\u0932\u093f\u0915\u093e \u092e\u0947\u0902 \u092a\u094d\u0930\u0926\u0930\u094d\u0936\u093f\u0924 \u0915\u0930\u0928\u093e \u091a\u093e\u0939\u0924\u0947 \u0939\u0948\u0902 \u0924\u094b \u0939\u092e aov() \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u0939\u092e \u090f\u0928\u094b\u0935\u093e() \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0924\u092c \u0915\u0930\u0924\u0947 \u0939\u0948\u0902 [&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":[],"class_list":["post-3451","post","type-post","status-publish","format-standard","hentry","category-3"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u0906\u0930 - \u0938\u094d\u091f\u0947\u091f\u094b\u0930\u093f\u092f\u0932\u094d\u0938 \u092e\u0947\u0902 \u090f\u0913\u0935\u0940() \u092c\u0928\u093e\u092e \u090f\u0928\u094b\u0935\u093e() \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u092c \u0915\u0930\u0947\u0902<\/title>\n<meta name=\"description\" content=\"\u092f\u0939 \u091f\u094d\u092f\u0942\u091f\u094b\u0930\u093f\u092f\u0932 \u0909\u0926\u093e\u0939\u0930\u0923\u094b\u0902 \u0938\u0939\u093f\u0924 \u092c\u0924\u093e\u0924\u093e \u0939\u0948 \u0915\u093f R \u092e\u0947\u0902 aov() \u092c\u0928\u093e\u092e anova() \u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u092c \u0915\u0930\u0928\u093e \u0939\u0948\u0964\" \/>\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\/hi\/\u0906\u0930-\u092e\u0947\u0902-\u090f\u0913\u0935\u0940-\u092c\u0928\u093e\u092e-\u090f\u0928\u094b\u0935\u093e\/\" \/>\n<meta property=\"og:locale\" content=\"hi_IN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0906\u0930 - \u0938\u094d\u091f\u0947\u091f\u094b\u0930\u093f\u092f\u0932\u094d\u0938 \u092e\u0947\u0902 \u090f\u0913\u0935\u0940() \u092c\u0928\u093e\u092e \u090f\u0928\u094b\u0935\u093e() \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u092c \u0915\u0930\u0947\u0902\" \/>\n<meta property=\"og:description\" content=\"\u092f\u0939 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