Өзін тексеру сұрақтары:
Регрессия теңдеуінің сапалық бағасы.
Фишердің F-критерийі
Детерминация коэффициенті
Әдебиет:
К. Доугерти Введение в эконометрику. Пер. с англ. Москва-1997.
Просветов Г.И. Эконометрика: задачи и решения. Уч. Методическое пособие. Москва 2004г.
Брейли Р. Принципы корпоративных финансов: Пер. с англ.-М.:ЗАО «Олимп-Бизнес», 1997
Ә.Ж. Сапарбаев, А.Т. Мақұлова. Эконометрика. Алматы: Бастау, 2007ж.
Дәріс№ 8. Регрессия коэффициенттерінің және гипотезаларды тексеру. Регрессия коэффициенттерінің кездейсоқ құрушылары. Регрессия коэффициенттерінің нақтылығы және ауытқымаушылығы. Гаусс-Марков теоремасы.
Дәріс жоспары:
Модельдің адекваттылығы ұғымы
Бұрылу нүктелері критерийі.
Қалдық бөлімнің кездейсоқтық, тәуелсіздік және қалыпты үлестірілу қасиеттері.
Статистикалық көзқараспен модель жақсы деп аталады, егер адекватты және жеткілікті дәл болса. Модель адекватты болады, егер қалдық қатардың мәндерінің математикалық күтімі нольге жуық немесе тең болса, және қалдық қатардың мәні кездейсоқ, тәуелсіз және қалыпты үлестіру заңына бағынатын болса.
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4vbOvHEE7t37/7www+XunLRokVXXHFFWZ4TIKvpIpklS2+MyhB+epTPHXfc8fLLL3/99delrnzmmWdOP/30srwuR/bSRYCKyvb/kdSpU+ehhx7q0KFDWRb37t27Xbt2e+21V9RTJUUXy6lNmza5/TiNSvX0FsC///u/9+zZc8SIEaWuLCgouPTSS59//vkYpkqELpaTl5aEyinHLi5u6/bbb580adKXX35Z6srx48ePGjWqW7du0Q+VAF0E4H/stttuI0eOTG0cy3KzcL9+/Y4//vgmTZrEMFjMdBGgQrL94uK22rdv36tXr/vvv7/UlStWrOjevXtOvs6uLgIQDB06dOLEifPmzSt15SuvvHLfffddccUVMUwVJ10EKKscvri4Ve3atR9++OHUxrEs++BrrrnmxBNP/OlPfxrDYLHRRQD+j2OPPbZ3797Dhg0rdeXq1au7du36xhtv5NL/GHQRoPxy6eLitv785z//53/+59y5c0td+fbbb99+++1XX311DFPFQxcB2F7NmjUffvjhdu3alSX8N9xww8knn3zggQfGMFgMdBHIYltvvoth35ZLNxWWxa9+9au+ffveddddpa5cv359ly5dpk6dWrVq1RgGi5ouAllpu0qlPszVmzQTNGTIkBdffPHzzz8vdeUHH3wwePDg1MYxhqmipotAlvmxfVv8acz5EteoUeORRx75t3/7t7K8OODAgQNPPfXU1q1bRz9XtHQRyBql3pJp15h2Rx99dL9+/f7617+WunLjxo1dunRJbRzz8/NjGCw6ughkgcSv7SU+QIIGDRo0YcKE2bNnl7pyxowZN95445AhQ2KYKjq6CGS6nWqSLWPa7brrrqNGjTrmmGMKCwtLXfyXv/zltNNOO/LII2MYLCK6SBpU5v9KV1rxtCeTf7UqVX2POOKI3//+90OHDi11Zaqd3bp1++ijj2rUqBHDYFHQRSoqk/9yEZ2ot2UV+b2yZYzCLbfcMn78+JkzZ5a68rPPPrvmmmvK8gCPzKSLVIgoknZ+qTJT9erVR48efdRRR5Xl1tRhw4adfvrp7dq1i36u9NNFIFOUsYhb9oIlL07vllGqt2jbtu0f//jHstytJvXDv/jiiz/55JPddtsthsHSSxeB5O1UEct+TLempt1NN900fvz4GTNmlLryyy+/vPLKK0eMGBHDVOmli0B22C5yqQ8T3MZV2uLm5+ePGjXqyCOP3LRpU6mLR44cecYZZ5x00kkxDJZGukiFVNq/DsSp3L9mtoxROPTQQ/v37z9w4MCyLO7Zs2dqc1m/fv2Ih0onXQQyV8lVi2fL6OLiD914440vvPDCxx9/XOrKBQsW9OnT57HHHothqnTRRSB5PyxcuvZ5toxRqFat2ujRow8//PCNGzeWuviJJ544o1gMg6WFLpZT165dN2zYkPQUEfrzn/+87777Jj0FlUj56lWWLWPa0yi0Ka1atbr22mtvvvnmsiy+/PLLf/WrX+25555RT5UWulhOzzzzzPr165OeIkL9+/fXRbJCsnfAqcyuu+66F154Ydq0aaWuXLx4ca9evcaOHRvDVBWni0DuK/eWUXFLUK1atVGjRh122GFlufFs3Lhxjz322IUXXhjDYBWki0DWs2VMysEHH3xDsbIs7tu3b/v27aMeqeJ0EagU0nWV0cXF7fTv3//vf//7Bx98UOrK5cuX9+jRI4aRKkgXgVxgy5iUqlWrjho1qk2bNmW5NfWll16KYaQK0kUgR5Saxp3dMgptGR100EE33XTTtddem/Qg6aGLQCXi4YwR+eMf/zhu3Lj33nsv6UHSQBfLadiwYWV5esDs1bRp06RHgJ0W9a2pmvpj8vLyRo8efcghh+TAA9h0sZyy4uox8EO2jBFp0aLFLbfccs011yQ9SEXpIpBT0rVldHGxHH7/+9+PGzdu6tSpSQ9SIboIVDq2jBHJy8sbNWpU69at161bl/Qs5aeLQK6J6ElTpbQsfvaznw0cOPDqq69OepDyS6aLa9asqVWrViKnBioDD2dM0JVXXjlu3Li333476UHKKZIu5ufnl/ziI8uWLdNFIFklbBk1tSJSP71HHnmkdevWqS1Q0rOURyRdrFev3pIlS0pYMGPGjH322SeKUwNsYcuYoGbNmg0ePLhfv35JD1IeyXTx9ddf79ChQxSnBii7sl9ldHFxZ/Xt23fs2LFvvvlm0oPstEi6uPfee8+dO7eEBY8++ugtt9xSrZp7/QARsmVM1iOPPNKqVavVq1cnPcjOiaRMbdq0Kfn/CAsWLBgwYEAZX+gZoNzK8aSpUpouP/3pT2+99dbf/va3SQ+ycyLp4mGHHVbqmoEDB+61115XXHFFFAMAlJ2HM0and+/eY8eO/ec//5n0IDshki6ecMIJ1atXL/k1R1K/hX369Hn++edTaTzqqKP22GOPjRs3rlmzZtGiRfPnz587d+7MmTNnzJgxffr07777LoohgUqi4remqmZFPPzwwy1btly1alXSg5RVJF1s2LBhp06dnnnmmVJXvlwsihkAys6WMTo/+clPhg4dmkW3DkZ1z5crr7zy2Wef9XsGZIKybxkz/OJiYWHhF198MXv27FmzZm15m7LDlXvsscfP/q/mzZvXrFkz5oG36NWr19ixY1999dVEzr6zouriEUcckfrfwb333hvR8QHSK2O3jE8//fT06dO3hHDOnDklP2vKVgUFBVOLbf1M6hvce++9t2ayY8eO+++/f2RTb2/kyJEHH3zwypUrYztjuUX4SIlbb731nXfeef/99ytykDZt2qRrHqAyK+OTpu7wC6OZqKz69eu3aNGiih8n9Y3ML/baa6+lPqxevXrv3r0rftgy2nffff/yl79cdtllsZ2x3CLsYu3atVO75lNOOaV8j+s87LDDrrrqqrPPPjvtgwGVk4czJqtnz55jx46dNGlS0oOUItpH1tepU2fy5MnDhw+/+eaby3K30mrVqqU2iCeddNJZZ5114IEHRjobADF76KGHDj744O+//z7pQUoS+TPOVK1a9fLLL+/Wrdsrr7wyceLEd999d3GxjRs31qxZc/fdd2/atGmzZs1SOWzbtm3r1q1r1KgR9UhApZWNW8aFCxcmPULaNGnSZNmyZUlPUYqYnoktlcBTi8VzOoC0SPziIvHzDKVA5ZKNW0bipItApSONlEAXASDQRaAyKsuW0cXFykkXASDQRaCScpWRHdJFgB1wI2qlpYtA5WXLyA/pIlCpbdkXbldHm8XKTBcBhJBAFwEg0EUACHQRAAJdBIBAF8lcRUVF/1Vs5syZc+bMWVRsyZIla9euXV8sPz+/Ro0aNWvW3PI2ZY899thnG02aNGnevHnt2rWT/laArKGLZJzZs2ePGzfu9ddfnzJlysqVK0tYuaWOpb72d9OmTQ8s1qJFi5YtW7Zu3TpV0LSODOQOXSRTFBQUjBw58tFHH/3000/Te+Svi02aNGnLh1WrVk01sk2xPn36pPdcQLbTRZK3cOHCW265JVXEtWvXxnC6wsLCGcVGjx6ti8B2dJEkbdiwYeDAgbfffns8RQQolS6SmI8++uiiiy4qy62mTZo0+fWvf926deuDDjpo7733btSoUa1atWrUqFFUVJQK6sqVKxcsWPDNN9988sknqWO++eabS5YsiWF+ICfpIskYO3ZsKorr1q0rYU3Dhg179Ohx/vnnt2zZcocL8vLy6hRLxbJt27adOnXapfgJvT744IMxY8Y88cQTqVhGMTyQw3SRBDzwwAO9e/cu4Rkp69evf/31119xxRWpTeHOHrxKlSptiw0ZMuSFF17461//mtpBVmxeoBLRReL29NNP9+nTp4QoHn/88Y8++mijRo0qeKJUIE8rNnHixKuvvvq//uu/KnhAoDLQRWL1ySefdOvWraio6McWXHLJJandZF5eXhpPeuKJJx533HGpNN5zzz1pPCyQk3SR+Kxfv/68885Lvf2xBWeeeebw4cOjOHV+fn7//v11ESiVLhKfu+66q4QbM/fbb7+RI0dGd/bGjRvvs88+8+fPj+4UQA7QRWKyfPnyIUOGlLBg8ODBderUiXSGI4444rnnnov0FEC200ViMmrUqBKeyLRJkybnnntu1DMcfvjhugiUTBeJyYgRI0r413POOadKlSpRz5DaL0Z9CiDb6SJxmDNnzsyZM0tY8Otf/zqGMdq2bZuXl1fCvWEBdJE4vPzyyyUvOOigg2IYo3bt2j//+c9nzJgRw7mALKWLxOH9998vecFee+0VzySHH364LgIl0EXiMGvWrJIX5OfnxzPJEUcc8fDDD8dzLiAb6SJx+PLLL0tesGLFit133z2GSdz1BiiZLhKHlStXlrxgwYIF8XSxZcuW7ncDlEAXicPq1atLXjBt2rR47noDUDJdJA7Vq1cv+aUWX3rppQsvvDC2eQB+jC4Sh9q1a5fcxXHjxq1YsaJu3bqxjQSwQ7pIHOrVq7d06dISFqxZs2bAgAG33XZbbCMB7JAuEoef/OQnX3zxRclr7r777s6dOx955JHxjASwQ7pIHJo1azZ58uSS12zcuPHMM8+cMmXKvvvuG89UAD+ki8ThkEMOKcuyBQsWtG/fPlVQaQSSoovEoV27dmVc+cUXX2x5lcSjjjoqyokAdkwXicMBBxyw3377lfqsN1ssWrTo2GOP/dOf/nTddddVr1496tkAtqWLxOTiiy++6aabyrh406ZNAwYMePTRR1NvL7jgghhemhFgC10kJj169Bg8ePCGDRvK/iWp/WWXLl1uv/32G2644bTTTqtatWp04wFsoYvEZJ999rn00kuHDRu2s184ffr0M888s3HjxpdccknPnj2bNGkSxXgAW+gi8Ult+x577LHly5eX42sXLlw4YMCA1I7zuOOOu+CCC04//fTddtst3QMC6CIx2nPPPe+6666uXbuW+wiFhYWTivXq1atjx46pQJ544onVqvk1BtLGHxRiddFFF02cOPHJJ5+s4HHWrl37dLEGDRqcffbZ559//jHHHJOWCYFKTheJ28iRIz///PP3338/LUcrKCh4oNj+++/fvXv31GZ07733TsuRgcpJF4lbjRo1XnrppeOPP37atGlpPOzcuXOvu+66G2+8sUOHDpdffvnJJ5+cxoMDlYcukoDdd9998uTJF1544YQJE9J75MLCwheLHXDAAf369evSpUvNmjXTewogt+kiyahXr9748eNvu+221CZv06ZNaT/+7NmzU7vG66+//ne/+10qkO68CpSRLpKkP/zhD7/85S8vuuiiefPmRXH8pUuX3njjjXffffeAAQMuvfRSz5sDlEoXSdjRRx89c+bMe++9d9CgQQUFBVGcYsmSJam946hRo/72t781a9YsilMAOUMXSV716tWvvPLKHj163HrrralArly5MoqzvPPOO4ceeujw4cPPPffcKI4P5AZdJFPUrVt38ODB1157bWpjd999982aNSvtp1i1atX5558/e/bs//iP/0j7wYHcoItklt12261PsVdffTW1t3vhhRfWr1+f3lPcfPPNBQUFd911V3oPC+QGXSRDHVds+fLlTz311OjRo9955500Hvyee+6pU6fOwIED03hMIDfoIhmtfv36vYp9/vnnjz/++BNPPDFnzpy0HHnw4MGtWrU666yz0nI0IGfoItmhefPmNxV79913U4F8+umnv/vuuwoes0ePHocffvh+++2XlgmB3KCLZJnDi91xxx0vv/xyKpDPPffcmjVryneoVatWXX755S+++GJ6JwSymi6SlfLy8joUu+eee0aOHHnfffd98cUX5TjOxIkTJ0yY4MlUga10kexWr169q6666sorr0zl7frrr//444939gg33nijLgJb6SK5oEqVKqeccspvfvOb4cOHpzq3ZMmSsn/ttGnTJk+e3L59++jGA7KILpI78vLyevXqdd555/Xr12/06NFl/8JHHnlEF4EtdJFcU69evVTn2rVrd+mll27cuLEsXzJu3LjUyvz8/KhnAzKfLpKbunbt2rhx406dOq1bt67UxWvWrHnvvfeOPvroGAYDMpwukrNOOOGExx577Oyzzy4qKip18RtvvKGLwC66SG4744wzrrnmmiFDhpS6cubMmTHMA2Q+XSTH3XLLLePHj58xY0bJy8r38Ecg9+giOa5q1aqDBg067bTTSl72zTfflO/4hxxyyPTp08v3telVlpuLgVLpIrnv1FNPbdq06ddff13CmlWrVsU2D5DJdJFKoXPnznfeeWcJC1avXl2+I7dp0+bbb79dtGhR+b4cyDS6SKVw5JFHlrygjI90/KGHHnoo9bagoODT/2vx4sXlOyCQLF2kUjj44INLXlCzZs2KHL9Bgwa/Krb1M3l5eT+2uNQLgakFhYWFG/5Xqtmp7eyqVatWrlyZert8+fJUdBcsWPDGG2+89957FRkb+CFdJA7bRmLmzJkHHHBAzAP8y7/8S8kLatWqFc8kZZFXLD8/v3bt2iUse+65584888zYpoJKQheJ27Rp0+LvYr169Upe0LBhw3gmSaNmzZolPQLkIF0kbqkunnvuuTGftNSbLvfbb794JkkjXYQo6CJxS3Ux/pOuWbOm5AXZ2MVatWo1atTo22+/TXoQyCm6SNwS6eKCBQtKXtCqVat4Jkmv1JZRFyG9dJG4LV269Ouvv27atGmcJ507d27JC0p9IEdmSnXxrbfeSnoKyCm6SAJSW8aYu1jy4xnq1q1b6gM5MpNLjJB2ukgCUl3s2LFjnGd8/fXXS/jXk08+uWrVqrENk0a6CGmniyQg5kuMS5YsmTJlSgkLOnfuHNsw6aWLkHa6SAJi7uLIkSMLCwt/7F8bNWp06qmnxjlPGjVv3jzpESDX6CIJ+PrrrwsKCho0aBDDudatWzds2LASFvTu3Ts/Pz+GSaJQp04dLy8F6aWLJGP8+PFdu3aN4URDhw6dP3/+j/1rw4YNU12MYQwgW+giybjssssaNWrUoUOHSM/y4YcfDho0qIQFAwYMqF+/fqQzANlFF0nGhg0bOnbsOGTIkKuuuiqiU6S2iZ06dSrhBaSOPvroSy+9NKKzA1lKF0lMqlhXX331pEmT7rnnnrTff2TevHknnnjiN99882MLGjZs+PTTT5fwalBA5aSLJCzVxV/84he9e/e+5ppr9tprr7Qcc8KECd27dy/hlYFr1Kjx7LPP7rPPPmk5HZBLdJHkpTaOd9555/3333/hhRf27du3Ik898+WXX1577bVPPvlkCWvy8/PHjBnTrl27cp8lfqtXr65Xr96Wu566AypEShfJFOvXrx9ZLLV9PO+880499dTUO2X82lQq3nrrrQcffDAVvBIuKKY0aNDgmWeead++fTpGjs+HH34ohxAPXSTjzJgx47pie+65Z2pX16pVqxYtWhxwwAENGzasU6dOrVq1UgVdu3btt99++9VXX6UWv//++6+++uqSJUtKPXLr1q2fffbZ/fffP4bvIr1S32PSI0BloYvE4aSTTnr55Zc3bdq0U1+1ePHiZ4tVfIBdd931+uuv79+/f5Y+D6ouQmx0kThMmDBhS+TGjRv3+uuv72wgKyI/P79bt26p3ee+++4b20nTThchNrpITPbcc88rin3//fevvPLK5GKzZ8+O7oxNmjRJFbFnz54xv6ZV2q1YsWLOnDlJTwGVhS4St3r16nUutkvxaxS/++6777zzzkcfffTpp5/Omzev4vcuadmyZYcOHU466aRjjz22SpUq6Rg5YR988MHmzZuTngIqC10kSQ0bNjyp2JYP169f//nnn6fq+NVXX3355ZcLFixYsmRJQUFBKp8rV65M/euGDRs2btyYql2NYrVr127UqNHee++9zz77tGjRolWrVqko1q1bN9lvqlSeTAAymS6SQXbddddfFEt6EKDy0kUACHQRAAJdhLjt7H2LXnvtteOOOy6iYYDt6CJkujZt2lSpUsVdUiEeugiZrm7dus2aNfv888+THgQqBV2ELNC2bVtdhHjoImSBVBdLfvEsIF10EbJAqotJjwCVhS5CFjj00EPz8vK8BCPEQBchC9SuXTvOFyGBykwXASDQRQAIdBEAAl0EgEAXASDQRcgR33zzzb777pt6p3r16uvWrUt6HMhWugg54u23397yTt26dZOdBLKaLkKO0EVIC12EHKGLkBa6CLlg9erVH3/88Zb3dREqQhchF0ydOrWwsHDL+7oIFaGLkAu23oi6iy5Cxegi5AJdhHTRRch6RUVFU6dO3fqhLkJF6CJkvU8++WTlypVbP9RFqAhdhKy37Y2ou+giVIwuQuYqKiraVGzDhg3riq1Zs2bt2rWp3eH333+/dOnSRYsWffXVV5MmTdr2q3QRKkIXIQ1Sofr0009nbKOExXl5eZEOo4tQEboIFdK7d+8JEyakNm1JDxLoIlSELkKFTJkyJaOiuIsuQsXoIuQaXYSK0EWokGnTpiU9ApBOuggAgS4CQKCLABDoIgAEuggAgS4CQKCLABDoIgAEuggAgS4CQKCLABDoIgAEuggAgS4CQKCLABDoIgAEuggAgS4CQKCLABDoIgAEuggAgS4CQPD/AIKDSWd6CN8FAAAAAElFTkSuQmCC) . Қалдық қатардың деңгейінің математикалық күтімінің нольге тең болатынын Стьюденттің t-критерийі арқылы анықтаймыз:
Мұндағы Ē – қалдық қатардың деңгейінің орташа мәні;
Se – қалдық қатар деңгейінің орташа квадраттық ауытқуы.
Ē мәні модулі бойынша алынады, таңбасы ескерілмейді:
Е![](data:image/png;base64,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)
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) гер Ē =0, онда
Егер р берілген деңгейдегі сенімділік ықтималдығы t>tтабл болса, онда гипотеза қайтарылады. N=9 және р=70% болғанда, t кесте=1,05.
2. Қалдық қатар деңгейінің кездейсоқтығын бұрылу нүктелері критерийі негізінде тексереміз. Критерий бойынша, қатардың әрбір деңгейі қатар тұрған екеуімен салыстырылады. Егер ол колардын кіші немесе үлкен болса, онда бұл нүкте бұрылатын деп есептеледі. Ары қарай "р"бұрылу нүктелерінің қосындысы есептеледі. Сандардың кездейсоқ қатарында қатаң теңсіздік орындалуы қажет.:
р> [2(N-2)/3-2√(16N-29)/90].
3. Тәуелсіздікке тексеру барысында (автокорреляцияның болмауы) қалдық қатарда жүйелік құраушылардың болмауымен анықталады. Бұл Дарбин-Уотсонның d-критерийі арқылы анықталады, сәйкес d коэффициенті есептеледі:
О![](data:image/png;base64,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) сы критерийдің есептелген шамасы екі кестелік деңгеймен салыстырылады (төменгі d1 және жоғарғы d2) Егер d немесе (d`) 0 мен d1 интервалында жатса, онда қалдық қатар деңгейі қатты автокоррелярланған, модель адекватты емес болады. Егер оның мәні d2 мен 2 аралығына жатса, онда қалдық қатар деңгейі тәуелсіз болады. Егер d>2, онда кері корреляция бар болады және кестеге қосуда оның шамасын d' =4- d түрде өзгерту қажет.
Егер есептеу мәні d1 және d2 аралығында жатса, онда нақты шешім қабылдау мүмкін емес, сондықтан басқа критерийлерді пайдалану абзал, мысалы, автокорреляцияның бірінші коэффициентін r(1), ол мына формуламен есептеледі:
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) гер r(1) > r кест (N<15 болғ, r кест = 0,36), онда қалдық қатарда автокорреляцияның барлығы тұжырылымдалады.
4. Қалдық қатардың қалыпты үлестірілу заңына бағынуын RS-критерийінің көмегімен анықтаймыз.
RS= [ Emax-Emin]/ Se
Мұндағы Emax – қалдықтардың максималды деңгейі;
Emin – қалдық қатарының минималды деңгейі;
Se – орташа квадраттық ауытқу.
Егер критерийдің мәні осы екі кестеленген аралықта берілген ықтималдық деңгейінде жататын болса, қалдық қатарының қалыпты үлестірім туралы гипотезасы орындалады.
15>
Достарыңызбен бөлісу: |