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@kiwamizamurai
Created April 10, 2019 00:47
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "Information_Criterion.ipynb",
"version": "0.3.2",
"provenance": []
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
}
},
"cells": [
{
"metadata": {
"id": "bTfjBBdgiRCt",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"# References\n",
"\n",
"- http://matuisi.main.jp/wp-content/uploads/2013/05/AIC.pdf\n",
"- https://www.phys.chuo-u.ac.jp/public/tag/kougi/2004/toukei/presen6.pdf"
]
},
{
"metadata": {
"id": "njmP8oUeiLS3",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"\n",
"\n",
"from pylab import rcParams\n",
"rcParams['figure.figsize'] = 13, 5\n",
"plt.rcParams['legend.fontsize'] = 18"
],
"execution_count": 0,
"outputs": []
},
{
"metadata": {
"id": "gimBBShAig-z",
"colab_type": "code",
"outputId": "1b49cdd4-f888-4bf2-cde8-42fb24200146",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 340
}
},
"cell_type": "code",
"source": [
"np.random.seed(69)\n",
"\n",
"x = np.linspace(0, 3, 10)\n",
"y = x + 3 + np.random.randn(10)\n",
"\n",
"plt.scatter(x, y)"
],
"execution_count": 2,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7fcd196acb00>"
]
},
"metadata": {
"tags": []
},
"execution_count": 2
},
{
"output_type": "display_data",
"data": {
"image/png": 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pdQQAAJtrnKU+z+nuP07yx6PjX7hs/J+S/MgkG9tM55aW1zUOAADb3SC/uXff3pl1jQMA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\n",
"text/plain": [
"<Figure size 936x360 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "r5U8A9XojCHN",
"colab_type": "code",
"outputId": "b72096bc-6a13-4d3e-b4d4-2ab5bcf8709f",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
}
},
"cell_type": "code",
"source": [
"from sklearn.linear_model import LinearRegression\n",
"\n",
"reg = LinearRegression().fit(x.reshape(-1, 1), y.reshape(-1, 1))\n",
"\n",
"\n",
"print('RSS: {}'.format(reg.score(x.reshape(-1, 1), y.reshape(-1, 1))))"
],
"execution_count": 3,
"outputs": [
{
"output_type": "stream",
"text": [
"RSS: 0.6646260333072637\n"
],
"name": "stdout"
}
]
},
{
"metadata": {
"id": "25SirqU3jCz1",
"colab_type": "code",
"outputId": "1880f20f-a8be-47b2-d04c-c5c91b0c2db9",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 340
}
},
"cell_type": "code",
"source": [
"plt.plot(x, reg.predict(x.reshape(-1, 1)), label='predict')\n",
"plt.scatter(x, y, label='data', c='r')\n",
"plt.legend()"
],
"execution_count": 4,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7fcd08d73400>"
]
},
"metadata": {
"tags": []
},
"execution_count": 4
},
{
"output_type": "display_data",
"data": {
"image/png": 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vAcZ8H2iy1v5/Z1lzCCg82zkBhYWFdtu2bef12iIiIgJtnWFe3FuJLxBky/uV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\nAQZ/SZIkqQcY/CVJkqQe8D+x5ZQIKMaYrgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 936x360 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "_9QvpiKsmZ9i",
"colab_type": "code",
"outputId": "c531b596-1894-4f6e-8e53-a2d6c2084eb2",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
}
},
"cell_type": "code",
"source": [
"from sklearn.preprocessing import PolynomialFeatures\n",
"\n",
"poly = PolynomialFeatures(2).fit_transform(x.reshape(-1, 1))\n",
"\n",
"poly_reg = LinearRegression()\n",
"poly_reg.fit(poly, y.reshape(-1, 1))\n",
"\n",
"print('RSS: {}'.format(poly_reg.score(poly, y.reshape(-1, 1))))"
],
"execution_count": 5,
"outputs": [
{
"output_type": "stream",
"text": [
"RSS: 0.7048216081452479\n"
],
"name": "stdout"
}
]
},
{
"metadata": {
"id": "7n9yfaEpn2IR",
"colab_type": "code",
"outputId": "7fb0befa-90d1-4e33-cf2c-428038bcb2ff",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 341
}
},
"cell_type": "code",
"source": [
"plt.plot(x, poly_reg.predict(poly), label='poly_predict')\n",
"plt.plot(x, reg.predict(x.reshape(-1, 1)), label='predict')\n",
"plt.scatter(x, y, label='data', c='r')\n",
"plt.xlim(-1,4)\n",
"plt.ylim(1,7)\n",
"plt.legend()"
],
"execution_count": 6,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7fcd064f5e10>"
]
},
"metadata": {
"tags": []
},
"execution_count": 6
},
{
"output_type": "display_data",
"data": {
"image/png": 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c3KHT1dDrJoi+FE4ytdJuN/ls/QGeX7yN/XmlXB4Xxt9HxNGhhWN3ExeRhs04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\nptADAMDAFHoAABjY/wMe8fasScGD5gAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 936x360 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "9rWR6NY3pREH",
"colab_type": "code",
"outputId": "09d8eefe-0e5d-4e39-cdf6-251a2fd10ae1",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
}
},
"cell_type": "code",
"source": [
"x = x.reshape(-1, 1)\n",
"y = y.reshape(-1, 1)\n",
"\n",
"plt.figure(figsize=(20, 5))\n",
"\n",
"np.random.seed(459)\n",
"X = np.linspace(0, 3, 10)\n",
"Y = (X + 3 + np.random.randn(10)).reshape(-1, 1)\n",
"\n",
"prediction = []\n",
"R2 = []\n",
"prediction_new = []\n",
"R2_new = []\n",
"\n",
"for deg in range(7):\n",
" deg += 1\n",
" poly = PolynomialFeatures(deg).fit_transform(x)\n",
" poly_reg = LinearRegression()\n",
" poly_reg.fit(poly, y)\n",
" \n",
" prediction.append(poly_reg.predict(poly))\n",
" R2.append(poly_reg.score(poly, y))\n",
" \n",
" #plt.plot(x, poly_reg.predict(poly), label='poly_{}'.format(deg))\n",
" #print('RSS: {:.2} (deg:{})'.format(poly_reg.score(poly, y), deg))\n",
" \n",
" \n",
" prediction_new.append(poly_reg.predict(poly))\n",
" R2_new.append(poly_reg.score(poly, Y))\n",
"\n",
"#plt.scatter(x, y, label='data', c='r')\n",
"#plt.legend()\n"
],
"execution_count": 19,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 1440x360 with 0 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "RqVOHuLapdCp",
"colab_type": "code",
"outputId": "c0ec8fd5-7af8-42e4-d9fd-9aa2528091f4",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 337
}
},
"cell_type": "code",
"source": [
"import pandas as pd\n",
"df = pd.DataFrame([R2, R2_new],\n",
" index=['RSS', 'RSS_new'],\n",
" columns=['1','2','3','4','5','6','7'])\n",
"df.T.plot.bar(alpha=0.6)"
],
"execution_count": 20,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7fcd0452e518>"
]
},
"metadata": {
"tags": []
},
"execution_count": 20
},
{
"output_type": "display_data",
"data": {
"image/png": 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P6nWvvPJK9ch7TRUVFXrjjTeUmpqqnJycU9B51dSf4cOHa+nSpXr77beP2u7uR11jUFBQ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\n",
"text/plain": [
"<Figure size 936x360 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "nis6s_Ra0LCM",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"上はカラムが次数で数値が決定係数"
]
},
{
"metadata": {
"id": "WlfrdWNTuLic",
"colab_type": "code",
"outputId": "bbc11493-b08f-44a1-c580-027de272d52f",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 504
}
},
"cell_type": "code",
"source": [
"plt.figure(figsize=(20, 8))\n",
"\n",
"for i, pre in enumerate(prediction):\n",
" plt.plot(x, pre, label='RSS: {:.02}'.format(R2[i]))\n",
"\n",
"plt.scatter(x, y, label='data', c='r')\n",
"plt.ylim(1,8)\n",
"plt.xlim(-0.2,4)\n",
"plt.legend()"
],
"execution_count": 21,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7fcd0449c198>"
]
},
"metadata": {
"tags": []
},
"execution_count": 21
},
{
"output_type": "display_data",
"data": {
"image/png": 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z1FNPsX//ft55552L3v/ggw8yZMiQWte//PJLZs+ezahRoxq85sak8EdERERERKQpGAak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Bs+utFYVadOkz1tGjUJCVj17YvrO1MxcnRs8nVeVW0lnFkHh5ZB1jEwtoT2o6HTeHB94PbORQgh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"text/plain": [
"<Figure size 1440x576 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "YtXI3QTa1EM6",
"colab_type": "code",
"outputId": "ab524ab2-5f66-4ab3-b6c3-709aeb1267be",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 504
}
},
"cell_type": "code",
"source": [
"plt.figure(figsize=(20, 8))\n",
"\n",
"for i, pre in enumerate(prediction_new):\n",
" plt.plot(x, pre, label='RSS_new: {:.02}'.format(R2_new[i]))\n",
"\n",
"plt.scatter(X, Y, label='data', c='r')\n",
"plt.ylim(1,8)\n",
"plt.xlim(-0.2,4)\n",
"plt.legend()"
],
"execution_count": 22,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7fcd044b27b8>"
]
},
"metadata": {
"tags": []
},
"execution_count": 22
},
{
"output_type": "display_data",
"data": {
"image/png": 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zTbZ26XQ6/Pz8SExMbJUtX/WmT5+OjY0NK1asYPHixVhZWTFmzBhWrlxJp06dGj1OQkIC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VMZPXo0iqKQn5/Ppk2beP7550lNTeXDDz/UmTtt2jS2b9/O0KFDWbBgAfb29ly6dIkTJ07w5ptv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\nDqXyAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 1440x576 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "kNPprnvF2U8p",
"colab_type": "code",
"outputId": "caff9efb-1a67-42d0-aac6-2de8ad931d7b",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 337
}
},
"cell_type": "code",
"source": [
"df.T.plot.bar(alpha=0.6)"
],
"execution_count": 23,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7fcd04472048>"
]
},
"metadata": {
"tags": []
},
"execution_count": 23
},
{
"output_type": "display_data",
"data": {
"image/png": 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P6nWvvPJK9ch7TRUVFXrjjTeUmpqqnJycU9B51dSf4cOHa+nSpXr77beP2u7uR11jUFBQ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\nVh6xrrDG628l/Sy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"text/plain": [
"<Figure size 936x360 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "VcNyL63_359P",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"- 次数が高すぎるモデル high degree\n",
" - 当てはまりが良くなる good fit\n",
" - 未知のデータに当てはまらない bad forecast\n",
"- 次数が低すぎるモデル low degree\n",
" - 当てはまりが悪くなる bad fit\n",
" - 未知のデータに当てはまる good forecast"
]
},
{
"metadata": {
"id": "0IE7i1W3tR_r",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"何が言いたいかって、字数あげるとfitするけどoverfittingになるからほどほどにということ"
]
},
{
"metadata": {
"id": "8eaCB5Yt4NES",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"# AIC 赤池情報量規準\n",
"## Akaike’s Information Criterion\n",
"\n",
"$$\n",
"A I C(M)=-2 \\times M L L(M)+2 \\times k\n",
"$$\n",
"\n",
"- M: モデル model\n",
"- MLL: 最大対数尤度 maximum log likelihood\n",
"- k: パラメータ数 number of parameters\n",
"\n",
"\n",
"```\n",
"AICが小さいモデルがいい\n",
"どうやって導出されたかについては次\n",
"```\n",
"\n",
"- https://lef-t.blogspot.com/2014/01/aicabc.html\n",
"- https://drive.google.com/file/d/1gaNlrHvk1S2ncgFlltkUs8Y4o2c6V5CB/view"
]
},
{
"metadata": {
"id": "PW0DcW9T4y6m",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"## Example\n",
"サイコロはフェアか ?\n",
"\n",
"\n",
"```\n",
"サイコロを振ると通常は 6 つの目は同じ確率では出ないだろう\n",
"同確率からどれくらいずれたら、「ずるいサイコロ」と思っていいか?\n",
"```"
]
},
{
"metadata": {
"id": "K35d8lDk5AnG",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"- $N$回振り、 $i$の目が $N_i$回出たとする $(i=1,\\cdots,6)$\n",
"- $q_i$で$i$の目が出る確率とする $(i=1,\\cdots,6)$\n",
"\n",
"\n",
"\n",
"任意の$i$に対して$q_i= 1/6$と仮定するときの対数尤度\n",
"\n",
"$$\n",
"\\sum_{i} \\log _{e} q_{i}=\\sum_{i} \\log _{e} 1 / 6=-N \\log _{e} 6\n",
"$$\n",
"\n",
"パラメータは明らかにない、ということで今回のAICは\n",
"\n",
"$$\n",
"A I C=-2\\left(-N \\log _{e} 6-0\\right)=2 N \\log _{e} 6\n",
"$$\n",
"\n"
]
},
{
"metadata": {
"id": "4gw2Ysu76IGQ",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"一方で$q_i=N_i/N$とするときの対数尤度(何で$N_i$がかけられている?と思った人は尤度を計算しよう)\n",
"\n",
"$$\n",
"\\begin{aligned} \\sum_{i} \\log _{e} q_{i} &=\\sum_{i=1}^{6} N_{i} \\log _{e} \\frac{N_{i}}{N} \\\\ &=\\sum_{i=1}^{6} N_{i} \\log _{e} N_{i}-\\sum_{i=1}^{6} N_{i} \\log _{e} N \\\\ &=\\sum_{i=1}^{6} N_{i} \\log _{e} N_{i}-N \\log _{e} N \\end{aligned}\n",
"$$\n",
"\n",
"kは自由パラメータなので6-1\n",
"\n",
"$$\n",
"\\begin{aligned} A I C &=-2\\left(\\sum_{i=1}^{6} N_{i} \\log _{e} N_{i}-N \\log _{e} N-5\\right) \\\\ &=-2 \\sum_{i=1}^{6} N_{i} \\log _{e} N_{i}+2 N \\log _{e} N+10 \\end{aligned}\n",
"$$"
]
},
{
"metadata": {
"id": "5bzE61_b891Q",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"### $N=10,(N_1,N_2,N_3,N_4,N_5,N_6)= (1,2,1,2,2,2)$\n",
"\n",
"確かに $1/6$ ずつでてはいないが、 $N = 10 $では\n",
"$1/6$ ずつ出ようが無いだろう。AIC で比べるとどうなる ?\n",
"\n",
"$q_i = N_i/N$の時\n",
"\n",
"$$\n",
"\\begin{aligned} A I C=&-2\\left(2 \\times 1 \\log _{e} 1+4 \\times 2 \\log _{e} 2\\right) \\\\+& 2 \\times 10 \\log _{e} 10+10 \\simeq 45.0 \\end{aligned}\n",
"$$\n",
"\n",
"$q_i = 1/6$の時\n",
"\n",
"$$\n",
"A I C=20 \\log _{e} 6=35.8351893845611\n",
"$$\n",
"\n",
"後者の方が AIC が小さいのでもっともらしい"
]
},
{
"metadata": {
"id": "_K_cQYT_9rAM",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"### $N=100, (N_1,N_2,N_3,N_4,N_5,N_6)= (10,20,10,20,20,20)$\n",
"\n",
"$q_i = N_i/N$の時\n",
"\n",
"$$\n",
"\\begin{aligned} A I C &=-2\\left(2 \\times 10 \\log _{e} 10+4 \\times 20 \\log _{e} 20\\right) \\\\ &+2 \\times 100 \\log _{e} 100+10 \\simeq 349.6 \\end{aligned}\n",
"$$\n",
"\n",
"\n",
"$q_i = 1/6$の時\n",
"\n",
"$$\n",
"A I C=200 \\log _{e} 6 \\simeq 358.4\n",
"$$\n",
"\n",
"この場合、前者の方が小さいのでクソサイコロ"
]
},
{
"metadata": {
"id": "IoOlCkWVAHj7",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"- import statsmodels.api as sm\n",
"\n",
"はAICとか計算してくれる"
]
},
{
"metadata": {
"id": "7RbKzlqQpivv",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
"import warnings\n",
"\n",
"warnings.filterwarnings(\"ignore\")"
],
"execution_count": 0,
"outputs": []
},
{
"metadata": {
"id": "QZ8Fff0wqS6B",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"上のやつはエラー消してくれるいい奴\n",
"\n",
"下のコードは回帰\n"
]
},
{
"metadata": {
"id": "QUbVbtr427do",
"colab_type": "code",
"outputId": "8c106c2f-d822-4e86-842d-3f31cf76c0d4",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 442
}
},
"cell_type": "code",
"source": [
"import statsmodels.api as sm\n",
"\n",
"mod = sm.OLS(y, sm.add_constant(x))\n",
"res = mod.fit()\n",
"print(res.summary())"
],
"execution_count": 26,
"outputs": [
{
"output_type": "stream",
"text": [
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: y R-squared: 0.665\n",
"Model: OLS Adj. R-squared: 0.623\n",
"Method: Least Squares F-statistic: 15.85\n",
"Date: Wed, 10 Apr 2019 Prob (F-statistic): 0.00405\n",
"Time: 00:29:32 Log-Likelihood: -12.752\n",
"No. Observations: 10 AIC: 29.50\n",
"Df Residuals: 8 BIC: 30.11\n",
"Df Model: 1 \n",
"Covariance Type: nonrobust \n",
"==============================================================================\n",
" coef std err t P>|t| [0.025 0.975]\n",
"------------------------------------------------------------------------------\n",
"const 2.9374 0.569 5.161 0.001 1.625 4.250\n",
"x1 1.2735 0.320 3.982 0.004 0.536 2.011\n",
"==============================================================================\n",
"Omnibus: 2.367 Durbin-Watson: 1.915\n",
"Prob(Omnibus): 0.306 Jarque-Bera (JB): 1.029\n",
"Skew: -0.782 Prob(JB): 0.598\n",
"Kurtosis: 2.850 Cond. No. 4.11\n",
"==============================================================================\n",
"\n",
"Warnings:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
],
"name": "stdout"
}
]
},
{
"metadata": {
"id": "yKOVENz9ADjX",
"colab_type": "code",
"outputId": "aa01c603-14b6-4476-ffdd-5dac2600be79",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 442
}
},
"cell_type": "code",
"source": [
"mod = sm.OLS(Y, sm.add_constant(X))\n",
"res = mod.fit()\n",
"print(res.summary())"
],
"execution_count": 27,
"outputs": [
{
"output_type": "stream",
"text": [
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: y R-squared: 0.750\n",
"Model: OLS Adj. R-squared: 0.719\n",
"Method: Least Squares F-statistic: 24.01\n",
"Date: Wed, 10 Apr 2019 Prob (F-statistic): 0.00119\n",
"Time: 00:29:38 Log-Likelihood: -13.074\n",
"No. Observations: 10 AIC: 30.15\n",
"Df Residuals: 8 BIC: 30.75\n",
"Df Model: 1 \n",
"Covariance Type: nonrobust \n",
"==============================================================================\n",
" coef std err t P>|t| [0.025 0.975]\n",
"------------------------------------------------------------------------------\n",
"const 2.4977 0.588 4.250 0.003 1.142 3.853\n",
"x1 1.6184 0.330 4.900 0.001 0.857 2.380\n",
"==============================================================================\n",
"Omnibus: 1.612 Durbin-Watson: 2.851\n",
"Prob(Omnibus): 0.447 Jarque-Bera (JB): 0.827\n",
"Skew: -0.679 Prob(JB): 0.661\n",
"Kurtosis: 2.625 Cond. No. 4.11\n",
"==============================================================================\n",
"\n",
"Warnings:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
],
"name": "stdout"
}
]
},
{
"metadata": {
"id": "yhKl7q6AtHaq",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
""
]
},
{
"metadata": {
"id": "1yDBhl4SAC_5",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"AICとBIC、両方の項目が小さいモデルを選ぼう"
]
},
{
"metadata": {
"id": "TiYtGymU_0Zu",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
""
],
"execution_count": 0,
"outputs": []
}
]
}
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