From cf224dfa631523a17941e17f69e66bdeda2451b5 Mon Sep 17 00:00:00 2001 From: Roger Labbe Date: Mon, 27 Jul 2015 21:50:03 -0700 Subject: [PATCH] More explicit wording to identify curves. I was saying 'blue curve' 'green curve', but those have no meaning, especially if printed in black and white. Switched to explicit $\sigma=0.2$. Also added second std in the chart showing the 68-95-99.7 rule. --- 03-Gaussians.ipynb | 67 +++++++++++++++++++++------------------ code/gaussian_internal.py | 25 +++++++++++++-- 2 files changed, 58 insertions(+), 34 deletions(-) diff --git a/03-Gaussians.ipynb b/03-Gaussians.ipynb index 5516594..7131f82 100644 --- a/03-Gaussians.ipynb +++ b/03-Gaussians.ipynb @@ -28,6 +28,7 @@ "@import url('http://fonts.googleapis.com/css?family=Source+Code+Pro');\n", "@import url('http://fonts.googleapis.com/css?family=Vollkorn');\n", "@import url('http://fonts.googleapis.com/css?family=Arimo');\n", + "@import url('http://fonts.googleapis.com/css?family=Fira_sans');\n", "\n", " div.cell{\n", " width: 900px;\n", @@ -118,9 +119,9 @@ " white-space: nowrap;\n", " }\n", " div.text_cell_render{\n", - " font-family: 'Arimo',verdana,arial,sans-serif;\n", + " font-family: 'Fira sans', verdana,arial,sans-serif;\n", " line-height: 125%;\n", - " font-size: 120%;\n", + " font-size: 115%;\n", " text-align:justify;\n", " text-justify:inter-word;\n", " }\n", @@ -455,7 +456,7 @@ "data": { "image/png": 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kZCJFi9VqY3D3FwkoHQRApj2DSQveI+nyBZOTiUhuqFyLyF+av/F79sZuN8YD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\nqKiowP79+zFlyhT89NNPytcF1JeUBAcHIyEhAUuWLIGvry8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4Gp3uMnv2bKxevRo//PADUlNTERkZCYVCgRkzZgAA5s2bh7CwMKH9pEmTYGxs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\nzDPPmOMrKyuFTqcT8+bNEwUFBSIrK0s4OjqKzZs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DhUKhED4+PiI9Pb3VY3700Udi3Lhx\nQqlUCkdHRxEaGirWrFkjrl27ZhGXl5cnoqOjhYuLi1AoFGLo0KFi0aJF4tSpUxZx+/btE8HBwUIu\nl4sRI0aI7OxsERcXZ7EEoxBCNDU1Ca1WK9auXWvRnpKSIqRSqSgtLbUYd3R0tFAqlSI3N/e+xmla\ngnHDhg1WY5dIJOJPf/qTRducOXNEWFhYq/8rIqJfE4kQ7Xw9n4iIetSkSZNw8+bNVqeY9DVpaWnY\nsWMH/vvf/8LW9v4+mO2OcRYXF2Pw4MHIzMxETExMlx2XiKg3cE46ERE9kFWrVqGhoQEff/xxb3cF\nALB582aMGjWKBToR9Quck05E1Mf8Wj7gVCgUKC4ufuD9u3qc6enpXXo8IqLexCvpRER9iEQigUQi\n6e1udLuBMk4iogfFOelERERERH0Mr6QTEREREfUxLNKJiIiIiPoYFulERERERH0Mi3QiIiIioj6G\nRToRERERUR/DIp2IiIiIqI/5P0XL29rfyysPAAAAAElFTkSuQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -904,7 +905,9 @@ " \"\"\"returns normal distribution for x given a \n", " gaussian with the specified mean and variance. \n", " \"\"\"\n", - " return np.exp((-0.5*(x-mean)**2)/var) / \\\n", + " return (np.exp((-0.5*(np.asarray(x)-mean)**2)/var) /\n", + " math.sqrt(2*math.pi*var))\n", + "\n", "```" ] }, @@ -927,7 +930,7 @@ "data": { "image/png": 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5YwEnomZNqVRi29E1uJZ4Xpgb2WsqenbyFzEVqZL+XUcg0PdlYXwp/iR2n/gZSqVSxFRE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\nGo0IDrZ+MSqVChUVtk/fV1RUIDIy0mqs8/iKigp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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -965,7 +968,7 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 16, "metadata": { "collapsed": false }, @@ -1053,9 +1056,9 @@ "outputs": [ { "data": { - "image/png": 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2bdrkUUwDBw50Lnfr1o3169e77Z80aRIDBw7k3nvv5eqrr/b8w/qRepPvBQsW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\niYmJbfb5+c9/zpUrVwx+YaWlpREZGcnJkyfx8vLqk4JLOkIItFotGo0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dd93VaqwgCMaLKX/44QcIgoC9e/di7969rcY5dfKdkpICjUaDVatWobS0FAkJCUhPTzd+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\nV1bXYo9q/23m7IhGVLB0g/by957kgXi55bB0g7bCfw8OwsXhOks3aFf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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1067,9 +1070,9 @@ "import matplotlib.pyplot as plt\n", " \n", "xs = np.arange(15, 30, 0.05)\n", - "plt.plot(xs, gaussian(xs, 23, 0.2), label='var=0.2')\n", - "plt.plot(xs, gaussian(xs, 23, 1), label='var=1')\n", - "plt.plot(xs, gaussian(xs, 23, 5), label='var=5')\n", + "plt.plot(xs, gaussian(xs, 23, 0.2), label='$\\sigma^2$=0.2')\n", + "plt.plot(xs, gaussian(xs, 23, 1), label='$\\sigma^2$=1', ls=':')\n", + "plt.plot(xs, gaussian(xs, 23, 5), label='$\\sigma^2$=5', ls='--')\n", "plt.legend();" ] }, @@ -1077,11 +1080,13 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "So what is this telling us? The blue gaussian is very narrow. It is saying that we believe $x=23$, and that we are very sure about that. In contrast, the red gaussian also believes that $x=23$, but we are much less sure about that. Our believe that $x=23$ is lower, and so our belief about the likely possible values for $x$ is spread out - we think it is quite likely that $x=20$ or $x=26$, for example. The blue gaussian has almost completely eliminated $22$ or $24$ as possible value - their probability is almost $0\\%$, whereas the red curve considers them nearly as likely as $23$.\n", + "So what is this telling us? The Gaussian with $\\sigma^2=0.2$ is very narrow. It is saying that we believe $x=23$, and that we are very sure about that. In contrast, the Gaussian with $\\sigma^2=5$ also believes that $x=23$, but we are much less sure about that. Our believe that $x=23$ is lower, and so our belief about the likely possible values for $x$ is spread out - we think it is quite likely that $x=20$ or $x=26$, for example. $\\sigma^2=0.2$ has almost completely eliminated $22$ or $24$ as possible value - their probability is almost $0\\%$, whereas $\\sigma^2=5$ considers them nearly as likely as $23$.\n", "\n", - "If we think back to the thermometer, we can consider these three curves as representing the readings from three different thermometers. The blue curve represents a very accurate thermometer, and the black one represents a fairly inaccurate one. Green of course represents one in between the two others. Note the very powerful property the Gaussian distribution affords us - we can entirely represent both the reading and the error of a thermometer with only two numbers - the mean and the variance.\n", + "If we think back to the thermometer, we can consider these three curves as representing the readings from three different thermometers. The curve for $\\sigma^2=0.2$ represents a very accurate thermometer, and curve for $\\sigma^2=5$ represents a fairly inaccurate one. Note the very powerful property the Gaussian distribution affords us - we can entirely represent both the reading and the error of a thermometer with only two numbers - the mean and the variance.\n", "\n", - "It is worth spending a few words on standard deviation now. The standard deviation is a measure of how much variation from the mean exists. For Gaussian distributions, 68% of all the data falls within one standard deviation ($1\\sigma$) of the mean, 95% falls within two standard deviations ($2\\sigma$), and 99.7% within three ($3\\sigma$). This is often called the 68-95-99.7 rule. So if you were told that the average test score in a class was 71 with a standard deviation of 9.4, you could conclude that 95% of the students received a score between 52.2 and 89.8 if the distribution is normal (that is calculated with $71 \\pm (2 * 9.4)$). " + "It is worth spending a few words on standard deviation now. The standard deviation is a measure of how much variation from the mean exists. For Gaussian distributions, 68% of all the data falls within one standard deviation ($1\\sigma$) of the mean, 95% falls within two standard deviations ($2\\sigma$), and 99.7% within three ($3\\sigma$). This is often called the 68-95-99.7 rule. So if you were told that the average test score in a class was 71 with a standard deviation of 9.4, you could conclude that 95% of the students received a score between 52.2 and 89.8 if the distribution is normal (that is calculated with $71 \\pm (2 * 9.4)$). \n", + "\n", + "Finally, these are not arbitrary numbers. If the Gaussian for our position is $\\mu=22$ meters, then the standard deviation also has units meters. Thus $\\sigma=0.2$ implies that 68% of the measurements range from 21.8 to 22.2 meters. Variance is the standard deviation squared, so $\\sigma^2 = .04$ meters$^2$." ] }, { @@ -1100,9 +1105,9 @@ "outputs": [ { "data": { - "image/png": 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IkOq5pNu1a4eoqCgUFBQgKioK5eXlCAgIQGRkJPbv3485c+Y0+Ouiu7Mws8RL\no95Hn3YjxNqlq4lY+Oe7uJSdeI+PJKL7YfglekT5xTlYtGZOrRtSmnm0xtsTF9RavYnocSUnJ2PZ\nsmUICAjAzp078eabb2L27Nm1AvDnn3+OoKAgeHt7Q61Wo2/fvliwYAGGDRsGAHjiiSfwzDPPoFOn\nTpg6dSpWrlwJS0tLvPLKK/j++++xfPlyBAUFITQ0FEePHpXqpdJNFHIFwvq8iPH9XoFcVn26LizJ\nwzdr3sOxC3sl7o6o8ZIJd1lQvLCwUHxsZ8c71IlulphxHiu2LEBx+Y3jpGvQAEzoP028W9tQyf57\nYyll4T93PPypAdy8ovWdfwrfoFar0blzZxw6dEisvf/++wgPD8eFC9XTYb399tvYtGkTvv76a/j4\n+CAiIgKzZ8/G2rVrMXjwnYffzJ8/HxkZGXj11VcxaNAgxMTE4MyZM5g6dSpSUlKgVBr3bSGN6ViI\nS4vGim1foFxTKtZ6hwzH2F4vQKEw7v8nood1vwzLI4boIQiCgAMxWxB+cAX0eh0AQC5X4Mne/0Cv\ntkMhuznRENURd3d3BAUF1aoFBgbi0qXqG6JKS0uxaNEihIeHY/jw4QCA4OBgREdHY+HChXcMvwkJ\nCfjpp58QHR2NFStWoE+fPnBxccGgQYOg0WgQHx+P1q1b1/+LowcS6NMO70xaiB83fyreCHcgZgsy\nclPxwtB3YWvVROIOiRoPDnsgekCVWg1W7VqMdRE/isHXxsIO05/8GL1DhjH4Ur3p0aMH4uLiatUS\nEhLg6+sLoPqXMkEQIJfX/pEul8txpzf3BEHAyy+/jC+//BI2NjYQBAGVlZXitqqqKuh0uvp5MfTI\nnJq4YdaEz9Eu4MaSyEkZ57Hwj7eRlnVRws6IGheGX6IHcK3o9vG93i7N8c5TCxHgwatjVL/eeust\nREZG4pNPPkFiYiLWrFmDJUuW4PXXXwcAWFtbY8CAAZg9ezYiIiKQkpKCn3/+Gb/++ivGjh172+db\nvnw5HBwcMGbMGABAz549sXfvXhw+fBjLli2DWq1Gy5YtG/Q10oMxU1vghWHvYmT3KeKKcNcX1jl2\nYY/E3RE1DhzzS3Qf51Oi8NvORSitKBZrXVr1x4T+06BSqiXs7NE0pnGOxuxhxvwCwNatWzFnzhzE\nx8fDx8cH06dPx/Tp08XtOTk5eO+997Bjxw7k5eXB19cXL774ImbNmlXr82RnZ6Nr1644cuQI3Nxu\nLLX92WcaGfWKAAAUi0lEQVSf4auvvoKtrS2WLVuGJ5544rFfo6Fr7MfChdRT+GX7l7XGAXdtPRDj\n+r4EtZLzAZPpul+GZfglugudXoctR1Zh98n1Ys0Yxvc29hO+sXjY8Et1zxiOhZyCzFrjgAHA3cEH\nLwx7l7POkMm6X4blsAeiO8gvzsWSdR/UCr521g6Y8eRc0xjfq+dSqmQEBMHov5evjwMObdlHrF3J\nS8MXf7yDqLgICTsjMlwMv0S3uJB6CgtWz0LylVixFujTHv986is08wi6x0cagYQE4L33gC1bpO6E\n6PEVFAD//Cfw+++AEd/AZ6a2wJTBMzFpwGviVIuVVRVYueNr/LFnqbjyJBFV47AHoho6vQ7bIldj\n54m1Yk0mk2N416cwsFOYOMl8Y3fHt3oTEoAVKwBvb+CFFwBzc4m6Mx0c9tCAjh8H/vwT6NgRmDgR\nUCgAGMewh1tl5KTgp61fIKfgilhzd/TF1GHvwrmph4SdETUcjvklegC5hVn4dcc3SMm8MZ2UrVVT\nPD/0HaObzaHWCX9sDPDJJ4CzMzB4MKBufDfwNVaDbrqfbNdO6fowKXFxQEQE0KUL8O67Rhl+AaCi\nshx/7FmGUwkHxZpaZY6w3v9A19YDjX/YFpk8LnJBdA+CIODYhb1YF/E/aKoqxHpL7xA8O/gt2Fga\n+cTxZmY3rvKq1YClpbT9mJCym5/wn73hKBSAjY3UXdQrc7UFnhsyC809g7Eu4kdodVWorKrA6j1L\ncT41CpMGvA5rC1up2ySSDK/8kskqLS/CH3uWISYpUqzJ5QoM7TIJg4xomMOt7ni1Ky0N+N//AAcH\n4KWXAGtribozHRz20ID27wf+/hvo2xcYNUr8xzfWK783S89Jxi/bvkJ2frpYs7VsismDZiDIt4OE\nnRHVHw57ILqD2LTTWLVrMYpK88WacxN3TBn8Fnxcm0vYWf275wn/egju1AkYPbqBOzMtDL8NID8f\nmDsX6NOnVui9zhTCLwBUVmnw96FfcPDM1lr13iHDMKrHc1CrOCcwGReGX6KbVGo12HT4V0REb65V\n79FmCMb0eh5mKuO/0euBTviCcFtQoLrF8NtA7vG9bCrh97rzKVH4ffe3KC4rEGsuTT3x7JC34OXc\nTMLOiOoWwy9RjcSM81i961vkFGaKNWsLO0weOB3B/p0k7KxhmdoJ31Ax/ErPFI+F4rJC/LFnKc4m\nHxdrcpkcA0OfxODOExrlqpVEt+INb2TyKirLsfHwShw6s61WvbVfKJ4aMB22VkZ+UxsRUQ0bSzu8\nOOI9HD2/G+sjfkSlVgO9oMfOE2sRkxiJyYOmw88tUOo2ieoVwy8ZtQupp/DnnmXIL8kVa+ZqS4zp\n9Ty6tR7EKX+IyOTIZDJ0Dx6E5p7B+H3XEiRduQAAyM5Pxzd/vYfe7YZjRPdnTGIYGJkmhl8ySqUV\nxQg/8BOOx+6rVW/tF4oJ/aahqY2jRJ0RERkGpyZumDFuHg6f2Y6Nh1dCU1UBAQIiojfjbPJxPDXg\ndbT0DpG6TaI6x/BLRkUQBJyMP4Dwgytq3dRhZW6DsD4vomPL3rzaS0RUQy6To1fIMLT2C8Ufe/8P\ncWmnAQDXiq5iafh/0KVVf4zq+azxz3lOJoXhl4xGZt4lrNn3PRIzzteqd2jRE2F9XuQPbyKiu7C3\ndcaroz/E8dh9CD/wE8o0JQCAY7F7cSb5GEZ0fwY9gp+AXK6QuFOix8fwS41euaYM24/9gYjozdAL\nerFua9UUE/pNQ9tmXSTsjoiocZDJZOgS1B+tfNpjzf4fEJN4FABQrinFmn3f4+j5XZjQbxp8XVtI\n3CnR4+FUZ9RoCYKAUwkHEX5wRa3FKuQyOfq2H4nBnSfCwozrxt7KFKd3MkSc6kx6PBbu7XxKFNZF\n/Ijcwqxa9a6tB2Jk9ymwsWQ2IMPEqc7IKF2+mozwgz8hMf1crXqAR2uM6/sy3B19JOqMiMg4tPYL\nRQuvtthzMhy7TqxDla4SABB5fjfOJEZiaNdJ6NFmMJQKlcSdEj0cXvmlRuVaUQ42H/0NUXERteq2\nlk0xptfzvKHtAfBql2HglV/p8Vh4cHmF2Vh3YDnO3bQ4BgA42blhZI8pCAnoxp+9ZDC4whsZhTJN\nCXadWIeI6M3Q6qrEulwmR+92IzC0yyQOcXhAPOEbBoZf6fFYeHjnkk9g3YEfkVeYXavu5xaI0T2f\nh787F8gg6XHYAzVqWl0VDp3Zjh3H/0JpRXGtbcH+nTGqxxS42ntJ1B0RkWkJ9u+Elt4hOBCzFTtP\nrEG5phQAkJIZh2/WzEZIQDeM7D4Fzk3dJe6U6O4Yfskg6XRanIiLwI7jfyGvqPYVBm+X5hjd8zk0\n9wyWqDsiItOlUqoxoOMYdA3qjx0n1uJgzFbo9FoAQEziUZxNPo6uQQPwRKdxsLd1lrhbottx2AMZ\nFJ1ehxOx+7HjxF+3va1mb+uMkd2noH2LHpDL5BJ12PjxrV7DwGEP0uOxUDdyC7Ow+chvOJVwqFZd\nIVeia9AADOoUxhBMDYpjfqlR0Ol1iIrbjx3H19w2rY6lmTWe6DwevdoOg0rJu4ofF0/4hoHhV3o8\nFupWWlYCNhz6BUm3LDR0IwSPg72tk0TdkSlh+CWDVqWtwsn4A9h54s6ht1+H0egdMpw3s9UhnvAN\nA8Ov9Hgs1D1BEJBw+Qy2HfsDyVdia227HoL7dxwDpyZuEnVIpoA3vJFBKq0oxuGzO3AgeguKyvJr\nbWPoJSJqnGQyGVp6h6CFV9vbQrBOr8Xhcztw5PwutG3WBf07jIGfW0uJOyZTxPBLDSq3MAv7T29C\n5PndqNRqam1j6CUiMg73CsGCoEdM4lHEJB6Fv1sr9OswGm38O0EuV0jcNZkKhl+qd4IgICUzHvuj\nNyImMRKCoK+13c7KHr3bjUDPNkMYeomIjMjNIfhi+lnsObkBsWmnxO3JmbFI3hILJzs39G0/Ep1a\n9YO52kLCjskUcMwv1ZtyTRmi4vbj8NkduJKXdtt2d0df9O8wGh1a9OTymA2I4xwNA8f8So/HgjSu\n5KZi36mNiIo/IE6Rdp2ZyhyhgX3Rs81geDj5SdQhNXa84Y0a3OWryTh8djui4g+gsqritu2B3u3Q\nv8MYtPQO4XKYEuAJ3zAw/EqPx4K0CkuuISJmCw6f3S4ulnEzX7eW6NlmCNo17w610kyCDqmxYvil\nBlFWUYLoxCM4em4X0rIv3rZdrTRDhxY90afdSHg4+TZ8gyTiCd8wMPxKj8eCYdBUliPywh4cOrsd\n2dfSb9tuaWaNzq36oVOrfvB08uNFE7ovhl+qN1pdFS6knsKJuP04l3ICOp32tn3cHLzRo81ghAb2\ngaWZtQRd0q14wjcMDL/S47FgWARBQNKVCzh0ZjtiEo/eNiQCqD6nhAb2RWjLXmhqwzmD6c4YfqlO\nCYKA1KwEnIjbj9MJh1BaUXzbPgqFEu0DeqBHm8Hwd2/F39INDE/4hoHhV3o8FgxXcVkBIi/sxZGz\nO25b4h4AZJAhwDMYnQL7IiSgG2+WploYfumx6fU6pGTGV09NkxSJ/OKcO+7n5dwMoYF9ENqyD2ws\n+T1jqHjCNwwMv9LjsWD49IIe8ZdicCJuP84kRt42RSYAKBUqtPQOQUizbmjj3wlWFrYSdEqGhItc\n0CPR6bRISD+LM4mROJN8DMVlBXfcr6mNEzoF9kFoYB+42ns1cJdERGTM5DI5Wvm0Ryuf9tD0K0dM\nUiROxO1HwuWz4rSZWl0VzqdE4XxKFOQyOQI8gxHSrCvaBnSFnZW9xK+ADBGv/JKoqDQfsWmnEJt2\nGrFpp+949y1QffNB24Cu6BTYF808giCXyRu4U3ocvNplGHjlV3o8FhqvwpJrOJlwACfiIpCRk3LH\nfWSQwdslAK18OyDItyO8nZtxIQ0TwWEPdFc6nRapWfG4kHoKF9JO3fUHCADYWDZB22ZdEdKsK5p7\nBkOh4JsGjRVP+IaB4Vd6PBaMQ25hFmISIxGTdBSpmfF33c/K3AaBNVeRW/m0h41lkwbskhoSwy+J\ndHodMnJScDH9HBLTzyHpygVUVJbddf+mNk4IadYVIQHd4OfWkr8xGwme8A0Dw6/0eCwYn4KSPJxJ\nOoYziUdxMeP8bSuK3szD0RcBnsFo7hmMZh6tYWVu04CdUn1i+DVhWl0V0nNSkJRxHhdrwq6msvyu\n+8vlCvi7t0Irnw4I8ukAd0cfztRghHjCNwwMv9LjsWDcSiuKEX8pBhdSTyI27fRd710BqodIuDn6\noLlnMAI8guHnFghbK14Zbqx4w5uJEAQB14quIjUrAalZ8UjLuojLOUl3nHv3Zk2sHRDk2wGtfDqi\nhVdbThdDRERGwcrcBh1a9ESHFj2hF/TIyElFbOpJXEg7hdTMeOhvuiosQMCV3FRcyU1FRPRmAIC9\nrTN8XVvAx7UFfF1bwNPJHyqlWqqXQ3WI4bcR0gt6XCu6ivSrycjITUF6TgouZV1EcXnhfT/WztoB\nzT2CEeDZGgEewXBq4saru0REZNTkMjm8nP3h5eyPJzqPR7mmDCmZsUhMP4+LGedwOTuxVhgGgGtF\nV3Gt6CpOJRwCACjkSng4+cHLyR8eTn7wdPaHu4MP1CouvdzYMPwauNKKYmRfS0fWtXRcyU1FRk4K\nMnJT7zlW92aOdq7wdWtZE3iD4WjnyrBLREQmzcLMEkG+HRHk2xEAUFFZjpTMOFxMP4fkjAu4fDUJ\nVbrKWh+j02txKfsiLmVfFGsymRzOTdzh4eQHDyc/uNp7wtXeCw62zrxPxoAx/BoAnU6La8U5yCvM\nxtWCK8i6drkm8F6+5xilW5mrLeHj2hy+ri3g69oS3i7NudgEERHRfZirLcRZIIDq83JGbipSsxKQ\nlpWA1KwE5BRcue3jBEGP7Px0ZOen41TCQbGuVKjg3NQDrvZecLH3hKu9JxztXOFg5wJLM+sGe110\nZwy/DUAQBJRVFCO3MBt5RdnILcxCXmE28gqzkFuUjfzi3HvekXonVuY28Kx568XDyQ+eTv5wsffg\nnLtERESPSaFQwtslAN4uAUDIMABAaXkRLl1Nqn4HNicF6bkpuJp/5Y7nb62uShxDfCtLM2s42LnA\nwc4FjrbVgdjRzhWOdq5oYuMIBa8Y1zuG38ek02lRVJaPwtJ8FJbkoaAkD4Ul11BYeq36ec3fmqqK\nR/r8KoUazvYecG3qCVcHb3jWhF07K3sOXyAiImogVha2ta4OA0BllQaZeWlIz0nBldw0ZF+7jKxr\n6Sgqy7/r5ynTlKDsagkuX026bZtcJoetVVPYWdnDztoBTaztYWflADtre9hZ2aOJtQNsrex5c/pj\nYvi9hVZXhbKKEpSUF6KkvLjm7yKUlhehpLwIJeWF4uPi8kKUlBVCwONNkSODDHbW9nCo+c3v+pgh\nF3tP2Ns4cdwQERGRAVKrzOBTMyPEzcoqSpCdn46svMvIzk/H1fwr4ju/VdrKu3y26hvaC2oupOGm\nscW3MlOZw9ayKawsbWFtbgtrC1tYW9jByuL649o1M5U5L5jdxCjCr06nhUZbgcoqDSqrKqCpqqj5\nWyM+rqyqQHllGSo0ZSjXlKK8shRlmtIbz2tq9/qmfBxqpZk43qc65LrUPHeFvY0Tp08hIiIyEpbm\n1vBzC4SfW2CtuiAIKC4rQG5h1o0hkDWhOLcwC0Wld79ifDNNVQVyCjORU5j5QPvLZHJYqC1hYWZ1\n0x9LWKirH5ubVW8zU1nATGUGtcocZirzm/42g1ppDjO1OVQKdaMP0g8UfjVVFdDrddDrddDp9dAL\n1x/roBf00Om0NTV9dU2vu+NznV4Pra7qlj9aaLWVtZ5X6Wo/1+qqavapflylrRRDrkZbcd+5bOuT\nDDJYW9rVvEVhjyZWDrC1tkeTmrcsqt+msIeluU2j/2YhIiKiRyeTyWBr1RS2Vk3h797qtu1V2sqa\nYZPVwyerh1Lm3RhaWVo9tFKrq3qorysI+urhFpqSOngNcqiVapipLKpDscocSoUKSoUSSoUKKoVa\nfKxUqKBU3vJcoYJKqar1XKlQQSFXQC5XVP8tu/5YDrlcWbNNDrlMAYVCCblMXnt/uQJKuRJmaosH\neg0PFH7fXTbpsf6hGhO5TA4Lc+vqtwtq3kqwqnnr4Mbj689tYGvZFAqFUVxAJyIiIgmplGrx5re7\nEQQBZZoSlJQVikMzr/+5eYhmSUURSsuKUFpRjEqtps56FAR99cXHR7yXqb54OPnhX5O/fqB9H2h5\nYyIiIiKixuZOyxtzXiwiIiIiMhkMv0RERERkMu467IGIiIiIyNjwyi8RERERmQyGXyIiIiIyGQy/\nRERERGQyGH6JiIiIyGQw/BIRNbB58+bhp59+Ep9PnjwZkZGREnZERGQ6GH6JiBpYeHg4OnbsCADQ\narXYtm0bgoODJe6KiMg0MPwSmbiFCxciJCQENjY2sLa2RqtWrfD0009L3ZbRys/PR0ZGBkJCQgAA\nJ06cQGBgIKytrSXuzLTw+57IdCmlboCIpPPOO+/A09MTMTExyMrKQkhICM6ePQulkj8a6ktERAT6\n9OkjPt+/fz8GDBiAvLw8ODg4SNiZ6eD3PZFp45FOZIS+/fZbJCUl3XV7aGgoQkJCcPLkSSxcuBAA\n4OrqCkEQkJ+fDycnp4Zq1eTs3bsXfn5+AACdTof169dj3rx5WL16NaZPny5xd8bv3Llz/L4nMnEM\nv0RG6EFC1MKFCzF8+HDxeXx8PBwdHRkA6tm+ffsQFBSEX3/9FRqNBhMnTsShQ4fEMcBUv7Zv387v\neyITx/BLZKKcnJxQXFwsPv/444+xePFiCTsyfjk5OSguLsaff/4pdSsmi9/3RCQTBEGQugkiang6\nnQ4ff/wx/Pz8kJKSgt69e2PAgAFSt2XU/vrrL2zevBkrV66UuhWTxe97ImL4JSJqIB9++CGCg4Mx\nYcIEqVshIjJZDL9EREREZDI4zy8RERERmQyGXyIiIiIyGQy/RERERGQyGH6JiIiIyGQw/BIRERGR\nyWD4JSIiIiKTwfBLRERERCaD4ZeIiIiITMb/A8mrmvKxtnmEAAAAAElFTkSuQmCC\n", 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EIkKaGrUZSz/l5w2zTOxKROoShV8ROaeDR/ZVWWnLzcWd+28cz5UtupvcmTgjHy9/xtzy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\nc+fOrFq1yqy7Kqd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ORZjv1B6H2nSo2nGq4AhOFRyBl5M/poXOQ5hvjF5uDiUi0hWGbSKiOxAEAYVXcnE05zsU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\n3oeDjaum/WZzNTZ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BljbTX/pIZO3YsBMREdGw0xv0+GJfrnh8520/hedYr2H9zBmq2zDVfyaA3rv7n5W9O6yf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\n++67T0hMTDQae/zxx4X77rtPEATW0la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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1449,9 +1454,9 @@ "outputs": [ { "data": { - "image/png": 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CDO2LhO+KonNTu+SDpc9LLhb9g5a2ZqxL+Y54jfQ3aRqMO11UniuyOhzKTcWK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Pzxx1i7di0iIiKQkpICgMYKISYmJgalpaX48ssvw2I+CagyHhERgaqqKrz//vui7X/961/Rv3//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\nBEGEiP8DjzL/eqygMEwAAAAASUVORK5CYII=\n", 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SYVx+Xz6bJLrzq2+qwdMLb/ctLyWKb9obYdzpdOLZ/90t/tZb7ZSWsHBtPFb/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2xgYoO1MQnve+fk6rf3ozFef2ZbVk/em04Rj8Xl+p+xthZZjz+/eW5/x+v+7Z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G7+2WbZqn2RzGSg8A/hWY4GpXY6yVHOt3LreMU9QTxJ7MbYaB2eyLaj1dKSgs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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1594,7 +1599,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.4.1" + "version": "3.4.3" } }, "nbformat": 4, diff --git a/code/gaussian_internal.py b/code/gaussian_internal.py index 68ba402..77a5c25 100644 --- a/code/gaussian_internal.py +++ b/code/gaussian_internal.py @@ -48,23 +48,42 @@ def plot_gaussian (mu, variance, def display_stddev_plot(): xs = np.arange(10,30,0.1) - var = 8; stddev = math.sqrt(var) + var = 8; + stddev = math.sqrt(var) p2, = plt.plot (xs,[stats.gaussian(x, 20, var) for x in xs]) x = 20+stddev + # 1std vertical lines y = stats.gaussian(x, 20, var) plt.plot ([x,x], [0,y],'g') plt.plot ([20-stddev, 20-stddev], [0,y], 'g') + + #2std vertical lines + x = 20+2*stddev + y = stats.gaussian(x, 20, var) + plt.plot ([x,x], [0,y],'g') + plt.plot ([20-2*stddev, 20-2*stddev], [0,y], 'g') + y = stats.gaussian(20,20,var) plt.plot ([20,20],[0,y],'b') + + x = 20+stddev ax = plt.axes() ax.annotate('68%', xy=(20.3, 0.045)) ax.annotate('', xy=(20-stddev,0.04), xytext=(x,0.04), arrowprops=dict(arrowstyle="<->", ec="r", shrinkA=2, shrinkB=2)) - ax.xaxis.set_ticks ([20-stddev, 20, 20+stddev]) - ax.xaxis.set_ticklabels(['$-\sigma$','$\mu$','$\sigma$']) + ax.annotate('95%', xy=(20.3, 0.02)) + ax.annotate('', xy=(20-2*stddev,0.015), xytext=(20+2*stddev,0.015), + arrowprops=dict(arrowstyle="<->", + ec="r", + shrinkA=2, shrinkB=2)) + + + ax.xaxis.set_ticks ([20-2*stddev, 20-stddev, 20, 20+stddev, 20+2*stddev]) + ax.xaxis.set_ticklabels(['$-2\sigma$', '$-1\sigma$','$\mu$','$1\sigma$', '$2\sigma$']) ax.yaxis.set_ticks([]) + ax.grid(None, 'both', lw=0) plt.show() if __name__ == '__main__':