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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"id": "6a56054a", | |
"metadata": {}, | |
"source": [ | |
"# Correlation and clustering with Pandas\n", | |
"\n", | |
"By [Allison Parrish](https://www.decontextualize.com/)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"id": "1e17378d", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"%matplotlib inline\n", | |
"import pandas as pd\n", | |
"import numpy as np\n", | |
"import matplotlib.pyplot as plt\n", | |
"plt.style.use('ggplot')\n", | |
"plt.rcParams[\"figure.figsize\"] = (10, 4)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "c6b37550", | |
"metadata": {}, | |
"source": [ | |
"But first, a little digression!\n", | |
"\n", | |
"## Making up data\n", | |
"\n", | |
"Sometimes it's useful to be able to make up some fake \"toy\" data, as a way of testing out different visualization techniques or statistical calculations that we're interested in. Finding the \"perfect\" dataset for experimenting with something can be kind of a drag. You could just type in a bunch of numbers, but why go to all that effort? That's what we have computers for, after all.\n", | |
"\n", | |
"### Lines\n", | |
"\n", | |
"So I'm going to show you a handful of functions in the `numpy` library (which we imported above) that make it easy to make up fake data. The first is `np.linspace()`, which generates an array of numbers across a range, evenly spaced. The first parameter is the beginning of the range, the second parameter is the end of the range (inclusive), and the final number is how many numbers to generate. For example, the following generates an array of numbers starting at 10, ending at 50, with 17 evenly-spaced elements:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"id": "1383786f", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"array([10. , 12.5, 15. , 17.5, 20. , 22.5, 25. , 27.5, 30. , 32.5, 35. ,\n", | |
" 37.5, 40. , 42.5, 45. , 47.5, 50. ])" | |
] | |
}, | |
"execution_count": 2, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"np.linspace(10, 50, 17)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "94cc5673", | |
"metadata": {}, | |
"source": [ | |
"We can easily turn this into a Pandas series and draw a graph to see what it looks like:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"id": "3d126a0e", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<Axes: >" | |
] | |
}, | |
"execution_count": 3, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 1000x400 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"pd.Series(np.linspace(10, 50, 17)).plot.bar()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "969e7859", | |
"metadata": {}, | |
"source": [ | |
"### Noise\n", | |
"\n", | |
"Another helpful function is `np.random.uniform()`, which generates a sequence of random numbers (drawn from a uniform distribution). The first parameter to this function is the bottom of the range of random numbers, and the second is the top of the range. The `size` parameter specifies how many numbers we want. For example, the following cell gives us twenty-five random numbers between -10 and 10:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"id": "f4df7b8f", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"array([-5.90736281, -9.71567398, 9.15083346, -5.62880999, 7.62551047,\n", | |
" 2.3064266 , 1.94754784, 1.88023417, 0.69939609, -0.68291035,\n", | |
" -1.65675312, -6.82421261, 8.39791431, 5.89168559, 6.46876198,\n", | |
" 8.71838307, -0.45231008, 9.92317873, 3.32899491, -0.68545617,\n", | |
" 5.39297569, 5.91665654, 3.17238783, 3.64167337, -7.13028274])" | |
] | |
}, | |
"execution_count": 4, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"np.random.uniform(-10, 10, size=25)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "16562f5d", | |
"metadata": {}, | |
"source": [ | |
"Plotted as a Pandas series:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"id": "c2679fdc", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<Axes: >" | |
] | |
}, | |
"execution_count": 5, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 1000x400 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"pd.Series(np.random.uniform(-10, 10, size=25)).plot()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "282d9cbc", | |
"metadata": {}, | |
"source": [ | |
"Both `linspace` and `random` return `numpy` arrays, which you can use in mathematical expressions. In particular, adding two numpy arrays together results in the element-wise sum of the two arrays (but note that the arrays need to have the same length). Using this property, we can generate a sequence of numbers with `np.linspace()` and add a bit of \"noise\" to it with `np.random.uniform()`:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"id": "c156b46f", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<Axes: >" | |
] | |
}, | |
"execution_count": 6, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 1000x400 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"noisy_line = np.linspace(0, 100, 25) + np.random.uniform(-5, 5, size=25)\n", | |
"pd.Series(noisy_line).plot()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "7cf6e7ea", | |
"metadata": {}, | |
"source": [ | |
"(Larger numbers in `np.random.uniform()` will increase the amount of \"noise.\")\n", | |
"\n", | |
"### Periodic\n", | |
"\n", | |
"We can create data that looks like it has repeating patterns with `np.sin()`. This function takes the sine of each value in the array that you pass as a parameter. Remember from your trigonometry class that $sin(0)$ is 0; $sin(\\frac{\\pi}{2})$ is 1; $sin(\\pi)$ is 0 again; $sin(\\frac{3}{2}\\pi)$ is -1, and $sin(2\\pi)$ is zero again, and those points are connected with a pleasant curvy line. Calling `np.sin()` on the value returned from `np.linspace()` generates a repeating pattern of peaks and valleys.\n", | |
"\n", | |
"For example, the following is one \"cycle\" of $sin()$. Note how it starts at zero, gradually increases to 1, gets smaller again, goes to -1, then back to zero:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"id": "b733c25d", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"array([ 0.00000000e+00, 1.27877162e-01, 2.53654584e-01, 3.75267005e-01,\n", | |
" 4.90717552e-01, 5.98110530e-01, 6.95682551e-01, 7.81831482e-01,\n", | |
" 8.55142763e-01, 9.14412623e-01, 9.58667853e-01, 9.87181783e-01,\n", | |
" 9.99486216e-01, 9.95379113e-01, 9.74927912e-01, 9.38468422e-01,\n", | |
" 8.86599306e-01, 8.20172255e-01, 7.40277997e-01, 6.48228395e-01,\n", | |
" 5.45534901e-01, 4.33883739e-01, 3.15108218e-01, 1.91158629e-01,\n", | |
" 6.40702200e-02, -6.40702200e-02, -1.91158629e-01, -3.15108218e-01,\n", | |
" -4.33883739e-01, -5.45534901e-01, -6.48228395e-01, -7.40277997e-01,\n", | |
" -8.20172255e-01, -8.86599306e-01, -9.38468422e-01, -9.74927912e-01,\n", | |
" -9.95379113e-01, -9.99486216e-01, -9.87181783e-01, -9.58667853e-01,\n", | |
" -9.14412623e-01, -8.55142763e-01, -7.81831482e-01, -6.95682551e-01,\n", | |
" -5.98110530e-01, -4.90717552e-01, -3.75267005e-01, -2.53654584e-01,\n", | |
" -1.27877162e-01, -2.44929360e-16])" | |
] | |
}, | |
"execution_count": 7, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"np.sin(np.linspace(0, np.pi * 2, 50))" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "5cc98b29", | |
"metadata": {}, | |
"source": [ | |
"Plotted:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"id": "73920da8", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<Axes: >" | |
] | |
}, | |
"execution_count": 8, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 1000x400 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"pd.Series(np.sin(np.linspace(0, np.pi * 2, 50))).plot()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "5d4d6460", | |
"metadata": {}, | |
"source": [ | |
"You can make multiple cycles by increasing the numbers passed to `np.linspace()` and increase the heights and depths of the peaks and valleys by multiplying the result of `np.sin()`:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 9, | |
"id": "6c837515", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<Axes: >" | |
] | |
}, | |
"execution_count": 9, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 1000x400 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"pd.Series(np.sin(np.linspace(0, 20, 100))*3).plot()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "13ce3db7", | |
"metadata": {}, | |
"source": [ | |
"Putting this all together: we can create a line that has a repeating wavy pattern with a bit of noise:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 10, | |
"id": "8f381074", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<Axes: >" | |
] | |
}, | |
"execution_count": 10, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 1000x400 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"pd.Series(\n", | |
" np.linspace(-100, 100, 50) + (np.sin(np.linspace(0, 20, 50)) * 20) + np.random.uniform(-5, 5, size=50)\n", | |
").plot()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "1e7d10da", | |
"metadata": {}, | |
"source": [ | |
"## Correlation: a toy scenario\n", | |
"\n", | |
"Two variables (i.e., columns in a dataset) are considered to be \"correlated\" if there is a linear relationship between them. If the value in column `a` of the table tend to be higher as the values in column `b` get higher, then the two columns are correlated. If the values in one column tend to go *lower* as values in the other column go higher, then the values are said to be *negatively correlated* (or inversely correlated).\n", | |
"\n", | |
"I'm going to demonstrate some correlations, first with toy data, and then with some actual data.\n", | |
"\n", | |
"Here's the toy data. I'm making a data frame with four columns, each of which is populated with synthetic data." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 11, | |
"id": "d22ecf1c", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"df = pd.DataFrame(\n", | |
" {\n", | |
" \"widgets\": np.linspace(1, 100, 50),\n", | |
" \"florpiness\": np.linspace(10, 75, 50) + np.sin(np.linspace(0, 40, 50)) * 5,\n", | |
" \"glormp_count\": np.linspace(200, 125, 50) + np.random.uniform(-10, 10, 50),\n", | |
" \"beep_value\": np.random.uniform(0, 25, size=50)\n", | |
" }\n", | |
")" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "437cb95f", | |
"metadata": {}, | |
"source": [ | |
"Here's a little preview of the data frame, showing what the data look like. The `widgets` column increases linearly; the `florpiness` column has a bit of a wavy pattern, but also increases linearly; `glormp_count` is a noisy decreasing line; and `beep_value` is a uniformly distributed random number." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 12, | |
"id": "61335a64", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/html": [ | |
"<div>\n", | |
"<style scoped>\n", | |
" .dataframe tbody tr th:only-of-type {\n", | |
" vertical-align: middle;\n", | |
" }\n", | |
"\n", | |
" .dataframe tbody tr th {\n", | |
" vertical-align: top;\n", | |
" }\n", | |
"\n", | |
" .dataframe thead th {\n", | |
" text-align: right;\n", | |
" }\n", | |
"</style>\n", | |
"<table border=\"1\" class=\"dataframe\">\n", | |
" <thead>\n", | |
" <tr style=\"text-align: right;\">\n", | |
" <th></th>\n", | |
" <th>widgets</th>\n", | |
" <th>florpiness</th>\n", | |
" <th>glormp_count</th>\n", | |
" <th>beep_value</th>\n", | |
" </tr>\n", | |
" </thead>\n", | |
" <tbody>\n", | |
" <tr>\n", | |
" <th>0</th>\n", | |
" <td>1.000000</td>\n", | |
" <td>10.000000</td>\n", | |
" <td>199.167048</td>\n", | |
" <td>18.176731</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>1</th>\n", | |
" <td>3.020408</td>\n", | |
" <td>14.969705</td>\n", | |
" <td>189.234256</td>\n", | |
" <td>12.123613</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>2</th>\n", | |
" <td>5.040816</td>\n", | |
" <td>17.643499</td>\n", | |
" <td>206.130372</td>\n", | |
" <td>23.200101</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>3</th>\n", | |
" <td>7.061224</td>\n", | |
" <td>17.172343</td>\n", | |
" <td>199.268667</td>\n", | |
" <td>15.652878</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>4</th>\n", | |
" <td>9.081633</td>\n", | |
" <td>14.689132</td>\n", | |
" <td>198.250686</td>\n", | |
" <td>24.704787</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>5</th>\n", | |
" <td>11.102041</td>\n", | |
" <td>12.594745</td>\n", | |
" <td>201.238916</td>\n", | |
" <td>1.715750</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>6</th>\n", | |
" <td>13.122449</td>\n", | |
" <td>13.045028</td>\n", | |
" <td>195.741224</td>\n", | |
" <td>21.765844</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>7</th>\n", | |
" <td>15.142857</td>\n", | |
" <td>16.592188</td>\n", | |
" <td>195.373523</td>\n", | |
" <td>21.985910</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>8</th>\n", | |
" <td>17.163265</td>\n", | |
" <td>21.836795</td>\n", | |
" <td>181.600484</td>\n", | |
" <td>14.688121</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>9</th>\n", | |
" <td>19.183673</td>\n", | |
" <td>26.309697</td>\n", | |
" <td>187.222707</td>\n", | |
" <td>1.218043</td>\n", | |
" </tr>\n", | |
" </tbody>\n", | |
"</table>\n", | |
"</div>" | |
], | |
"text/plain": [ | |
" widgets florpiness glormp_count beep_value\n", | |
"0 1.000000 10.000000 199.167048 18.176731\n", | |
"1 3.020408 14.969705 189.234256 12.123613\n", | |
"2 5.040816 17.643499 206.130372 23.200101\n", | |
"3 7.061224 17.172343 199.268667 15.652878\n", | |
"4 9.081633 14.689132 198.250686 24.704787\n", | |
"5 11.102041 12.594745 201.238916 1.715750\n", | |
"6 13.122449 13.045028 195.741224 21.765844\n", | |
"7 15.142857 16.592188 195.373523 21.985910\n", | |
"8 17.163265 21.836795 181.600484 14.688121\n", | |
"9 19.183673 26.309697 187.222707 1.218043" | |
] | |
}, | |
"execution_count": 12, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"df.head(10)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "73b11044", | |
"metadata": {}, | |
"source": [ | |
"If we plot these data as is, we can clearly see the patterns of the synthetic data:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 13, | |
"id": "1cf212a8", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<Axes: >" | |
] | |
}, | |
"execution_count": 13, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
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", | |
"text/plain": [ | |
"<Figure size 1000x400 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"df.plot()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "cfd2826a", | |
"metadata": {}, | |
"source": [ | |
"Of course, looking at this graph, it's pretty clear how the data are correlated. But I want to emphasize that correlation has nothing to do with how the individual rows are ordered! To demonstrate, let's put the rows of the data frame in a random order:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 14, | |
"id": "af0fd69e", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"df = df.sample(len(df)).reset_index(drop=True)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "6d3cc2fb", | |
"metadata": {}, | |
"source": [ | |
"Now that the rows of synthetic data are randomized, you don't see their original structure, though you can probably guess that the correlations are still there:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 15, | |
"id": "a97cd6cc", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<Axes: >" | |
] | |
}, | |
"execution_count": 15, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 1000x400 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"df.plot()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "51c0699a", | |
"metadata": {}, | |
"source": [ | |
"### Intuiting correlation from the scatter plot\n", | |
"\n", | |
"An easy way to spot correlations is by doing a scatter plot of two different columns. In a scatter plot, there is one point for every row, and the point is positioned on the X/Y plane according to its value in the two specified columns. For example, let's look at `widgets` vs `flormpiness`:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 16, | |
"id": "1fbf7a39", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<Axes: xlabel='widgets', ylabel='florpiness'>" | |
] | |
}, | |
"execution_count": 16, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 1000x400 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"df.plot(kind=\"scatter\", x=\"widgets\", y=\"florpiness\")" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "e37f8426", | |
"metadata": {}, | |
"source": [ | |
"If you get a plot that looks somewhat organized around a line that increases from left to right, then the values are probably correlated—like `widgets` and `florpiness` above.\n", | |
"\n", | |
"Now let's look at `florpiness` against `glormp_count`:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 17, | |
"id": "89e292a8", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<Axes: xlabel='florpiness', ylabel='glormp_count'>" | |
] | |
}, | |
"execution_count": 17, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 1000x400 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"df.plot(kind=\"scatter\", x=\"florpiness\", y=\"glormp_count\")" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "04f35c0f", | |
"metadata": {}, | |
"source": [ | |
"Here, the points form a descending line, meaning that the two variables are likely negatively correlated (i.e., the higher the `glormp_count`, the lower the `florpiness`).\n", | |
"\n", | |
"If we plot any of these values against `beep_value`, however, a different pattern emerges:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 18, | |
"id": "2e687f47", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<Axes: xlabel='florpiness', ylabel='beep_value'>" | |
] | |
}, | |
"execution_count": 18, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 1000x400 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"df.plot(kind=\"scatter\", x=\"florpiness\", y=\"beep_value\")" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "69816532", | |
"metadata": {}, | |
"source": [ | |
"In this plot, there's no clear relationship between the two variables. In the case of our toy data, this is expected, since we created `beep_value` using random numbers from a uniform distribution.\n", | |
"\n", | |
"### One scatterplot to rule them all\n", | |
"\n", | |
"Pandas provides a function to draw what's called a *scatter matrix*, which is a matrix of scatter plots for every combination of columns in the data frame. Here's what it looks like:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 19, | |
"id": "a66d9e08", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"array([[<Axes: xlabel='widgets', ylabel='widgets'>,\n", | |
" <Axes: xlabel='florpiness', ylabel='widgets'>,\n", | |
" <Axes: xlabel='glormp_count', ylabel='widgets'>,\n", | |
" <Axes: xlabel='beep_value', ylabel='widgets'>],\n", | |
" [<Axes: xlabel='widgets', ylabel='florpiness'>,\n", | |
" <Axes: xlabel='florpiness', ylabel='florpiness'>,\n", | |
" <Axes: xlabel='glormp_count', ylabel='florpiness'>,\n", | |
" <Axes: xlabel='beep_value', ylabel='florpiness'>],\n", | |
" [<Axes: xlabel='widgets', ylabel='glormp_count'>,\n", | |
" <Axes: xlabel='florpiness', ylabel='glormp_count'>,\n", | |
" <Axes: xlabel='glormp_count', ylabel='glormp_count'>,\n", | |
" <Axes: xlabel='beep_value', ylabel='glormp_count'>],\n", | |
" [<Axes: xlabel='widgets', ylabel='beep_value'>,\n", | |
" <Axes: xlabel='florpiness', ylabel='beep_value'>,\n", | |
" <Axes: xlabel='glormp_count', ylabel='beep_value'>,\n", | |
" <Axes: xlabel='beep_value', ylabel='beep_value'>]], dtype=object)" | |
] | |
}, | |
"execution_count": 19, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 1000x400 with 16 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"pd.plotting.scatter_matrix(df)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "f3b10e5a", | |
"metadata": {}, | |
"source": [ | |
"It's a bit messy, but here's how you read it. Both the X axis and the Y axis of the matrix have every column. Each cell has the scatter plot for the two columns that correspond to the cell's X and Y position. It doesn't make sense to do a scatter plot of a column against itself (each column is always perfectly correlated with itself, after all), so Pandas shows the histogram for that column instead.\n", | |
"\n", | |
"The scatter matrix is a very easy way to get an overview of your data, and spot columns at a glance that might be correlated in some way." | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "7057ac3a", | |
"metadata": {}, | |
"source": [ | |
"### Scoring correlations\n", | |
"\n", | |
"If just eyeballing the data isn't enough for you, it's also possible to compute a value for the correlation. This is useful for automatically finding correlations, or figuring out which correlations are more pronounced than others. The `.corr()` method of a Pandas `DataFrame` evaluates to a new data frame with a matrix of computed correlations. It looks like this:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 20, | |
"id": "6dd4c16f", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/html": [ | |
"<div>\n", | |
"<style scoped>\n", | |
" .dataframe tbody tr th:only-of-type {\n", | |
" vertical-align: middle;\n", | |
" }\n", | |
"\n", | |
" .dataframe tbody tr th {\n", | |
" vertical-align: top;\n", | |
" }\n", | |
"\n", | |
" .dataframe thead th {\n", | |
" text-align: right;\n", | |
" }\n", | |
"</style>\n", | |
"<table border=\"1\" class=\"dataframe\">\n", | |
" <thead>\n", | |
" <tr style=\"text-align: right;\">\n", | |
" <th></th>\n", | |
" <th>widgets</th>\n", | |
" <th>florpiness</th>\n", | |
" <th>glormp_count</th>\n", | |
" <th>beep_value</th>\n", | |
" </tr>\n", | |
" </thead>\n", | |
" <tbody>\n", | |
" <tr>\n", | |
" <th>widgets</th>\n", | |
" <td>1.000000</td>\n", | |
" <td>0.983441</td>\n", | |
" <td>-0.975385</td>\n", | |
" <td>-0.207085</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>florpiness</th>\n", | |
" <td>0.983441</td>\n", | |
" <td>1.000000</td>\n", | |
" <td>-0.967650</td>\n", | |
" <td>-0.225806</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>glormp_count</th>\n", | |
" <td>-0.975385</td>\n", | |
" <td>-0.967650</td>\n", | |
" <td>1.000000</td>\n", | |
" <td>0.209233</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>beep_value</th>\n", | |
" <td>-0.207085</td>\n", | |
" <td>-0.225806</td>\n", | |
" <td>0.209233</td>\n", | |
" <td>1.000000</td>\n", | |
" </tr>\n", | |
" </tbody>\n", | |
"</table>\n", | |
"</div>" | |
], | |
"text/plain": [ | |
" widgets florpiness glormp_count beep_value\n", | |
"widgets 1.000000 0.983441 -0.975385 -0.207085\n", | |
"florpiness 0.983441 1.000000 -0.967650 -0.225806\n", | |
"glormp_count -0.975385 -0.967650 1.000000 0.209233\n", | |
"beep_value -0.207085 -0.225806 0.209233 1.000000" | |
] | |
}, | |
"execution_count": 20, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"df.corr()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "5f4380f6", | |
"metadata": {}, | |
"source": [ | |
"The default correlation metric is the [Pearson correlation coefficient](https://en.wikipedia.org/wiki/Pearson_correlation_coefficient). Using this metric, perfectly correlated columns score 1; perfectly inversely correlated columns score -1; and columns that are not correlated at all score 0. You can find the correlation for two columns at the intersection of the column names in the data frame returned by `.corr()`. Here we can see that there is a strong correlation between, e.g., `widgets` and `florpiness`, whereas `beep_value`'s correlation scores are much closer to zero." | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "67c9cc70", | |
"metadata": {}, | |
"source": [ | |
"## Correlation: example with real data\n", | |
"\n", | |
"Okay, so let's try this out with some actual data. I've prepared [a dataset of GitHub repository topics](github-topics-by-economy.csv), which you should download and put in the same directory as this notebook. I'm going to open it as a data frame first, and then explain what it is and how it works." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 21, | |
"id": "1441839e", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"# .set_index() below to use the first column as the data frame index (this will be handy later)\n", | |
"df = pd.read_csv(\"./github-topics-by-economy.csv\").set_index(\"iso2_code\")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 22, | |
"id": "8e7593fa", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/html": [ | |
"<div>\n", | |
"<style scoped>\n", | |
" .dataframe tbody tr th:only-of-type {\n", | |
" vertical-align: middle;\n", | |
" }\n", | |
"\n", | |
" .dataframe tbody tr th {\n", | |
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" }\n", | |
"\n", | |
" .dataframe thead th {\n", | |
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"</style>\n", | |
"<table border=\"1\" class=\"dataframe\">\n", | |
" <thead>\n", | |
" <tr style=\"text-align: right;\">\n", | |
" <th></th>\n", | |
" <th>python</th>\n", | |
" <th>javascript</th>\n", | |
" <th>react</th>\n", | |
" <th>hacktoberfest</th>\n", | |
" <th>typescript</th>\n", | |
" <th>java</th>\n", | |
" <th>nodejs</th>\n", | |
" <th>css</th>\n", | |
" <th>docker</th>\n", | |
" <th>html</th>\n", | |
" <th>...</th>\n", | |
" <th>game</th>\n", | |
" <th>cli</th>\n", | |
" <th>django</th>\n", | |
" <th>mysql</th>\n", | |
" <th>documentation</th>\n", | |
" <th>csharp</th>\n", | |
" <th>kotlin</th>\n", | |
" <th>tailwindcss</th>\n", | |
" <th>ios</th>\n", | |
" <th>blockchain</th>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>iso2_code</th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" </tr>\n", | |
" </thead>\n", | |
" <tbody>\n", | |
" <tr>\n", | |
" <th>AR</th>\n", | |
" <td>0.039609</td>\n", | |
" <td>0.065067</td>\n", | |
" <td>0.058653</td>\n", | |
" <td>0.005784</td>\n", | |
" <td>0.022493</td>\n", | |
" <td>0.019765</td>\n", | |
" <td>0.034730</td>\n", | |
" <td>0.034428</td>\n", | |
" <td>0.003161</td>\n", | |
" <td>0.028684</td>\n", | |
" <td>...</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.004302</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.002151</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>AT</th>\n", | |
" <td>0.143863</td>\n", | |
" <td>0.096892</td>\n", | |
" <td>0.016085</td>\n", | |
" <td>0.103127</td>\n", | |
" <td>0.056965</td>\n", | |
" <td>0.090896</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.021177</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>...</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.004854</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>AU</th>\n", | |
" <td>0.065165</td>\n", | |
" <td>0.051515</td>\n", | |
" <td>0.053479</td>\n", | |
" <td>0.038584</td>\n", | |
" <td>0.039427</td>\n", | |
" <td>0.024723</td>\n", | |
" <td>0.030011</td>\n", | |
" <td>0.016591</td>\n", | |
" <td>0.025528</td>\n", | |
" <td>0.016792</td>\n", | |
" <td>...</td>\n", | |
" <td>0.008726</td>\n", | |
" <td>0.008860</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.007203</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.001015</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000996</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>BD</th>\n", | |
" <td>0.024566</td>\n", | |
" <td>0.046559</td>\n", | |
" <td>0.035475</td>\n", | |
" <td>0.001271</td>\n", | |
" <td>0.008511</td>\n", | |
" <td>0.013066</td>\n", | |
" <td>0.024214</td>\n", | |
" <td>0.029801</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.027155</td>\n", | |
" <td>...</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.006169</td>\n", | |
" <td>0.002461</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.013514</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>BE</th>\n", | |
" <td>0.134137</td>\n", | |
" <td>0.076613</td>\n", | |
" <td>0.045815</td>\n", | |
" <td>0.076655</td>\n", | |
" <td>0.033513</td>\n", | |
" <td>0.038603</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>...</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.009121</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>...</th>\n", | |
" <td>...</td>\n", | |
" <td>...</td>\n", | |
" <td>...</td>\n", | |
" <td>...</td>\n", | |
" <td>...</td>\n", | |
" <td>...</td>\n", | |
" <td>...</td>\n", | |
" <td>...</td>\n", | |
" <td>...</td>\n", | |
" <td>...</td>\n", | |
" <td>...</td>\n", | |
" <td>...</td>\n", | |
" <td>...</td>\n", | |
" <td>...</td>\n", | |
" <td>...</td>\n", | |
" <td>...</td>\n", | |
" <td>...</td>\n", | |
" <td>...</td>\n", | |
" <td>...</td>\n", | |
" <td>...</td>\n", | |
" <td>...</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>US</th>\n", | |
" <td>0.028277</td>\n", | |
" <td>0.020119</td>\n", | |
" <td>0.017519</td>\n", | |
" <td>0.014956</td>\n", | |
" <td>0.010669</td>\n", | |
" <td>0.011038</td>\n", | |
" <td>0.010387</td>\n", | |
" <td>0.007184</td>\n", | |
" <td>0.008272</td>\n", | |
" <td>0.006825</td>\n", | |
" <td>...</td>\n", | |
" <td>0.004380</td>\n", | |
" <td>0.004345</td>\n", | |
" <td>0.002667</td>\n", | |
" <td>0.002495</td>\n", | |
" <td>0.003928</td>\n", | |
" <td>0.003589</td>\n", | |
" <td>0.001787</td>\n", | |
" <td>0.001829</td>\n", | |
" <td>0.003357</td>\n", | |
" <td>0.002935</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>UZ</th>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.015633</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>...</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>VE</th>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.036792</td>\n", | |