"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.jointplot(x='body_mass_g', y='bill_length_mm', kind='reg', data=penguins)"
]
},
{
"cell_type": "markdown",
"id": "ccc7f195",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"# Mathematical Formulation of Correlation\n",
"\n",
"* Pearson's $r$ - sample and $\\rho$ for population. \n",
"\n",
"$$\n",
"r=\\dfrac{\\sum (x_i-\\bar{x})(y_i-\\bar{y}) }{\\sqrt{\\sum (x_i-\\bar{x})^2}\\sqrt{\\sum (y_i-\\bar{y})^2}}=\\frac{cov(x,y)}{\\sigma_x \\sigma_y}\n",
"$$"
]
},
{
"cell_type": "markdown",
"id": "8278eac1",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"# Statistical Properties of the correlation coefficient (Pearson)\n",
"\n",
"* $ -1 \\leq r \\leq 1$ \n",
"* The sign of the correlation provides a direction of **linear** relationship\n",
"* 0 - means no relationship\n",
"* There are no units associated with $r$ \n",
"* The close it is to $\\pm 1$ the stronger the linear relationship\n",
"* If we fit a simple linear regression model between $Y$ and $X$, then $r$ has the same sign as $\\beta_1$ (coefficient of $X$ in regression equation) \n",
"* correlation value is the same regardless of what we define as $X$ and $Y$."
]
},
{
"cell_type": "markdown",
"id": "0953337c",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
""
]
},
{
"cell_type": "markdown",
"id": "edd7c274",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"# Statistical Properties of the correlation coefficient (Pearson)\n",
"\n",
"* $H_0$: $\\rho_p = 0$ versus $H_a$: $\\rho_p \\neq 0$\n",
"* The sampling distribution for Pearson's $r_p$ is not normal. In order to attain confidence limits for $r_p$ based on a standard normal distribution, we transform $r_p$ using Fisher's Z transformation to get a quantity, $z_p$, that has an approximate normal distribution. See formulas [here](https://online.stat.psu.edu/stat509/lesson/18/18.1)"
]
},
{
"cell_type": "markdown",
"id": "cf4bfe8a",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"# Spearman Correlation\n",
"\n",
"* Spearman rank correlation coefficient, $r_s$, is a non-parameteric measure of correlation based on data ranks. First, two variable values are ranked. Then, Pearson's $r_p$ is calculated on the ranks. \n",
"* Spearman rank correlation coefficient quantifies the degree of linear association between the ranks of $X$ and the ranks of $Y$\n",
"* Also, $r_s$ does not estimate a natural population parameter (unlike Pearson's which estimates $\\rho_p$).\n",
"* An advantage of the Spearman rank correlation coefficient is that the $X$ and $Y$ values can be continuous or ordinal, and approximate normal distributions for $X$ and $Y$ are not required."
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "c3243d8a",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"text/html": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"corr = penguins.corr() # calculate pairwise correlations\n",
"# Generate a mask for the upper triangle\n",
"mask = np.triu(np.ones_like(corr, dtype=bool))\n",
"# Set up the matplotlib figure\n",
"f, ax = plt.subplots(figsize=(5, 5))\n",
"# Generate a custom diverging colormap\n",
"cmap = sns.diverging_palette(230, 20, as_cmap=True)\n",
"# Draw the heatmap with the mask and correct aspect ratio\n",
"sns.heatmap(corr, mask=mask, cmap=cmap, vmax=.3, center=0,\n",
" square=True, linewidths=.5, cbar_kws={\"shrink\": .5})"
]
},
{
"cell_type": "markdown",
"id": "71f77dcd",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Statistical Modeling and Correlations \n",
"\n",
"* Oftentimes our data has many variables (100s, 1000s)\n",
"* If we know which of our variables are INDEPENDENT VARIABLES (predictors) and DEPENDENT VARIABLES (outcome), we can use pairwise correlations to limit the number of predictors without sacrificing much of the predictive power\n",
" * in Statistics: use Accam's razor principle - the simplest model is preferred to the complex one (provided similar accuracy)\n",
" * easier to interpret"
]
},
{
"cell_type": "markdown",
"id": "9ba39819",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Misusing Correlations \n",
"\n",
"* The correlation methods discussed in this chapter should be used only with independent data; they should not be applied to repeated measures data where the data are not independent. For example, it would not be appropriate to use these measures of correlation to describe the relationship between Week 4 and Week 8 blood pressures in the same patients.\n",
"* Caution should be used in interpreting results of correlation analysis when large numbers of variables have been examined, resulting in a large number of correlation coefficients.\n",
"* The correlation of two variables that both have been recorded repeatedly over time can be misleading and spurious. Time trends should be removed from such data before attempting to measure correlation.\n",
"* To extend correlation results to a given population, the subjects under study must form a representative (i.e., random) sample from that population. The Pearson correlation coefficient can be very sensitive to outlying observations and all correlation coefficients are susceptible to sample selection biases."
]
},
{
"cell_type": "markdown",
"id": "4493a715",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"# Misusing Correlations 2\n",
"\n",
"* Care should be taken when attempting to correlate two variables where one is a part and one represents the total. For example, we would expect to find a positive correlation between height at age ten and adult height because the second quantity \"contains\" the first quantity.\n",
"* Correlation should not be used to study the relation between an initial measurement, X, and the change in that measurement over time, Y - X. X will be correlated with Y - X due to the regression to the mean phenomenon.\n",
"* Small correlation values do not necessarily indicate that two variables are unassociated. For example, Pearson's $r_p$ will underestimate the association between two variables that show a quadratic relationship. Scatterplots should always be examined."
]
},
{
"cell_type": "markdown",
"id": "33735282",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"# Misusing Correlations 3\n",
"\n",
"* Correlation does not imply causation. If a strong correlation is observed between two variables A and B, there are several possible explanations:\n",
" * A influences B\n",
" * B influences A\n",
" * A and B are influenced by one or more additional variables \n",
" * The relationship observed between A and B was a chance error.\n",
"* \"Regular\" correlation coefficients are often published when the researcher really intends to compare two methods of measuring the same quantity with respect to their agreement. This is a misguided analysis because correlation measures only the degree of association; it does not measure agreement (Use Kohen's Kappa for that). "
]
},
{
"cell_type": "markdown",
"id": "e4785d88",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Connection between correlation and regression \n",
"\n",
"* Correlation does not imply causation! Thus we can only state that there is positive/negative association between two variables. \n",
"* Regression always comes with a strong believe about our understanding of direction of this association\n",
"\n",
"$$\n",
"\\text{home value} \\sim \\text{number of bedrooms} + \\text{number of bethrooms} + \\text{proximity to amenities}\n",
"$$\n",
"\n",
"* Regression breaks down our data into **dependent** and **independent** variables (predictors). Regression breaks down the how much of the variance in the dependent variable is caused by the variation in the independent variables (more on this later in the course). "
]
},
{
"cell_type": "markdown",
"id": "d6677a90",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"# Regression \n",
"\n",
"* Line fitting (optimizing the slope and intercept of the line so that the distances between the observed points and the line are minimized \n",
"\n",
""
]
},
{
"cell_type": "markdown",
"id": "dfe7c60b",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
""
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "dea881a3",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" names coef se T pval r2 adj_r2\n",
"0 Intercept 26.8989 1.2691 21.1944 0.0 0.3542 0.3523\n",
"1 body_mass_g 0.0041 0.0003 13.6544 0.0 0.3542 0.3523\n",
"R-squared is .35, meaning that body mass explains 35% of variability in bill length of a penguin\n"
]
}
],
"source": [
"x = penguins.body_mass_g.dropna() # predictor\n",
"y = penguins.bill_length_mm.dropna() # predicted\n",
"\n",
"reg1 = pg.linear_regression(x,y).round(4)\n",
"print(reg1.iloc[:,0:7])\n",
"print('R-squared is .35, meaning that body mass explains 35% of variability in bill length of a penguin')"
]
},
{
"cell_type": "markdown",
"id": "0f3c1691",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"# Correlation and Regression\n",
"\n",
"* Runnig a regression with one predictor is equivalent to running a correlation. In fact $r_p^2 = R^2$. Demonstrated on the next slide. "
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "ba0fd2bb",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"correlation coef: 0.354155703142187\n",
"regression coef: 0.3542\n"
]
}
],
"source": [
"r = x.corr(y)\n",
"print(f'correlation coef: {r**2}')\n",
"print(f'regression coef: {reg1.r2[0]}')"
]
},
{
"cell_type": "markdown",
"id": "b1c49315",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Autocorrelation \n",
"\n",
"> Correlation with a lagged copy of self"
]
},
{
"cell_type": "markdown",
"id": "80fc3d19",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Autocorrelation\n",
"\n",
"* Correlation works if we have two variables. These variables do not have any referencing (no temporal referencing no geo-referencing). **ORDER and ARRANGEMENT DO NOT MATTER**. \n",
"* Autocorrelation - relationship to itself. Works on one referenced variable. "
]
},
{
"cell_type": "markdown",
"id": "587b815c",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# 1D Case: Temporal Autocorrelation\n",
"\n",
"![](acf.png)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "77d24608",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"::\n",
"\n",
" Number of Observations - 309 (Annual 1700 - 2008)\n",
" Number of Variables - 1\n",
" Variable name definitions::\n",
"\n",
" SUNACTIVITY - Number of sunspots for each year\n",
"\n",
" The data file contains a 'YEAR' variable that is not returned by load.\n",
"\n"
]
}
],
"source": [
"print(sm.datasets.sunspots.NOTE)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "1dc21794",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(12, 8))\n",
"ax1 = fig.add_subplot(111)\n",
"fig = sm.graphics.tsa.plot_acf(dta.values.squeeze(), lags=40, ax=ax1)"
]
},
{
"cell_type": "markdown",
"id": "5675bf1e",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Global Spatial Autocorrelation \n",
"\n",
"### Recall Tobler's First Law of Geography\n",
"\n",
"> Everything is related to everything else. But near things are more related than distant things. (Tobler, 1969)\n",
"\n",
"#### We are going to give a numerical quantification of TFL in the following slides"
]
},
{
"cell_type": "markdown",
"id": "a0cf1a9c",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"# What is Spatial Autocorrelation \n",
"\n",
"* it the absence of SA we observe complete spatial randomness (CSR): a situation in which the location of an observation gives no information whatsoever about its value. No discernible spatial pattern is observed. \n",
"* Positive SA: similar values are located next to one another: HH and LL. Closeness + Stat similarity! Examples: income, poverty. \n",
"* Negative SA: similar values are located away from one another. Distance + Sta similarity! Examples: grocery stores, schools. \n",
"* The tools quantifying SA are typically gathered under the umbrella of exploratory spatial data analysis (ESDA) in geography"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "24ab7e18",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Example not available: Guerry\n",
"Example not downloaded: Chicago parcels\n",
"Example not downloaded: Chile Migration\n",
"Example not downloaded: Spirals\n",
"(85, 24)\n"
]
},
{
"data": {
"text/html": [
"
French lawyer and amateur statistician, who, together with Adolphe Quetelet, is considered a founder of moral statistics, which led to the development criminology and sociology
Read more [here](https://www.datavis.ca/papers/guerry-STS241.pdf)
|"
]
},
{
"cell_type": "markdown",
"id": "c7d70f21",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# First Look at Spatial Autocorrelation - Choropleth Mapping\n",
"\n",
"1. Can you discern patterns on the map? \n",
"2. The shape and size of geometries can also significantly distort our perception of the underlying pattern!"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "aad7ab95",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [],
"source": [
"# re-creating the three maps from original publication\n",
"fig, (ax1,ax2,ax3) = plt.subplots(1,3, figsize=(12,5))\n",
"guerry.plot(ax=ax1, aspect=1, fc='None', ec='k')\n",
"guerry.plot(ax=ax2, aspect=1, fc='None', ec='k')\n",
"guerry.plot(ax=ax3, aspect=1, fc='None', ec='k')\n",
"guerry.plot(column='Crm_prs', cmap='Greys', scheme='quantiles', k=5, ax=ax1, aspect=1, \n",
" legend=True, legend_kwds={'loc': 'center', 'bbox_to_anchor':(0.5, -0.3)})\n",
"guerry.plot(column='Crm_prp', cmap='Greys', scheme='quantiles', k=5, ax=ax2, aspect=1, \n",
" legend=True, legend_kwds={'loc': 'center', 'bbox_to_anchor':(0.5, -0.3)})\n",
"guerry.plot(column='Instrct', cmap='Greys', scheme='quantiles', k=5, ax=ax3, aspect=1, \n",
" legend=True, legend_kwds={'loc': 'center', 'bbox_to_anchor':(0.5, -0.3)})\n",
"ax1.set_title('Crimes Against Persons', fontsize=16); \n",
"ax2.set_title('Crimes Against Property', fontsize=16); \n",
"ax3.set_title('Instruction', fontsize=16); \n",
"ax1.axis('off');\n",
"ax2.axis('off');\n",
"ax3.axis('off');\n",
"fig.savefig('guerry.png')\n",
"plt.close()"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "0da9db61",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image(filename='guerry.png') "
]
},
{
"cell_type": "markdown",
"id": "113e81b1",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Spatial Lag\n",
"\n",
"* the spatial lag captures the behavior of a variable in the immediate surroundings of each location (local smoother) \n",
"\n",
"$$\n",
"Y_{sl} = WY\n",
"$$\n",
"\n",
"$$\n",
"y_{sl - i} = \\sum_{j}w_{ij}y_j\n",
"$$\n",
"\n",
"* $W$ is typically row-standardized, bounded between 0 and 1. In other words, the spatial lag is *local mean*. "
]
},
{
"cell_type": "markdown",
"id": "fa7f6305",
"metadata": {},
"source": [
"# Moran's $I$\n",
"\n",
"$$\n",
"I = \\dfrac{n}{\\sum_i\\sum_j w_{ij}} \\dfrac{\\sum_i\\sum_j w_{ij} \\, z_i \\, z_j}{\\sum_i z_i^2}\n",
"$$\n",
"\n",
"where $n$ is the number of observations, $z_i$ is the standardized value of the variable of interest at location $i$, and $w_{ij}$ is the cell corresponding to the $i$-th row and $j$-th column of a $W$ spatial weights matrix."
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "2aa5cad7",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"text/plain": [
"0.26355334031776523"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from libpysal.weights.contiguity import Queen\n",
"import splot\n",
"from esda.moran import Moran\n",
"\n",
"y = guerry['Crm_prp'].values\n",
"w = Queen.from_dataframe(guerry)\n",
"w.transform = 'r'\n",
"\n",
"moran = Moran(y, w)\n",
"moran.I"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "94bf5b85",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
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