{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Normal distribution" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this tutorial we'll investigate the probability distribution that is most central to statistics: the normal distribution. If we are confident that our data are nearly normal, that opens the door to many powerful statistical methods. Here we'll use the graphical tools of Python to assess the normality of a dataset and also learn how to generate random numbers from a normal distribution." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we'll be working with measurements of body dimensions. This data set contains measurements from 247 men and 260 women, most of whom were considered healthy young adults." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import warnings\n", "warnings.filterwarnings(\"ignore\")\n", "\n", "import numpy as np\n", "import pandas as pd\n", "import io\n", "import requests\n", "\n", "df_url = 'https://raw.githubusercontent.com/akmand/datasets/master/openintro/bdims.csv'\n", "url_content = requests.get(df_url, verify=False).content\n", "bdims = pd.read_csv(io.StringIO(url_content.decode('utf-8')))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's take a quick peek at the first few rows of the data." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(507, 25)\n" ] }, { "data": { "text/html": [ "
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" ], "text/plain": [ " bia.di bii.di bit.di che.de che.di elb.di wri.di kne.di ank.di \\\n", "0 42.9 26.0 31.5 17.7 28.0 13.1 10.4 18.8 14.1 \n", "1 43.7 28.5 33.5 16.9 30.8 14.0 11.8 20.6 15.1 \n", "2 40.1 28.2 33.3 20.9 31.7 13.9 10.9 19.7 14.1 \n", "3 44.3 29.9 34.0 18.4 28.2 13.9 11.2 20.9 15.0 \n", "4 42.5 29.9 34.0 21.5 29.4 15.2 11.6 20.7 14.9 \n", "\n", " sho.gi che.gi wai.gi nav.gi hip.gi thi.gi bic.gi for.gi kne.gi \\\n", "0 106.2 89.5 71.5 74.5 93.5 51.5 32.5 26.0 34.5 \n", "1 110.5 97.0 79.0 86.5 94.8 51.5 34.4 28.0 36.5 \n", "2 115.1 97.5 83.2 82.9 95.0 57.3 33.4 28.8 37.0 \n", "3 104.5 97.0 77.8 78.8 94.0 53.0 31.0 26.2 37.0 \n", "4 107.5 97.5 80.0 82.5 98.5 55.4 32.0 28.4 37.7 \n", "\n", " cal.gi ank.gi wri.gi age wgt hgt sex \n", "0 36.5 23.5 16.5 21 65.6 174.0 1 \n", "1 37.5 24.5 17.0 23 71.8 175.3 1 \n", "2 37.3 21.9 16.9 28 80.7 193.5 1 \n", "3 34.8 23.0 16.6 23 72.6 186.5 1 \n", "4 38.6 24.4 18.0 22 78.8 187.2 1 " ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pd.set_option('display.max_columns', None)\n", "print(bdims.shape)\n", "bdims.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You'll see that for every observation we have 21 measurements, many of which are either diameters or girths. A key to the variable names can be found [here](https://www.openintro.org/book/statdata/?data=bdims), but we'll be focusing on just three columns to get started: weight in kg (`wgt`), height in cm (`hgt`), and `sex` (1 indicates male, 0 indicates female).\n", "\n", "Since men and women tend to have different body dimensions, it will be useful to create two additional data sets: one with only men and another one with only women." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "mdims = bdims[bdims['sex'] == 1]\n", "fdims = bdims[bdims['sex'] == 0]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "

Exercise 1

\n", "Make a histogram of men's heights and a histogram of women's heights. How would you compare the various aspects of the two distributions?\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The normal distribution" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In your description of the distributions, did you use words like *bell-shaped or normal*? It's tempting to say so when faced with a unimodal symmetric distribution.\n", "\n", "To see how accurate that description is, we can plot a normal distribution curve on top of a histogram to see how closely the data follow a normal distribution. This normal curve should have the same mean and standard deviation as the data. We'll be working with women's heights, so let's store them as a separate object and then calculate some statistics that will be referenced later." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "fhgtmean = fdims['hgt'].mean()\n", "fhgtsd = fdims['hgt'].std()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we make a density histogram to use as the backdrop and use the `seaborn.distplot()` function to overlay a normal probability curve. The difference between a frequency histogram and a density histogram is that while in a frequency histogram the heights of the bars add up to the total number of observations, in a density histogram the areas of the bars add up to 1. The area of each bar can be calculated as simply the height times the width of the bar. Using a density histogram allows us to properly overlay a normal distribution curve over the histogram since the curve is a normal probability density function. Frequency and density histograms both display the same exact shape; they only differ in their y-axis. You can verify this by comparing the frequency histogram you constructed earlier and the density histogram created by the commands below." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import seaborn as sns\n", "from scipy.stats import norm\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline \n", "plt.rcParams['figure.figsize'] = (6, 6)\n", "\n", "fhgt_hist = sns.distplot(fdims['hgt'], norm_hist = True, kde = False, color = 'purple', bins = 8)\n", "x = np.arange(140, 191) \n", "y = norm.pdf(x, loc = fhgtmean, scale = fhgtsd) \n", "fhgt_hist.plot(x, y, 'purple');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "After plotting the density histogram, we create the x- and y-coordinates for the normal curve. We chose the x range as 140 to 190 in order to span the entire range of women's heights. To create y, we use `norm.pdf()` from `scipy.stats` to calculate the density of each of those x-values in a distribution that is normal with mean (`fhgtmean`) and standard deviation (`fhgtsd`). The final command draws a curve on the existing density histogram by connecting each of the points specified by x and y. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "

Exercise 2

\n", "Based on the this plot, does it appear that the data follow a nearly normal distribution?\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Evaluating the normal distribution" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Eyeballing the shape of the histogram is one way to determine if the data appear to be nearly normally distributed, but it can be frustrating to decide just how close the histogram is to the curve. An alternative approach involves constructing a normal probability plot, also called a normal Q-Q plot for \"quantile-quantile\"." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy.stats import probplot\n", "import matplotlib.pyplot as plt\n", "\n", "probplot(fdims['hgt'], plot = plt)\n", "plt.show();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A data set that is nearly normal will result in a probability plot where the points closely follow the line. Any deviations from normality leads to deviations of these points from the line. The plot for female heights shows points that tend to follow the line but with some errant points towards the tails. We're left with the same problem that we encountered with the histogram above: how close is close enough?\n", "\n", "A useful way to address this question is to rephrase it as: what do probability plots look like for data that I know came from a normal distribution? We can answer this by simulating data from a normal distribution using `numpy.random.normal()`." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "sim_norm = np.random.normal(size = len(fdims['hgt']), loc = fhgtmean, scale = fhgtsd)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first argument indicates how many numbers you'd like to generate, which we specify to be the same number of heights in the `fdims` data set using the `len()` function. The last two arguments (`loc` and `scale`) determine the mean and standard deviation of the normal distribution from which the simulated sample will be generated. We can take a look at the shape of our simulated data set, `sim_norm`, as well as its normal probability plot." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "

Exercise 3

\n", "Make a normal probability plot of sim_norm. Do all of the points fall on the line? How does this plot compare to the probability plot for the real data?\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Even better than comparing the original plot to a single plot generated from a normal distribution is to compare it to many more plots using the following function:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# draw random samples from a normal distribution eight times, \n", "# so we can construct eight different normal probability plots\n", "sim_norm_8 = []\n", "for i in range(8):\n", " sim_norm_8.append(np.random.normal(size = len(fdims['hgt']), loc = fhgtmean, scale = fhgtsd))\n", "\n", "# compare the original plot to nine plots generated from a normal distribution.\n", "plt.rcParams['figure.figsize'] = (15, 15)\n", "plt.tight_layout(pad = 1) # adjust the subplots to fit in to the figure area.\n", "plt.subplots_adjust(hspace = 0.6, wspace = 0.6) # adjust the amount of width and height reserved for space between subplots.\n", "\n", "plt.subplot(3, 3, 1)\n", "probplot(fdims['hgt'], plot = plt)\n", "plt.title('Normal Q-Q Plot (Data)')\n", "\n", "plt.subplot(3, 3, 2)\n", "probplot(sim_norm_8[0], plot = plt)\n", "plt.title('Normal Q-Q Plot (Sim 1)')\n", "\n", "plt.subplot(3, 3, 3)\n", "probplot(sim_norm_8[1], plot = plt)\n", "plt.title('Normal Q-Q Plot (Sim 2)')\n", "\n", "plt.subplot(3, 3, 4)\n", "probplot(sim_norm_8[2], plot = plt)\n", "plt.title('Normal Q-Q Plot (Sim 3)')\n", "\n", "plt.subplot(3, 3, 5)\n", "probplot(sim_norm_8[3], plot = plt)\n", "plt.title('Normal Q-Q Plot (Sim 4)')\n", "\n", "plt.subplot(3, 3, 6)\n", "probplot(sim_norm_8[4], plot = plt)\n", "plt.title('Normal Q-Q Plot (Sim 5)')\n", "\n", "plt.subplot(3, 3, 7)\n", "probplot(sim_norm_8[5], plot = plt)\n", "plt.title('Normal Q-Q Plot (Sim 6)')\n", "\n", "plt.subplot(3, 3, 8)\n", "probplot(sim_norm_8[6], plot = plt)\n", "plt.title('Normal Q-Q Plot (Sim 7)')\n", "\n", "plt.subplot(3, 3, 9)\n", "probplot(sim_norm_8[7], plot = plt)\n", "plt.title('Normal Q-Q Plot (Sim 8)')\n", "\n", "plt.show();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "

Exercise 4

\n", "Does the normal probability plot for fdims['hgt'] look similar to the plots created for the simulated data? That is, do plots provide evidence that the female heights are nearly normal?\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "

Exercise 5

\n", "Using the same technique, determine whether or not female weights appear to come from a normal distribution.\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Normal probabilities" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Okay, so now you have a slew of tools to judge whether or not a variable is normally distributed. Why should we care?\n", "\n", "It turns out that statisticians know a lot about the normal distribution. Once we decide that a random variable is approximately normal, we can answer all sorts of questions about that variable related to probability. Take, for example, the question of, \"What is the probability that a randomly chosen young adult female is taller than 6 feet (about 182 cm)?\" (The study that published this data set is clear to point out that the sample was not random and therefore inference to a general population is not suggested. We do so here only as an exercise.)\n", "\n", "If we assume that female heights are normally distributed (a very close approximation is also okay), we can find this probability by calculating a Z score and consulting a Z table (also called a *normal probability table*). In Python, this is done in one step with the function `norm.cdf()` from `scipy.stats`." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.0044" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from scipy.stats import norm\n", "\n", "prob_using_Z = 1 - norm.cdf(182, loc = fhgtmean, scale = fhgtsd)\n", "round(prob_using_Z, 4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the function `norm.cdf()` gives the area under the normal curve below a given value, with a given mean and standard deviation. Since we're interested in the probability that someone is taller than 182 cm, we have to take one minus that probability.\n", "\n", "Assuming a normal distribution has allowed us to calculate a theoretical probability. If we want to calculate the probability empirically, we simply need to determine how many observations fall above 182 then divide this number by the total sample size." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.0038" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "prob_using_theoretical = (sum(fdims['hgt'] > 182) / len(fdims['hgt']))\n", "round(prob_using_theoretical, 4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Although the probabilities are not exactly the same, they are reasonably close. The closer that your distribution is to being normal, the more accurate the theoretical probabilities will be." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "

Exercise 6

\n", "Write out two probability questions that you would like to answer; one regarding female heights and one regarding female weights. Calculate the those probabilities using both the theoretical normal distribution as well as the empirical distribution (four probabilities in all). Which variable, height or weight, had a closer agreement between the two methods?\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "## On Your Own\n", "\n", "
    \n", "
  1. Now let's consider some of the other variables in the body dimensions data set. Using the figures at the end of the exercises, match the histogram to its normal probability plot. All of the variables have been standardized (first subtract the mean, then divide by the standard deviation), so the units won't be of any help. If you are uncertain based on these figures, generate the plots with Python to check.

  2. \n", "
      \n", "
    • The histogram for female biiliac (pelvic) diameter (bii.di) belongs to normal probability plot letter ____.
    • \n", "
    • The histogram for female elbow diameter (elb.di) belongs to normal probability plot letter ____.
    • \n", "
    • The histogram for general age (age) belongs to normal probability plot letter ____.
    • \n", "
    • The histogram for female chest depth (che.de) belongs to normal probability plot letter ____.
    • \n", "

    \n", "
  3. Note that normal probability plots C and D have a slight stepwise pattern. Why do you think this is the case?

  4. \n", "
  5. As you can see, normal probability plots can be used both to assess normality and visualize skewness. Make a normal probability plot for female knee diameter (kne.di). Based on this normal probability plot, is this variable left skewed, symmetric, or right skewed? Use a histogram to confirm your findings.

  6. \n", "
\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "This lab was adapted by David Akman and Imran Ture from OpenIntro by Andrew Bray and Mine Çetinkaya-Rundel.\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "***" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.9" } }, "nbformat": 4, "nbformat_minor": 4 }