{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "tags": [ "remove-input" ] }, "outputs": [], "source": [ "from datascience import *\n", "import matplotlib\n", "path_data = '../../../assets/data/'\n", "matplotlib.use('Agg')\n", "%matplotlib inline\n", "import matplotlib.pyplot as plots\n", "plots.style.use('fivethirtyeight')\n", "import numpy as np\n", "np.set_printoptions(threshold=50)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Visualizing Categorical Distributions\n", "\n", "Data come in many forms that are not numerical. Data can be pieces of music, or places on a map. They can also be categories into which you can place individuals. Here are some examples of *categorical* variables.\n", "\n", "- The individuals are cartons of ice-cream, and the variable is the flavor in the carton.\n", "- The individuals are professional basketball players, and the variable is the player's team.\n", "- The individuals are years, and the variable is the genre of the highest grossing movie of the year.\n", "- The individuals are survey respondents, and the variable is the response they choose from among \"Not at all satisfied,\" \"Somewhat satisfied,\" and \"Very satisfied.\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The table `icecream` contains data on 30 cartons of ice-cream. " ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
Flavor | Number of Cartons | \n", "
---|---|
Chocolate | 16 | \n", "
Strawberry | 5 | \n", "
Vanilla | 9 | \n", "
Title | Studio | Gross | Gross (Adjusted) | Year | \n", "
---|---|---|---|---|
Gone with the Wind | MGM | 198676459 | 1796176700 | 1939 | \n", "
Star Wars | Fox | 460998007 | 1583483200 | 1977 | \n", "
The Sound of Music | Fox | 158671368 | 1266072700 | 1965 | \n", "
E.T.: The Extra-Terrestrial | Universal | 435110554 | 1261085000 | 1982 | \n", "
Titanic | Paramount | 658672302 | 1204368000 | 1997 | \n", "
The Ten Commandments | Paramount | 65500000 | 1164590000 | 1956 | \n", "
Jaws | Universal | 260000000 | 1138620700 | 1975 | \n", "
Doctor Zhivago | MGM | 111721910 | 1103564200 | 1965 | \n", "
The Exorcist | Warner Brothers | 232906145 | 983226600 | 1973 | \n", "
Snow White and the Seven Dwarves | Disney | 184925486 | 969010000 | 1937 | \n", "
... (190 rows omitted)
" ], "text/plain": [ "Title | Studio | Gross | Gross (Adjusted) | Year\n", "Gone with the Wind | MGM | 198676459 | 1796176700 | 1939\n", "Star Wars | Fox | 460998007 | 1583483200 | 1977\n", "The Sound of Music | Fox | 158671368 | 1266072700 | 1965\n", "E.T.: The Extra-Terrestrial | Universal | 435110554 | 1261085000 | 1982\n", "Titanic | Paramount | 658672302 | 1204368000 | 1997\n", "The Ten Commandments | Paramount | 65500000 | 1164590000 | 1956\n", "Jaws | Universal | 260000000 | 1138620700 | 1975\n", "Doctor Zhivago | MGM | 111721910 | 1103564200 | 1965\n", "The Exorcist | Warner Brothers | 232906145 | 983226600 | 1973\n", "Snow White and the Seven Dwarves | Disney | 184925486 | 969010000 | 1937\n", "... (190 rows omitted)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "top = Table.read_table(path_data + 'top_movies_2017.csv')\n", "top" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The studios MGM, Fox, Universal, and Paramount show up more than once in the top ten. Which studios will appear most frequently if we look among all 200 rows?\n", "\n", "To figure this out, first notice that all we need is a table with the movies and the studios; the other information is unnecessary." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "movies_and_studios = top.select('Title', 'Studio')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Table method `group` allows us to count how frequently each studio appears in the table, by calling each studio a category and collecting all the rows in each of these new categories. \n", "\n", "The `group` method takes as its argument the label of the column that contains the categories. It returns a table of counts of rows in each category. \n", "\n", "Thus `group` creates a distribution table that shows how the individuals (movies) are distributed among the categories (studios). \n", "\n", "The `group` method lists the categories in ascending order. Since our categories are studio names and therefore represented as strings, ascending order means alphabetical order.\n", "\n", "The column of counts is always called `count`, but you can change that if you like by using `relabeled`." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/html": [ "Studio | count | \n", "
---|---|
AVCO | 1 | \n", "
Buena Vista | 35 | \n", "
Columbia | 9 | \n", "
Disney | 11 | \n", "
Dreamworks | 3 | \n", "
Fox | 24 | \n", "
IFC | 1 | \n", "
Lionsgate | 3 | \n", "
MGM | 7 | \n", "
Metro | 1 | \n", "
... (13 rows omitted)
" ], "text/plain": [ "Studio | count\n", "AVCO | 1\n", "Buena Vista | 35\n", "Columbia | 9\n", "Disney | 11\n", "Dreamworks | 3\n", "Fox | 24\n", "IFC | 1\n", "Lionsgate | 3\n", "MGM | 7\n", "Metro | 1\n", "... (13 rows omitted)" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "studio_distribution = movies_and_studios.group('Studio')\n", "studio_distribution" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The table shows that there are 23 different studios and provides the count of movies released by each one. The total of the count is 200, the total number of movies." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "200" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sum(studio_distribution.column('count'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now use this table, along with the graphing skills acquired above, to draw a bar chart that shows which studios are most frequent among the 200 highest grossing movies." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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