{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Drawing Charts\n",
"\n",
"This notebook presents various options for drawing charts of data, to complement the Week 3 chart types video.\n",
"\n",
"This tutorial uses concepts from both the [Selection](Selection.ipynb) and [Reshaping](Reshaping.ipynb) notebooks.\n",
"\n",
"This notebook uses the “MovieLens + IMDB/RottenTomatoes” data from the [HETREC data](https://grouplens.org/datasets/hetrec-2011/). It also uses data sets built in to Seaborn."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Setup\n",
"\n",
"First we will import our modules:"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Then import the HETREC MovieLens data. A few notes:\n",
"\n",
"- Tab-separated data\n",
"- Not UTF-8 - latin-1 encoding seems to work\n",
"- Missing data encoded as `\\N` (there's a good chance that what we have is a PostgreSQL data dump!)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Movies"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
"
],
"text/plain": [
" survived pclass sex age sibsp parch fare embarked class \\\n",
"0 0 3 male 22.0 1 0 7.2500 S Third \n",
"1 1 1 female 38.0 1 0 71.2833 C First \n",
"2 1 3 female 26.0 0 0 7.9250 S Third \n",
"3 1 1 female 35.0 1 0 53.1000 S First \n",
"4 0 3 male 35.0 0 0 8.0500 S Third \n",
".. ... ... ... ... ... ... ... ... ... \n",
"886 0 2 male 27.0 0 0 13.0000 S Second \n",
"887 1 1 female 19.0 0 0 30.0000 S First \n",
"888 0 3 female NaN 1 2 23.4500 S Third \n",
"889 1 1 male 26.0 0 0 30.0000 C First \n",
"890 0 3 male 32.0 0 0 7.7500 Q Third \n",
"\n",
" who adult_male deck embark_town alive alone \n",
"0 man True NaN Southampton no False \n",
"1 woman False C Cherbourg yes False \n",
"2 woman False NaN Southampton yes True \n",
"3 woman False C Southampton yes False \n",
"4 man True NaN Southampton no True \n",
".. ... ... ... ... ... ... \n",
"886 man True NaN Southampton no True \n",
"887 woman False B Southampton yes True \n",
"888 woman False NaN Southampton no False \n",
"889 man True C Cherbourg yes True \n",
"890 man True NaN Queenstown no True \n",
"\n",
"[891 rows x 15 columns]"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"titanic = sns.load_dataset('titanic')\n",
"titanic"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Initial Example\n",
"\n",
"This is the chart for the initial example - same as from the Charting notebook:"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.catplot('class', 'survived', data=titanic, kind='bar', color='firebrick', height=5, aspect=1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Pseudo-3D\n",
"\n",
"Psuedo-3D charts plot two explanatory variables on the *x* and *y* axes, use another means to indicate the response variable.\n",
"\n",
"For this, we are going to use the RottenTomatoes all-critics and audience scores, and we want to see the *joint distribution*: how frequently do different combinations of critic and audience scores appear?\n",
"\n",
"We'll start with the scatter plot, just to show its clutter:"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.scatterplot('All Critics', 'Audience', data=movie_scores)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Zeros look odd here - since there are no missing values, and there's a huge gap between zero and the first actual score, it looks more likely that zeros are missing data. Let's treat them as such:"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
All Critics
\n",
"
Top Critics
\n",
"
Audience
\n",
"
\n",
" \n",
" \n",
"
\n",
"
count
\n",
"
8441.000000
\n",
"
4662.000000
\n",
"
7345.000000
\n",
"
\n",
"
\n",
"
mean
\n",
"
6.068404
\n",
"
5.930330
\n",
"
3.389258
\n",
"
\n",
"
\n",
"
std
\n",
"
1.526898
\n",
"
1.534093
\n",
"
0.454034
\n",
"
\n",
"
\n",
"
min
\n",
"
1.200000
\n",
"
1.600000
\n",
"
1.500000
\n",
"
\n",
"
\n",
"
25%
\n",
"
5.000000
\n",
"
4.800000
\n",
"
3.100000
\n",
"
\n",
"
\n",
"
50%
\n",
"
6.200000
\n",
"
6.100000
\n",
"
3.400000
\n",
"
\n",
"
\n",
"
75%
\n",
"
7.200000
\n",
"
7.100000
\n",
"
3.700000
\n",
"
\n",
"
\n",
"
max
\n",
"
9.600000
\n",
"
10.000000
\n",
"
5.000000
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" All Critics Top Critics Audience\n",
"count 8441.000000 4662.000000 7345.000000\n",
"mean 6.068404 5.930330 3.389258\n",
"std 1.526898 1.534093 0.454034\n",
"min 1.200000 1.600000 1.500000\n",
"25% 5.000000 4.800000 3.100000\n",
"50% 6.200000 6.100000 3.400000\n",
"75% 7.200000 7.100000 3.700000\n",
"max 9.600000 10.000000 5.000000"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"movie_scores[movie_scores == 0] = np.nan\n",
"movie_scores.describe()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we have missing values! The assignment did a couple of things:\n",
"\n",
"1. Create a data frame with all logical columns, that is `True` everywhere a score is 0 (vectorization works in more than one dimension!)\n",
"2. Use it as a mask, to set all values where it's `True` to Not a Number (Pandas' missing-data signal)\n",
"\n",
"Then we look at the description, and we see counts that indicate a lot of missing data."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We're going to focus on all critics and audience, so let's drop top critics, and drop all rows without values for both all critics and audience, since they will be unplottable:"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"ms_trimmed = movie_scores[['All Critics', 'Audience']].rename(columns={\n",
" 'All Critics': 'Critics'\n",
"}).dropna()"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.scatterplot('Critics', 'Audience', data=ms_trimmed)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This has less funny business going on, but also is super cluttered - we see a mass, but how does the relative distribution of dots in different parts of the mass *actually* differ? It's just a blob."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Contour Plot\n",
"\n",
"A contour plot shows how frequent different points in a 2D space are, using contour lines (like topographic maps).\n",
"\n",
"Seaborn does this with the two-parameter `kdeplot`. Unlike many other methods, `kdeplot` doesn't know how to extract columns from data frames."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.kdeplot(ms_trimmed['Critics'], ms_trimmed['Audience'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The peak is at about $(7,3.5)$."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Heat Map\n",
"\n",
"Now let's do a heat map. Seaborn heat maps require us to pre-compute the different values, and can display arbitrary statistics. The heat map actually wants a 2D data structure. So we're going to:\n",
"\n",
"* Bin values - critics to whole stars, audience to half.\n",
" * Critics: round\n",
" * Audience: multiply by 2, round, divide by 2\n",
"* Use `pivot_table` to count values in each combination of rounded audience ratings. The `pivot_table` method requires a value column to aggregate, so we'll make a column filled with 1s."
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
Critics
\n",
"
Audience
\n",
"
\n",
"
\n",
"
id
\n",
"
\n",
"
\n",
"
\n",
" \n",
" \n",
"
\n",
"
1
\n",
"
9.0
\n",
"
3.5
\n",
"
\n",
"
\n",
"
2
\n",
"
6.0
\n",
"
3.0
\n",
"
\n",
"
\n",
"
3
\n",
"
6.0
\n",
"
3.0
\n",
"
\n",
"
\n",
"
4
\n",
"
6.0
\n",
"
3.5
\n",
"
\n",
"
\n",
"
5
\n",
"
5.0
\n",
"
3.0
\n",
"
\n",
"
\n",
"
...
\n",
"
...
\n",
"
...
\n",
"
\n",
"
\n",
"
65037
\n",
"
6.0
\n",
"
4.0
\n",
"
\n",
"
\n",
"
65088
\n",
"
4.0
\n",
"
3.5
\n",
"
\n",
"
\n",
"
65091
\n",
"
7.0
\n",
"
3.5
\n",
"
\n",
"
\n",
"
65126
\n",
"
6.0
\n",
"
3.5
\n",
"
\n",
"
\n",
"
65130
\n",
"
7.0
\n",
"
3.5
\n",
"
\n",
" \n",
"
\n",
"
7212 rows × 2 columns
\n",
"
"
],
"text/plain": [
" Critics Audience\n",
"id \n",
"1 9.0 3.5\n",
"2 6.0 3.0\n",
"3 6.0 3.0\n",
"4 6.0 3.5\n",
"5 5.0 3.0\n",
"... ... ...\n",
"65037 6.0 4.0\n",
"65088 4.0 3.5\n",
"65091 7.0 3.5\n",
"65126 6.0 3.5\n",
"65130 7.0 3.5\n",
"\n",
"[7212 rows x 2 columns]"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ms_bins = pd.DataFrame({\n",
" 'Critics': ms_trimmed['Critics'].round(),\n",
" 'Audience': (ms_trimmed['Audience'] * 2).round() / 2\n",
"})\n",
"ms_bins"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we pivot, and the `droplevel` method gets rid of the extra level of the column index (try without it and see what happens!)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.pointplot('class', 'survived', data=titanic, hue='sex', join=False)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Breaking Down by More Things\n",
"\n",
"We're going to show survival rate by:\n",
"\n",
"- age\n",
"- sex\n",
"- class"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The chart look really noisy with raw age, so we're going to bin into 10-year bands:"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [],
"source": [
"titanic['agebin'] = titanic['age'].round(-1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Then we compute the rate for each point:"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
class
\n",
"
sex
\n",
"
agebin
\n",
"
Survival
\n",
"
\n",
" \n",
" \n",
"
\n",
"
0
\n",
"
Third
\n",
"
female
\n",
"
0.0
\n",
"
0.733333
\n",
"
\n",
"
\n",
"
1
\n",
"
Third
\n",
"
female
\n",
"
10.0
\n",
"
0.166667
\n",
"
\n",
"
\n",
"
2
\n",
"
Third
\n",
"
female
\n",
"
20.0
\n",
"
0.526316
\n",
"
\n",
"
\n",
"
3
\n",
"
Third
\n",
"
female
\n",
"
30.0
\n",
"
0.476190
\n",
"
\n",
"
\n",
"
4
\n",
"
Third
\n",
"
female
\n",
"
40.0
\n",
"
0.230769
\n",
"
\n",
"
\n",
"
5
\n",
"
Third
\n",
"
female
\n",
"
50.0
\n",
"
0.000000
\n",
"
\n",
"
\n",
"
6
\n",
"
Third
\n",
"
female
\n",
"
60.0
\n",
"
1.000000
\n",
"
\n",
"
\n",
"
7
\n",
"
Third
\n",
"
male
\n",
"
0.0
\n",
"
0.384615
\n",
"
\n",
"
\n",
"
8
\n",
"
Third
\n",
"
male
\n",
"
10.0
\n",
"
0.285714
\n",
"
\n",
"
\n",
"
9
\n",
"
Third
\n",
"
male
\n",
"
20.0
\n",
"
0.107843
\n",
"
\n",
"
\n",
"
10
\n",
"
Third
\n",
"
male
\n",
"
30.0
\n",
"
0.211268
\n",
"
\n",
"
\n",
"
11
\n",
"
Third
\n",
"
male
\n",
"
40.0
\n",
"
0.078947
\n",
"
\n",
"
\n",
"
12
\n",
"
Third
\n",
"
male
\n",
"
50.0
\n",
"
0.000000
\n",
"
\n",
"
\n",
"
13
\n",
"
Third
\n",
"
male
\n",
"
60.0
\n",
"
0.000000
\n",
"
\n",
"
\n",
"
14
\n",
"
Third
\n",
"
male
\n",
"
70.0
\n",
"
0.000000
\n",
"
\n",
"
\n",
"
15
\n",
"
First
\n",
"
female
\n",
"
0.0
\n",
"
0.000000
\n",
"
\n",
"
\n",
"
16
\n",
"
First
\n",
"
female
\n",
"
10.0
\n",
"
1.000000
\n",
"
\n",
"
\n",
"
17
\n",
"
First
\n",
"
female
\n",
"
20.0
\n",
"
0.961538
\n",
"
\n",
"
\n",
"
18
\n",
"
First
\n",
"
female
\n",
"
30.0
\n",
"
1.000000
\n",
"
\n",
"
\n",
"
19
\n",
"
First
\n",
"
female
\n",
"
40.0
\n",
"
1.000000
\n",
"
\n",
"
\n",
"
20
\n",
"
First
\n",
"
female
\n",
"
50.0
\n",
"
0.923077
\n",
"
\n",
"
\n",
"
21
\n",
"
First
\n",
"
female
\n",
"
60.0
\n",
"
1.000000
\n",
"
\n",
"
\n",
"
22
\n",
"
First
\n",
"
male
\n",
"
0.0
\n",
"
1.000000
\n",
"
\n",
"
\n",
"
23
\n",
"
First
\n",
"
male
\n",
"
10.0
\n",
"
1.000000
\n",
"
\n",
"
\n",
"
24
\n",
"
First
\n",
"
male
\n",
"
20.0
\n",
"
0.363636
\n",
"
\n",
"
\n",
"
25
\n",
"
First
\n",
"
male
\n",
"
30.0
\n",
"
0.500000
\n",
"
\n",
"
\n",
"
26
\n",
"
First
\n",
"
male
\n",
"
40.0
\n",
"
0.481481
\n",
"
\n",
"
\n",
"
27
\n",
"
First
\n",
"
male
\n",
"
50.0
\n",
"
0.363636
\n",
"
\n",
"
\n",
"
28
\n",
"
First
\n",
"
male
\n",
"
60.0
\n",
"
0.125000
\n",
"
\n",
"
\n",
"
29
\n",
"
First
\n",
"
male
\n",
"
70.0
\n",
"
0.000000
\n",
"
\n",
"
\n",
"
30
\n",
"
First
\n",
"
male
\n",
"
80.0
\n",
"
1.000000
\n",
"
\n",
"
\n",
"
31
\n",
"
Second
\n",
"
female
\n",
"
0.0
\n",
"
1.000000
\n",
"
\n",
"
\n",
"
32
\n",
"
Second
\n",
"
female
\n",
"
10.0
\n",
"
1.000000
\n",
"
\n",
"
\n",
"
33
\n",
"
Second
\n",
"
female
\n",
"
20.0
\n",
"
0.947368
\n",
"
\n",
"
\n",
"
34
\n",
"
Second
\n",
"
female
\n",
"
30.0
\n",
"
0.916667
\n",
"
\n",
"
\n",
"
35
\n",
"
Second
\n",
"
female
\n",
"
40.0
\n",
"
0.857143
\n",
"
\n",
"
\n",
"
36
\n",
"
Second
\n",
"
female
\n",
"
50.0
\n",
"
1.000000
\n",
"
\n",
"
\n",
"
37
\n",
"
Second
\n",
"
female
\n",
"
60.0
\n",
"
0.500000
\n",
"
\n",
"
\n",
"
38
\n",
"
Second
\n",
"
male
\n",
"
0.0
\n",
"
1.000000
\n",
"
\n",
"
\n",
"
39
\n",
"
Second
\n",
"
male
\n",
"
10.0
\n",
"
1.000000
\n",
"
\n",
"
\n",
"
40
\n",
"
Second
\n",
"
male
\n",
"
20.0
\n",
"
0.037037
\n",
"
\n",
"
\n",
"
41
\n",
"
Second
\n",
"
male
\n",
"
30.0
\n",
"
0.096774
\n",
"
\n",
"
\n",
"
42
\n",
"
Second
\n",
"
male
\n",
"
40.0
\n",
"
0.062500
\n",
"
\n",
"
\n",
"
43
\n",
"
Second
\n",
"
male
\n",
"
50.0
\n",
"
0.000000
\n",
"
\n",
"
\n",
"
44
\n",
"
Second
\n",
"
male
\n",
"
60.0
\n",
"
0.250000
\n",
"
\n",
"
\n",
"
45
\n",
"
Second
\n",
"
male
\n",
"
70.0
\n",
"
0.000000
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" class sex agebin Survival\n",
"0 Third female 0.0 0.733333\n",
"1 Third female 10.0 0.166667\n",
"2 Third female 20.0 0.526316\n",
"3 Third female 30.0 0.476190\n",
"4 Third female 40.0 0.230769\n",
"5 Third female 50.0 0.000000\n",
"6 Third female 60.0 1.000000\n",
"7 Third male 0.0 0.384615\n",
"8 Third male 10.0 0.285714\n",
"9 Third male 20.0 0.107843\n",
"10 Third male 30.0 0.211268\n",
"11 Third male 40.0 0.078947\n",
"12 Third male 50.0 0.000000\n",
"13 Third male 60.0 0.000000\n",
"14 Third male 70.0 0.000000\n",
"15 First female 0.0 0.000000\n",
"16 First female 10.0 1.000000\n",
"17 First female 20.0 0.961538\n",
"18 First female 30.0 1.000000\n",
"19 First female 40.0 1.000000\n",
"20 First female 50.0 0.923077\n",
"21 First female 60.0 1.000000\n",
"22 First male 0.0 1.000000\n",
"23 First male 10.0 1.000000\n",
"24 First male 20.0 0.363636\n",
"25 First male 30.0 0.500000\n",
"26 First male 40.0 0.481481\n",
"27 First male 50.0 0.363636\n",
"28 First male 60.0 0.125000\n",
"29 First male 70.0 0.000000\n",
"30 First male 80.0 1.000000\n",
"31 Second female 0.0 1.000000\n",
"32 Second female 10.0 1.000000\n",
"33 Second female 20.0 0.947368\n",
"34 Second female 30.0 0.916667\n",
"35 Second female 40.0 0.857143\n",
"36 Second female 50.0 1.000000\n",
"37 Second female 60.0 0.500000\n",
"38 Second male 0.0 1.000000\n",
"39 Second male 10.0 1.000000\n",
"40 Second male 20.0 0.037037\n",
"41 Second male 30.0 0.096774\n",
"42 Second male 40.0 0.062500\n",
"43 Second male 50.0 0.000000\n",
"44 Second male 60.0 0.250000\n",
"45 Second male 70.0 0.000000"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"rate = titanic.groupby(['class', 'sex', 'agebin'], observed=True)['survived'].mean().reset_index(name='Survival')\n",
"rate"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And plot:"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"