Discrete Frequency in Python/v3
Learn how to perform discrete frequency analysis using Python.
Note: this page is part of the documentation for version 3 of Plotly.py, which is not the most recent version.
See our Version 4 Migration Guide for information about how to upgrade.
See our Version 4 Migration Guide for information about how to upgrade.
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In [1]:
import plotly.plotly as py
import plotly.graph_objs as go
from plotly.tools import FigureFactory as FF
import numpy as np
import pandas as pd
import scipy
Import Data¶
We will import a dataset to perform our discrete frequency analysis on. We will look at the consumption of alcohol by country in 2010.
In [2]:
data = pd.read_csv('https://raw.githubusercontent.com/plotly/datasets/master/2010_alcohol_consumption_by_country.csv')
df = data[0:10]
table = FF.create_table(df)
py.iplot(table, filename='alcohol-data-sample')
Out[2]:
Probability Distribution¶
We can produce a histogram plot of the data with the y-axis representing the probability distribution of the data.
In [3]:
x = data['alcohol'].values.tolist()
trace = go.Histogram(x=x, histnorm='probability',
xbins=dict(start=np.min(x),
size=0.25,
end=np.max(x)),
marker=dict(color='rgb(25, 25, 100)'))
layout = go.Layout(
title="Histogram with Probability Distribution"
)
fig = go.Figure(data=go.Data([trace]), layout=layout)
py.iplot(fig, filename='histogram-prob-dist')
Out[3]:
Frequency Counts¶
In [4]:
trace = go.Histogram(x=x,
xbins=dict(start=np.min(x),
size=0.25,
end=np.max(x)),
marker=dict(color='rgb(25, 25, 100)'))
layout = go.Layout(
title="Histogram with Frequency Count"
)
fig = go.Figure(data=go.Data([trace]), layout=layout)
py.iplot(fig, filename='histogram-discrete-freq-count')
Out[4]:
Percentage¶
In [5]:
trace = go.Histogram(x=x, histnorm='percent',
xbins=dict(start=np.min(x),
size=0.25,
end=np.max(x)),
marker=dict(color='rgb(50, 50, 125)'))
layout = go.Layout(
title="Histogram with Frequency Count"
)
fig = go.Figure(data=go.Data([trace]), layout=layout)
py.iplot(fig, filename='histogram-percentage')
Out[5]:
Cumulative Density Function¶
We can also take the cumulatve sum of our dataset and then plot the cumulative density function, or CDF
, as a scatter plot
In [6]:
cumsum = np.cumsum(x)
trace = go.Scatter(x=[i for i in range(len(cumsum))], y=10*cumsum/np.linalg.norm(cumsum),
marker=dict(color='rgb(150, 25, 120)'))
layout = go.Layout(
title="Cumulative Distribution Function"
)
fig = go.Figure(data=go.Data([trace]), layout=layout)
py.iplot(fig, filename='cdf-dataset')
Out[6]: