avatarNaina Chaturvedi

Summary

The provided content outlines Day 25 of a 30-day Data Analytics series, focusing on implementing a project that covers summary functions, indexing, grouping, sorting, data profiling, categorical and numerical features, missing value analysis, unique value analysis, data visualization, and correlation coefficients.

Abstract

The web content describes the twenty-fifth day of a comprehensive Data Analytics project series, which delves into various data analysis techniques and their practical applications. It emphasizes the importance of summary functions to provide an overview of data distribution, indexing for efficient data access, and grouping for subgroup analysis. The content also discusses sorting data, profiling data to understand its characteristics, and distinguishing between categorical and numerical features. A significant portion of the content is dedicated to handling missing data, analyzing unique values, visualizing data effectively, and understanding the strength and direction of relationships between variables through correlation coefficients. The day's learning is supplemented with example code implementations using Python libraries such as pandas, NumPy, and seaborn, and it concludes with a preview of the next topic, Power BI. Additionally, the content includes a recap of previous days' topics and links to other educational series and resources.

Opinions

  • The author values the importance of a hands-on approach to learning data analytics, as evidenced by the inclusion of practical coding examples and projects.
  • There is an emphasis on the comprehensive nature of the series, with the author ensuring that readers are exposed to a wide range of essential data analytics concepts and techniques.
  • The author believes in the utility of visual aids, encouraging the use of data visualization to make data easier to understand and interpret.
  • The content suggests that the author is committed to providing ongoing learning resources, as indicated by the mention of upcoming topics and the promotion of a newsletter for further tech insights.
  • The author's opinion on the significance of understanding data types is clear, with a distinction made between categorical and numerical features and their respective analyses.
  • There is an underlying opinion that mastery of data analytics involves not only theoretical knowledge but also practical experience with real-world datasets and tools.

Project 11 — Day 25 of 30 days of Data Analytics with Projects Series

Welcome back peep. Hope all’s well. This is Day 25 of 30 days of data analytics where we will be implementing a project covering —

Summary Functions

Indexing

Grouping

Sorting

Data Profiling

Categorical and Numerical Features

Missing Value Analysis

Unique Value Analysis

Data Visualization

Correlation Coefficients

Spearman’s ρ

Pearson’s r

Kendall’s τ

Cramér’s V (φc)

Phik (φk)

Let’s cover the most important concepts in brief —

  • Summary functions, such as mean and standard deviation, provide a quick overview of the distribution of a dataset’s numerical features.
  • Indexing allows for easy access and manipulation of specific rows or columns in a dataset.
  • Grouping separates a dataset into smaller groups based on one or more features, allowing for analysis of subgroups within the larger dataset.
  • Sorting rearranges the rows of a dataset in a specific order, such as by a certain feature’s values.
  • Data profiling is the process of examining the properties and characteristics of a dataset, including missing values, unique values, and the data types of each feature.
  • Categorical and numerical features are two types of data, where categorical features are non-numerical and numerical features are numerical.
  • Missing value analysis examines and deals with missing or null values in a dataset, such as through imputation or removal.
  • Unique value analysis examines the number and values of unique entries in a feature.
  • Data visualization is the process of creating graphical representations of data, such as charts and plots, to make it easier to understand and interpret.
  • Correlation coefficients are statistical measures that indicate the strength and direction of a linear relationship between two variables.
  • Pearson’s r measures the linear correlation between two variables.
  • Spearman’s ρ and Kendall’s τ are non-parametric measures of rank correlation.
  • Cramer’s V (φc) is a measure of association for categorical variables.
  • Phik (φk) is a measure of association for categorical variables for k categories.

Example Code Implementation —

import pandas as pd
import numpy as np
import seaborn as sns

# Create a sample dataset
data = pd.DataFrame({
    'Feature1': [1, 2, 3, 4, np.nan, 6, 7, 8, 9, 10],
    'Feature2': ['A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J'],
    'Feature3': [10, 20, 30, 40, 50, 60, 70, 80, 90, 100]
})

# Summary functions
mean = data['Feature1'].mean()
std_dev = data['Feature1'].std()

# Indexing
subset = data.loc[3:7, ['Feature2', 'Feature3']]

# Grouping
grouped_data = data.groupby('Feature2').mean()

# Sorting
sorted_data = data.sort_values('Feature1')

# Data profiling
missing_values = data.isnull().sum()
unique_values = data.nunique()
data_types = data.dtypes

# Categorical and numerical features
categorical_features = data.select_dtypes(include=['object'])
numerical_features = data.select_dtypes(include=['int', 'float'])

# Missing value analysis
data_without_missing = data.dropna()
imputed_data = data.fillna(data.mean())

# Unique value analysis
unique_entries = data['Feature2'].unique()

# Data visualization
sns.histplot(data['Feature1'])
sns.scatterplot(x='Feature1', y='Feature3', data=data)

# Correlation coefficients
pearson_corr = data['Feature1'].corr(data['Feature3'], method='pearson')
spearman_corr = data['Feature1'].corr(data['Feature3'], method='spearman')
kendall_corr = data['Feature1'].corr(data['Feature3'], method='kendall')
cramer_v = pd.crosstab(data['Feature2'], data['Feature3']).apply(lambda x: x/sum(x)).sum().sum()

print("Mean:", mean)
print("Standard Deviation:", std_dev)
print("\nSubset of Data:\n", subset)
print("\nGrouped Data:\n", grouped_data)
print("\nSorted Data:\n", sorted_data)
print("\nMissing Values:\n", missing_values)
print("\nUnique Values:\n", unique_values)
print("\nData Types:\n", data_types)
print("\nCategorical Features:\n", categorical_features)
print("\nNumerical Features:\n", numerical_features)
print("\nData without Missing Values:\n", data_without_missing)
print("\nImputed Data:\n", imputed_data)
print("\nUnique Entries:\n", unique_entries)
print("\nPearson Correlation:", pearson_corr)
print("Spearman Correlation:", spearman_corr)
print("Kendall Correlation:", kendall_corr)
print("Cramer's V:", cramer_v)

Snippet —

What’s covered in 30 days of Data Analytics Series till now —

Day 1 : Data Analytics basics and kickstart of Data analytics with projects series

Day 2: Business Understanding — Data Driven Decision Making, Descriptive Analysis, Predictive Analysis, Diagnostic Analysis, Prescriptive Analysis

Day 3 : Data Analytics Ecosystem — Data Life Cycle, Data Analysis complete process ( most important things)

Day 4 : Probability, Conditional Probability, Binomial Distribution, Probability Density Function, Sampling Distribution

Day 5 : Statistics

Day 6 : Basic and Advanced SQL

Day 7 : Data Collection, Data Cleaning and Python

Day 8 : Pandas and Numpy

Day 9 : Data Manipulation

Day 10 : Data Visualization — Part 1

Day 11 : Project 1 : Data Visualization — Part 2

Day 12 : Data Visualization — Part 3

Day 13: Tableau — Part 1

Day 14: Tableau — Part 2

Day 15: Tableau — Part 3

Tableau Project

Day 16 : Data Analysis Project 2

Day 17 : Data Analysis Project 3

Day 18: Data Analysis Project 4

Day 19: Data Analysis Project 5

Day 20 : Data Analysis Project 6

Categorical and Numerical Features

Missing Value Analysis

Fill the missing Values

Unique Value Analysis

Univariate Analysis

Bivariate Analysis

Multivariate Analysis

Correlation Analysis

Day 21 : Data Analysis Project 7

Data Profiling

Feature Engineering

GroupBy Features

Categorical and Numerical Features

Missing Value Analysis

Fill the missing Values

Unique Value Analysis

Univariate Analysis

Bivariate Analysis

Multivariate Analysis

Correlation Analysis

Day 22 : Data analysis Project 8

Linear Regression

Data Profiling

Feature Engineering

Sort Values

Categorical and Numerical Features

Missing Value Analysis

Unique Value Analysis

Univariate Analysis

Bivariate Analysis

Multivariate Analysis

Correlation Analysis

Correlation Coefficients

Day 25 : Data Analysis Day 11

Summary Functions

Indexing

Grouping

Sorting

Data Profiling

Categorical and Numerical Features

Missing Value Analysis

Unique Value Analysis

Data Visualization

Take Complete Hands On Tableau Course : Link

Projects Videos —

All the projects, data structures, SQL, algorithms, system design, Data Science and ML , Data Analytics, Data Engineering, , Implemented Data Science and ML projects, Implemented Data Engineering Projects, Implemented Deep Learning Projects, Implemented Machine Learning Ops Projects, Implemented Time Series Analysis and Forecasting Projects, Implemented Applied Machine Learning Projects, Implemented Tensorflow and Keras Projects, Implemented PyTorch Projects, Implemented Scikit Learn Projects, Implemented Big Data Projects, Implemented Cloud Machine Learning Projects, Implemented Neural Networks Projects, Implemented OpenCV Projects,Complete ML Research Papers Summarized, Implemented Data Analytics projects, Implemented Data Visualization Projects, Implemented Data Mining Projects, Implemented Natural Leaning Processing Projects, MLOps and Deep Learning, Applied Machine Learning with Projects Series, PyTorch with Projects Series, Tensorflow and Keras with Projects Series, Scikit Learn Series with Projects, Time Series Analysis and Forecasting with Projects Series, ML System Design Case Studies Series videos will be published on our youtube channel ( just launched).

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Tech Newsletter —

If you are interested, you can join my newsletter through which I send tech interview tips, techniques, patterns, hacks — Software Development, ML, Data Science, Startups and Technology projects to more than 30K readers. You can subscribe to Tech Brew :

In the last post we covered Data Visualization and in this post we will cover a project.

Pre-requisite —

Before starting, go through this post to understand charts/plots and which chart to use and when.

(Note : Zoom all the images)

Import Necessary Libraries

import numpy as np # linear algebra
import pandas as pd # data processing, CSV file I/O (e.g. pd.read_csv)
import seaborn as sns
import pandas_profiling
from matplotlib import pyplot as plt

from matplotlib.colors import rgb2hex
import matplotlib.cm as cm
import matplotlib.colors 
from collections import Counter
cmap2 = cm.get_cmap('twilight',13)
colors1= []
for i in range(cmap2.N):
    rgb= cmap2(i)[:4]
    colors1.append(rgb2hex(rgb))



# Set style
sns.set(style='whitegrid')

Load data and get information

#Load the data 
df= pd.read_csv('/Path to file/dataset.csv', low_memory = False)
#Get information about your data
df.info()

Output —

<class 'pandas.core.frame.DataFrame'>
Int64Index: 129971 entries, 0 to 129970
Data columns (total 13 columns):
 #   Column                 Non-Null Count   Dtype  
---  ------                 --------------   -----  
 0   country                129908 non-null  object 
 1   description            129971 non-null  object 
 2   designation            92506 non-null   object 
 3   points                 129971 non-null  int64  
 4   price                  120975 non-null  float64
 5   province               129908 non-null  object 
 6   region_1               108724 non-null  object 
 7   region_2               50511 non-null   object 
 8   taster_name            103727 non-null  object 
 9   taster_twitter_handle  98758 non-null   object 
 10  title                  129971 non-null  object 
 11  variety                129970 non-null  object 
 12  winery                 129971 non-null  object 
dtypes: float64(1), int64(1), object(11)
memory usage: 13.9+ MB
# Get Columns information
df.columns

Output —

Index(['country', 'description', 'designation', 'points', 'price', 'province',
       'region_1', 'region_2', 'taster_name', 'taster_twitter_handle', 'title',
       'variety', 'winery'],
      dtype='object')

Data Description

  • country : The country that the wine is from
  • designation :The vineyard within the winery where the grapes that made the wine are from
  • points : The number of points WineEnthusiast rated the wine on a scale of 1–100
  • price : The cost for a bottle of the wine
  • province : The province or state that the wine is from
  • region_1 : The wine growing area in a province or state
  • region_2 : More specific regions specified within a wine growing area

Statistical Summary of the data

df.describe()

Categorical and Numerical Features

Categorical features are those values that be sorted into groups or categories.

Numerical Features are those values that can be measures (can be places in ascending or descending order)

Pic credits : statology

For this, lets get the Categorical and Numerical Features —

df.info()

Output —

<class 'pandas.core.frame.DataFrame'>
Int64Index: 129971 entries, 0 to 129970
Data columns (total 13 columns):
 #   Column                 Non-Null Count   Dtype  
---  ------                 --------------   -----  
 0   country                129908 non-null  object 
 1   description            129971 non-null  object 
 2   designation            92506 non-null   object 
 3   points                 129971 non-null  int64  
 4   price                  120975 non-null  float64
 5   province               129908 non-null  object 
 6   region_1               108724 non-null  object 
 7   region_2               50511 non-null   object 
 8   taster_name            103727 non-null  object 
 9   taster_twitter_handle  98758 non-null   object 
 10  title                  129971 non-null  object 
 11  variety                129970 non-null  object 
 12  winery                 129971 non-null  object 
dtypes: float64(1), int64(1), object(11)
memory usage: 13.9+ MB

You can see , in our dataset —

Categorical Features are Country, Description, Designation, Province, Region_1, Region_2, Taster Name, Taster Twitter Handle, Title, variety, Winery

Numerical Variable are Points, Price

Missing Value Analysis

In this we figure out the missing values in the

df.isnull().sum()

Output —

country                     63
description                  0
designation              37465
points                       0
price                     8996
province                    63
region_1                 21247
region_2                 79460
taster_name              26244
taster_twitter_handle    31213
title                        0
variety                      1
winery                       0
dtype: int64

One can also calculate the percentage of missing values out of the total.

p = (df.isnull().sum()/df.isnull().count()).sort_values(ascending=False)
t = df.isnull().sum().sort_values(ascending=False)
m_data = pd.concat([t, p], axis=1, keys=['Total', 'Percent'])
m_data.head(10)

Output —

Unique Value Analysis

One can get the count of the unique values for each column in your data —

for i in list(df.columns):
    print("{} -> {}".format(i, df[i].value_counts().shape[0]))

Output —

country -> 43
description -> 119955
designation -> 37979
points -> 21
price -> 390
province -> 425
region_1 -> 1229
region_2 -> 17
taster_name -> 19
taster_twitter_handle -> 15
title -> 118840
variety -> 707
winery -> 16757

Summary Functions

In layman terms, Summary functions help you summarize the data.

  • sum() : To compute the sum of a specific Column.
  • min() : To compute minimum value of each Column
  • max() : To compute maximum value of each Column
  • std() : To compute Standard Deviation of each column
  • var() : To Compute variance of each column
  • describe() : To compute statistical summary
  • count() : To count elements by elements.
  • value_count() : To count value in column
  • mean() : To Compute Mean of each column
  • median() : Compute Median of each column

Implementation —

df.points.describe()

Output —

count    129971.000000
mean         88.447138
std           3.039730
min          80.000000
25%          86.000000
50%          88.000000
75%          91.000000
max         100.000000
Name: points, dtype: float64
df.taster_name.describe()

Output —

count         103727
unique            19
top       Roger Voss
freq           25514
Name: taster_name, dtype: object
df.taster_name.unique()

Output —

array(['Kerin O’Keefe', 'Roger Voss', 'Paul Gregutt',
       'Alexander Peartree', 'Michael Schachner', 'Anna Lee C. Iijima',
       'Virginie Boone', 'Matt Kettmann', nan, 'Sean P. Sullivan',
       'Jim Gordon', 'Joe Czerwinski', 'Anne Krebiehl\xa0MW',
       'Lauren Buzzeo', 'Mike DeSimone', 'Jeff Jenssen',
       'Susan Kostrzewa', 'Carrie Dykes', 'Fiona Adams',
       'Christina Pickard'], dtype=object)
df.taster_name.value_counts()

Output —

Roger Voss            25514
Michael Schachner     15134
Kerin O’Keefe         10776
Virginie Boone         9537
Paul Gregutt           9532
Matt Kettmann          6332
Joe Czerwinski         5147
Sean P. Sullivan       4966
Anna Lee C. Iijima     4415
Jim Gordon             4177
Anne Krebiehl MW       3685
Lauren Buzzeo          1835
Susan Kostrzewa        1085
Mike DeSimone           514
Jeff Jenssen            491
Alexander Peartree      415
Carrie Dykes            139
Fiona Adams              27
Christina Pickard         6
Name: taster_name, dtype: int64

Indexing

# Set Index

df.set_index("title")

Output —

df.loc[(df.country == 'France') & (df.points >= 70)]

Output —

Group by and Sorting

  • Split Object
  • Applying group by Function

Using Group by you can group by the different features/columns and simultaneously sort the values in ascending and descending order.

df.groupby(['variety', 'province']).apply(lambda df: df.loc[df.points.idxmax()])

Output —

df.groupby(['variety']).price.agg([len, min, max])

Output —

variety_p = df.groupby(['variety', 'province']).description.agg([len])
variety_p

Output —

variety_p.sort_values(by='len', ascending=False)

Output —

Data Viz

# Country Percentage

df['cntry'] = df['country'].head(10)

plt.figure(figsize=(25,12))
p_r = df['cntry'].value_counts().head(10)
plt.pie(x=p_r,labels=p_r.index,colors=colors1,autopct='%.0f%%',explode=[0.07 for i in p_r.index],startangle=180,wedgeprops={'linewidth':1,'edgecolor':'black'},shadow=True)
plt.title('Country percentage ')
plt.legend(loc='upper right',title='Country')


plt.show()

Output —

# Variety Percentage

df['vtr'] = df['variety'].head(10)

plt.figure(figsize=(25,12))
p_r = df['vtr'].value_counts().head(10)
plt.pie(x=p_r,labels=p_r.index,colors=colors1,autopct='%.0f%%',explode=[0.07 for i in p_r.index],startangle=180,wedgeprops={'linewidth':1,'edgecolor':'black'},shadow=True)
plt.title('Variety percentage ')
plt.legend(loc='upper right',title='Variety')


plt.show()

Output —

Data Profiling

It is used to generate profile reports from the input data.

The statistics include

Descriptive Statistics and Quantile Statistics.

Descriptive stats — Standard deviation, Kurtosis, mean, skewness, variance etc

Quantile Statistics — Min-max, percentiles, median, IQR etc

df.profile_report()

Output —

Correlation Coefficients

It’s the measure of the strength of the relationship between two variables.

Pic credits : cumath

Spearman’s ρ

The Spearman’s rank correlation coefficient (ρ) is a measure of monotonic correlation between two variables, and is therefore better in catching nonlinear monotonic correlations than Pearson’s r. It’s value lies between -1 and +1, -1 indicating total negative monotonic correlation, 0 indicating no monotonic correlation and 1 indicating total positive monotonic correlation.

To calculate ρ for two variables X and Y, one divides the covariance of the rank variables of X and Y by the product of their standard deviations.

Pearson’s r

The Pearson’s correlation coefficient (r) is a measure of linear correlation between two variables. It’s value lies between -1 and +1, -1 indicating total negative linear correlation, 0 indicating no linear correlation and 1 indicating total positive linear correlation. Furthermore, r is invariant under separate changes in location and scale of the two variables, implying that for a linear function the angle to the x-axis does not affect r.

To calculate r for two variables X and Y, one divides the covariance of X and Y by the product of their standard deviations.

Kendall’s τ

Similarly to Spearman’s rank correlation coefficient, the Kendall rank correlation coefficient (τ) measures ordinal association between two variables. It’s value lies between -1 and +1, -1 indicating total negative correlation, 0 indicating no correlation and 1 indicating total positive correlation.

To calculate τ for two variables X and Y, one determines the number of concordant and discordant pairs of observations. τ is given by the number of concordant pairs minus the discordant pairs divided by the total number of pairs.

Cramér’s V (φc)

Cramér’s V is an association measure for nominal random variables. The coefficient ranges from 0 to 1, with 0 indicating independence and 1 indicating perfect association. The empirical estimators used for Cramér’s V have been proved to be biased, even for large samples.

Phik (φk)

Phik (φk) is a new and practical correlation coefficient that works consistently between categorical, ordinal and interval variables, captures non-linear dependency and reverts to the Pearson correlation coefficient in case of a bivariate normal input distribution.

That’s it for now. Day 26 coming soon: Power BI.

Let me know if you have questions in the comment section below. Subscribe/ Follow, Like/Clap as it would encourage me to write more in my free time

Stay Tuned!!

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5. Caching, Indexing, Proxies

6. Networking, How Browsers work, Content Network Delivery ( CDN)

7. Database Sharding, CAP Theorem, Database schema Design

8. Concurrency, API, Components + OOP + Abstraction

9. Estimation and Planning, Performance

10. Map Reduce, Patterns and Microservices

11. SQL vs NoSQL and Cloud

12. Most Popular System Design Questions

13. System Design Template — How to solve any System Design Question

14. Quick RoundUp : Solved System Design Case Studies

System Design Case Studies — In Depth

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Divide and Conquer Technique

Recursion

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Tech Newsletter —

If you are interested, you can join my newsletter through which I send tech interview tips, techniques, patterns, hacks — Software Development, ML, Data Science, Startups and Technology projects to more than 30K readers. You can subscribe to Tech Brew :

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