Search icon CANCEL
Subscription
0
Cart icon
Your Cart (0 item)
Close icon
You have no products in your basket yet
Arrow left icon
Explore Products
Best Sellers
New Releases
Books
Videos
Audiobooks
Learning Hub
Newsletter Hub
Free Learning
Arrow right icon
timer SALE ENDS IN
0 Days
:
00 Hours
:
00 Minutes
:
00 Seconds
Mathematica Data Analysis
Mathematica Data Analysis

Mathematica Data Analysis: Learn and explore the fundamentals of data analysis with power of Mathematica

eBook
€15.99 €23.99
Paperback
€29.99
Subscription
Free Trial
Renews at €18.99p/m

What do you get with a Packt Subscription?

Free for first 7 days. $19.99 p/m after that. Cancel any time!
Product feature icon Unlimited ad-free access to the largest independent learning library in tech. Access this title and thousands more!
Product feature icon 50+ new titles added per month, including many first-to-market concepts and exclusive early access to books as they are being written.
Product feature icon Innovative learning tools, including AI book assistants, code context explainers, and text-to-speech.
Product feature icon Thousands of reference materials covering every tech concept you need to stay up to date.
Subscribe now
View plans & pricing
Table of content icon View table of contents Preview book icon Preview Book

Mathematica Data Analysis

Chapter 2. Broad Capabilities for Data Import

In order to process and analyze data, it is necessary to be able to import data into Mathematica. However, the data may not be always in a convenient format; they may contain errors, may be incomplete, or on the contrary—they may contain redundant information. Therefore, in order to learn how to import data, you will understand the following from this chapter:

  • What types of data can be imported in Mathematica?
  • What built-in functions are used for importing?
  • How to check data for completeness
  • How to clean the data and transform them into a convenient format for analysis

Permissible data format for import

Mathematica allows the importing of hundreds of data formats, but we only need some of them: those that are amenable to mathematical processing and analysis.

The main data formats can be divided into the following groups:

  • Tabular Text Formats: This includes general text format data (*.dat), comma-separated (*.csv), or tab-separated (*.tsv)
  • Spreadsheet Formats: This includes office programs data working with documents, such as Excel (*.xls and *.xlsx), Open Office (*.odc, and *.sxc), and even the first spreadsheet VisiCalc data (*.dif)
  • Data Interchange Formats: This includes the JSON format
  • Database Formats: This includes MS Access (*.mdb) and dBase (*.dbf)
  • Compression and Archive Formats: This includes the files created by archivers, such as Windows ZIP (*.zip), Unix GZIP (*.gz), Unix TAR (*.tar), and BZIP2 (*.bz2)
  • XML/HTML Formats: This includes extensions such as .xml, .xhtml, .html, and .rss

Note

Here, you may find the complete list of all the data formats...

Importing data in Mathematica

In order to import data into Mathematica, the Import function is used. Let's see how this feature is used in practice.

If you need to simply import the file, you can do it as follows:

Import["file_name"]

However, in practice, it is much more useful to use additional parameters of this function. Let's consider the following example.

Let's suppose we need to import the data on unemployment. We will take the information from the http://unstats.un.org/unsd/mbs/app/DataSearchTable.aspx page in the Topic list, select EMPLOYMENT, UNEMPLOYMENT AND EARNINGS and in the Table list select 11 Unemployment. Then, select all the countries with the Shift button. After that download data by clicking on the Get data button and then clicking on the Download in CSV button, and save it into the C:\MathData\Unemployment.csv file.

In order to import data, let's select the Import function:

Importing data in Mathematica

Note

Note that in Mathematica, \ is a special character. This is why...

Additional cleaning functions and data conversion

Let's examine additional parameters of the functions that can help when importing data. Sometimes the data can be littered or have a wrong format—for example, instead of numeric, there may appear text data or it can be missing completely.

You can control the format of the incoming data with the help of templates that are used in the Case function. For example, if you need only numeric data to be imported, then the template will look like this: x_?NumericQ.

Note

All information about data types used in Mathematica can be found at http://reference.wolfram.com/language/tutorial/PuttingConstraintsOnPatterns.html.

Let's take a wider range of data for the analysis on unemployment in a country (country, date, and unemployment rate):

Additional cleaning functions and data conversion

When you import data, it is important to check the format of the input data—for example, the number 2.3 can be identified as the string "2.3", and as a result, we are no longer able to work...

Importing strings

In particular, we should examine the ImportString function that allows you to import data from a certain format string. The following examples can help us trace function result changes depending on the type of input data.

Importing strings

Note

More information on valid formats for data import can be obtained by querying $ImportFormats in Mathematica.

Importing data from Mathematica's notebooks

In Mathematica, it is very convenient to transfer the formulas that you have used in other notebooks. This is done using the ImportNotebook function.

For example, let's create a new document using the CreateDocument function:

Importing data from Mathematica's notebooks

We have created a document in which there are only two cells to calculate—the root of 16 and the root of -6. This is a test example to demonstrate the function's capabilities. As a result, we get the following notebook:

Importing data from Mathematica's notebooks

Let's consider import options with the help of the NotebookImport function. In order to import all the notebook's parameters, just call NotebookImport with the "_" parameter:

Importing data from Mathematica's notebooks

In order to convert the values to text, you can use the _->"Text" rule:

Note

Arrows and double square brackets are input with the help of the following combination of keys: Esc - >Esc.

Importing data from Mathematica's notebooks

Let's use the "Input" parameter to get a list of cells with input data:

Importing data from Mathematica's notebooks

To import only...

Permissible data format for import


Mathematica allows the importing of hundreds of data formats, but we only need some of them: those that are amenable to mathematical processing and analysis.

The main data formats can be divided into the following groups:

  • Tabular Text Formats: This includes general text format data (*.dat), comma-separated (*.csv), or tab-separated (*.tsv)

  • Spreadsheet Formats: This includes office programs data working with documents, such as Excel (*.xls and *.xlsx), Open Office (*.odc, and *.sxc), and even the first spreadsheet VisiCalc data (*.di f)

  • Data Interchange Formats: This includes the JSON format

  • Database Formats: This includes MS Access (*.mdb) and dBase (*.dbf)

  • Compression and Archive Formats: This includes the files created by archivers, such as Windows ZIP (*.zip), Unix GZIP (*.gz), Unix TAR (*.tar), and BZIP2 (*.bz2)

  • XML/HTML Formats: This includes extensions such as .xml, .xhtml, .html, and .rss

Note

Here, you may find the complete list of all the data formats...

Importing data in Mathematica


In order to import data into Mathematica, the Import function is used. Let's see how this feature is used in practice.

If you need to simply import the file, you can do it as follows:

Import["file_name"]

However, in practice, it is much more useful to use additional parameters of this function. Let's consider the following example.

Let's suppose we need to import the data on unemployment. We will take the information from the http://unstats.un.org/unsd/mbs/app/DataSearchTable.aspx page in the Topic list, select EMPLOYMENT, UNEMPLOYMENT AND EARNINGS and in the Table list select 11 Unemployment. Then, select all the countries with the Shift button. After that download data by clicking on the Get data button and then clicking on the Download in CSV button, and save it into the C:\MathData\Unemployment.csv file.

In order to import data, let's select the Import function:

Note

Note that in Mathematica, \ is a special character. This is why in order to specify the path correctly...

Left arrow icon Right arrow icon

Key benefits

  • Use the power of Mathematica to analyze data in your applications
  • Discover the capabilities of data classification and pattern recognition offered by Mathematica
  • Use hundreds of algorithms for time series analysis to predict the future

Description

There are many algorithms for data analysis and it’s not always possible to quickly choose the best one for each case. Implementation of the algorithms takes a lot of time. With the help of Mathematica, you can quickly get a result from the use of a particular method, because this system contains almost all the known algorithms for data analysis. If you are not a programmer but you need to analyze data, this book will show you the capabilities of Mathematica when just few strings of intelligible code help to solve huge tasks from statistical issues to pattern recognition. If you're a programmer, with the help of this book, you will learn how to use the library of algorithms implemented in Mathematica in your programs, as well as how to write algorithm testing procedure. With each chapter, you'll be more immersed in the special world of Mathematica. Along with intuitive queries for data processing, we will highlight the nuances and features of this system, allowing you to build effective analysis systems. With the help of this book, you will learn how to optimize the computations by combining your libraries with the Mathematica kernel.

Who is this book for?

The book is for those who want to learn to use the power of Mathematica to analyze and process data. Perhaps you are already familiar with data analysis but have never used Mathematica, or you know Mathematica but you are new to data analysis. With the help of this book, you will be able to quickly catch up on the key points for a successful start.

What you will learn

  • Import data from different sources to Mathematica
  • Link external libraries with programs written in Mathematica
  • Classify data and partition them into clusters
  • Recognize faces, objects, text, and barcodes
  • Use Mathematica functions for time series analysis
  • Use algorithms for statistical data processing
  • Predict the result based on the observations

Product Details

Country selected
Publication date, Length, Edition, Language, ISBN-13
Publication date : Dec 24, 2015
Length: 164 pages
Edition : 1st
Language : English
ISBN-13 : 9781785884931
Category :
Concepts :

What do you get with a Packt Subscription?

Free for first 7 days. $19.99 p/m after that. Cancel any time!
Product feature icon Unlimited ad-free access to the largest independent learning library in tech. Access this title and thousands more!
Product feature icon 50+ new titles added per month, including many first-to-market concepts and exclusive early access to books as they are being written.
Product feature icon Innovative learning tools, including AI book assistants, code context explainers, and text-to-speech.
Product feature icon Thousands of reference materials covering every tech concept you need to stay up to date.
Subscribe now
View plans & pricing

Product Details

Publication date : Dec 24, 2015
Length: 164 pages
Edition : 1st
Language : English
ISBN-13 : 9781785884931
Category :
Concepts :

Packt Subscriptions

See our plans and pricing
Modal Close icon
€18.99 billed monthly
Feature tick icon Unlimited access to Packt's library of 7,000+ practical books and videos
Feature tick icon Constantly refreshed with 50+ new titles a month
Feature tick icon Exclusive Early access to books as they're written
Feature tick icon Solve problems while you work with advanced search and reference features
Feature tick icon Offline reading on the mobile app
Feature tick icon Simple pricing, no contract
€189.99 billed annually
Feature tick icon Unlimited access to Packt's library of 7,000+ practical books and videos
Feature tick icon Constantly refreshed with 50+ new titles a month
Feature tick icon Exclusive Early access to books as they're written
Feature tick icon Solve problems while you work with advanced search and reference features
Feature tick icon Offline reading on the mobile app
Feature tick icon Choose a DRM-free eBook or Video every month to keep
Feature tick icon PLUS own as many other DRM-free eBooks or Videos as you like for just €5 each
Feature tick icon Exclusive print discounts
€264.99 billed in 18 months
Feature tick icon Unlimited access to Packt's library of 7,000+ practical books and videos
Feature tick icon Constantly refreshed with 50+ new titles a month
Feature tick icon Exclusive Early access to books as they're written
Feature tick icon Solve problems while you work with advanced search and reference features
Feature tick icon Offline reading on the mobile app
Feature tick icon Choose a DRM-free eBook or Video every month to keep
Feature tick icon PLUS own as many other DRM-free eBooks or Videos as you like for just €5 each
Feature tick icon Exclusive print discounts

Frequently bought together


Stars icon
Total 101.97
OpenCV with Python By Example
€41.99
Mathematica Data Analysis
€29.99
Mathematica data visualization
€29.99
Total 101.97 Stars icon

Table of Contents

9 Chapters
1. First Steps in Data Analysis Chevron down icon Chevron up icon
2. Broad Capabilities for Data Import Chevron down icon Chevron up icon
3. Creating an Interface for an External Program Chevron down icon Chevron up icon
4. Analyzing Data with the Help of Mathematica Chevron down icon Chevron up icon
5. Discovering the Advanced Capabilities of Time Series Chevron down icon Chevron up icon
6. Statistical Hypothesis Testing in Two Clicks Chevron down icon Chevron up icon
7. Predicting the Dataset Behavior Chevron down icon Chevron up icon
8. Rock-Paper-Scissors – Intelligent Processing of Datasets Chevron down icon Chevron up icon
Index Chevron down icon Chevron up icon

Customer reviews

Rating distribution
Full star icon Full star icon Full star icon Full star icon Full star icon 5
(1 Ratings)
5 star 100%
4 star 0%
3 star 0%
2 star 0%
1 star 0%
SeVlad Mar 04, 2016
Full star icon Full star icon Full star icon Full star icon Full star icon 5
Very helpful book with interesting examples.For novice in Mathematica.
Amazon Verified review Amazon
Get free access to Packt library with over 7500+ books and video courses for 7 days!
Start Free Trial

FAQs

What is included in a Packt subscription? Chevron down icon Chevron up icon

A subscription provides you with full access to view all Packt and licnesed content online, this includes exclusive access to Early Access titles. Depending on the tier chosen you can also earn credits and discounts to use for owning content

How can I cancel my subscription? Chevron down icon Chevron up icon

To cancel your subscription with us simply go to the account page - found in the top right of the page or at https://subscription.packtpub.com/my-account/subscription - From here you will see the ‘cancel subscription’ button in the grey box with your subscription information in.

What are credits? Chevron down icon Chevron up icon

Credits can be earned from reading 40 section of any title within the payment cycle - a month starting from the day of subscription payment. You also earn a Credit every month if you subscribe to our annual or 18 month plans. Credits can be used to buy books DRM free, the same way that you would pay for a book. Your credits can be found in the subscription homepage - subscription.packtpub.com - clicking on ‘the my’ library dropdown and selecting ‘credits’.

What happens if an Early Access Course is cancelled? Chevron down icon Chevron up icon

Projects are rarely cancelled, but sometimes it's unavoidable. If an Early Access course is cancelled or excessively delayed, you can exchange your purchase for another course. For further details, please contact us here.

Where can I send feedback about an Early Access title? Chevron down icon Chevron up icon

If you have any feedback about the product you're reading, or Early Access in general, then please fill out a contact form here and we'll make sure the feedback gets to the right team. 

Can I download the code files for Early Access titles? Chevron down icon Chevron up icon

We try to ensure that all books in Early Access have code available to use, download, and fork on GitHub. This helps us be more agile in the development of the book, and helps keep the often changing code base of new versions and new technologies as up to date as possible. Unfortunately, however, there will be rare cases when it is not possible for us to have downloadable code samples available until publication.

When we publish the book, the code files will also be available to download from the Packt website.

How accurate is the publication date? Chevron down icon Chevron up icon

The publication date is as accurate as we can be at any point in the project. Unfortunately, delays can happen. Often those delays are out of our control, such as changes to the technology code base or delays in the tech release. We do our best to give you an accurate estimate of the publication date at any given time, and as more chapters are delivered, the more accurate the delivery date will become.

How will I know when new chapters are ready? Chevron down icon Chevron up icon

We'll let you know every time there has been an update to a course that you've bought in Early Access. You'll get an email to let you know there has been a new chapter, or a change to a previous chapter. The new chapters are automatically added to your account, so you can also check back there any time you're ready and download or read them online.

I am a Packt subscriber, do I get Early Access? Chevron down icon Chevron up icon

Yes, all Early Access content is fully available through your subscription. You will need to have a paid for or active trial subscription in order to access all titles.

How is Early Access delivered? Chevron down icon Chevron up icon

Early Access is currently only available as a PDF or through our online reader. As we make changes or add new chapters, the files in your Packt account will be updated so you can download them again or view them online immediately.

How do I buy Early Access content? Chevron down icon Chevron up icon

Early Access is a way of us getting our content to you quicker, but the method of buying the Early Access course is still the same. Just find the course you want to buy, go through the check-out steps, and you’ll get a confirmation email from us with information and a link to the relevant Early Access courses.

What is Early Access? Chevron down icon Chevron up icon

Keeping up to date with the latest technology is difficult; new versions, new frameworks, new techniques. This feature gives you a head-start to our content, as it's being created. With Early Access you'll receive each chapter as it's written, and get regular updates throughout the product's development, as well as the final course as soon as it's ready.We created Early Access as a means of giving you the information you need, as soon as it's available. As we go through the process of developing a course, 99% of it can be ready but we can't publish until that last 1% falls in to place. Early Access helps to unlock the potential of our content early, to help you start your learning when you need it most. You not only get access to every chapter as it's delivered, edited, and updated, but you'll also get the finalized, DRM-free product to download in any format you want when it's published. As a member of Packt, you'll also be eligible for our exclusive offers, including a free course every day, and discounts on new and popular titles.