Esta+


User Guide
 

© 2001-2002 by
Alejandro Vergara Massa
 




Initial concepts

 

About Esta+


Esta+ http://www.terra.es/personal8/estaplus
estaplus@terra.es

Copyright © 2001-2002 by Alejandro Vergara Massa. 

 

This program is protected by royalties and international treaties. The unauthorized reproduction or distribution of this program could be the object of severe civil sentences and criminals, and will be persecuted with the maximum extension allowed by the law.


All rights reserved.

You can download the latest version from Esta+ Homepage.


 

License


Esta+ http://www.terra.es/personal8/estaplus
estaplus@terra.es

Copyright © 2001-2002 by Alejandro Vergara Massa. 
All Reserved Reserved.

LICENSE CONTRACT FOR ESTA+
The software is granted in license and is not sold. By installing this software, you accept automatically the terms and conditions of this license agreement. If you don't accept these conditions, you can't use the software.

LICENSE GRANT.
This license grants you the right of using the software in any personal computer, under the following terms:

  1. You can not use techniques of inverse engineering in order to discompile nor disassemble the software.
  2. The software is granted with license as a single product. Their components parts, including any printed materia that accompanies it, can not be separated.
  3. Without disadvantage of whatever other right, the author can end this license if you don't observe the terms and conditions of the license. In that case, you must destroy all the copies of the software and all the components parts.

ROYALTIES.
The software is property of Alejandro Vergara Massa and is protected by laws and dispositions of international treaties as regards royalties. Therefore, you must deal with this software like any other material protected by this laws.

REDISTRIBUTION.
The author grants you the permission of copying and distribute this siguiente provided the following points are respected:

  1. You copy and you distribute all the components of this product, including the all the software and any printed material, attaching and incorporating this agreement of license.
  2. The product doesn't suffer alterations.
  3. You keep all the warnings of property together with the software and you don't receive any kind of monetary compensation or of any other class, in exchange for the software (the costs of the physical device where the software is stored are not included).

ABSENCE OF GUARANTEES.
THE SOFTWARE AND THE RELATED DOCUMENTATION ARE PROVIDED "AS IS" WITHOUT GUARANTEES NOR CONDITION OF NO KIND, EXPRESSED OR IMPLICIT, INCLUDING, BUT WITHOUT LIMITING TO, THE GUARANTEES AND CODITIONS OF COMMERCIALIZATION, SUITABILITY FOR A CERTAIN END AND ABSENCE OF ERRORS. YOU ASSUME ALL RISK THAT ARISES FROM THE USE OR OF THE EFFICIENCY OF THE SOFTWARE.

LIMITATION OF RESPONSABILITY.
In the measure allowed by the applicable law, in no case the author will be responsible for any damage, special, incidental, indirect or as consecuence, whatever that it could be (including without limitation, damages for loss of benefits, interruption of business, loss of commercial information or any another pecuniary loss) that could arise from the use or impossibility of use of the software, or the provision or absence of technical support, still in case you have informed to the author of the possibility of this damages.



Introduction


Esta+ is a descriptive statistics software developed by Alejandro Vergara Massa that can analyze and plot using data distributed in one-dimensional or two-dimensional variables, in discreet or continuous mode.  

Among its features the following ones are found:

    Wide variety of data formats
·        One-dimensional or two-dimensional variables
·        Discreet or continuous (grouped in intervals) variables
·        Quantitative and qualitative data
·        Introduction of tabular or not tabular data
 
Storage features
·        Save and print data tables
·        Save and print analysis reports
·        Import tables from spreadsheets (including Microsoft Excel)

 Edition features
·        Automatic error checking during data introduction
·        Automatic filling of data tables
·        Full control of the edition of data tables

Detailed analysis of data tabla
·        Measures of central tendency
·        Characteristic of dispersion
·        Characteristic of form
·        Identification of outliers
·        Functional dependence
·        Analysis of regression
·        Measures of statistical dependence
·        Analysis of percentiles
·        Analysis of moments

Plots
·        Box and Whisker
·        Spread

Other Features
·        Probability wizard
·        On Line Help
·        Windows and Linux PC Editions

If this is the first time that you uses Esta+, read the ║Tutorial║.

 

If you want to enlarge the information about the use of the software, read the description of the options of the ║Menu bars║.

 

You can also obtain more information reading the following sections:

 

Tutorial
Definition of statistical formulas

Precision of the calculus and limits

 

About de Esta+

 


Tutorial

[SCREENSHOT]    


Firstly, in order to obtain the analysis of the data, it is necessary to introduce it. In order to this, you have to select the type of data that you want to introduce and the number of variables. There are four combinations:

 

        · One-dimensional variables using countinuous data (grouped in intervals)

        · One-dimensional variables using quantitative discreet data

        · One-dimensional variables using qualitative discreet data

         · Two-dimensional variables using discreet data

In order to select the type of data, you can use the can use the drop-down lists that appears in the main window.

 

Once selected the type of data, you will introduce them. In order to this, if the data are tabular, you don’t have more than type them in the main window. If you don’t have the tabular data, you click the button Not Tabular of the main window or you select the option Introduce Not Tabular of the ║Edition║ menu. Remember that decimal numbers are ALWAYS entered using dots. Commas are not allowed.

 

If you previous have saved the data (║File║|Save), you can recover it using the Open option from the ║File║ menu.

 

Once introduced the data, you can edit them using the tools of the ║Edition║ menu. From that menu you can insert rows, columns and create a new table among other options. Many of these options have a quicker access through buttons located in the main window.

 

You can check that the introduced data are correct through the option Check Errors of the ║Analysis║ menu or from the quick button equivalent.

 

After introducing the data, you will want to analyze them. In order to this uses the tools of the ║Analysis║ menu. The first thing that you will want to obtain will be to fill the columns of the table. In order to this, you use the option Fill Table.

 

Inside the Analysys option you will obtain most of the statistical measures of frequent use. You will also obtain the percentiles and mementos for the desired values.
 

Once obtained the measures, you could want to extend them with your own calculus. In order to this, you use the Calculator option of the ║Tools║ menu.

 

You could also obtain a graphic representation of that analysis through the Plot option of the ║Tools║ menu.


Remember that exist example data in order to become familiar with the program in the Examples folfer, inside of the the installation folder of the program. This folder is usually at C:\Program Files\Esta+.

 

Related Topics:

Menu bars

Introduction


Precision of the calculus and limits

In order to fulfill the calculus, 64 bits numbers are used, what gives a precision of about 16 digits.  The numbers are rounded until they fill in four digits for their visualization. This rounding does not affect to the calculus.

 

It this version the limit of the number of observation has been increased from 214 (around 16.300 observation), to 231 (around two thousand million of observations).






Menu bars


The menu structure of Esta+ is the following. Read the following topics in order to obtain more infomation about them.

 

[FILE] [EDIT] [ANALYSIS] [TOOLS] [HELP]


Related Topics:

File

Edition

Analysis

Tools

Help



File



The File menu has the following options:


New (Ctrl-N)
It closes the current table and makes a new one.
Open... (Ctrl-O)
It opens previously saved table in Esta+ or previously created in a spreadsheet in Spreadsheet Delimited by Tabulators format.
Save (Ctrl-S)
It saves a file previously opened. If there is not any open file, it acts like Save as.
Save as...
It saves the current data in a new file.
Delete...
It erases a previously created file.
Print (Ctrl-P)
It fills the table and prints the data.
Salir (Ctrl-X)
It exits from Esta+.


Related Topics:

Menu bars

Edition

Analysis

Tools

Help


 


Edition




The Edition menu has the following options:

 
Introduce not tabular (Ctrl-T)
Use it to introduce data in not tabular format.
Insert row (Ctrl-I)
It inserts a row in the current position of the cursor.
Delete row (Ctrl‑B)
It erases the current row.
Delete all...
It closes the current table and makes a new one.

Related Topics:

Menu bars

File

Analysis

Tools

Help


 


Analysis



The Analysis menu has the following options:

 
Check errors... (Ctrl-E)
It checks that the table is filled correctly.
Fill table (Ctrl-F)
It fills the table using the modalities and the frequencies.
Analysis →

It analyzes the data. It is possible to show a full analysis or a partial analysis (central tendency, dispersion, form or outliers).
Moments →
It analyzes the moments; central, zero or other type.
Percentiles...
It analyses the percentiles.


Related Topics:

Menu bars

File

Edition

Tools

Help


 


Tools



The Tools menu has the following options:


First (F11)
It moves the cursor to the first element of the table.
Last (F12)
It moves the cursor to the last element of the table.
Box and whisker plot...
It fills the table and it shows the box and wisker plot of the current set of data.


or
Scatter plot... It fills the table and it shows the spread plot of the current set of data.
Combinatory wizard...
It helps you to select between variations, combinations, permutations... doing questions. Finally it shows the value calculated.
Calculator... (Ctrl-C) It shows a calculator.

Related Topics:

Menu bars

File

Edition

Analysis

Help



Help




The Help menu has the following options:

 
Help... (F1)
It shows the user manual of Esta+.
Tip of the day...
It shows the tip of the day again or it actives the tips of the day if it was disabled.
Send suggestion...
It opens your e-mail client in order to send a suggestion.
About...
It shows the copyright and version information of Esta+

 

Related Topics:

Menu bars

File

Edition

Analysis

Tools






Definition of statistical formulas

                       

This topic will describe the statistical formulas used generally in the calculations by hand. Internal algorithms of Esta+ are based in this formulas.

 

 

Median


The median is defined as:



 

 

Related Topics:

Definition of statistical formulas



Mode


The mode is defined as:

 



Definition of statistical formulas



Arithmetic average


The arithmetic average is defined as:

 



 

Related Topics:

Definition of statistical formulas



Geometric average


The geometric average is defined as:



 

Related Topics:

Definition of statistical formulas



Armonic average


The armonic average is defined as:




Related Topics:

Definition of statistical formulas



Quadratic average


The quadratic average is defined as:




Related Topics:

Definition of statistical formulas



Average absolute deviation


The average absolute deviation is defined as:

 



Related Topics:

Arithmetic average

Definition of statistical formulas



Average absolute deviation regard to the median


The average absolute deviation regard to the median is defined as:

 

 

 

Related Topics:

Median

Definition of statistical formulas



Variance


The variance is defined as:

 

 

 

Related Topics:

Arithmetic average

Definition of statistical formulas



Root mean square deviation

                                                 

The root mean square deviation is defined as:             

                                                 

 

 

Related Topics:

Variance

Definition of statistical formulas

 


Quasi-variance


The quasi-variance is defined as:

 


 

Related Topics:

Variance

Definition of statistical formulas

 


Typical quasi-deviation


The typical quasi-deviation is defined as:

 


 

Related Topics:

Quasi-variance

Definition of statistical formulas

 

Pearson’s coefficient of deviation


The Pearson’s coefficient of deviation is defined as:

 


 

Related Topics:

Root mean square deviation

Arithmetic average

Definition of statistical formulas

 


Quantile


It is defined the quantile of level a, 0<a<1 as:




Related Topics:

Cuartile

Percentile

Median

Definition of statistical formulas

 


Cuartile


The quartiles are defined as:

 


 

Related Topics:

Cuantile

Percentile

Median

Definition of statistical formulas

 


Percentile


It is defined the quantile of level a, 0<a<100 as:


 

 

Related Topics:

Cuantile

Cuartile

Median

Definition of statistical formulas

 


Interquartile range


It is defined the interquartile range as:

 


 

Related Topics:

Cuartile

Definition of statistical formulas

 


Moment


It is defined the moment of r order, r>0, respect an a value as:

 


 

Related Topics:

Central moment

Zero moment

Two-dimension moment

Definition of statistical formulas

 


Central moment


It is defined the central moment of r order, r>0, as:

 


 

Related Topics:

Moment

Zero moment

Definition of statistical formulas

 


Zero moment


It is defined the zero moment of r order, r>0, as:

 


 

Related Topics:

Moment

Central moment

Definition of statistical formulas

 


Shannon’s coefficient of entropy


The Shannon’s coefficient of entropy is defined as:

 


 

Related Topics:

Shannon’s index of diversity

Definition of statistical formulas

 


Shannon’s index of diversity


The Shannon’s index of diversity is defined as:

 

 

 

Related Topics:

Shannon’s coefficient of entropy

Definition of statistical formulas

 


Pearson’s coefficient of symmetry


The Pearson’s coefficient of symmetry is defined as:



 

If AS = 0 the distribution of frequencies is symmetrical.
If AS < 0 the distribution is asymmetric to the left.
If AS > 0 the distribution is asymmetric to the right.

 

Related Topics:

Fisher’s coefficient of symmetry

Definition of statistical formulas

 


Fisher’s coefficient of symmetry


The Fisher’s coefficient of symmetry is defined as:

                           


 

If Y1 = 0 the distribution of frequencies is symmetrical.
If Y1 < 0 the distribution is asymmetric to the left.
If Y1 > 0 the distribution is asymmetric to the right.
 

Related Topics:

Central moment

Root mean square deviation

Pearson’s coefficient of symmetry

Definition of statistical formulas

 


Fisher’s coefficient of kurtosis


The Fisher’s coefficient of kurtosis is defined as:

                           


 

If Y1 = 0 the distribution of frequencies is mesokurtosis.
If Y1 < 0 the distribution is platykurtosis.
If Y1 > 0 the distribution is leptokurtosis .
 

Related Topics:

Central moment

Root mean square deviation

Definition of statistical formulas

 


Identification of outliers according to the root mean square deviation


The observations outside of the following range are considered as outliers according to the method based on the root mean square deviation:



 

k is accustomed to be taken as 3.

 

Related Topics:

Arithmetic average

Root mean square deviation

Identification of outliers according to the interquartile range

Definition of statistical formulas

 


Identification of outliers according to the interquartile range


The observations outside of the range:

 


 

but inside the range:

 


 

are considered as outsides according to the method of identification of outliers according to the interquartile range.

 

The observations outside of the range:




are considered as far outsides according to the method of identification of outliers according to the interquartile range.

 

Related Topics:

Interior barriers

External barriers

Identification of outliers according to the root mean square deviation

Definition of statistical formulas

 


Interior barriers


The interior barriers is the range included between:

 


 

where:

 


 

Related Topics:

Interquartile range

External barriers

Identification of outliers according to the interquartile range
Definition of statistical formulas

 


External barriers


The external barriers is the range included between:

 


 

where:

 


 

Related Topics:

Interquartile range

Interior barriers

Identification of outliers according to the interquartile range
Definition of statistical formulas

 


Covariance of X and Y


The covariance of X and Y is defined as:


 


Related Topics:

Variance

Definition of statistical formulas



Two-dimension moment


It is defined the moment of r order, r>0, respect two values a and b as:

 


 

Related Topics:

Moment

Central moment

Zero moment

Definition of statistical formulas



Coefficient of determination


It is defined the coefficient of determination of Y on X as:




and X on Y as:

 



Related Topics:

 

Variance

Pearson’s coefficient of lineal correlation

Definition of statistical formulas



Pearson’s coefficient of lineal correlation


It is defined the Pearson’s coefficient of lineal correlation as:

 


 

Related Topics:

Coefficient of determination

Definition of statistical formulas































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