Download Package `ISDA.R`

Package ‘ISDA.R’
February 19, 2015
Type Package
Title interval symbolic data analysis for R
Version 1.0
Date 2011-06-04
Author Ricardo Jorge de Almeida Queiroz Filho <[email protected]>,
Roberta Andrade de Araujo Fagundes <[email protected]>
Maintainer Ricardo Jorge de Almeida Queiroz Filho <[email protected]>
Depends R(>= 2.7.0), scatterplot3d
Description describes a set of operations for symbolic data type based
on interval-valued. The operations are processing of punctuals
variables to interval variables, construction of a 3D graphic
interval, linear regression interval and interval descriptive
statistics such as mean, median, variance, standard deviation
and mode.
License GPL-2
LazyLoad yes
Repository CRAN
Date/Publication 2012-10-29 08:57:10
NeedsCompilation no
R topics documented:
ISDA.R-package
histInterval . . .
interval . . . . .
intervalGraph3D
meanInterval . .
modeInterval . .
mushroom . . . .
percentileInterval
regInterval . . . .
sdInterval . . . .
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. 2
. 3
. 4
. 5
. 6
. 6
. 7
. 8
. 9
. 10
2
ISDA.R-package
summary.interval . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
tableMulti . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
varianceInterval . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
Index
ISDA.R-package
14
Intervaled Symbolic Data Analysis for R
Description
Describes a set of operations for symbolic data type based on interval-valued. The operations
are processing of punctuals variables to interval variables, construction of a 3D graphic interval,
linear regression interval and interval descriptive statistics such as mean, median, variance, standard
deviation and mode.
Details
Package:
Type:
Version:
Date:
License:
LazyLoad:
ISDA-R
Package
1.0
2011-06-04
GPL-2
yes
It’s important to read the interval() function documentation because this function serves as the base
for almost all the other functions.
Author(s)
Ricardo Jorge de Almeida Queiroz Filho <[email protected]>, Roberta Andrade de Araujo Fagundes <[email protected]>
Maintainer: Ricardo Jorge de Almeida Queiroz Filho <[email protected]>
References
Billard, L., Diday, E. Symbolic Data Analysis: Conceptual Statistics and Data Mining, Wiley, West
Sussex, England (2006). E. Diday and M. Noirhomme-Fraiture, Symbolic Data Analysis and the
SODAS Software, John Wesley Sons, ltd, (2008).
Examples
##defining a interval data set note: intervals [1.3;2.5],[2.4;5.2]...[2.1,5.6]
xmin = c(1.3,2.4,3.5,2.5,2.1)
xmax = c(2.5,5.2,6.3,5.2,5.6)
intervalTemp =interval(xmin,xmax)
histInterval
3
##get some information about these intervals
summary(intervalTemp)
histInterval
Histogram for Intervaled data set
Description
Builds a histogram for intervaled data sets
Usage
histInterval(intervals, type = "T")
Arguments
intervals
An interval data set
type
Kind of calculation for the number of classes ("T" = defines a class for every
element of vetorMin,vetorMax."SC" = Scott formula."ST" = Sturges)t
Author(s)
Ricardo Jorge de Almeida Queiroz Filho <[email protected]>, Roberta Andrade de Araujo Fagundes <[email protected]>
See Also
interval
Examples
#mushroom is an data set in this package
data(mushroom)
intervals = interval(mushroom$xmin,mushroom$xmax)
histInterval(intervals,type ="SC")
4
interval
interval
Interval set data
Description
An structure of interval set
Usage
interval(min, max)
Arguments
min
One vector with the inferior bounds for all the intervals in the set
max
One vector with the superior bounds for all the intervals in the set
Details
It’s important that the min and max bound is in the same order in those vectors to describe the
desired intervals
Value
An interval set data
Author(s)
Ricardo Jorge de Almeida Queiroz Filho <[email protected]>, Roberta Andrade de Araujo Fagundes <[email protected]>
Examples
xmin = c(1.3,2.4,3.5,2.5,2.1)
xmax = c(2.5,5.2,6.3,5.2,5.6)
interval(xmin,xmax)
intervalGraph3D
5
intervalGraph3D
IntervalGraph3D
Description
Constructs a 3D graph of the domain of an intervaled data
Usage
intervalGraph3D(xIntervals, yIntervals, zIntervals, yScale)
Arguments
xIntervals
An intervaled data set is passed as parameter representing the x values
yIntervals
An intervaled data set is passed as parameter representing the y values~
zIntervals
An intervaled data set is passed as parameter representing the z values
yScale
The adjustment scale value for the x axis
Author(s)
Ricardo Jorge de Almeida Queiroz Filho <[email protected]>, Roberta Andrade de Araujo Fagundes <[email protected]>
See Also
scatterplot3d,interval
Examples
data(mushroom)
zinf=
zsup=
yinf=
ysup=
xinf=
xsup=
mushroom$zmin
mushroom$zmax
mushroom$ymin
mushroom$ymax
mushroom$xmin
mushroom$xmax
z= interval(zinf,zsup)
y= interval(yinf,ysup)
x= interval(xinf,xsup)
intervalGraph3D(x,y,z,0.5)
6
modeInterval
meanInterval
Intervals mean
Description
Gives the mean of an interval set
Usage
meanInterval(interval)
Arguments
interval
An inteval set data
Value
The mean of an interval set
Author(s)
Ricardo Jorge de Almeida Queiroz Filho <[email protected]>, Roberta Andrade de Araujo Fagundes <[email protected]>
See Also
interval
Examples
xmin = c(1.3,2.4,3.5,2.5,2.1)
xmax = c(2.5,5.2,6.3,5.2,5.6)
xinterval = interval(xmin,xmax)
meanInterval(xinterval)
modeInterval
Mode for intervals
Description
Calculates the mode of an intervaled data set
Usage
modeInterval(intervals, type = "T")
mushroom
7
Arguments
intervals
An intervaled data set
type
Kind of calculation for the number of classes ("T" = defines a class for every
element of vetorMin,vetorMax."SC" = Scott formula."ST" = Sturges)
Value
The mode of the intervaled data set
Author(s)
Ricardo Jorge de Almeida Queiroz Filho <[email protected]>, Roberta Andrade de Araujo Fagundes <[email protected]>
See Also
interval
Examples
data(mushroom)
xmi= mushroom$xmin
xma= mushroom$xmax
a = interval(xmi,xma)
modeInterval(intervals=a)
mushroom
Mushroom data set
Description
consists of a set of 23 species described by 3 interval variables. In this application, (x) is the
stipe length, (y) is the stipe thickness and z is the pileus cap width. These mushroom species are
members of the genus Agaricies. The specific variables and their values were extracted from the
Fungi of California Species
Usage
data(mushroom)
Format
A data frame with 23 observations on the following 7 variables.
xmin a numeric vector
xmax a numeric vector
ymin a numeric vector
8
percentileInterval
ymax a numeric vector
zmin a numeric vector
zmax a numeric vector
h a factor with levels T U Y
Source
Billard, L., Diday, E. Symbolic Data Analysis: Conceptual Statistics and Data Mining, Wiley, West
Sussex, England (2006).
References
http://www.mykoweb.com/CAF/species_index.html
Examples
data(mushroom)
## maybe str(mushroom) ; plot(mushroom) ...
percentileInterval
Percentile for intervaled data sets
Description
Calculates the percentile for one intervaled data set, based on the histogram
Usage
percentileInterval(intervals, percentil, type = "T")
Arguments
intervals
An interval data set
percentil
The percentile that you want to calculate
type
Kind of calculation for the number of classes ("T" = defines a class for every
element of vetorMin,vetorMax."SC" = Scott formula."ST" = Sturges)
Value
The percentile value
Author(s)
Ricardo Jorge de Almeida Queiroz Filho <[email protected]>, Roberta Andrade de Araujo Fagundes <[email protected]>
regInterval
9
See Also
interval
Examples
data(mushroom)
xmi= mushroom$xmin
xma= mushroom$xmax
a = interval(xmi,xma)
b=percentileInterval(intervals=a,percentil = 0.5)
regInterval
Regression for Interval
Description
Builds a regression of a set of interval based on the centroids of each interval
Usage
regInterval(dados, headersMin, headersMax)
Arguments
dados
It’s an table data that contains the information which the regression will be used
headersMin
Header of the columns associated with the inferior boundaries of intervals that
will be used in regression
headersMax
Header of the columns associated with the superior boundaries of intervals that
will be used in regression
Details
The header of which interval must be in the same order in headerMin and headerMax
Value
The regression of the interval
Author(s)
Ricardo Jorge de Almeida Queiroz Filho <[email protected]>, Roberta Andrade de Araujo Fagundes <[email protected]>
See Also
table
10
sdInterval
Examples
Dados =data(mushroom)
vetormin = c("xmin","ymin","zmin")
vetormax = c("xmax","ymax","zmax")
a= regInterval (mushroom,vetormin,vetormax)
sdInterval
Standart deviation for interval
Description
Standart Deviation for intervaled data sets
Usage
sdInterval(interval)
Arguments
interval
An intervaled data set type
Value
Standart deviantion of inteval data set passed as parameter
Author(s)
Ricardo Jorge de Almeida Queiroz Filho <[email protected]>, Roberta Andrade de Araujo Fagundes <[email protected]>
See Also
interval
Examples
##defining a interval data set note: intervals [1.3;2.5],[2.4;5.2]...[2.1,5.6]
xmin = c(1.3,2.4,3.5,2.5,2.1)
xmax = c(2.5,5.2,6.3,5.2,5.6)
intervalTemp =interval(xmin,xmax)
sdInterval(intervalTemp)
## The function is currently defined as
function(interval) {
varianceInterval(interval)^(1/2)
}
summary.interval
summary.interval
11
Summary.Interval
Description
Gives a summary information about statistical information from a intervaled data set
Usage
#s3 method definition
## S3 method for class 'interval'
summary(object, ...)
Arguments
object
An interval object
...
summary args
Value
mean
The mean of the interval data set
variance
The variance of the interval data set
standard_deviance
The standart deviance of the interval data set
median
The median of the interval data set
Author(s)
Ricardo Jorge de Almeida Queiroz Filho <[email protected]>, Roberta Andrade de Araujo Fagundes <[email protected]>
See Also
interval
Examples
##defining a interval data set note: intervals [1.3;2.5],[2.4;5.2]...[2.1,5.6]
xmin = c(1.3,2.4,3.5,2.5,2.1)
xmax = c(2.5,5.2,6.3,5.2,5.6)
intervalTemp =interval(xmin,xmax)
summary(intervalTemp)
12
tableMulti
tableMulti
Point to interval conversion
Description
Converts an pontual data set to an intervaled data set by grouping variables
Usage
tableMulti(variableVector, groupedVar, Data)
Arguments
variableVector An String vector containing the headers of columns which contains the variables
used to group
groupedVar
An String vector containing the headers of columns which contains the grouped
variables
Data
An table
Value
An matrice containing the values used to group and the grouped values
Author(s)
Ricardo Jorge de Almeida Queiroz Filho <[email protected]>, Roberta Andrade de Araujo Fagundes <[email protected]>
See Also
table
Examples
cars_data = datasets::mtcars
tableMulti(c("cyl"), c("mpg"),cars_data)
varianceInterval
varianceInterval
13
Variance for interval
Description
Calculate the variance from one intevaled data set
Usage
varianceInterval(interval)
Arguments
interval
An intervaled data set type
Value
Variance of an intervaled data set
Author(s)
Ricardo Jorge de Almeida Queiroz Filho <[email protected]>, Roberta Andrade de Araujo Fagundes <[email protected]>
See Also
interval
Examples
xmin = c(1.3,2.4,3.5,2.5,2.1)
xmax = c(2.5,5.2,6.3,5.2,5.6)
intervalTemp =interval(xmin,xmax)
varianceInterval(intervalTemp)
Index
interval, 3, 4, 5–7, 9–11, 13
intervalGraph3D, 5
ISDA.R (ISDA.R-package), 2
ISDA.R-package, 2
∗Topic \textasciitildeSDA
histInterval, 3
intervalGraph3D, 5
meanInterval, 6
modeInterval, 6
percentileInterval, 8
regInterval, 9
summary.interval, 11
tableMulti, 12
varianceInterval, 13
∗Topic \textasciitildehistogram
histInterval, 3
∗Topic \textasciitildeinterval
histInterval, 3
interval, 4
intervalGraph3D, 5
meanInterval, 6
regInterval, 9
sdInterval, 10
summary.interval, 11
∗Topic \textasciitildemean
meanInterval, 6
∗Topic \textasciitildepercentile
modeInterval, 6
percentileInterval, 8
∗Topic \textasciitilderegression
regInterval, 9
∗Topic \textasciitildesda
interval, 4
∗Topic \textasciitildesd
sdInterval, 10
∗Topic \textasciitildevariance
varianceInterval, 13
∗Topic datasets
mushroom, 7
∗Topic package
ISDA.R-package, 2
meanInterval, 6
modeInterval, 6
mushroom, 7
percentileInterval, 8
regInterval, 9
scatterplot3d, 5
sdInterval, 10
summary.interval, 11
table, 9, 12
tableMulti, 12
varianceInterval, 13
histInterval, 3
14