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![]() | Commands | ![]() | ![]() | Plotting Facilities |
Local Menus
Open a local menu by means of rightclick into the
corresponding graphics or text window. It provides options
commonly used in the context of this window or
dialog box. For example, if one clicks into a window with
displayed curves (such
as Density or Distribution Function),
the local Plot Window Menu appears.
The following local menus are available:
2D-Plot Window Menu
This local menu contains the subsequent items:
Enter User Formula
Change Coordinates
Edit Contents
Combine curves
Piece together
Label Font
Frame Size
Frame Color
Interior Color
Copy to clipboard
Create EPS-file
Printer Setup
Print
Scatterplot Menu (2D)
The Scatterplot Menu (2D) is available by means of a
rightclick on a scatterplot window. It provides the
following options:
Enter User Formula
Change Coordinates
Edit Contents
Label Font
Frame Size
Frame Color
Interior Color
Copy to Clipboard
Create EPS-file
Printer Setup
Print
Least Squares Polynomial
Moving Average, Lowess
Seasonal Component
Sample Autocovariance
Sample Autocorrelation
Function
Threshold
Show all points
Options
Connect actual points
Save actual points
Clusterplot Menu
Click with the right button within a Clusterplot window to call the
Clusterplot menu:
Change Coordinates
Cluster Options
Threshold
Save Cluster Maxima
Label Font
Frame Size
Frame Color
Interior Color
Copy to clipboard
Printer Setup
Print
Visualizing Menu
The Visualizing menu supports the interactive generation of data
sets: it is available within the window that will pop up if one selects
the Visualizing option of a Generate
data dialog box. The following items are provided:
Generate Point
Generate 20 Points
Change Coordinates
Label Font
Frame Size
Frame Color
Interior Color
Copy to clipboard
Printer Setup
Print
Active Sample Menu
The Active Sample Menu is available by rightclick into the
Active Data window. The following items are provided:
Functional Parameters
List Data
Edit
Read Data
Choose Data
Univariate List Menu
This menu is available within the list window of a univariate data
set. The following options are provided:
Functional parameters
Visualize
Convert to
Transform Data
Visualize
The local Visualize menu contains entries to apply nonparametric
estimation procedures to univariate data sets. The following options
are provided:
Kernel Density
Sample QF
Sample DF
Sample Mean Excess
Sample Median Excess
Sample Hazard Function
Convert to
Data sets can be converted to other types by means of several
predefined operations. Choose the option
Transform Data to perform
transformations conserving the data type.
Grouped Data
Time Series
Censored Data
Transform Data
Data sets can be transformed by means of several predefined
operations. The resulting data set is of the same data type
as the original one. Choose the option
Convert to to convert a data
set to another type.
Change Sign
Affine Transformation
User Defined Transformation
Save Exceedances
Save Blocks Maxima
Save Moving Maxima
Save Blocks Sums
Save Moving Sums
Order Data
Cumulate Data
Grouped Data List Menu
This menu is available within the list window of a grouped data
set. The following options are provided:
Visualize
Convert To
Visualize
The local Visualize menu contains entries to apply nonparametric
estimation procedures to univariate data sets. The following options
are provided:
Histogram
Sample QF
Sample DF
Sample Mean Excess
Sample Median Excess
Sample Hazard Function
Convert To
Data sets can be converted to other types by means of several
predefined operations.
Univariate Data
Time Series List Menu
This menu is available within the list window of a time series data
set. The following options are provided:
Functional Parameters
Visualize
Convert To
Transform Data
Visualize
The following options for visualization and nonparametric estimation of
time series are provided:
Scatterplot
Sample Autocovariance
Sample Autocorrelation
Convert To
Data sets can be converted to other types by means of several
predefined operations. Choose the option
Transform Data to perform
transformations conserving the data type.
Univariate Data
Grouped Data
Transform Data
Data sets can be transformed by means of several predefined
operations. The resulting data set is of the same data type
as the original one. Choose the option
Convert to to convert a data
set to another type.
Change Sign
Affine Transformation
User Defined Transformation
Save Exceedances
Censored Data List Menu
This menu is available within the list window of a censored sample by
means of a rightclick. The following options are provided:
Functional Parameters
Visualize
Convert To
Visualize
The local Visualize menu contains entries to apply nonparametric
estimation procedures to univariate data sets. The following options
are provided:
Kernel Density
Sample QF
Sample DF
Convert To
Data sets can be converted to other types by means of several
predefined operations.
Univariate Data
Discrete Data List Menu
This menu is available within the list window of a data set of type
Xtremes Frequency Data. The following options are provided:
Functional Parameters
Visualize
Convert To
Visualize
The local Visualize menu contains entries to apply nonparametric
estimation procedures to univariate data sets. The following options
are provided:
Histogram
Convert To
Data sets can be converted to other types by means of several
predefined operations:
Univariate Data
3D-Plot menu
The 3D-Plot Menu is available within the
3-dimensional plot
window and provides the following options:
Change Coordinates
Surfaceplot options
Projection options
Label Font
Frame Size
Frame Color
Interior Color
Copy to Clipboard
Printer Setup
Print
Scatterplot Menu (3D)
The 3D-Scatterplot menu is available by means of a rightclick
within a 3D-Scatterplot window and provides the following options:
Change Coordinates
Scatterplot options
Projection options
Label Font
Frame Size
Frame Color
Interior Color
Copy to Clipboard
Create EPS-file
Printer Setup
Print
Multivariate List Menu
This menu is available within the list window of a multivariate data
set. The following options are provided:
Convert To
Transform Data
Visualize
Convert To
Data sets can be converted to other types by means of several
predefined operations. Choose the option
Transform Data to perform
transformations conserving the data type.
Univariate Data
Grouped Data
Time Series
Transform Data
Data sets can be transformed by means of several predefined
operations. The resulting data set is of the same data type
as the original one. Choose the option
Convert to to convert a data
set to another type.
Select Columns
Change Sign
Affine Transformation
User Defined Transformation
Save Exceedances
Save Blocks Maxima
Save Moving Maxima
Save Blocks Sums
Save Moving Sums
Order Data
Cumulate Data
Price Return
Fill Missing
Visualize
The following options for visualization of multivariate data sets are
provided:
Scatterplot (2D)
Scatterplot (3D)
Contourplot
Surfaceplot
Contourplot Menu
The Contourplot menu is available within a Contourplot window. The
following options are provided:
Change Coordinates
Edit Contents
Options
Label Font
Frame Size
Frame Color
Interior Color
Copy to Clipboard
Printer Setup
Print
StatPascal Menu
This menu is available within the output window of
any StatPascal window.
It provides the following options:
Clear Window
Edit Contents
Combine Curves
Select two curves of the active window to display their difference
(f-g), sum (f+g), ratio (f/g) and product
(fg). The combined function is displayed in the same window,
but in a different color.
Piece together
Two curves in a graphics window can be
pieced together at a selected Junction Point. For that
purpose, choose a left-hand and a right-hand part in the
dialog box. The piecing together is made in a continuous
manner if Continuous Junction is active. In this case,
one must distinguish two different cases.
The option Piece together facilitates
the combination of nonparametric and parametric curves.
For example, one may piece together a sample df
in the center and a parametric df in the upper tail.
Label Font
Specify font style for the axes of the coordinate system in a graphics
window. The standard dialog box is utilized.
Frame Size
Resize the window frame (i.e. the frame surrounding the
actual curve) relative to the size of the entire window. The default
value is ten percent which means that the frame covers one thenth of the
window's area.
One can also change local values like the left border, for instance.
Frame Color
Select color of window frame. It is possible to specify own colors.
Interior Color
Select color of window interior. It is possible to specify own colors.
Generate Point
Generate one data point according to the current distribution.
Generate 20 Points
Generate twenty data points according to the current distribution.
Least Squares Polynomial
Plot a least squares polynomial s(x) of degree p or,
alternatively, exp(s(x)) (as explained below)
in the active scatterplot window. Dialog options:
Moving Average, Lowess
Moving Average
The moving average with a uniform or Epanechnikov
kernel k (as explained in Statistical Analysis,
page 69) is applied to a scatterplot
of points (t[i],y[i]). The output is another scatterplot
of points (t[i],m[i]). Thereby, one also gets a nonparametric
estimate of the regression function.
Copy both scatterplots (in the point connected form) into the
clipboard - use
the clipboard mouse mode - to make them
comparable.
Bandwidth selection
Besides the kernel, choose a bandwidth b by means of one of
the following options:
"fixed" means that the bandwidth b must be inserted in the
input field. The "random" bandwidth b is evaluated in the
following manner. Insert a nonnegativ integer r in the input
field. Then, b is the minimum of the distances between t[i],
where the moving average is evaluated, and its r-th upper and,
respectively, lower neighbor t[j]. Near to the upper (lower)
corner point there is not a sufficient number of upper (lower)
neighbors. Then, b is taken as the distance between t[i] and
the r-th lower (upper) neighbor.
If r = 0, then one gets the original scatterplot. "fixed" and
"random" leads to the same output, if there is a full grid of
integers.
Use the parameter varying mouse mode to
vary the number of points interactively with a slider.
Lowess
The lowess (local weighted regression) procedure runs as the
MA procedure with random bandwidth and Epanechnikov kernel. Yet
based on the neighbors t[j] of t[i] one evaluates a local weighted
regression curve of degree p = 1 or p = 2. The weights a[j] are
given by the value of the Epanechnikov kernel at t[j]. The value
y[i] of the local weighted regression curve at t[i] is attributed
to t[i]. Finally, a linear interpolation is displayed.
Seasonal Component
This option extracts the seasonal component from the active data
and displays residuals (the deseasonalized data) in a separate
window.
This procedure includes the following three steps.
Further dialog options:
Sample Autocovariance
Display the sample autocovariance function
r(h) = (1/n) Sum( (x[i] - mu) (x[i+h] - mu) ),
with mu denoting the sample mean.
It is advisable to detrend and deseasonalize the data using
the tools in this local scatterplot menu.
Sample Autocorrelation
Display the sample autocorrelation function
rho (h) = r(h) / r(0)
with r(h) being
the sample autocovariance function.
Threshold
This option is applicable to scatterplots and clusterplots.
Enter a value for the threshold and execute the option.
In the case of a scatterplot, all data points below the threshold
are marked green, if
the Connect actual points option
is inactive. Otherwise, the points above
the threshold are merely connected.
Select Show all points to unmark them.
In the case of a clusterplot, the values below the threshold will
just be ignored (without being marked) and not involved in
further operations.
Show all points
Use this option to unmark points removed from data set by using the
Treshold command.
Options for scatterplot (2D)
Select point size between 2 and 32767 pixels. Note that this
option is only applicable to non-connected points.
Connect Actual Points
Select this option to connect the points of the active data set, or
remove the connecting lines to display only single points.
Save Actual Points
Use the Threshold option or the point
selection mouse mode to make certain
points inactive within the current scatterplot window. An application
of the save actual points option stores all points that have
not been cut away to a new file. Specify filename and, optionally,
the directory.
This option may also be applied to the residuals which are
displayed in a residual window.
Cluster Options
Define the minimum gap between two consecutive clusters in the
corresponding edit field. To display points below the predetermined
treshold, mark the pertaining box.
For detailed information about Clustering see
Transform Data ... Save Cluster Maxima
and
Visualize ... Clusterplot
.
Functional parameters
Display functional parameters of active data set, like sample size,
sample mean, etc.
User defined transformation
This option can be applied to three different data types, namely Xtremes
Multivariate Data, Xtremes Univariate Data and Xtremes Time Series.
The transformations are provided by the
User Formula facility.
Contourplot Options
One can select the number of grid points as well as the range in
which contour lines are drawn and their distance towards each other. For
detailed information on contour plots, see the corresponding help item
Contour Plot.
Surfaceplot and Scatterplot (3D) options
If vertical lines within the coordinate system are wished, one must mark
the corresponding box. It is also possible to specify the number of grid
points. Mark the remove hidden lines box to remove lines covered
by other parts of the surface plot.
Options are different in case of a threedimensional scatterplot. One
must select the range of point size, specified by the from and
to edit fields. Large points are nearer to the viewer, smaller points
have greater distance. Mark the corresponding box for vertical lines.
Projection options
Consider a three dimensional coordinate system K where the screen
lies in the plane y=0, the x-axis points to the right, the
z-axis to the top and the y-axis into the screen.
Given orthonormal vectors ex, ey and ez,
a cube is defined by C:={x ex + y ey + z ez:
-1 <= x,y,z <= 1}. All plot operations are performed within
that cube, which is then projected onto the
plane y=0 using one of the following projection options.
The multivariate coordinate system
selected by the option
Change Coordinates is
transformed into the cube C.
The actual window that is displayed on the screen
is defined by the entries under Size of projection window.
All coordinates are given relative to the coordinate system K.
Edit Data
Edit the active data set using the Xtremes internal ASCII
editor.
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