Online Help   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:

Univariate Mode: 2D-Plot Window Menu
Scatterplot Menu (2D)
Clusterplot Menu
Visualizing Menu
Active Sample Menu
Univariate List Menu
Grouped Data List Menu
Time Series List Menu
Censored Data List Menu
Discrete Data List Menu
Multivariate Mode:
3D-Plot Window Menu
Scatterplot Menu (3D)
Multivariate List Menu
Contourplot Menu
StatPascal Menu


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:
Degree of polynomial
Enter the degree p = 0,1,2,3,... of the least squares polynomial. For instance, if the default value p = 1 is accepted, then the least squares line is fitted to the data (see Statistical Analysis, pages 67 - 69). For p = 0 one gets a straight line with the value equal to the sample mean of the second components.
Display residuals
By marking this field one also gets the residuals plotted in a separate window.
polynomial log-regression
Alternatively, one may activate the following facility: The function exp(s(x)) is plotted into the active scatterplot window, where s(x) is the least squares polynomial of degree p with respect to the transformed data ( x[i], log(y[i]) ) with link-function log(y). This operation is merely applied to those (x[i],y[i]) with y[i] > 0.

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:
Plot seasonal component
Plot seasonal component of active data in a separate window.
Plot active data with seasonal component removed
Thus, the residuals of the seasonal component are plotted.
Without detrending data
In contrast to the default three-step procedure the first step is omitted. The user must preliminary detrend the data by himself: e.g., use a Least Squares Polynomial procedure.

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.
Multivariate
Apply user defined operations/transformations to columns of the active multivariate set. For a detailed description, see Statistical Analysis, Demo B.3.
Univariate
Enter transformation in the edit field. The transformed data set is written to a new file with the specified file name.
Time series
Enter transformation for each component. The transformed data set is written to a new file with the specified file name.

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.
Perspective
a perspective projection from the first viewpoint is applied;
Parallel
a parallel projection along the vector from the origin of the coordinate system K to the first viewpoint is used;
Anaglyphs
a perspective projection from the first viewpoint is plotted in red and a another projection from the second viewpoint is plotted in green. Use spectacles with red and green filters to obtain a three dimensional view.
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.

© 2005
Xtremes Group · updated Jun 21, 2005