'Declaration
 
Public Overloads Shared Function CFrequencyTableBOR( _
   ByVal s As Series, _
   ByVal boundaries() As Double _
) As Series

'Usage
 
Dim s As Series
Dim boundaries() As Double
Dim value As Series
 
value = StatisticalEngine.CFrequencyTableBOR(s, boundaries)

public static Series CFrequencyTableBOR( 
   Series s,
   double[] boundaries
)

Parameters

s

A statistical series.

boundaries

A strictly increasing sequence of boundaries of the intervals over the real line in which the data sets point will be assigned.

Example

Within this example we work through an illustration in which the cumulative frequency table from below using the open right boundary convention is evaluated.

Consider the set of boundaries { 1, 2, 3, 4, 5 }, which divide the real line into six sub-intervals. Now if we use the open right boundary convention then the real line will be divided into the sub-intervals:

(-infinity, 1), [1, 2), [2, 3), [3, 4), [4, 5), [5, infinity)

Note that, each point on the real line can be assigned to one of these sub-intervals and therefore when assigning a data point to one of these intervals there will only be one sub-interval in which it belongs.

Therefore, if we consider the data set { 0.5, 1.4, 1.3, 2.0, 2.3, 4.5, 5.5}, if the assign this data set in accordance with the above the conventions then we will have using Open Right Boundary (ORB) convention:

• Within the interval (-infinity, 1], we assign the data element 0.5; and hence the frequency of this interval is 1.
• Within the interval [1, 2), we assign the data element 1.4, 1.3; and hence the frequency of this interval (wrt ORB convention) is 2.
• Within the interval [2, 3), we assign the data element 2.0, 2.3; and hence the frequency of this interval (wrt ORB convention) is 2.
• Within the interval [3, 4), we assign no data elements, and hence the frequency of this interval (wrt ORB convention) is 0.
• Within the interval [4, 5), we assign the data element 4.5, and hence the frequency of this interval (wrt ORB convention) is 1.
• Within the interval [5, infinity), we assign the data element 5.5, and hence the frequency of this interval (wrt ORB convention) is 1.

Now in follows that the associated values of the cumulative frequency table are given by:

• Cumulative frequency table up to 1 is: 1
• Cumulative frequency table up to 2 is: 3
• Cumulative frequency table up to 3 is: 5
• Cumulative frequency table up to 4 is: 5
• Cumulative frequency table up to 5 is: 6
• Cumulative frequency table up to 5 is: 7

Hence, for this case the series returned by this methods to represent the cumulative frequency table would be: {1, 3, 5, 5, 6, 7}.

Target Platforms: Windows 7, Windows Vista SP1 or later, Windows XP SP3, Windows Server 2008 (Server Core not supported), Windows Server 2008 R2 (Server Core supported with SP1 or later), Windows Server 2003 SP2

Reference

StatisticalEngine Class
StatisticalEngine Members
Overload List