Calculates the frequency table with respect to the open right boundary convention for a discrete data set.
[Visual Basic]
Overloads Public Shared Function FrequencyTableOR( _
ByVal seriesName As String, _
ByVal s As Series, _
ByVal boundaries() As Double _
) As Series
[C#]
public static Series FrequencyTableOR(
string seriesName,
Series s,
double[] boundaries
);
Say for example the boundary points used are {b_1, b_2, ..., b_n}
, now the
first term of the array returned which represents the frequency table, is the number of elements
from the data set within the interval (-infinity, b_1)
, the second term of the array
returned is the number of elements from the data set within the interval [b_1, b_2)
,
and so on...
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 you assign this data set in accordance with the above the conventions then we will
have using Open Right Boundary (ORB) convention:
(-infinity, 1]
, we assign the data element 0.5
;
and hence the frequency of this interval is 1
.
[1, 2)
, we assign the data element 1.4, 1.3
;
and hence the frequency of this interval (wrt ORB convention) is 2
.
[2, 3)
, we assign the data element 2.0, 2.3
;
and hence the frequency of this interval (wrt ORB convention) is 2
.
[3, 4)
, we assign no data elements, and hence the frequency
of this interval (wrt ORB convention) is 0
.
[4, 5)
, we assign the data element 4.5
,
and hence the frequency of this interval (wrt ORB convention) is 1
.
[5, infinity)
, we assign the data element 5.5
,
and hence the frequency of this interval (wrt ORB convention) is 1
.
Hence, in this case the series returned corresponding to the frequency table will be
{1, 2, 2, 0, 1, 1}
.
StatisticalEngine Class | StatisticalEngine Members | Overload List
2002 - 2005 Webavail Productions Inc. & Corporate Web Solutions Ltd.. All Rights Reserved.