WebCab Probability and Statistics for COM v3.3 Demo

DataPresentation.FrequencyTableOL Method 

Calculates the frequency table with respect to the open left boundary convention for a discrete data set.

public double[] FrequencyTableOL();

Remarks

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...

Note that before this method is called you are required it to set the discrete data set and the boundaries intervals are set to calling SetDataSet and SetBoundariesIntervals respectively.

Example

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 left 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 Left Boundary (OLB) convention:

Hence, in this case the array returned corresponding to the frequency table will be {1, 3, 1, 0, 1, 1}.

Exceptions

Exception TypeCondition
StatisticsExceptionThrown if data set or boundaries intervals are null.

See Also

DataPresentation Class | WebCab.COM.Statistics.Statistics Namespace