WebCab Probability and Statistics for .NET v3.3 Demo

DataPresentation.CFrequencyTableAOR Method 

Calculates the cumulative frequency table from above for a discrete data set in accordance with the open right boundary (ORB) convention.

public double[] CFrequencyTableAOR();

Remarks

The value of the cumulative frequency table values at a given point is the number of elements within the data set above the lowest value of that interval of the frequency table constructed in accordance with the open right boundary.

Before this method is called you are required to set the discrete data set and the boundaries interval using SetDataSet and SetBoundariesIntervals.

Example

Within this example we work through an illustration in which the cumulative frequency table from above 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}, and if we assign this data set in accordance with the Open Right Boundary (ORB) convention then we will have:

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

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

Exceptions

Exception TypeCondition
StatisticsExceptionThrown if the input data are not given.

See Also

DataPresentation Class | WebCab.Libraries.Statistics.Statistics Namespace