WebCab Probability and Statistics for .NET v3.3 Demo

DataPresentation Class

The DataPresentation class provides several tabular procedures commonly used to summarize quantitative data.

For a list of all members of this type, see DataPresentation Members.

System.Object
   DataPresentation

public class DataPresentation

Remarks

Towards this end we offer methods for the evaluation of the frequency table, relative frequency table and cumulative frequency table for a finite set of (real) numerical values.

Further Explanation

Frequency Tables

A frequency table is a tabular summary of a data set which counts the number of elements from the data set lying in each of the classes given by the boundary points defined in accordance with the open left or open rights boundary convention.

Say for example the boundary points used are {b_1, b_2, ..., b_n}, now if the open left boundary convention is used then the members of the data set will be assigned to the sub-intervals (or classes):

(-infinity, b_1], (b_1, b_2], (b_2, b_3], (b_3, b_4], (b_4, b_5], (b_5, infinity)

If the open right convention is used then the members of the data set will be assigned to the sub-intervals (or classes):

(-infinity, b_1), [b_1, b_2), [b_2, b_3), [b_3, b_4), [b_4, b_5), [b_5, infinity)

The frequency tables with respect to the open left and open right boundary conventions are evaluated using one of FrequencyTableOL or FrequencyTableOR respectively. However, before these methods are called you are required to set the data set considered and the boundary points used by called SetDataSet and SetBoundariesIntervals.

Relative Frequency Table

A relative frequency table (or distribution) calculates the proportion of the total number of items belonging to each class. The data set (or total number of items) is set using the method SetDataSet. The classes are given by setting the boundary values of the sub-intervals of the real line by calling the method SetBoundariesIntervals.

Cumulative Frequency Table

A cumulative frequency table (or distribution) sum the values of the frequency table above or below a given class. This allows us to know the number of items which are ``less than or equal to the upper class limit'' or ``greater than or equal to the lower class limit'' of each class. The cumulative frequency table or distribution) can be evaluated in the four possible cases by using one of the methods:

  1. CFrequencyTableBOL - Evaluates the Cumulative Frequency Table from below using the open left boundary convention.
  2. CFrequencyTableBOR - Evaluates the Cumulative Frequency Table from below using the open right boundary convention.
  3. CFrequencyTableAOL - Evaluates the Cumulative Frequency Table from above using the open left boundary convention.
  4. CFrequencyTableAOR - Evaluates the Cumulative Frequency Table from above using the open right boundary convention.

Requirements

Namespace: WebCab.Libraries.Statistics.Statistics

Assembly: WebCab.Libraries.StatisticsDemo (in WebCab.Libraries.StatisticsDemo.dll)

See Also

DataPresentation Members | WebCab.Libraries.Statistics.Statistics Namespace