Statistics component

Proc code - Solutions - STATISTICS

Statistics component.

This is a component (STATX service) that allows you some statistics operations.

The operations in the statx service are:

DATA COLLECTION OPERATIONS

AddItem(item) : adds the item to the sample set. $status returns the item count
AddList(list) : adds a list of sample to set .$status returns the item count

MESURES OF CENTRAL TENDENCY OPERATIONS

Average(value): returns in value the Arithmetic mean of all the items.
HAverage(value): returns in value the Harmonic mean of all the items.
Median(value): returns the median (central value) of the set (see performace issue)
Mode(value,freq): returns the mode (most repeated value) and its frequency (see performace issue)

MESURES OF VARIABILITY OPERATIONS

Range(value): returns in value the difference between the maxim and minimum values
Max(value): returns in value the maxim value of the sample set
Min(value): returns in value the minimum value of the sample set
Variance(value): returns in value the sample variance (see performace issue)
PVariance(value): returns in value the population variance (see performace issue)
StDeviation(value): returns in value the sample standard deviation (see performace issue)
PstDeviation(value): returns in value the standard deviation for the population (see performace issue)

MISCELANEOUS OPERATIONS

Count(value): returns in value the number of samples
Sum(value): returns in value the sum of samples
Sum2(value): returns in value the sum of the sample^2
GetList(list): returns the list of items
GetSortedList(list): returns the sorted list of items
SaveDisable: Disable saving item list (see performace issue)
ChangeSortAlg({"Q"|"B"}). Set the Quicksort or BubbleSort as sorting algorithm (Q is the default) (see performace issue)

HTML OPERATIONS

HTMLTable(poperties,table): returns a string with the HTML code of a table for representing a bar graph of sample using the specified properties.

The properties parameter is a list where you can specify:

`ORDER`	Y\|N If you want order by value or not the list (default Y)
`HEADER`	The text of the table header
`HCOLOR`	The background colour of the table header (default #FFFFCC)
`IMAGE`	The 1x1 pixel image to show as bar (default dot.gif included in this sample)
`CCOLOR`	The background colour of the columns (default #FFFFFF)
`HEIGHT`	The height of the table (default is the maxim value of the samples)
`WIDTH`	The table width (default is number of sample * 12)
`VALUE`	Y\|N If you want include the value of every column (default is N)
`FOOT`	Y\|N If you want include the sample position as table foot (default is Y)
`FCOLOR`	The background colour of the foot columns (default is #FFFFFF)

NOTE

$status contains >= 0 if all is right and <0 if there occurs an error (for instance there are no samples).

PERFORMANCE ISSUE.

If you don’t need calculating the median, mode, arithmetic average you can use the SaveDisable operation in order to have a better performance.

Depending of the characteristics of your data and system you can use the ChangeSortAlg operation to change form QuickSort (recursive) to BubbleSort (non-recursive) algorithm.

The statx.zip file is composed by:

The STATX service (in the statx.trx)
The TESTSTATX form to test the STATX service (in the statx.zip)
dot.gif is a image used as default for HTML table creation operation.