Statistical Analysis

Statistical managing using main tree

To create statistical analysis (as well as other analysis) just right click on the "Statistical analysis" item. Context menu with "New analysis" option will appear. Clicked, new analysis will appear on the tree. Clicking on the sub items subitems of the analysis user can set up parameters of the analysis. It will be described more preciselly below. To start computations rightclick on the analysis item. context menu will apeearr with "start analysis" option. Last item of each analysis is "Result" item. Color of this item reflects status of the analysis. Lack of the item means the computations wasn't started yed. Disabled state means the files with results was deleted. Red color means the computations failed or interrupted. Green color states the computations finished correctly and all results are available to view.

"Random variables table"

Setting parameters of statistical analysis

Variable selection

Determination of set of random variables is curcial for statistical problem statement. Often fast reduction of random variables set is needed. Excluded variable is replaced by constant. Doe exclude variable form analysis click on "variables" tree subitem. Desribed below dialog box will apear:

"Random variables table"

if particular variable is selected it will be used in the analysis. If not constant value will be used taken from secong column.Note that: Set of dependent random variables is setermined automatically by selecting function. This window will be empty if no function is selected. So user can eliminate a variable only. To add a variable, definition of limit state function have to be enriched.

Function selection

User can select function (which statistic is to be computed) by clicking "Function" tree subitem. Selection dialog is opened:

"Random variables table"

Function selection determines also set of variables to be used in the analysis. All tree items in tree window displays variable dependece after limit state function selection.selection.

Analysis parameters

Two sampling method are implemented in Numpress Explore: Random sapmling and Latin Hypercube sampling. Selection is made in Sampling setub dialod by choosing proper tab:

Random sampling

"Sampling setup"

Parameters of random sampler: Sample size is numper odf points to be use in simulations.

Polynominal chaos expansion

"Sampling setup"

Parameters of random sampler: Sample size is numper odf points to be use in simulations. "Polynominal order": order of polynominal used to estimate moments by polynominal chaos expansion