Visual-XSel Introduction & SixSigma Selected statistical methods, examples and SixSigma with Visual-XSel Copyright CRGRAPH

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1 Selected statistical methods, examples and SixSigma with Visual-XSel 14.0

2 Main Guide The Main Guide shows three important statistical methods: DoE, Reliability and Capability analyses. A pre investigation for DoE is to find the relevant parameters with the System Analysis. Most of the methods are available as templates. The calculation is open source an can be easily understood. further dialogs templates

3 Main Guide For superior methods and topics, there are detailed descriptions in which the respective "tools" are linked. Hypothesentests

4 Data and reprasentation An Excel-like table is available on the left, whose width is automatically aligned with the data, or can be adapted manually. On the right there is the main window for all diagramme, output etc. The representation is exact what you get at printing out.

5 Menu bar click on table click to main window If necessary, additional icons are displayed on the right side. In this example typical icons for colour, brush and drawing elements are shown.

6 Special paste To paste data from the clipboard use the icon Paste special or the menu Edit/Paste contents/ transform before paste.. With the following dialog the most frequently used transforms are available, e.g. transpose. Note: This function should also be used if you want to import columns from PDF files separated by spaces. Otherwise, all the columns of the PDF file are copied into one column.

7 Filter & quick statistics Click on the first row, or mark the column, a filter symbol appears Depending on the data, a frequency distribution is shown (numerical are classified here). The statistics below show the most important characteristic values as well as a statistical test for normal distribution. click here to copy the results to the clipboard

8 Statistical methods/functions There are three ways to apply statistical methods. Diagram-functions Internal functions Templates e.g. test of normality, hypothesis of equality with Boxplot or test of normality Select Diagram e.g. calculation of distributions, DoE, regression, sample size, etc. Select menu Statistics e.g. hypothesis-test, or Weibull-Analysis. Select menu StatTempl., or menu File/Templates

9 Examples for diagram functions Examples from the diagram functions are shown first Diagram functions Internal functions Templates e.g. test of normality, hypothesis of equality with Boxplot or test of normality Select Diagram e.g. calculation of distributions, DoE, regression, sample size, etc. Select menu Statistics e.g. hypothesis-test, or Weibull-Analysis. Select menu StatTempl., or menu File/Templates

10 Creating a Histogram Click in left area of the program to make visible the spreadsheet Input data beginning at 2nd row move the mouse over the diagram

11 Set a limit, for example for process capability move mouse along the gaussian curve click the right mouse button and use Limit (hint: no element has to be clicked before and the mouse must be over the diagr.)

12 Creating a Weibull-chart User File / New T = b = 1.65 t T H 0% 1 e b - = - t = 1568 R² = % Unreliability Life time

13 Boxplot with category Cylinder Menu Data/Spreadsheet and open file: Example_PLS_Consumption.vxt Cons Cy=4 Cy=6 Cy=8

14 2nd Boxplot with category Fuel Open Data/Spreadsheet T1 and mark column H Add diagram with symbol (+) two categories Cons Cy=4 Fu=Dies; Fu=Dies; Cy=6 Fu=Gas; Cy=4 Fu=Gas; Cy=6 Fu=Gas; Green arrows between Boxplots means that there is no statistical difference in consumption (u-test). Red lines indicate a significant difference Cy=8

15 Examples for diagram functions The following examples show internal functions Diagram functions Internal functions Templates e.g. test of normality, hypothesis of equality with Boxplot or test of normality Select Diagram e.g. calculation of distributions, DoE, regression, sample size, etc. Select menu Statistics e.g. hypothesis-test, or Weibull-Analysis. Select menu StatTempl., or menu File/Templates

16 Statistical characteristics If the data column has to be grouped, select additional columns with attributes Results in sheet Summary

17 How to calculate distribution values or the z -value If using the Inverse normal distribution with mean = 0 and std-dev = 1, the result x (normally the quantile) has in this case the meaning of the so called z -value

18 Standard Regression Menu Data/Spreadsheet and open file: Example_PLS_Consumption.vxt y = e x r = Cons Cons Weight

19 Creating Experiments - DoE Start the Experiment dialog via icon, or via Main Guide, or menu Data Use adequate Model and Type. Perhaps define constrains and other options. Create Experiment with button Create. Define Factors and follow the steps marked with a green triangle Input measurements for response column and start icon Data-Analysis input data

20 Data analysis Multiple Regression Menu Data/Spreadsheet and open file: Example_MulReg.vxt Copyright CRGRAPH 2017 follow the next steps

21 Data Analysis Multiple Regression Choose step-wise regression and the model is reduced by the non-significant terms. Click to one of the terms and more explanation appears. To present the results, use the bold marked diagrams

22 Calculation of a spot check size Example car wash: The drying time of a varnish should be examined. It should be reached an exactness from 0,5 hrs. The drying time has a standard deviation of 2 hrs. How big has to be the necessary sample size? The calculation can occur with the Calculator (view of the main window): Hint: At step there must be clicked the right mouse button (formula: Metrical sample size) The result of is rounded up and proves therefore n=62

23 Cause-effect-diagrams double click edit text use the right mouse button for more functions. For more information read

24 Fault-Tree-Analysis Click to one of the elements and use the right mousebutton See example in menu File, Templates, System-Analysis at basis-events there can defined a probability For more information read

25 Examples for templates The other examples treat templates Diagram functions Internal functions Templates e.g. test of normality, hypothesis of equality with Boxplot or test of normality Select Diagram e.g. calculation of distributions, DoE, regression, sample size, etc. Select menu Statistics e.g. hypothesis-test, or Weibull-Analysis. Select menu StatTempl., or menu File/Templates

26 Where can I find the SixSigma-Table? Use File/Templates/12_Six Sigma and open the file Cpk_Sigma_Table.vxg Sigma Cp Cpk** inside %* , outside %* E E E E E E-08 ppm* ppm-ss** * one sided without mean displacement ** one sided with mean displacement of 1.5 s inside outside Sigm a

27 Statistical t-tests via templates Open the Spreadsheet and the tablewhere are the sub-groups of the Boxplots. Mark column A and B. Note: The template for the test is embedded in the actual project. To have a view to the previous representation an data select Main-project!

28 Check type of distribution \Templates\_Distributions\Distribution_Comparison_Test.vxg Distribution Test Norm al- distribution Log- norm al- distribution Folded- norm al- distribution _ x = ±18.1 s = p value = 0 50 % _ xlog = s log = p value = % = p value = 0 50 % 40 Frequency The best distribution is this one with the greatest p value Exponential- distribution W eibull- distribution Mixed- distribution = p value = % T = b = 1.19 p value = x1 = s 1 = x2 = s 2 = q = 0.73 p value = % %

29 Measurement-capability Type 1 Cg/Cgk Example: \Templates\07_Measurement_System_Analysis\ Measurement_System_Analysis_Type1_CgCgk.vxg

30 Be successful and enjoy it. More information's at and (on the right side) Contact: