visual-xsel introduction & sixsigma selected statistical ... · where can i find the...

Visual-XSel Introduction & SixSigma

© Copyright CRGRAPH 2020 www.crgraph.com

Selected statistical methods, examples and SixSigma

with Visual-XSel 15.0



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 methods are open source, can

be viewed and easily modified.

Further dialogs Templates

Main Guide

Help & detailed PDFThis icon starts the

Main Guide



Main Guide

Hypothesen-

tests

For superior methods and topics, there are detailed descriptions in which the respective

"tools" are linked.



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.



Menu bar

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.

The menu bar shows, depending on whether you are within the table on the left or in the main

window on the right, suitable options

on the right.



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.



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 charac-

teristic values as well as a

statistical test for normal

distribution.

click here to

copy the results

to the clipboard



Detailled statistical characteristics

Results in sheet

„Summaryx“



Statistical methods/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 distribu-

tions, DoE, regression,

sample size, etc.

Select menu Statistics

e.g. hypothesis-test, or

Weibull-Analysis.

Select menu

File/Templates

There are three ways to apply statistical methods.



Examples for diagram functions

Examples from the diagram functions are shown first





Select Diagram



sample size, etc.



Weibull-Analysis.

Select menu

File/Templates



Creating a Histogram

Input data

beginning

at 2nd row

move the mouse over the

diagram

Click in left area of the program to make visible the spreadsheet



Set a limit, for example for process capability

click the right mouse button and use Limit

(hint: no element has to be clicked before

and the mouse must be over the diagr.)

move mouse along the

gaussian curve



Reliability & Weibull

The most important reliability issues are available via the

icon Weibull.

The Weibull Analysis Guide pilots you through more

methods, especially for variants of the Weibull-chart.



Creating a Weibull-chart

define here the number of faults and suspensions (marked with „-“).

define here the running times

Move with the mouse over

the formula, to get expert

information

Move with the mouse over the chart for crosslines

Define running times (col A) and frequencies,

(col B) or use Paste.

Click the Weibull icon and define the axis

titles.

More informations www.weibull.de/COM/Weibull_Analysis.pdf



Boxplot with category „Cylinder“

Menu Data/Spreadsheet and open file:

Examples/Example_PLS_Consumption.vxt

Cy=4 Cy=6 Cy=8

Co

ns

2

4

6

8

10

12

14

16

Cy=4 Cy=6 Cy=8

Co

ns

2

4

6

8

10

12

14

16



4=yC ;sei

D=uF

6=yC ;sei

D=uF

4=yC ;sa

G=u

F

6=yC ;sa

G=u

F

8=yC ;sa

G=u

F

Co

ns

4

6

8

10

12

14

2nd Boxplot with category Fuel

Open Data/Spreadsheet T1 and mark column H

Add diagram with symbol (+)

Green arrows between

Boxplots means that

there is no statistical

difference in consump-

tion (u-Test).

Red lines indicate a

significant difference

two categories



Examples for diagram functions

The following examples show internal functions





Select Diagram



sample size, etc.



Weibull-Analysis.

Select menu

File/Templates



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



Standard Regression


Example_PLS_Consumption.vxt

y 1.69580064 e0.0008773 x·

·= r = 0.579

Cons

Weight

1350 1400 1450 1500 1550 1600 1650 1700 1750 1800 1850 1900

Co

ns

4

6

8

10

12

14



Creating Experiments - DoE

Start the Experiment dialog via icon,

or via Main Guide,

or menu Data

Define Factors and follow the steps marked with

a green triangle

Use adequate Model and Type.

Perhaps define constrains and other options.

Create Experiment with button „Create“.

Input measurements for response column

and start icon Data-Analysis

input data



Data analysis Multiple Regression


Example_MulReg.vxt

follow the next steps



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



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):

Calculation of a spot check size

The result of 61.46 is rounded up and proves

therefore n=62

Hint: At step there must be clicked

the right mouse button (formula:

Metrical sample size)



Cause-effect-diagrams

More information can be found at:

http://www.weibull.COM/crgraph.com/Systemanalysis.pdf

double click edit text

use the right mouse button

for more functions.



Click to one of the

elements and use

the right mouse-

button

at basis-events there

can defined a probability

See example in menu File,

Templates,

System-Analysis

For more information read http://www.weibull.de//COM/Fault_Tree_Analysis.pdf

Fault-Tree-Analysis



Examples for templates

The other examples treat templates





Select Diagram



sample size, etc.



Weibull-Analysis.

Select menu

File/Templates



Where can I find the SixSigma-Table?

Sigma

1

1.5

2

2.5

3

3.5

4

4.5

5

5.5

6

*

**

Cp

0.33

0.50

0.67

0.83

1.00

1.17

1.33

1.50

1.67

1.83

2.00

one sided without mean displacement

one sided with mean displacement of 1.5 s

Cpk**

-

0.00

0.17

0.33

0.50

0.67

0.83

1.00

1.17

1.33

1.50

inside %*

84.13

93.32

97.72

99.38

99.87

99.98

99.9968

99.9997

99.99997

99.999998

100

outside %*

15.87

6.68

2.28

0.621

0.135

2.33E-02

3.17E-03

3.40E-04

2.87E-05

1.90E-06

9.87E-08

ppm*

158655

66807

22750

6210

1350

233

32

3.4

0.287

0.019

0.001

ppm-SS**

691462

500000

308538

158655

66807

22750

6210

1350

233

32

3.4

99,9999999

Sigma

inside

outside

Use File/Templates/12_Six Sigma

and open the file

Cpk_Sigma_Table.vxg



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!



Check type of distribution

\Templates\10_Distributions\Distribution_Comparison_Test.vxg

The best distribution

is this one with the

greatest pvalue

0 100 200 300 400 500

Fre

qu

en

cy

0

10

20

30

40

50

%

0

10

20

30

40

50x_ = 84.577±18.1 s = 91.88197 pvalue = 0

Distribution Test

0 100 200 300 400 500

0

10

20

30

40

50

%

0

10

20

30

40

50x_

log = 3.9624 slog = 1.029646 pvalue = 0.998

0 100 200 300 400 500

0

10

20

30

40

50

%

0

10

20

30

40

50 = 92.78222 pvalue = 0.00129

0 100 200 300 400 500

0

10

20

30

40

50

%

0

10

20

30

40

50T = 84.70171 b = 1.19 pvalue = 0.0158

0 100 200 300 400 500

0

10

20

30

40

50

%

0

10

20

30

40

50x_

1 = 43.954 s1 = 24.17744 x_

2 = 204.42 s2 = 126.7685 q = 0.73 pvalue = 0.00952

0 100 200 300 400 500

0

10

20

30

40

50

%

0

10

20

30

40

50 = 69.84962 pvalue = 0

Normal- distribution Log- normal- distribution Folded- normal- distribution

Exponential- distribution Weibull- distribution Mixed- distribution



Measurement-capability Type 1 Cg/Cgk

Example: \Templates\07_Measurement_System_Analysis\

Measurement_System_Analysis_Type1_CgCgk.vxg



Be successful and enjoy it….

More information's at

http://www.crgraph.com/Topics.htm

and

http://www.crgraph.com/Software.htm

(on the right side)

Contact: [email protected]

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