Capability/Performance & Distribution Analysis - Form
This form will perform Capability Analysis, Performance Analysis, and Distribution Analysis.
Distribution Analysis
This form will allow you to fit you data to the following distributions.
- None — No distribution fit.
- Normal — The data is fit with a Normal distribution.
- Exponential (0) — The data is fit with an Exponential distribution, using "0" as the lower bound.
- Exponential (Low) — The data is fit with an Exponential distribution, using lowest value as the lower bound.
- Weibull (2 Param) — The data is fit with a 2-Parameter Weibull distribution.
- Uniform — The data is fit with a Uniform distribution.
- Johnson — The data is fit with a Johnson Distribution, SU, SB, or SL.
- Gamma (0) — The data is fit with a Gamma distribution, using "0" as the lower bound.
- Gamma (Low) — The data is fit with a Gamma distribution, using lowest value as the lower bound.
- Beta — The data is fit with a Beta distribution.
- Rayleigh(0) — The data is fit with a Rayleigh distribution, using "0" as the lower bound.
- Rayleigh(Low) — The data is fit with a Rayleigh distribution, using the lowest value as the lower bound.
Capability Analysis
When specifications are entered, a distribution fit is selected, and the Capability is checked, the following table will be displayed.
Performance Analysis
When specifications are entered and the Performance is checked, the following table will be displayed.
Probability Plot
When the Probability Plot tab is selected the following will be displayed.
When the Linear checkbox is checked the plot will be linearized as follows.
Distribution Calculations
When the Distribution Calculations button is clicked, the following form will be displayed. This form will display observed and calculated tail-areas, or values for a given proportion.
Menu
- File: Provides ability to save or print the chart.
- Edit: Copies the chart (which also may be achieved by double clicking on the chart), and edit the chart titles.
- View: Zoom out after zooming, toggle black-and-white display, use relative frequencies, display process limits, display specifications, or add file modifications to the chart.
- Help: Calls up this Web page.
Speed Buttons
The buttons provide quick access to common tasks. Clicking these buttons do the following tasks:
Returns to the Attributes Chart Setup Form.
Saves the graph to a file.
Prints the graph.
Copies the graph to the clipboard.
Edits the Graph Titles.
Zooms out the graph following a Zoom.
Toggles between Color and Black & White
Brings up the Main Form.
Brings up the Help file.
Hides the form.
Histogram Tab
This tab displays a Histogram/Frequency Polygon of the data.
Probability Plot Tab
This tab will display a probability plot.
Histogram/Frequency Polygon
The Histogram or Frequency Polygon is shown here.
- Frequencies or Relative frequencies may be selected for the Y-Axis.
- The values are displayed along the X-Axis.
- Double Click the chart to copy it to the clipboard.
- Click the title to edit it.
Interval Size
Check to enter an interval size for the Histogram/Frequency Polygon
First Midpoint
Check to enter the first Midpoint of the Histogram.
Histogram Interval Size Used
The Interval Size used in the display is shown here.
First Midpoint Used
The First Interval Midpoint used in the display is shown here.
Histogram-Frequency Polygon Selection
You may select a Histogram or Frequency Polygon for display.
Interpolate
Checking this box will modify the analysis of discrete data and will treat like values by spreading them uniformly across the interval.
Constant X-Axis
When this is checked, multiple analysis groups will have a fixed X-axis. This is useful for comparing different groups or sets.
Distribution Calculations
Click this to bring up a form to perform calculations on the distribution, such as tail-area probabilities.
Analysis Variables
These are the variables or sets that may be selected for analysis.
Capability/Performance Selection
This selects between a Performance and Capability assessment.
Distribution Selection
You may select a distribution to fit to the data set here. The choices are as follows.
- None — No distribution fit.
- Normal — The data is fit with a Normal distribution.
- Exponential (0) — The data is fit with an Exponential distribution, using "0" as the lower bound.
- Exponential (Low) — The data is fit with an Exponential distribution, using lowest value as the lower bound.
- Weibull (2 Param) — The data is fit with a 2-Parameter Weibull distribution.
- Uniform — The data is fit with a Uniform distribution.
- Johnson — The data is fit with a Johnson Distribution, SU, SB, or SL.
- Gamma (0) — The data is fit with a Gamma distribution, using "0" as the lower bound.
- Gamma (Low) — The data is fit with a Gamma distribution, using lowest value as the lower bound.
- Beta — The data is fit with a Beta distribution.
- Rayleigh(0) — The data is fit with a Rayleigh distribution, using "0" as the lower bound.
- Rayleigh(Low) — The data is fit with a Rayleigh distribution, using the lowest value as the lower bound.
Stats Checkbox
Checking this box will output sample statistics in the table below.
Fit Checkbox
Checking this box will output distribution fit statistics in the table below.
Capability Checkbox
Checking this box will output Capability indexes in the table below.
Parameters Checkbox
Checking this box will output distribution parameters in the table below.
Decimal Place Selection
This is used to change the decimal place output in the table below.
Statistics
These are the sample statistics.
Distribution Parameters
These are the Distribution Parameters
Distribution Fit
This is a fit of the distribution. Depending on the distribution selected, statistical tests may be shown here. A relative fit is also displayed.
Display
Select how you want your output/input configured.
- Percent
- Proportion
- ppm (Parts per million)
- ppb (Parts per billion)
Decimal Places
Enter the decimial places to be output.
Want
Select whether you want to find values above or below, or wish to enter an area above or below.
- Proportion Below
- Proportion Above
- Value (Given Upper-Proportion)
- Value (Given Lower-Proportion)
Value
Enter your value here. This will be either a proportion or a value, dependending on your selection.
Proportion Above/Below or Area
The proportion calculated will be displayed here.
Observed Above/Below
The proportion observed in the sample will be displayed here.
Action Button
Click this to perform the calculations. The results will be displayed above.
Close Button
Click this to close this form.
