Process Capability Analysis Normal and General Non-Normal Distribution (Aggregated Data) - Quick Tab

The Quick tab of the Process Capability Analysis Normal and General Non-Normal Distribution (Aggregated Data) dialog box contains options to specify the engineering tolerances and the Sigma limits to be used for the computation of the capability and performance indices.

Summary: Descriptive statistics

Click the Summary: Descriptive statistics button to produce a spreadsheet that contains the engineering tolerances and capability indices (for detailed description of these values see Process Capability Indices).

Type

The Type box contains four options: Nominal ± delta; Lower, Nominal, Upper; Lower, Nominal; and Nominal, Upper.

Use these options to specify which method (see descriptions below) you want to use to enter the specification range (via Specifications, see below). For details regarding these methods and the meaning of the specification range, refer to the Introductory Overview.

Nominal ± delta

When the default setting, Nominal ± delta, is selected, Statistica expects you to enter the nominal target specification and the deviation (Delta) defining the specification range.

Lower, Nominal, Upper

When you select Lower, Nominal, Upper, Statistica expects you to enter the lower specification limit (LSL), nominal target specification, and the upper specification limit (USL).

In this setting, you can define a specification range that is asymmetrical about the design center (nominal target).

Lower, Nominal

Select Lower, Nominal in order to set one-sided specification limits.

Nominal, Upper

Select Nominal, Upper in order to set one-sided specification limits.

Nominal value

Select this check box in order to specify a nominal value; clear the check box to omit the nominal value.

Nominal value, ± Delta value, Lower specification limit, and Upper specification limit (Specifications)

Use these options to enter the nominal target specification, Delta value, and the lower and upper specification limits (specification range).

The options that are available is dependent upon the setting of the Type box (see above).

User-defined mean

By default, the mean is estimated from the data.

However, if the User-defined mean check box is selected, you can specify a different mean value in the adjacent box, or adjust the value using the microscrolls.

User-defined sigma

By default, the process standard deviation (Sigma) is estimated from the data.

However, if the User-defined sigma check box is selected, you can specify a different Sigma value in the adjacent box, or adjust the value using the microscrolls.

Computation of Sigma

  • If the Ranges option button is selected on the Process Capability Analysis Setup Aggregated Data - Advanced tab, then the within-sample Sigma is estimated as R-bar/d2 . See, for example, Montgomery, 1985, 1991. See also Quality Control.
  • If the Standard Deviations option button is selected, Statistica computes the within-sample Sigma as S-bar/c4 .   See, for example, Montgomery, 1985, 1991.
  • If the Variances option button is selected, Statistica will compute the square root of the average within-sample variance.

Sigma limits

These limits will determine the process range that is used for the computation of the process (machine) capability indices (see Process Capability Indices). In short, this value determines what is considered the practical range of values produced by the process.

The default setting, 6 times Sigma (± 3 times Sigma), is the commonly recommended value.

The limits specified here will be applied to the average within-sample Sigma, computed from the within-sample ranges, standard deviations, or variances.