# FLEXPROD: The Quinlan Experiment at Flex Products In mistat: Data Sets, Functions and Examples from the Book: "Modern Industrial Statistics" by Kenett, Zacks and Amberti

 FLEXPROD R Documentation

## The Quinlan Experiment at Flex Products

### Description

Flex Products is a subcontractor of General Motors, manufacturing mechanical speedometer cables. The basic cable design has not changed for fifteen years and General Motors had experienced many disappointing attempts at reducing the speedometer noise level.

### Usage

`data(FLEXPROD)`

### Format

A data frame with 16 observations on the following 16 variables.

`A`

Liner O.D., a factor with levels `1` `2`

`B`

Liner Die, a factor with levels `1` `2`

`C`

Liner Material, a factor with levels `1` `2`

`D`

Liner Line Speed, a factor with levels `1` `2`

`E`

Wire Braid Type, a factor with levels `1` `2`

`F`

Braiding Tension, a factor with levels `1` `2`

`G`

Wire Diameter, a factor with levels `1` `2`

`H`

Liner Tension, a factor with levels `1` `2`

`I`

Liner Temperature, a factor with levels `1` `2`

`J`

Coating Material, a factor with levels `1` `2`

`K`

Coating Dye Type, a factor with levels `1` `2`

`L`

Melt Temperature, a factor with levels `1` `2`

`M`

Screen Pack, a factor with levels `1` `2`

`N`

Cooling Method, a factor with levels `1` `2`

`O`

Line Speed, a factor with levels `1` `2`

`SN`

Signal to noise ratio, a numeric vector

### Details

Problem Definition: the product under investigation is an extruded thermoplastic speedometer casing used to cover the mechanical speedometer cable on automobiles. Excessive shrinkage of the casing is causing noise in the mechanical speedometer cable assembly.

Response variable: the performance characteristic in this problem is the post extrusion shrinkage of the casing. The percent shrinkage is obtained by measuring approximately 600mm of casing that has been properly conditioned (A), placing that casing in a two hour heat soak in an air circulating oven, reconditioning the sample and measuring the length (B). Shrinkage is computed as: Shrinkage = 100 * (A-B)/A.

Factor Levels: Existing (1) - Changed (2)

Number of Replications: four random samples of 600mm from the 3000 feet manufactured at each experimental run.

Data Analysis: signal to noise ratios (SN) are computed for each experimental run and analyzed using main effect plots and an ANOVA. Savings are derived from Loss function computations.

The signal to noise formula used by Quinlan is:

η = -10 log_10 (1/n ∑ y^2)

### Source

Kenett, R. and Zacks, S. (1998) Modern Industrial Statistics: The Design and Control of Quality and Reliability. Duxbury Press.

### Examples

```data(FLEXPROD)

aov(SN ~ . , data=FLEXPROD)
```

mistat documentation built on March 7, 2023, 6:43 p.m.