MLGI {GRRGI}R Documentation

Maximum Likelihood Estimates of Variance and Generalized Inference Confidence Limits for Gauge R and R Data

Description

Returns a matrix of the Maximum Likelihood Estimates of Variance for gauge R and R studies. Also provides the confidence intervals using Gerneralized Inference as shown on pages 245-246 in the paper by Hamada and Weerandi.

Usage

MLGI(data, prob, N)

Arguments

data Gauge R and R data, a matrix with columns named 'resp', 'part' and 'operator' in any order
prob desired confidence limits such as 0.95 - a constant between 0 and 1
N desired number of simulations for Gerneralized Inference

Details

Returns a matrix with 17 rows and four columns with the estimates: The standard deviations: 'SD:Part', 'SD:Operator', 'SD:PartOp', 'SD:Repeat', 'SD:Reproduce', 'SD:Gauge', 'SD:Total'. The Variances: 'Var:Part', 'Var:Operator', 'Var:PartOp', 'Var:Repeat', 'Var:Reproduce', 'Var:Gauge', 'Var:Total'. The ratios: 'Gauge/Total', 'Gauge/Parts', 'Repeat/Gauge'. The columns are 'ML est', 'Lower GI', 'Mid GI', 'Upper GI'. The Lower and Upper GI are the Generalized Inference confidence limits. 'MLGI' will eliminate the 'part*operator' interaction factor if the P value of the likelihood ratio test is greater than 0.25.

Value

A matrix with 17 rows and four columns with the estimates.

Note

The 'data' argument needs to be a matrix with columns named 'resp', 'part' and 'operator'.

Author(s)

Walter Resch walt55128@msn.com

References

Package is based on Michael Hamada and Sam Weerandi (July 2000) Measurement System Assessment Via Generalized Inference, Journal of Quality Technology 32, 241-253

See Also

anovasat, RRgraph, ratiograph

Examples

data(HWstudy1)
MLGI(HWstudy1,0.95,1000)

[Package GRRGI version 1.0 Index]