Calculate Gauge Repeatability and Reproducibility.

gageRR

Analyzing measurement system error is a critical component of the manufacturing process in numerous industries. While a number of methods exist to analyze measurement error they can all be broadly described as repeatability and reproducibilty studies (or often referred to as Gage R&R studies). Industries can then provide guidelines or limitations on the amount of error that is acceptable for a given product feature based on the outcome of a Gage R&R study.

The gageRR package provides two methods to analyze repeatability and reproducibility: Analysis of Variance (ANOVA) method and Average and Range method. These methods require a balanced study, that is the same number of repetitions for each operator and part combination.

Installation

You can install the development version of gageRR from GitHub with:

# install.packages("devtools")
devtools::install_github("warrenjonahb/gageRR")

After installation you can run the Shiny App with:

shiny::runApp(system.file("app", package = "gageRR"))

Example

This is a basic example which takes the appropriately formatted data (one row per operator and part measurement) and calculates summary gage evaluation statistics. For more information please see the gageRR_vignette.

Here, a sample dataset is created to demonstrate the gageRR functions:

library(gageRR)
data = data.frame(
SN = c(
'SerialNumber_01',
'SerialNumber_01',
'SerialNumber_02',
'SerialNumber_02',
'SerialNumber_01',
'SerialNumber_01',
'SerialNumber_02',
'SerialNumber_02'),

Operator = c(
'Operator_01',
'Operator_01',
'Operator_01',
'Operator_01',
'Operator_02',
'Operator_02',
'Operator_02',
'Operator_02'),

Measure = c(
0.0172,
0.0177,
0.0155,
0.0159,
0.0174,
0.0181,
0.0152,
0.0176))

Next we can calculate the sum of squares and ANOVA variance components:

ss_calcs(data, part = 'SN', operator = 'Operator', meas = 'Measure')
#> $reps
#> [1] 2
#> 
#> $num_parts
#> [1] 2
#> 
#> $num_opers
#> [1] 2
#> 
#> $SS_oper_error
#> [1] 5e-07
#> 
#> $SS_part_error
#> [1] 4.805e-06
#> 
#> $SS_equip_error
#> [1] 3.33e-06
#> 
#> $SS_op_part_error
#> [1] 8e-08
#> 
#> $SS_total_error
#> [1] 8.715e-06
anova_var_calcs(data, part = 'SN', operator = 'Operator', meas = 'Measure')
#> $total_grr
#> [1] 9.375e-07
#> 
#> $repeatability
#> [1] 8.325e-07
#> 
#> $reproducibility
#> [1] 1.05e-07
#> 
#> $part_to_part
#> [1] 1.18125e-06
#> 
#> $total_var
#> [1] 2.11875e-06

With these variance components we can then calculate the final gage evaluation statistics:

grr_calc(data, part = 'SN', operator = 'Operator', meas = 'Measure', LSL = 0, USL = .040, method = 'anova')
#> $VarianceComponents
#>                     VarComp PercentContribution
#> total_grr       9.37500e-07          0.44247788
#> repeatability   8.32500e-07          0.39292035
#> reproducibility 1.05000e-07          0.04955752
#> part_to_part    1.18125e-06          0.55752212
#> total_var       2.11875e-06          1.00000000
#> 
#> $GageEval
#>                       StdDev    StudyVar PercentStudyVar PercentTolerance
#> total_grr       0.0009682458 0.005809475       0.6651901       0.14523688
#> repeatability   0.0009124144 0.005474486       0.6268336       0.13686216
#> reproducibility 0.0003240370 0.001944222       0.2226152       0.04860556
#> part_to_part    0.0010868533 0.006521120       0.7466740       0.16302799
#> total_var       0.0014555927 0.008733556       1.0000000       0.21833890
#> 
#> $AnovaTable
#>             Df    Sum Sq   Mean Sq F value Pr(>F)  
#> Operator     1 5.000e-07 5.000e-07   0.601 0.4816  
#> SN           1 4.805e-06 4.805e-06   5.772 0.0742 .
#> Operator:SN  1 8.000e-08 8.000e-08   0.096 0.7720  
#> Residuals    4 3.330e-06 8.330e-07                 
#> ---
#> Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1