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Package overview

IQCC-package IQCC
IQCC: Improved Quality Control Charts

Univariate location and dispersion

Shewhart charts and distribution-aware limits for continuous measurements.

cchart.Xbar()
X-bar Control Chart for Phase I and Phase II
cchart.Xbar1()
Phase I X-bar Shewhart Control Chart
cchart.Xbar2()
Phase II X-bar Shewhart Control Chart
cchart.Xbar_R()
X-bar and R Control Charts
cchart.R()
Range Control Chart
r_shewhart_limits()
Conventional Three-Sigma Limits for the R Chart
r_exact_limits()
Exact Probability Limits for the R Chart
cchart.S()
Standard-Deviation Control Chart
alpha.risk()
False-Alarm Probability for the Three-Sigma R Chart
c4()
Bias Correction Constant for Sample Standard Deviation
d2()
Mean of the Relative Range
d3()
Standard Deviation of the Relative Range

Attribute control charts

Limits and false-alarm calculations for binomial and Poisson monitoring.

pchart_limits()
Probability Limits for p Charts
pchart_alpha_risk()
Exact False-Alarm Risk for p-Chart Limits
cchart.p()
p-chart
uchart_limits()
Probability Limits for u Charts
uchart_alpha_risk()
Exact False-Alarm Risk for u-Chart Limits
cchart.u()
u-chart

Double-sampling np charts

Exact-binomial design, performance evaluation, and operational monitoring.

dsnp_prob_accept()
Double-Sampling np Chart: Acceptance Probability
dsnp_arl()
Double-Sampling np Chart: Average Run Length
dsnp_ass()
Double-Sampling np Chart: Average Sample Size
dsnp_limits()
Double-Sampling np Chart: Limit Search
dsnp_design() print(<dsnp_design>)
Double-Sampling np Chart: Complete Design Search
cchart.DSnp()
Double-Sampling np Control Chart
print(<cchart.DSnp>) summary(<cchart.DSnp>) print(<summary.cchart.DSnp>)
Print and Summarize a Double-Sampling np Control Chart
plot(<cchart.DSnp>)
Plot a DS-np Control Chart

Multivariate monitoring

Hotelling T-squared and generalized variance charts.

T2.1()
Hotelling T² Statistic for Phase I
T2.2()
Hotelling T² Statistic for Phase II
cchart.T2.1()
Phase I Hotelling T² Control Chart
cchart.T2.2()
Phase II Hotelling T² Control Chart
gv_stat()
Generalized Variance by Subgroup
gv_limits()
Generalized Variance Control Limits
gv_alpha_risk()
False-Alarm Risk for Generalized Variance Charts
cchart.GV() plot(<cchart.GV>)
Generalized Variance Control Chart
trv_stat()
Trace Statistic for Multivariate Variability
trv_limits()
Trace-Statistic Control Limits
trv_alpha_risk()
False-Alarm Risk for Trace-Statistic Charts
cchart.trV() plot(<cchart.trV>) print(<cchart.trV>) summary(<cchart.trV>) print(<summary.cchart.trV>)
Trace-Statistic Control Chart
print(<cchart.GV>) summary(<cchart.GV>) print(<summary.cchart.GV>)
Print and Summarize a Generalized Variance Control Chart

Data preparation and utilities

data.1()
Simulate Phase I Multivariate Normal Data
data.2()
Simulate Phase II Multivariate Normal Data
add.data()
Add a New Observation to a Phase II T² Chart
remove.data()
Remove an Observation from Phase I Data
stats()
Auxiliary Statistics for Hotelling T² Charts
table.const()
Table of Control Chart Constants d2, d3, and c4
table.qtukey()
Tukey Quantile Table for the Relative Range

Example datasets

binomdata
Binomial Process Data for p-Charts
moonroof
Moonroof Installation Defect Data
pistonrings
Piston Rings Diameter Data
softdrink
Soft Drink Bottling Volume Data