MSNS: Multivariate Sequential Normal Scores

In SNSchart: Sequential Normal Scores in Statistical Process Management

Description

Transform a matrix X into SNS using initial observations Y if available SNS follow the order of X.

Usage

MSNS(
  X,
  X.id,
  Y = NULL,
  theta = NULL,
  Ftheta = NULL,
  scoring = "Z",
  alignment = "unadjusted",
  constant = NULL,
  absolute = FALSE,
  chart = "T2",
  chart.par = c(0.005),
  null.dist = "Chi",
  isFixed = FALSE,
  omit.id = NULL,
  auto.omit.alarm = TRUE
)

Arguments

X	matrix or data.frame. New observations to obtain the normal scores.
X.id	vector. The id of each column (variable) of the matrix X.
Y	matrix or data.frame. If Y is not defined (no previous observation available, NULL), NS is relative to X. Default NULL.
theta	vector. Value corresponding with the Ftheta quantile.
Ftheta	vector. Quantile of the data distribution. The values that take are between (0,1).
scoring	character string. If "Z" (normal scores) (default). If "Z-SQ" (normal scores squared).
alignment	character string. Aligment of the data X and Y. Select from "unadjusted": nothing is sustracte from X and Y (default). "overallmean": overall mean is sustracted from X and Y. "overallmedian": overall median is sustracted from X and Y. "samplemean": mean from corresponding group (X and Y) is sustracted from its corresponing vector. "samplemedian": median from corresponding group (X and Y) is sustracted from its corresponing vector. "referencemean": mean from Y is subtracted from X and Y. "referencemedian": median from Y is subtracted from X and Y. "constantvalue": a constant value is subtracted from X and Y.
constant	scalar. Only used when the alignment is selected "constantvalue". Default NULL.
absolute	logical. If TRUE, the absolute aligned values are obtained. (Default FALSE)
chart	character string. Selected type of chart. One option available: "T2". T2 scheme: is c(k), where k comes from UCL = mu + kσ, LCL = mu - kσ.
chart.par	vector. Control limit and other parameters of the selected chart.
null.dist	character string. It is the null distribution choose from "Chi" or "F".
isFixed	logical. If TRUE the reference sample does not update, otherwise the reference sample is updated when the batch is in control.
omit.id	vector. Elements of the vector are the id which are omitted in the analysis.
auto.omit.alarm	logical. Determine if OC signals are added (or not) to reference sample. By default is set to TRUE.

Value

Multiple output. Select by output$

• coefficients: list. Two elements: n the number of observation per group in X and chart the selected chart to perform the analysis.

• X: vector. New observations (Monitoring sample) to obtain the SNS.

• Z: vector. SNS of the X monitoring sample.

• T2: vector. T2 statistic for each of the groups in X.

• X.id: vector. The id of each column (variable) of the matrix X.

• UCL: vector. Upper control limit for each group in X.

Comments

If ties, average ranks are used.

See Also

MNS for multivariate normal scores

Examples

X = cbind(example91$X1, example91$X2)
X.id = example91$X.id
msns = MSNS(X, X.id)

SNSchart documentation built on April 7, 2021, 9:07 a.m.