2011
DOI: 10.1080/00224065.2011.11917857
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Profile Monitoring with Binary Data and Random Predictors

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Cited by 63 publications
(40 citation statements)
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“…In this subsection, the logistic regression model is used to model the profile with a binary response variable and random explanatory variables . Suppose that, for j th ( j ≥1) profile sample collected over time, we have the observations (trueboldX~j,boldyj), where y j =( y j 1 ,…, y j N ) is an N ‐variate response vector and trueboldX~j is an N × q regressor matrix.…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…In this subsection, the logistic regression model is used to model the profile with a binary response variable and random explanatory variables . Suppose that, for j th ( j ≥1) profile sample collected over time, we have the observations (trueboldX~j,boldyj), where y j =( y j 1 ,…, y j N ) is an N ‐variate response vector and trueboldX~j is an N × q regressor matrix.…”
Section: Methodsmentioning
confidence: 99%
“…N is the sample size of profiles and j = 1,…, M . As shown in Shang et al , the collected observations are assumed from the following profile model: logit(pji)=αj+boldxjiTbold-italicβj,1emi=1,,N,1emj=1,,M, where α j is the intercept parameter and β j =( β 1 j ,…, β q j ) T is a q ‐dimensional parameter vector. Here, y j i is assumed to be drawn from a binomial (or Bernoulli) distribution with the parameter p j i , denoted y j i ∼Binomial( n j i , p j i ).…”
Section: Methodsmentioning
confidence: 99%
“…In their study, the logistic regression model was used to express the relationship between the response variable and the explanatory variables and five T 2 control charts were proposed and compared in terms of the signal probability in various scenarios. Integrating the EWMA scheme and the LRT, Shang et al studied Phase II monitoring and proposed a novel control chart for binary profiles with random covariates. Paynabar et al developed a Phase I chart for surgical‐operation improvement, in which the surgical outcomes are binary.…”
Section: Introductionmentioning
confidence: 99%
“…Shang et al 69 suggested in a novel control chart by integrating the EWMA scheme and the likelihood ratio test based on logistic regression. Capizzi and Masarotto 70 studied the least angle regression algorithm with a multivariate EWMA for phase II.…”
mentioning
confidence: 99%