Table 1 Existence studies in literature.

From: Risk adjusted EWMA control chart based on support vector machine with application to cardiac surgery data

S. no.

Author (year)

Type of quality characteristic

Description

1

Poloniecki et al.9

Binary

To detect changes in post-surgery mortality while considering variations in case mix, the study focused on binary quality characteristics monitoring during Phase II, following the Bernoulli distribution

2

Steiner et al.10

Binary

The procedure is exemplified using bivariate outcome data from a series of pediatric surgeries, with methodology adaptable for multivariate normal, binomial, or Poisson responses

3

Lovegrove et al.11

Binary

The refinement of the cumulative sum method offers a comprehensive display of surgical performance over time by accounting for each patient's risk status in assessing cardiac surgery outcomes

4

Steiner and Jones12

Binary

propose an updating EWMA control chart for monitoring risk-adjusted survival times in continuous time, offering ongoing estimates with favorable efficiency compared to other methods

5

Cook et al.13

Binary

Risk-adjusted process control charting procedures for continuous monitoring of intensive care unit outcomes, incorporating risk adjustment based on the Acute Physiology and Chronic Health Evaluation III model, are proposed as quality management tools

6

Biswas and Kalbfleisch14

Continuous

A risk-adjusted CUSUM procedure based on the Cox model for failure time outcomes is proposed and evaluated through simulations and application to transplant facility data from the Scientific Registry of Transplant Recipients

7

Sego et al.15

Continuous

A risk-adjusted survival time CUSUM chart is proposed for monitoring continuous, right-censored variables, showing higher efficiency in detecting mortality odds increases compared to the RA Bernoulli CUSUM chart, especially with low censored observations or small mortality odds increases

9

Paynabar et al.16

Binary

The paper introduces a risk-adjusted control chart for binary surgical outcomes, incorporating surgeon groups as categorical covariates to improve detection performance

10

Mohammadian et al.17

Binary

A novel risk-adjusted geometric control chart for monitoring patient survival post-surgery outperforms binary variable charts in power, demonstrated through simulations and a case study

12

Aminnayeri and Sogandi18

Binary

proposed risk-adjusted Bernoulli cumulative sum control charts utilize dynamic probability control limits, offering robust performance across various shifts, without assumptions about patients' risk distributions or process parameters

13

Zhang et al.19

Binary

apply dynamic probability control limits to risk-adjusted CUSUM charts for multiresponses, showing through simulation that their in-control performance can be tailored for different patient populations, eliminating the need for estimating or monitoring patients' risk distribution

14

Sogandi et al.20

Binary

This study introduces a Bernoulli state-space model with latent risk variables and dynamic probability control limits for monitoring multistage medical processes, showing satisfactory performance in identifying out-of-control stages and addressing corresponding causes

15

Asif and Noor-ul-Amin21

Binary

Proposed an adaptive risk-adjusted EWMA (ARAEWMA) control chart using AFT regression, outperforming traditional methods in detecting shifts in cardiac surgery patient data

16

Yeganeh et al.22

Binary

The paper proposes an ANN-based control chart with heuristic training for monitoring binary surgical outcomes, demonstrating superior performance compared to existing methods based on ARL, along with real-life applications and robustness analysis using the Beta distribution