PONE-D-24-18713A Nonparametric Mixed Exponentially Weighted Moving Average- Moving Average Control Chart with an Application to Gas TurbinesPLOS ONE

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Additional Editor Comments:

Dear Authors,

We have now recieved review reports about your manuscript. Both the referees are primarily in favour of article but with some minor concerns.

You are invited to submit a revised version of manuscript by addressing the issues raised by referees in their comments.

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Reviewers' comments:

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Reviewer #1: Yes

Reviewer #2: Yes

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Reviewer #1: Yes

Reviewer #2: Yes

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Reviewer #1: Yes

Reviewer #2: Yes

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Reviewer #1: Yes

Reviewer #2: No

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Reviewer #1: After critical review, it is observed that authors developed a Nonparametric Mixed Exponentially Weighted Moving Average-Moving Average Control Chart. The manuscript is mathematically and technically very sound and has vide applicability in industry. Though, I have some observations:

1. The abstract should be re-written in more concise way including objective, methodology and findings.

2. The manuscript is very lengthy. To increase the readability, reduce the length of manuscript if possible.

3. All abbreviation should be defined as and when first time used.

4. The experimental environment should be included in text.

Reviewer #2: Reviewer’s Comments

Title: A Nonparametric Mixed Exponentially Weighted Moving Average-Moving Average Control Chart with an Application to Gas Turbines

Manuscript ID: PONE-D-24-18713

The authors developed a nonparametric mixed exponentially weighted moving average-moving average sign control chart (NPEWMA-MA) by integrating the moving average statistic into the exponentially weighted moving average statistic. The charting strategy was previously discussed by Sukparungsee et al. [1] in a parametric environment, assuming the successive moving averages as constant. This study, however, explores the nonparametric structure of this charting strategy and also considers covariance terms in the variance expression, emphasizing that the successive MAs are not independent, as they utilize information from the previous w-1 samples, which was lacking in the existing study by Sukparungsee et al. [1]. Simulation study and real-life example are provided for practical implementation and comparison purposes. The paper is well-written, but the following observations need to be addressed.

Comment 1. In the algorithm to obtain the run length profiles: It seems that steps 2 and 7 are contradictory. You have already set the parameters for a fixed value of ARL0, so why do you check if the desired ARL0 is attained?

Comment 2. Include the recently published paper [2] in Introduction Section, where the authors provided a comprehensive simulation study of zero state and steady state rung-length properties of mixed control charts.

Comment 3. Below Table 8, in the comparison of different charts, why were these chart parameters chosen? Please clarify this.

Comment 4. This paper focuses on scenarios where the normality assumption is not valid. However, in practice, the assumption of independence might also be invalid. The authors should, clarify this issue in revision.

Comment 5. The manuscript is generally readable, but there are few typos present. It should undergo careful proofreading. Additionally, expanded form of abbreviations used in the manuscript must be provided when they are first introduced for clarity and comprehension.

[1]. Sukparungsee, S., Areepong, Y. & Taboran, R. (2020) Exponentially weighted moving average—Moving average charts for monitoring the process mean. PLoS One. 15(2), e0228208.

[2]. Alevizakos, V., Chatterjee, K., & Koukouvinos, C. (2024). On the performance and comparison of various memory-type control charts. Communications in Statistics - Simulation and Computation, 1–21. https://doi.org/10.1080/03610918.2024.2310692

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Reviewer #1: No

Reviewer #2: No

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A Nonparametric Mixed Exponentially Weighted Moving Average- Moving Average Control Chart with an Application to Gas Turbines

PONE-D-24-18713R1

Dear Dr. Meetei,

We’re pleased to inform you that your manuscript has been judged scientifically suitable for publication and will be formally accepted for publication once it meets all outstanding technical requirements.

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Kind regards,

Sajjad Haider Bhatti, Ph.D.

Academic Editor

PLOS ONE

Additional Editor Comments (optional):

The Authors have revised the manuscript in light of the comments by reviewers.

The article now stands fit for publication in PLOS One, Therefore, I recommend it for production/publication.

Reviewers' comments: