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Peer-Review Record

Partial Exchangeability for Contingency Tables

Mathematics 2022, 10(3), 442; https://doi.org/10.3390/math10030442
by Persi Diaconis
Reviewer 1: Anonymous
Reviewer 2: Anonymous
Reviewer 3: Anonymous
Mathematics 2022, 10(3), 442; https://doi.org/10.3390/math10030442
Submission received: 30 December 2021 / Revised: 19 January 2022 / Accepted: 20 January 2022 / Published: 29 January 2022

Round 1

Reviewer 1 Report

I enjoyed reading the paper, and I recommend to accept it in its present form.

Author Response

The author thanks the Reviewer for the gratifying comments.

Reviewer 2 Report

The report is attached. 

Comments for author File: Comments.pdf

Author Response

The author thanks the Reviewer for the comments. All the typographical indications have been recognized, and changes have been made accordingly.

Reviewer 3 Report

This paper aims to develop parameter free de Finetti theorems for log-linear models for discrete data.  Discrete exponential families and algebraic statistics  are employed to give de Finetti style partially exchangeable theorems for some widely used hierarcical and graphical models for contingency tables. The scientific content is sound, while the writing can be improved.  For example, after 10th row of pp.1, the meanings of \theta_i and \eta_j should be clarified; after 14th row of pp.2, what does L represent ? 

Author Response

The author thanks the Reviewer for the comments. The writing has been improved as indicated, by correcting typos and making the definitions of the symbols more explicit.  

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