# Prediction properties of optimum response surface designs

**Authors:** Heloisa M. de Oliveira, Cesar B. A. de Oliveira, Steven G. Gilmour, Luzia A. Trinca  
**arXiv:** [1906.07500](https://arxiv.org/abs/1906.07500)  
**Date:** 2019-06-18  
**Summary page:** https://www.summarizepaper.com/en/arxiv-id/1906.07500v1/

## Key points

- Importance of prediction capability in response surface methodology
- Proposal of an extension to existing compound design criterion
- Incorporation of prediction properties for both point and interval predictions
- Two examples provided to demonstrate the methods
- Introduction of extensions to existing graphical tools for evaluating prediction performances
- Contribution to enhancing the prediction capabilities of response surface designs
- Improvement in effectiveness in practical applications.

## Summary

The paper titled "Prediction properties of optimum response surface designs" discusses the importance of prediction capability in response surface methodology. The authors propose an extension to an existing compound design criterion that incorporates prediction properties for both point and interval predictions. To demonstrate their methods, they provide two examples. Additionally, they introduce extensions to existing graphical tools for evaluating prediction performances of the designs across the entire region of experimentation. This research contributes to enhancing the prediction capabilities of response surface designs and improving their effectiveness in practical applications.