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Updated: Jun 18, 2025

Establishing a Competing Risk Regression Nomogram Model for Survival Data

Establishing a Competing Risk Regression Nomogram Model for Survival Data

Published on: October 23, 2020

A novel two-way functional linear model with applications in human mortality data analysis.

Xingyu Yan¹, Jiaqian Yu¹, Weiyong Ding¹

¹School of Mathematics and Statistics and RIMS, Jiangsu Provincial Key Laboratory of Educational Big Data Science and Engineering, Jiangsu Normal University, Xuzhou, Jiangsu, People's Republic of China.

Journal of Applied Statistics

|July 29, 2024

Summary

This summary is machine-generated.

This study introduces a new functional linear model for analyzing two-way functional data, improving understanding of scalar responses and two-way predictors. The method effectively captures complex relationships, as shown in simulations and a mortality study.

Keywords:

62-08 Functional data matrix variate product functional principal components analysis two-way functional data two-way functional linear regression weak separability

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Area of Science:

Statistics
Biostatistics
Longitudinal Data Analysis

Background:

Functional data analysis is increasingly important.
Characterizing associations between two-way functional predictors and scalar responses remains challenging.

Purpose of the Study:

Propose a novel two-way functional linear model for scalar response and two-way functional predictor.
Develop an interpretable model that captures relationships between each dimension of the predictor and the response.

Main Methods:

Utilize product functional principal component analysis.
Employ an iterative least squares procedure for estimating regression functions.
Develop estimation within the framework of weak separability.

Main Results:

The proposed method demonstrates solid performance in extensive simulation studies.
The model effectively captures the relationship between two-way functional predictors and scalar responses.
The approach is illustrated using a real-world mortality dataset.

Conclusions:

The novel two-way functional linear model provides an intuitive and interpretable approach.
The developed estimation method is robust and effective for analyzing complex functional data.
The procedure is useful for applications in various fields, including mortality studies.