Sampling guidelines for testing secondary attack rates associated with short-latency infectious diseases

Area of Science:

• Epidemiology
• Biostatistics
• Infectious Disease Modeling

Background:

• The Longini-Koopman model is used for analyzing secondary attack rates from final size distribution data.
• Understanding transmission dynamics within households is crucial for infectious disease control.
• Existing methods may lack sufficient power or efficiency for certain disease characteristics.

Purpose of the Study:

• To evaluate the power and efficiency of the Longini-Koopman model for secondary attack rate analysis.
• To develop and assess sample size requirements for a generalized likelihood ratio test.
• To derive and compare sequential and fixed sample likelihood ratio tests for secondary attack rate parameters.

Main Methods:

• Analysis of power and efficiency properties of the Longini-Koopman model.
• Derivation of sample size requirements for a generalized likelihood ratio test.
• Development of a sequential likelihood ratio test for diseases with short latency or asymptomatic periods.

Main Results:

• The paper provides sample size recommendations for a generalized likelihood ratio test.
• A novel sequential likelihood ratio test is derived for specific infectious disease scenarios.
• The study compares the performance of sequential and fixed sample tests.

Conclusions:

• The proposed methods offer practical tools for analyzing secondary attack rates in household infections.
• The derived tests enhance the ability to study infectious disease transmission, especially for influenza.
• The findings support improved statistical approaches in epidemiological research.