Thirty Years of The Network Scale up Method

TL;DR

This paper reviews thirty years of the Network Scale-up Method (NSUM), analyzing data collection techniques, estimation methods, applications, and future research directions for estimating hard-to-reach populations.

Contribution

It provides a comprehensive review of ARD properties, estimation techniques, and practical considerations, highlighting advances and open problems in NSUM over three decades.

Findings

Analysis of ARD properties and data collection techniques

Comparison of different estimators and their assumptions

Summary of applications and open research problems

Abstract

Estimating the size of hard-to-reach populations is an important problem for many fields. The Network Scale-up Method (NSUM) is a relatively new approach to estimate the size of these hard-to-reach populations by asking respondents the question, "How many X's do you know," where X is the population of interest (e.g. "How many female sex workers do you know?"). The answers to these questions form Aggregated Relational Data (ARD). The NSUM has been used to estimate the size of a variety of subpopulations, including female sex workers, drug users, and even children who have been hospitalized for choking. Within the Network Scale-up methodology, there are a multitude of estimators for the size of the hidden population, including direct estimators, maximum likelihood estimators, and Bayesian estimators. In this article, we first provide an in-depth analysis of ARD properties and the techniques to collect the data. Then, we comprehensively review different estimation methods in terms of the assumptions behind each model, the relationships between the estimators, and the practical considerations of implementing the methods. Finally, we provide a summary of the dominant methods and an extensive list of the applications, and discuss the open problems and potential research directions in this area.