Two Steps to Obfuscation

This note addresses the historical antecedents of the 1998 PageRank measure of centrality. An identity relation links it to 1990-1991 models of Friedkin and Johnsen

Comparando dos métodos de estimación del tamaño de las redes personales

En este artículo comparamos dos métodos para la estimación del tamaño de las redes personales utilizando una muestra representativa de Estados Unidos a nivel nacional. Ambos métodos se basan en la habilidad de las personas encuestadas para estimar el número de personas que conocen en subpoblaciones específicas de EE.UU. (ej.: diabéticos, nativo-americanos) y gente en categorías específicas de relación (ej.: familia inmediata, compañeros de trabajo). Los resultados muestran una remarcable similitud entre el tamaño medio de la red obtenido por ambos métodos (aproximadamente 291). Se obtuvieron resultados similares con una muestra nacional distinta. La tentativa de corroboración de nuestras estimaciones mediante una reproducción exacta de la encuesta entre un segmento de población propenso a tener redes más amplias (el clero), dio como resultado un tamaño medio de la red superior. Una investigación extensiva sobre la existencia de efectos de respuesta mostró algunas preferencias por usar ciertos números a la hora de realizar estimaciones, pero nada que afectase de forma significativa a la estimación de tamaño de la red más allá del 6 por ciento. Nuestra conclusión es que ambos métodos utilizados para la estimación del tamaño de las redes personales proporcionan resultados válidos y fiables del tamaño de la red real, pero quedan algunas cuestiones pendientes sobre la exactitud.In this paper we compare two methods for estimating the size of personal networks using a nationally representative sample of the United States. Both methods rely on the ability of respondents to estimate the number of people they know in specific subpopulations of the U.S. (e.g., diabetics, Native Americans) and people in particular relation categories (e.g., immediate family, coworkers). The results demonstrate a remarkable similarity between the average network size generated by both methods (approximately 291). Similar results were obtained with a separate national sample. An attempt to corroborate our estimates by replicati among a population we suspect has large networks (clergy), yielded a larger average network size. Extensive investigation into the existence of response effects showed some preference for using certain numbers when making estimates, but nothing that would significantly affect the estimate of network size beyond about 6 percent. We conclude that both methods for estimating personal network size yield valid and reliable proxies for actual network size, but questions about accuracy remain

Counting hard-to-count populations: the network scale-up method for public health

Estimating sizes of hidden or hard-to-reach populations is an important problem in public health. For example, estimates of the sizes of populations at highest risk for HIV and AIDS are needed for designing, evaluating and allocating funding for treatment and prevention programmes. A promising approach to size estimation, relatively new to public health, is the network scale-up method (NSUM), involving two steps: estimating the personal network size of the members of a random sample of a total population and, with this information, estimating the number of members of a hidden subpopulation of the total population. We describe the method, including two approaches to estimating personal network sizes (summation and known population). We discuss the strengths and weaknesses of each approach and provide examples of international applications of the NSUM in public health. We conclude with recommendations for future research and evaluation

Combinatorial structures in loops

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/46265/1/209_2005_Article_BF01221880.pd

Genetic determinants of telomere length from 109,122 ancestrally diverse whole-genome sequences in TOPMed

Genetic studies on telomere length are important for understanding age-related diseases. Prior GWAS for leukocyte TL have been limited to European and Asian populations. Here, we report the first sequencing-based association study for TL across ancestrally-diverse individuals (European, African, Asian and Hispanic/Latino) from the NHLBI Trans-Omics for Precision Medicine (TOPMed) program. We used whole genome sequencing (WGS) of whole blood for variant genotype calling and the bioinformatic estimation of telomere length in n=109,122 individuals. We identified 59 sentinel variants (p-value OBFC1indicated the independent signals colocalized with cell-type specific eQTLs for OBFC1 (STN1). Using a multi-variant gene-based approach, we identified two genes newly implicated in telomere length, DCLRE1B (SNM1B) and PARN. In PheWAS, we demonstrated our TL polygenic trait scores (PTS) were associated with increased risk of cancer-related phenotypes

Combinatorial structures in loops, III. Difference sets in special cyclic neofields

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/21876/1/0000282.pd

Social influence and opinions

In this paper we describe an approach to the relationship between a network of interpersonal influences and the content of individuals' opinions. Our work starts with the specification of social process rather than social equilibrium. Several models of social influence that have appeared in the literature are derived as special cases of the approach. Some implications for theories on social conflict and conformity also are developed in this paper. © 1990, Taylor & Francis Group, LLC. All rights reserved

Social positions in influence networks

In this article we derive implications about social positions from a formal theory of social influence. The formal theory describes how, in a group of actors with heterogeneous initial opinions, a network of interpersonal influences enters into the formation of actors' settled opinions. We derive the following conclusions about a special form of structural equivalence. If actors are structurally equivalent in the network of interpersonal influences, then any dissimilarity of their initial opinions is reduced by the social influence process. If the social positions of actors are identical, i.e. if they have identical initial opinions and are structurally equivalent in the influence network, then they have identical opinions at equilibrium. If actors are not structurally equivalent in the network of interpersonal influences, then the social influence process does not necessarily reduce dissimilarities of initial opinions. We extend our analysis to consider automorphic equivalence

Control loss and Fayol’s gangplanks

Williamson's (1971) model of control loss in organizational hierarchies describes the cumulative decay of influence of superiors over subordinates who are separated by a number of hierarchical levels in the chain-of-command. This paper shows that control loss may be deduced from a network theory of social influence, and it shows that ties among actors at the same hierarchical level-Fayol's gangplanks-may constrain control loss in organizational hierarchies. The structural mitigation of control loss by Fayol's gangplanks increases with superiors' span of control and depends on their capacity to maintain influence upon immediate subordinates in the presence of the lateral influences among subordinates. © 2002 Elsevier Science B.V. All rights reserved