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There have been few efforts to systematically develop reliable and valid measures of social networks, particularly in studies dealing with individuals having substance use disorders. In the current study, individuals living in recovery homes called Oxford Houses completed a 6-item measure of social networks. The Cronbach’s alpha was .85 and a confirmatory factor analysis found excellent fit statistics with all items having substantial (> .70) load factors. In addition, the measure was independent of age, sex, and ethnicity and significantly related to length of stay in the recovery homes and quality of life. The authors have found that this instrument works well as an ego network with adequate psychometric properties and empirical relations to other recovery variables.
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The Reliability and Reciprocity of a Social Network Measure
Leonard A. Jason, PhD and Ed Stevens, PhD
Center for Community Research, DePaul University, Chicago, Illinois, USA
Abstract
There have been few efforts to systematically develop reliable and valid measures of social
networks, particularly in studies dealing with individuals having substance use disorders. In the
current study, individuals living in recovery homes called Oxford Houses completed a 6-item
measure of social networks. The Cronbach’s alpha was .85 and a confirmatory factor analysis
found excellent fit statistics with all items having substantial (> .70) load factors. In addition, the
measure was independent of age, sex, and ethnicity and significantly related to length of stay in
the recovery homes and quality of life. The authors have found that this instrument works well as
an ego network with adequate psychometric properties and empirical relations to other recovery
variables.
Keywords
Oxford House; recovery homes; social network; substance use disorders
Recovering people with substance use disorders (SUDs) face many obstacles to maintaining
abstinence (Jason, Olson, & Foli, 2008). As an example, dropout is common from
detoxification and acute treatment programs, and many people who finish treatment relapse
over time. This cycle is often repeated frequently, with high personal and social costs. So it
has become increasingly clear that detoxification and treatment programs are insufficient to
ensure abstinence from drugs and alcohol; for most people with SUDs, continued longer
term support following treatment is necessary. Environmental factors are key contributors to
maintaining abstinence after treatment (Vaillant, 2003). These factors include the amount
and type of support one receives for abstinence.
Within the substance use literature, there have been a number of studies of social support
and their relationship to abstinence (e.g., Majer, Jason, Aase, Droege, & Ferrari, 2013).
Supportive, cohesive posttreatment settings are known to reduce relapse rates (Laudet
Becker, & White, 2009). For example, Schaefer, Cronkite, and Hu (2011) found that each
additional month spent in aftercare led to a 20% increase in the odds of continued
abstinence. We also know that a minimum stay of about 6 months in such settings seems
necessary to materially improve the likelihood of sustained recovery (Jason, Olson, et al.,
2007). Such studies demonstrate the value of recovery support during this critical period.
CONTACT Leonard A. Jason, ljason@depaul.edu, Center for Community Research, DePaul University, 990 W. Fullerton Ave.,
Chicago, IL 60614.
ORCID
Leonard A. Jason, http://orcid.org/0000-0002-9972-4425
HHS Public Access
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Alcohol Treat Q
. Author manuscript; available in PMC 2018 September 19.
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Alcohol Treat Q
. 2017 ; 35(4): 317–327. doi:10.1080/07347324.2017.1355220.
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But in these studies, networks are often treated as a single entity representing a characteristic
of an individual respondent. Such approaches do not account for the heterogeneity of an
individual’s social network (Stone, Jason, Light, & Stevens, 2016). In contrast, network
studies have typically been based on personal network data (also called “ego networks”).
Personal networks are assessed by asking an individual (“ego”) to identify his or her
relationships (“alters”), which can be close friends, family members, and work associates.
Researchers might use inventories or name generators in interviews to map respondents’ ego
networks. The respondent then provides information on each person in his or her ego
network. The result is a data set containing multiple ties (alters) for the same respondent
(ego), with each item for each alter as a separate variable. Personal ego network
methodology offers greater detail in measuring social context compared to simple summary
ratings. For example, one can see the ties or connections with the friends (alters) of the
person (or ego) that support drinking or abstinence.
Ego networks have been studied as treatment outcomes and how an individual’s ego network
might be used to predict what specific treatment is most likely to succeed. In a recent
literature review, Stone et al. (2016) found that completing treatment was related to increases
of the number of abstinent and treatment-related alters in one’s network (Litt, Kadden,
Kabela-Cormier, & Petry, 2009; Min et al., 2013; Mohr, Averna, Kenny, & Del Boca, 2001;
Tracy et al., 2012). Nearly all treatment-related changes in social networks found in these
studies were positive, (i.e., increases in abstinent alters and decreases in substance/alcohol
use of alters; Litt et al., 2009; Min et al., 2013; Mohr et al., 2001; Zywiak et al., 2009),
suggesting that treatment interventions often support positive restructuring of one’s social
network.
Many of these studies used a measure called the Important People and Activiteis Inventory
(IPA; Longabaugh, Wirtz, Zywiak, & O’malley, 2010), but there is inconsistency in the way
investigators have used this instrument. Many analyze individual items (e.g., number of
drinking network members; Zywiak, Longabaugh, & Wirtz, 2002) and others calculate
composite or summary variables for analysis (e.g., support for drinking from network
members; Groh, Jason, Ferrari, & Halpert, 2011). Unfortunately, there is also disagreement
among researchers as to how many and which composite factors of the IPA create the best
model. The psychometric properties of this instrument are also unclear.
Recently, a new measure of social networks was used in a study by Jason, Light, Stevens,
and Beers (2014) of individuals in recovery houses, and they found that involvement in
recovery-related activities (Alcoholics Anonymous [AA] meeting attendance, having an AA
sponsor, etc.) led to increased trust of other residents and increased the likelihood of having
a “confidant” within the house, that is, a trusted friend with whom to discuss recovery-
related problems and issues. These results are consistent with a mutually reinforcing
feedback loop between an individual’s recovery-supporting activities and the quality of his
or her social relationships with other house residents. The present study examined the
psychometric properties of this new social network instrument with a relatively large sample
of individuals living in recovery homes. It was hypothesized that the instrument would have
high internal consistency and would be related to both length of stay in the recovery homes
and quality of life.
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Method
Procedure
This study involved a complete longitudinal design in which consented individuals
underwent an initial baseline assessment (Wave 1), which is the focus of the current study.
After participants enter the study, we assess them every 4 months over a 2-year period (this
study is currently in progress and at the present time, only Wave 1 data has been collected
and analyzed). Each wave of assessment will be conducted by phone or in-person interview,
or by written surveys sent to, completed, and returned by each individual participant. The
method of assessment (interview or written survey) will be selected by the participant during
the consent process and subsequently when contacted for follow-up. Any individuals
entering the participating recovery home during this period will be enrolled in the study after
they provide informed consent, so we can assess the complete networks of the residents of
the houses for the remaining subsequent waves. We selected only Oxford House (OH)
recovery homes as they are comparable across different regions, requiring residents to abide
by three rules: not consume any alcohol or drugs, pay their share of rent, and maintain good
behavior in their houses. There are about 2,000 OHs in the United States, making them the
largest networks of self-run recovery homes, as there are no professional staff within these
settings.
To recruit 42 participating Oxford House (OH) recovery homes, a national recruiting
strategy was implemented through an outreach to OH stakeholders at national and state
levels, and samples were collected in North Carolina, Texas, and Oregon. Research staff first
called the presidents of OHs to inform them of the study and request their participation in
the study. House presidents were informed at this time that they would be requested to
participate in the study (answering the same surveys as other house member participants
along with one additional survey specific to the house president), and to participate in the
recruitment of fellow members of their OH. If the house president agreed, our staff emailed
him or her a verbal script to be used in presenting the information about the study to the
house members. The house president then presented the study and asked the members of
each house whether they would be willing to participate. This occurred verbally between the
president and house members during a regularly scheduled weekly house business meeting.
After outlining the study, the house president held a secret ballot to measure member
interest. The research staff contacted the house presidents after the scheduled house business
meetings to learn whether the house would participate. Once house presidents indicated that
all or all but one of their members would like to participate, the participants were contacted
by telephone on an individual basis to obtain verbal consent and to collect the information
requested on a Contact Information Sheet. Verbal consent and contact information were
obtained from each participant prior to the baseline wave of interviews. After obtaining
verbal consent, an information package including all of the survey measures were directly
sent to the name and address or email of the consenting individual. Residents were told that
they have the right to decline participation without penalty. We did not observe any coercion
that might occur for recruitment by inspecting the consent form to see if any discomfort was
mentioned when that form was filled out. Further, to avoid a situation where the house as a
whole reached a supposed consensus even when some individuals have reservations,
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individual consent was obtained online from each house member, preserving anonymity of
consent among members. Participants were informed that they may still request to receive a
copy of the final report of the study regardless of their houses’ nonparticipation in future
waves.
If assessment occurred via phone calls, then we assured confidentiality by reminding
participants that their survey responses are confidential and encouraged them to be in a
private area throughout the duration of the interview. Likewise, participants who elected to
fill written surveys received written instructions and a reminder phone call to complete the
survey in private and enclose and seal their confidential responses in the provided return
envelope. Because this study included references to house members by other house
members, confidentiality was an important consideration in the handling of completed
surveys. For written surveys received by mail, a process was set up to maintain care, control,
and custody of the data from survey completion through deidentification at the time of data
entry (in REDCap) to original document safekeeping.
Measures
As part of the baseline (Wave 1), assessment for each participating individual, the
interviewer began with a Demographic Survey that measures sex, age, race, and length of
residency in their recovery home. The current study focused on the two measures described
below.
The Social Network Instrument was developed from our previously mentioned house
network pilot study (Jason et al., 2014) and was administered. It measured residents’
theoretically-significant relationships within the house, comprising the house social
structure. Types of relationships include friendship (how friendly, how strong, personal
conversation, helping), trust (how much money you would lend), and mentoring (going to
the person for advice on recovery and other important life issues; see Appendix). Each of 6
items was rated on a 5-point (0–4) scale appropriate to the relationship type (e.g., friendship
goes from “close friend” to “adversary”). These measures were used to create a matrix of
relationships for each participant, relationship type (i.e., with all potential ties measured).
All such matrices together comprise the “multiplex social network.”
The World Health Organization Quality of Life Assessment Brief Version (The WHOQOL
Group, 1998) is a 26-item instrument measuring quality of life across four domains
(physical, psychological, social relationships, and environment) using 5 point Likert-type
scoring. The individual subscales have demonstrated marginal to excellent reliability (α’s = .
66 for the 3-item social relationship subscale, .75 for psychological, .80 for environment,
and .82 for physical). The instrument exhibits strong discriminant and convergent validity
(Skevington, Lotfy, & O’Connell, 2004) and has been used across a broad constellation of
cultures and populations including alcoholics (da Silva Lima, Fleck, Pechansky, de Boni, &
Sukop, 2005) and homeless, substance dependent individuals (Garcia-Rea & LePage, 2010).
The latter study also demonstrated within-individual change on monthly to yearly time
scales.
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Results
There were a total of 229 participants, with an average of 5.62 network members each. Of
these participants, 55% (
n
= 126) were male and 44.5% (
n
= 102) were female and .4 (
n
= 1)
were other. The average age of participants was 38 (
SD
= 10.82). Neither age (
r
= .06,
p
> .
05) nor sex (
r
= .14,
p
> .05) were significantly corrected with the social network measure.
Regarding race, 82.1% were Caucasian, 9.2% were African American, 1.3% were American
Indian, 6.5% were Latino, and Alaskan Native, and Pacific Islander were .4% (
n
= 1). The
social network instrument score was not significantly related to race or ethnicity,
F
(3,225) =
1.46,
p
= .23, using the four classifications of African American, Hispanic, White non-
Hispanic, and other. Figure 1 shows the distribution of mean social network scores (
n
=
1,297,
M
= 2.54,
SD
= .81). Cronbach’s alpha was .85 and all items contributed positively.
These items were used to create an indicator of social network for each participant.
We next performed a two-level confirmatory factor analysis, which had excellent fit statistics
(Comparative Fit Index [CFI] = .967, Tucker-Lewis Index [TLI] = .949, root mean square
error of approximation [RMSEA] = .062, standardized root mean square residual [SRMR]
= .030) with all items having substantial (> .70) load factors (see Figure 2).
Finally, we created two measures of social network, one based on an individual ego network,
where SN1 indicated a person’s ratings of all other members, and SN2 representing a house
measure of the whole network. As is evident from Figure 3, length of stay (LOS) in the
recovery home and quality of life (QOL) was significantly related to each measure,
suggesting that the ego network measure might serve as good proxy for a whole network
measure.
Discussion
Networks are becoming more pervasive, including within physical and information (e.g.,
databases) and biological (e.g., neural) domains, with minimal ingredients for social
networks involving people (egos and alters) and relations (ties, relations, and connections).
Unfortunately, at least within the substance use area, few measures have had adequate
psychometric properties, and the current study suggested that the social network measure
had adequate internal reliability and was related to a number of important recovery oriented
variables.
The findings that those who scored higher on the social network measure had longer stays in
the recovery homes and higher quality of life have important implications. Because 50% of
individuals leave recovery homes before the 6-month period of time that is predictive of
good recovery outcomes (Jason, Davis, et al., 2007), we need to understand the parameters
that predict premature departure. Helping residents deal with social relationships might lead
to greater recovery-related learning that could lead to a greater length of stay in the recovery
homes. By identifying mechanisms through social network analysis through which social
environments affect health outcomes, this approach could contribute to reducing health care
costs by improving the effectiveness of the residential recovery home system in the United
States and also restructuring and improving other community-based recovery settings.
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Network approaches have remained limited largely to studies of “personal” networks, that is,
the personal friendships or other significant relationships reported by study participants. In
contrast, “whole” networks do include the relationships of named individuals with each
other. A personal network involves a person in a group just rating all others in the group,
whereas a whole network involves a person in the group rating not only all other group
members but also being rated by others. Ego networks are regularly used to study substance
use disorders (Stone et al., 2016), in part because the study population normally does not
share the same context. The current study does suggest that the ego network measure used
was comparable to a whole network approach.
There are several limitations in the current study. Only Wave 1 data was employed, and
certainly over time, it will be important to investigate the longitudinal changes that occur
among the social network variables in these recovery homes, and to evaluate the stability of
this social network measure over time. In addition, Item 2 probably suffers from a small
amount of reverse scoring bias and switching the order of the scoring key might eliminate
the minor relationships in errors, but it’s really not a large problem for this measure.
In summary, this study provides preliminary data our relatively newly developed measure
had adequate internal reliability and excellent fit statistics using a confirmatory factor
analysis. In addition, the measure was significantly related to length of stay in the recovery
homes and quality of life. Most importantly, this instrument works well as an ego network
and thus allows investigators the option of using this approach when whole network data is
not possible to collect.
Acknowledgments
Funding
The authors appreciate the financial support from the National Institute on Alcohol Abuse and Alcoholism (grant
number AA022763).
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Appendix. Social Network Measure
Six items focused on relationship, resources, and access which are scored on 5-point scales.
The lower the score, the stronger the relationship. Currently, Item 2 must be reversed scored.
Each resident answers these questions about every other member of the house.
1. How friendly are you with this person?
2. If this person asked to borrow money from you, how much would you be willing
to lend them?
3. If this person needed help for a day, how likely would you be to help?
4. How often do you have a personal conversation with this person?
5. How often do you go to this person for advice on your recovery and other
important life issues?
6. Overall, how strong would you rate your relationship with this person?
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Figure 1.
Distribution of mean social network scores.
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Figure 2.
Loadings for confirmatory factor analysis.
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Figure 3.
Evidence of recovery relationships & reciprocity. LOS = length of stay; QOL = Quality of
Life; SN1 = person’s ratings of all other members; SN2 = a house measure of the whole
network.
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... The Social Network Instrument (SNI; Jason & Stevens, 2017) was utilized to capture the social dynamics within each OH. This instrument has been used in several investigations on the social networks of recovery home residents Jason & Stevens, 2017;Light et al., 2016). ...
... The Social Network Instrument (SNI; Jason & Stevens, 2017) was utilized to capture the social dynamics within each OH. This instrument has been used in several investigations on the social networks of recovery home residents Jason & Stevens, 2017;Light et al., 2016). The SNI used with our sample had a Cronbach's alpha of .85 and all items contributed positively. ...
... The SNI used with our sample had a Cronbach's alpha of .85 and all items contributed positively. A multilevel confirmatory factor analysis of the SNI found an excellent fit and per-item contribution, and neither age nor sex significantly correlated with this instrument (Jason & Stevens, 2017). The SNI measures several relationship characteristics, including loaning, friendship, advice-seeking, help-giving, relationship strength, and frequency of contact, but only the loaning measure was included in the current study. ...
Article
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Recovery homes may facilitate individuals with substance use disorders re-integration back into community settings by providing friendship, resources, and advice. Participants of the current study were over 600 residents of 42 Oxford House recovery homes. Findings indicated that willingness to share resources in the form of loans was associated with higher levels of house involvement in recovery home chapters. Active involvement in house and community affairs may influence more recovery within homes or may be an indicator of houses with residents with more capacities and skills for positive long-term health outcomes. Such findings suggest that recovery is a dynamic process with multiple ecological layers embedding individuals, their immediate social networks, and the wider community.
... The SNI (L. A. Jason & Stevens, 2017) measures six aspects of a social network: loaning, advice seeking, friendship, frequency of contact, help, and strength of friendship. Participants rated all other house residents on each of the six items. ...
... The SNI used with our sample had a Cronbach's α of 0.85 and all items contributed positively. A multilevel confirmatory factor analysis of the SNI found an excellent fit and per-item contribution, and neither age nor sex significantly correlated with this instrument (Jason & Stevens, 2017). ...
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Although social support is commonly investigated in the context of substance use recovery, researchers have widely neglected its multilevel nature, thus limiting what we know about its measurement across levels of observation. The current study used multilevel confirmatory factor analyses (MCFA) on 229 individuals living in 42 recovery homes to investigate the structure of single factor of social support at the individual and house-levels. Multilevel structural equation model (MSEM) was then conducted to examine whether the social support factor was associated with stress at the individual and house-levels. MCFA results showed that within individuals, all social support measures were significant and positive while at the house-level, there were a few discrepancies (e.g. network size was negative). Stress was significantly and negatively related to the social support factor at the individual-level, but this association was positive at the house-level. These findings suggest that on an individual-level, a person’s perception and source of social support is particularly important – even if the source of support comes from someone who is not abstinent. On a house-level, social support is more sensitive to outside influences than within individuals. Implications for future research and substance use interventions targeting social support are discussed.
... Social Network Instrument. The Social Network Instrument (SNI; Jason & Stevens, 2017) was utilized to capture the social dynamics within each Oxford House. This instrument has been used in several investigations on the social networks of recovery home residents (Jason & Stevens, 2017;Jason et al., 2018). ...
... The Social Network Instrument (SNI; Jason & Stevens, 2017) was utilized to capture the social dynamics within each Oxford House. This instrument has been used in several investigations on the social networks of recovery home residents (Jason & Stevens, 2017;Jason et al., 2018). This type of network measure is a reliable instrument (Hlebec & Ferligoj, 2002). ...
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This study aimed to explore whether there are differences between Oxford House recovery home residents with psychiatric comorbidity in their ability to form, maintain, and dissolve loaning ties and seek advice, when compared to Oxford House residents without comorbidity, and if differences do exist, are those ties mono- or bi-directional. Findings indicated unique interdependencies among individuals with psychiatric comorbidity for advice seeking, loaning, and recovery factor scores. The results of this investigation are consistent with the dynamic systems theory conceptions of community-based recovery. Recovery homes provide access to social capital, via the residents’ social network, by facilitating recovery-oriented social exchanges, which can lead to changes to the recovery home social dynamics. Upon interpreting the results of this study, components from a dynamic systems theory emerged (e.g. explaining the processes that preserve or undermine the development, maintenance, and dissolution of a network); and provided a framework for interpreting the loaning, advice-seeking, and the latent recovery factor networks and their relationship with psychiatric comorbidity. A deeper understanding of the interplay among these dynamics is described providing an understanding of how Oxford House recovery homes promote long-term recovery in a shared community setting for those with high psychiatric comorbidity.
... Social Network Instrument. The Social Network Instrument (SNI; Jason & Stevens, 2017) was utilized to capture the social dynamics within each Oxford House. This instrument has been used in several investigations on the social networks of recovery home residents (Jason & Stevens, 2017;Jason et al., 2018). ...
... The Social Network Instrument (SNI; Jason & Stevens, 2017) was utilized to capture the social dynamics within each Oxford House. This instrument has been used in several investigations on the social networks of recovery home residents (Jason & Stevens, 2017;Jason et al., 2018). This type of network measure is a reliable instrument (Hlebec & Ferligoj, 2002). ...
Thesis
The benefits of social network activity within a recovery home are demonstrative through friendships that are manifested by abstinent individuals through their day-to-day interactions. The social network bonds that these residents build serve as motivating factors that prompt the engagement of pro-social behaviors while also discouraging destructive behaviors such as relapse. Recovery home residents with psychiatric comorbidities experience unique challenges, regarding long-term recovery outcomes. The aim of the current research is to explore the microcosms of comorbid recovery home (Oxford House) residents on loaning, friendship, and advice-seeking ties, and to understand their overall recovery factor scores. We found that psychiatrically comorbid Oxford House residents had lower recovery factor scores (overall), created and maintained friendships at the same rate as their noncomorbid counterparts, were more likely to seek advice from other psychiatrically comorbid residents, and were more likely to receive a loan – a measure of trust. Keywords: psychiatric comorbidity, recovery home, Oxford House, substance use disorder, longterm recovery
... Networks are widely used in numerous applications including network resilience [1], wireless sensor networks [2], pipe networks [3], Internet of Things [4], communication networks [5], and social networks [6]. To evaluate and manage these networks, their structures can be modeled as systems in which each component (arcs and/or nodes) is in a binary state: either working or failed [7,8]. ...
... In all aforementioned reliability algorithms, it is always assumed that the reliability of each component is constant [6,7,15,29] (for example, R(t) = R for all t in Eq.(1)). Thus, the time factor is ignored in the network reliability problem. ...
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Reliability is an important tool for evaluating the performance of modern networks. Currently, it is NP-hard and #P-hard to calculate the exact reliability of a binary-state network when the reliability of each component is assumed to be fixed. However, this assumption is unrealistic because the reliability of each component always varies with time. To meet this practical requirement, we propose a new algorithm called the LSTM-BAT-MCS, based on long short-term memory (LSTM), the Monte Carlo simulation (MCS), and the binary-adaption-tree algorithm (BAT). The superiority of the proposed LSTM-BAT-MCS was demonstrated by experimental results of three benchmark networks with at most 10-4 mean square error.
... All items are measured on a 5-point Likert scale (1 = totally disagree; 5 = entirely agree), and the Cronbach's α was good (α = 0.931). The social network questionnaire measured the scale, heterogeneity, and closeness of residents' relationship network and the degree of trust, reciprocity, and identity among residents, with a total of nine items (51)(52)(53)(54). The Cronbach's α value of the scale in this study is 0.743, indicating good reliability and validity. ...
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AimFollowing the outbreak of the COVID-19 epidemic, China adopted community isolation management measures. During the “lockdown” period, urban communities were the most basic prevention and control unit for the epidemic. The effectiveness of community epidemic prevention directly affects the spread of the virus and social stability. Therefore, the aim of this study was to explore the status quo and influencing factors of psychological distress.Methods For this study, 1,430 community households were randomly selected in key cities affected by the epidemic, and a questionnaire survey was administered during the lockdown period. A structural equation model was used to analyse the influencing factors of community epidemic prevention effects. A total of 1,326 valid questionnaires were collected, with a valid response rate of 92.73%.ResultsIn this study, the differences in psychological distress among different community types were statistically significant (t = 58.41, P < 0.01). The results showed that epidemic prevention capability played a mediating role. The results of the high-order structural equation model analysis showed that perceived social support (β = −0.275, P = 0.000) and community social network (β = −0.296, P < 0.01) were significantly negatively correlated with psychological distress.Conclusions Community social support indirectly relieves psychological anxiety and improves the effect of epidemic prevention by enhancing residents' ability to prevent epidemics. The community social network help residents reduce the risk of outbreaks and indirectly alleviate psychological distress.
... Various binary-state networks are used in real-world applications such network resilience [11], wireless sensor network [12], pipe networks [13], the internet of things [14], and social networks [15], and such networks are constantly growing. For example, social networks have more than 27 billion users [16]. ...
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The Monte Carlo simulation (MCS) is a statistical methodology used in a large number of applications. It uses repeated random sampling to solve problems with a probability interpretation to obtain high-quality numerical results. The MCS is simple and easy to develop, implement, and apply. However, its computational cost and total runtime can be quite high as it requires many samples to obtain an accurate approximation with low variance. In this paper, a novel MCS, called the self-adaptive BAT-MCS, based on the binary-adaption-tree algorithm (BAT) and our proposed self-adaptive simulation-number algorithm is proposed to simply and effectively reduce the run time and variance of the MCS. The proposed self-adaptive BAT-MCS was applied to a simple benchmark problem to demonstrate its application in network reliability. The statistical characteristics, including the expectation, variance, and simulation number, and the time complexity of the proposed self-adaptive BAT-MCS are discussed. Furthermore, its performance is compared to that of the traditional MCS extensively on a large-scale problem.
... Social network data were collected using a Social Network Instrument Jason & Stevens, 2017;Light et al., 2016). A whole network approach was used whereby all residents of the house rated each other on different domains, and in this study, we focused on friendship and sharing resources. ...
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Oxford Houses (OHs) are a large network of selfrun community‐based settings for individuals with substance use disorders. This present study explored a model based on conceptualizing recovery home social systems as dynamic multirelational (multiplex) social networks. The model is developed from data obtained from 42 OH recovery homes in three parts of the US, addressing whole networks of friendship, close friendship, and willingness to loan money. Findings indicated that close friend and loan relationships mutually reinforced each other over time as they coevolved. These types of insights can help community psychologists to better understand complex network dynamics in community‐based settings.
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Reliability is an important tool for evaluating the performance of modern networks. Currently, it is NP-hard and #P-hard to calculate the exact reliability of a binary-state network when the reliability of each component is assumed to be fixed. However, this assumption is unrealistic because the reliability of each component always varies with time. To meet this practical requirement, we propose a new algorithm called the binary-addition-tree algorithm and Monte Carlo simulation based Long Short-Term Memory (LSTM-BAT-MCS), based on long short-term memory (LSTM), the Monte Carlo simulation (MCS), and the binary-addition-tree algorithm (BAT). The superiority of the proposed LSTM-BAT-MCS was demonstrated by experimental results of three benchmark networks with at most 10⁻⁴ mean square error.
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The Monte Carlo simulation method (MCS) is a computational algorithm and statistical methodology for the problems that are too complex to solve analytically. The computational cost and total runtime of the MCS can be quite high as it requires many samples to obtain an accurate approximation with low variance. In this paper, a novel self-adaptive MCS, called BAT-MCS, is proposed to reduce the runtime and variance based on the binary-adaption-tree algorithm (BAT) and the self-adaptive simulation number. The time complexity and simulation number of the BAT-MCS are discussed with the expectation and variance of obtained estimators. The performance of the proposed BAT-MCS is compared to that of the traditional MCS extensively on a large-scale network reliability problem.
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