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Triad Count Statistics [chapter]

Ove Frank
1988 Annals of Discrete Mathematics  
Exploratory statistical analyses of graph data can be based on summary statistics like the triad counts.  ...  [ll] proved that the triad counts are sufficient statistics for a particular class of Markov random graph models, We can distinguish between two different main uses of triad counts in statistical analysis  ... 
doi:10.1016/s0167-5060(08)70779-9 fatcat:r3uox6j6nvbpbjtifzsvixhycq

Triad count statistics

Ove Frank
1988 Discrete Mathematics  
Exploratory statistical analyses of graph data can be based on summary statistics like the triad counts.  ...  [ll] proved that the triad counts are sufficient statistics for a particular class of Markov random graph models, We can distinguish between two different main uses of triad counts in statistical analysis  ... 
doi:10.1016/0012-365x(88)90202-6 fatcat:vk6atvr6sfhdna7filzpmy2lfm

Comment to the note "Counting of discrete Rossby/drift wave resonant triads", arXiv:1309.0405 [article]

A. Kartashov, E. Kartashova
2013 arXiv   pre-print
Kartashova, [2], resonant triads with real amplitudes are counted whereas it can be seen explicitly from the form of dynamical system that wave amplitudes are complex.  ...  Counting of resonant triads. [1] states that discrete Rossby/drift wave resonant triads counted by [2] must have complex amplitudes.  ...  However, the main problem with counting resonant triads in [3] is not whether triads with real or complex amplitudes are counted -the first is a subset of the second.  ... 
arXiv:1309.0992v1 fatcat:lrnu4rulyzcvrbaffmwbjppuxu

Specification of Exponential-Family Random Graph Models: Terms and Computational Aspects

Martina Morris, Mark S Handcock, David R Hunter
2008 Journal of Statistical Software  
The terms specify network statistics that are sufficient to represent the probability distribution over the space of networks of that size. Many classes of statistics can be used.  ...  In this article we describe the classes of statistics that are currently available in the ergm package.  ...  In an undirected graph these two counts simplify: a triad census counts the number of triads having 0, 1, 2, and 3 edges, and each set of three nodes contributes either zero or one triple (also called  ... 
pmid:18650964 pmcid:PMC2481518 fatcat:ce55tvqbvbfqvlr2ezqbzy6gza

Page 60 of Behavior Research Methods Vol. 10, Issue 1 [page]

1978 Behavior Research Methods  
SHED analyzes the N by N sociomatrix by sorting and counting the dyad and triad types.  ...  The program, a trichotomous ana¬ logue to Leinhardt’s SOCPAC I program (Leinhardt, 1971) counts and sorts the N(N — 1)(N — 2)/6 triads in an N by N sociomatrix into 138 nonisomorphic triad types.  ... 

Quantifying Triadic Closure in Multi-Edge Social Networks [article]

Laurence Brandenberger, Giona Casiraghi, Vahan Nanumyan, Frank Schweitzer
2019 arXiv   pre-print
In social networks, such edges often form closed triangles, or triads.  ...  We propose a novel measure of triadic closure for multi-edge networks of social interactions based on a shared partner statistic.  ...  In such networks, measuring triadic closure can be operationalized by counting triads.  ... 
arXiv:1905.02990v1 fatcat:wcpjvu2et5dmrjifujdrdc6dqm

SHED: A FORTRAN IV program for the analysis of small group sociometric structure

Elliot Noma, D. Randall Smith
1978 Behavior Research Methods  
SHED analyzes the N by N sociomatrix by sorting and counting the dyad and triad types.  ...  The program, a trichotomous analogue to Leinhardt's SOCPAC I program counts and sorts the N(N -1)(N -2)/6 triads in an N by N sociomatrix into 138 nonisomorphic triad types.  ...  This notation was adopted in preference to that introduced by Davis and , since trichotomized (positive-indifferent-negative) relations do not lend themselves to identification by dyad type counts followed  ... 
doi:10.3758/bf03205095 fatcat:6ua6sykdpbgzbjyuz3jxolj4xm

How do external factors contribute to the hypocoagulative state in trauma-induced coagulopathy? – In vitro analysis of the lethal triad in trauma

Michael Caspers, Nadine Schäfer, Matthias Fröhlich, Ursula Bauerfeind, Bertil Bouillon, Manuel Mutschler, Marc Maegele
2018 Scandinavian Journal of Trauma, Resuscitation and Emergency Medicine  
of lethal triad (Δtrias/baseline 0.59; p = 0.01).  ...  None of the simulated conditions induced a statistically relevant change in coagulation initiation assessed by EXTEM and FIBTEM thrombelastometry.  ...  Table 1 1 Standard blood count and cougulation testing for the respective lethal triad conditions Blood count Standard coagulation tests BGA Haemoglobin level [g/dl] Platelets [10^3/μl] Haematocrit  ... 
doi:10.1186/s13049-018-0536-8 pmid:30111342 pmcid:PMC6094881 fatcat:oczj5zd4q5cohkmfzadcywdvsy

Friends, Brokers, and Transitivity: Who Informs Whom in Washington Politics?

Daniel P. Carpenter, Kevin M. Esterling, David M. J. Lazer
2004 Journal of Politics  
2 Count -.0074 .0060 -.0048 .0057 Triad 3 Count -.0191* .0096 -.0302*** .0083 Triad 4 Count -.0715*** .0091 -.0876*** .0087 Triad 5 Count .0087 + .0046 .0072 + .0038 Triad 6 Count  ...  9 Count -.0005 .0056 -.0005 .0036 Triad 10 Count -.0428* .0208 -.0428* .0186 Triad 11 Count -.0085 .0116 -.0085 .0084 Triad 12 Count .0341 .0237 .0341** .0128 Triad 13 Count .0078  ...  This is the count of events in which both members of the dyad were jointly active. Energy mean 10.62 (9.48); health mean 4.22 (5.94).  ... 
doi:10.1046/j.1468-2508.2004.00149.x fatcat:pf4tx37wv5fedf6ckxqz6g6t3a

Disentangling Pooled Triad Genotypes for Association Studies

Min Shi, David M. Umbach, Clarice R. Weinberg
2014 Annals of Human Genetics  
One can markedly reduce the number of genotyping assays required by randomly partitioning the case-parent triads into pooling sets of h triads each and creating three pools from every pooling set, one  ...  Association studies that genotype affected offspring and their parents (triads) offer robustness to genetic population structure while enabling assessments of maternal effects, parent-of-origin effects  ...  The NCP for the difference-based method is the square of the Z-statistic calculated from the expected counts.  ... 
doi:10.1111/ahg.12073 pmid:24962618 pmcid:PMC4154801 fatcat:kctmlc7qxzdmvegcozh6i726ci

Specification of Exponential-Family Random Graph Models: Terms and Computational Aspects

Martina Morris, Mark S. Handcock, David R. Hunter
2008 Journal of Statistical Software  
The terms specify network statistics that are sufficient to represent the probability distribution over the space of networks of that size. Many classes of statistics can be used.  ...  Every predictor entered into an ERGM must have an algorithm for calculating the associated network statistic, or, more precisely, an algorithm for calculating its associated change statistic: The difference  ...  In an undirected graph these two counts simplify: a triad census counts the number of triads having 0, 1, 2, and 3 edges, and each set of three nodes contributes either zero or one triple (also called  ... 
doi:10.18637/jss.v024.i04 fatcat:qsgs5zoqm5fidh2f42msqhg5za

Page 249 of None Vol. 58, Issue 3 [page]

1959 None  
When either the N-7 or R function is compared with that of Group N-9, the differences, as tested by two-tailed U tests, approach statistical significance at Point 0 (P < .15) and attain statistical sig  ...  WORDS 249 straction to only one triad, and so on.  ... 

Triadic patterns of friendships in YouTube groups

Haris Memic, Alma Husagic-Selman, Kanita Hadziabdic
2011 2011 IEEE 12th International Symposium on Computational Intelligence and Informatics (CINTI)  
In order to accomplish statistically sound analysis of local micro processes acting on triadic level in social networks, we applied statistical tests of triad census, by conditioning expected counts of  ...  triads on observed values of dyad census.  ...  In order to successfully examine forces acting within triadic network substructures, we used statistical tests of triad census, by conditioning expected counts of triads on observed values of dyad census  ... 
doi:10.1109/cinti.2011.6108558 fatcat:fw7wzqvec5hena2jarezucni5y

Page 207 of None Vol. 16, Issue 3 [page]

1955 None  
This difference is not statistically signifi- cant, and the average is 26.32. This bears out the earlier statement that reliability de- pends on total number of particles counted. TABLE III.  ...  Study of triads shows that 95 times out of 100 the overall range in a triad will not ex- ceed 2.96 times the average difference for a pair.  ... 

Page 5943 of Mathematical Reviews Vol. , Issue 89K [page]

1989 Mathematical Reviews  
Manvel (1-COS) 05C Graph theory 89k:05098 05C80 Frank, Ove (S-STOC-S) Triad count statistics. Proceedings of the First Japan Conference on Graph Theory and Applications (Hakone, 1986).  ...  Then it is shown how triad counts in multigraphs can be used in various kinds of statis- tical analyses of graph data.  ... 
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