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Reformulating a Link Between Social Influence Network Theory and Status Characteristics Theory

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Abstract:

A feedback model in Social Influence Network Theory (SINT) models each subject-agent i by a summing element followed by an integrator to produce a non-parametrically specified probabilistic output y(t) at time t, followed by a random number generator of binary decisions (Di = +1 or –1). Each agent-model interconnects with the others by a weight matrix w. For a whole social network, a matrix product wD delivers social influences. Initial value vector y(1) in this model is exogenously exerted on decision-maker. The feedback agent-model provides a probabilistic influence process among social agents. The probability p(Di = +1) in SCT that the subject initially perceives an ambiguous object in a given one of two possible ways is designated x herein. Stay probability Ps(x) is the probability that SCT subject stays with that given one way in the face of disagreement on a second round, so p(Di = +1) = xPs(x) on the second round. A cumulative probability p distribution C(p) of the error occurs in the in the model, where p=xPs(x). The difference of inverses C-1(1-xPs(x)) - C-1(1-x) from a data set in SCT correspond to weights w in SINT. The inverse C-1(1-x) vanishes when x=0.5. The inverses C-1(1-xPs(x)) for Two-Other (Ternary) data were regressed according the inverses for One-Other (Binary) data. The regression slope closely approximated the theoretical value of 2.0 provided the error distribution was Gaussian and failed if logistic.

Most Common Document Word Stems:

1 (142), model (65), distribut (59), social (54), c (52), probabl (47), x (45), decis (42), function (39), influenc (39), agent (38), c-1 (38), u (37), sct (36), valu (34), n (34), y (33), equat (32), weight (31), gaussian (30), p (29),

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social, influence, network, theory, status, characteristics, probabilistic, decision, mathematical, linear, error
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Name: American Sociological Association
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MLA Citation:

Hollander, James. "Reformulating a Link Between Social Influence Network Theory and Status Characteristics Theory" Paper presented at the annual meeting of the American Sociological Association, Marriott Hotel, Loews Philadelphia Hotel, Philadelphia, PA, Aug 12, 2005 <Not Available>. 2008-10-23 <http://www.allacademic.com/meta/p20187_index.html>

APA Citation:

Hollander, J. F. , 2005-08-12 "Reformulating a Link Between Social Influence Network Theory and Status Characteristics Theory" Paper presented at the annual meeting of the American Sociological Association, Marriott Hotel, Loews Philadelphia Hotel, Philadelphia, PA Online <PDF>. 2008-10-23 from http://www.allacademic.com/meta/p20187_index.html

Publication Type: Conference Paper/Unpublished Manuscript
Abstract: A feedback model in Social Influence Network Theory (SINT) models each subject-agent i by a summing element followed by an integrator to produce a non-parametrically specified probabilistic output y(t) at time t, followed by a random number generator of binary decisions (Di = +1 or –1). Each agent-model interconnects with the others by a weight matrix w. For a whole social network, a matrix product wD delivers social influences. Initial value vector y(1) in this model is exogenously exerted on decision-maker. The feedback agent-model provides a probabilistic influence process among social agents. The probability p(Di = +1) in SCT that the subject initially perceives an ambiguous object in a given one of two possible ways is designated x herein. Stay probability Ps(x) is the probability that SCT subject stays with that given one way in the face of disagreement on a second round, so p(Di = +1) = xPs(x) on the second round. A cumulative probability p distribution C(p) of the error occurs in the in the model, where p=xPs(x). The difference of inverses C-1(1-xPs(x)) - C-1(1-x) from a data set in SCT correspond to weights w in SINT. The inverse C-1(1-x) vanishes when x=0.5. The inverses C-1(1-xPs(x)) for Two-Other (Ternary) data were regressed according the inverses for One-Other (Binary) data. The regression slope closely approximated the theoretical value of 2.0 provided the error distribution was Gaussian and failed if logistic.

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Document Type: PDF
Page count: 18
Word count: 5633
Text sample:
REFORMULATING A LINK BETWEEN SOCIAL INFLUENCE NETWORK THEORY AND STATUS CHARACTERISTICS THEORY: MAKING EXPLICIT AND TESTING A DISTRIBUTIONAL ASSUMPTION By James F. Hollander Texas Instruments Incorporated Dallas Texas mrsocion@aol.com (Submitted for American Sociological Association Philadelphia PA August 2005) ABSTRACT A feedback subject-agent model (Model 2) ) in Social Influence Network Theory (SINT) models each subject-agent i by a summing element followed by an integrator to produce a non-parametrically specified probabilistic output y(t) at time t followed by a random
Mass. Simpson Brent and Henry A. Walker. 2002. “Status Characteristics and Performance Expectations: A Reformulation.” Sociological Theory 20(1): 24-40. Webster Jr. Murray and Barbara Sobieszek. 1974. Sources of Self-Evaluation: A Formal Theory of Significant Others and Social Influence. New York: Wiley. Webster Murray and Joseph Whitmeyer. 2002. “Modeling Second-Order Expectations ” Sociological Theory 20(3): 306-327. Whitmeyer Joseph. 2002. “The Mathematics of Expectation States Theory.” Presentation at American Sociological Association Chicago. Responsibility for this paper is solely the author's and


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