An Introduction to the Social Relations Model David A. Kenny What is the SRM? • model for dyadic measurements • componential model • normally dyadic data are ordered such that Xij not necessarily equal to Xji • focus on random not fixed effects • allowance for nonindependence • non-sequential model Free Webinar http://davidakenny.net/webinars/Dyad/SRM/ Introduction/Introduction.html Social Relations Model: Components of Perceptions Ann Steve Bob Sue 4 Bob is friendly Social Relations Model: Components of Perceptions Ann Steve Bob Sue 5 Everyone is friendly Social Relations Model: Components of Perceptions Ann Steve Bob Sue Perceiver effect 6 Bob is friendly Social Relations Model: Components of Perceptions Bob is friendly Ann Steve Bob is friendly Bob Sue Hi!! I’m Bob. What’s your name? Target effect 7 Bob looks like friendly to me. Social Relations Model: Components of Perceptions Ann Steve Bob Sue Relationship effect 8 The Two Persons Social Relations Model: Rating How Friendly Dave Sees Tom Actor: How friendly Dave sees others in general. Partner: How friendly is Tom seen by others in general. Relationship: How much Dave believes that Tom is especially friendly. Social Relations Model: Liking How Much Dave Likes Tom Actor: How much Dave likes others in general. Partner: How much Tom is liked by others in general. Relationship: How much Dave particularly likes Tom. Social Relations Model: Behavior How Much Dave Gazes at Tom Actor: How much Dave gazes at others in general. Partner: How much Tom is gazed at by others in general. Relationship: How much Dave particularly gazes at Tom. Like Two-Way ANOVA Actor: The “main effect” of the responder. Partner: The “main effect” of the other. Relationship: The interaction of actor and partner with the main effects removed. Focus on Variance We could estimate particular actor, partner, and relationship effects: For example, Dave’s actor effect. Within the SRM the focus in not on a particular effect but on the variance in effects. Other Terms Area Person Perception Nonverbal Persuasion Aggression Sport’s Score Actor Perceiver Receiver Decoder Receiver Perpetrator Offense Partner Target Sender Encoder Source Victim Defense Variance vs. Effect Actor Variance Definition: How different people are people in their actor effects. Actor Effect Definition: How different a given person’s in how he or she generally responds to others. Example There is not a lot of actor variance in liking; Dave has a large actor effect. Other Possible Units Animals sharks primates elephants mice Tribes (Brewer & Campbell) or Countries Groups, Organizations, or Teams SRM Equation For actor i with partner j in group k: Xijk = mk + aik + bjk + gijk Reciprocity Equations Xijk = mk + aik + bjk + gijk Xjik = mk + ajk + bik + gjik Reciprocity Dyadic Correlation of relationship effects or between gijk with gjik. Actor-Partner (Generalized or Individual Reciprocity) Correlation of actor and partner effects or between aik with bik. Sources of SRM Nonindependence Actor Partner Dyadic Reciprocity Actor-Partner Reciprocity Group as a Source of Nonindependence Similar Scores for members of the same group Norms, climate, or environment However, typically the effect of groups with the exception is one of contrast. Members are see as different from each other. SRM Example: Liking Variance Partitioning Liking Friendship Dating Actor .15 Partner Relat. Error .14 .40 .31 .12 .26 .32 .30 Reciprocity Liking Friendship Dating Actor-Partner Relationship (Generalized) (Dyad) .12 .58 -.42 .13 SRM Example: Liking Variance Partitioning Liking Friendship Actor .15 Likeability .10 Partner Relat. Error .14 .40 .31 .14 .31 .45 Reciprocity Liking Friendship Likeability Actor-Partner Relationship (Generalized) (Dyad) .12 .58 .28 .80 SRM Example: Leadership Variance Partitioning Leadership Actor .09 Partner Relat. Error .43 .19 .29 Reciprocity Leadership Actor-Partner Relationship (Generalized) (Dyad) .14 .03 SRM Published Papers 90 80 70 60 50 40 30 20 10 0 78-83 84-89 90-95 96-01 02-07 08-13 Suggested Readings Back, M. D., & Kenny D. A. (2010). The Social Relations Model: How to understand dyadic processes. Social and Personality Psychology Compass, 4, 855-870. Dyadic Data Analysis, Kenny, Kashy, & Cook, Chapters 8 and 9 http://davidakenny.net/doc/srmbiblio.pdf The End!