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Social Relations Model: Estimation Indistinguishable Dyads David A. Kenny.

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Presentation on theme: "Social Relations Model: Estimation Indistinguishable Dyads David A. Kenny."— Presentation transcript:

1 Social Relations Model: Estimation Indistinguishable Dyads David A. Kenny

2 Strategies Multilevel ANOVA

3 MLM Strategy Better statistically than the ANOVA approach Allows for missing data One setup for all designs Can estimate non-saturated models (e.g., model with group variances set to zero). Can more easily estimate the effects of multiple fixed variables.

4 With SPSS, HLM and R’s nlme Cannot estimate the full SRM. Must assume zero actor-partner covariance positive dyadic reciprocity

5 With SAS and MLwiN A method developed by Tom Snijders Can estimate the full SRM.

6 Snijders Approach: Group Level Effects can vary at the group level.

7 Snijders Approach: Dyad Level At the dyad level there are two scores, one for person A with B and one for person B with A. Set these two variances to be equal and allow for a correlation to measure dyadic reciprocity.

8 Advantages More powerful statistical tests. Allows for missing data. Non-saturated models can be estimated, e.g., a model where generalized reciprocities are set to zero. Easy to estimate effects of covariates.

9 ANOVA Strategy Oldest Uses Expected Mean Squares Two Major Programs TripleR SOREMO

10 TripleR Schmukle, Schönbrodt, & Back project.org/web/packages/Tripl eR/index.html 94/Round_robin_analyses_in_R _How_to_use_TripleR

11 TripleR Schmukle, Schönbrodt, & Back project.org/web/packages/Tripl eR/index.html 94/Round_robin_analyses_in_R _How_to_use_TripleR

12 SOREMO FORTRAN program originally written in the early 1980s. WINSOREMO makes the running of SOREMO much easier.

13 Estimation Strategy Computes estimates of actor, partner, and relationship effects. Computes their variance. Adjust the variances by irrelevant components; e.g., variance of actor effects contains relationship variance (Expected Mean Squares)

14 Getting the Data Ready One line per each cell of the design Ordered as follows:,,,, …, All variables on that line Fixed format Personality variable before dyadic variables No missing data

15 Decisions Same group sizes? Self data? Personality variables? Constructs? Reverse Variables?

16 Output Univariate Multivariate

17 Univariate Output Variance Partitioning RELATIVE VARIANCE PARTITIONING VARIABLE ACTOR PARTNER RELATIONSHIP CONTRIBUTE.335*.345*.320 INFLUENCE.191*.443*.365 EXHIBIT.177*.498*.325 CONTROL.242*.371*.386 PREFER.173*.270*.557

18 Multivariate Output Matrix: Actor by Actor ACTOR BY ACTOR CORRELATION MATRIX CONTRIBUTE INFLUENCE EXHIBIT CONTROL PREFER CONTRIBUTE INFLUENCE EXHIBIT CONTROL PREFER Matrices for Actor, Partner, Actor X Partner, Relationship Intrapersonal, and Relationship Interpersonal

19 Construct Variance Partitioning STABLE CONSTRUCT VARIANCE VARIABLE ACTOR PARTNER RELATIONSHIP LEADERSHIP UNSTABLE CONSTRUCT VARIANCE VARIABLE ACTOR PARTNER RELATIONSHIP LEADERSHIP

20 Anomalous Results with ANOVA Estimation Negative Variances Out-of-range Correlations

21 Negative Variances Ordinarily impossible Happens in SRM analyses Can treat the variance as if it were zero.

22 Out-of-range Correlations A correlation greater than +1 or less than -1. Two possibilities Correlation very near one. Variance due to the component near zero.

23 Summary of Results Using Different Programs TermSOREMOSPSS MLM Mean3.868 Actor Variance Partner Variance Group Variance A-P Covariance Error Variance Error Covariance

24 Suggested Readings Appendix B in Kenny’s Interpersonal Perception (1994) Kenny & Livi (2009), pp

25 Thank You!


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