1 / 24

Modeling Interaction Between Family Members

This presentation delves into the complex interactions between family members, highlighting how individuals affect one another even in the absence of outside influence. We explore issues such as the effects of sibling interactions, peer effects, spousal interaction, and mother-child dynamics. Utilizing models and tools like OpenMx, we aim to understand how these interactions manifest statistically and structurally. Through examining various studies on twin and sibling dynamics, as well as spousal interactions, we'll uncover insights into the implications of social interactions on familial relationships.

rollo
Download Presentation

Modeling Interaction Between Family Members

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Modeling Interaction Between Family Members When you are by yourself and have no one to ask.

  2. Thank Tim York

  3. So Far: Have assumed people don’t affect each other May not be true

  4. Examples • Do sibs (twins) affect each other? • Peer effects? • Spousal interaction? • Mother-child interaction?

  5. THINK! • How do you think the world works? • How do you translate “how the world works” into: • design (choice of subjects) • measurement • model (diagram, algebra) • data (expectations for statistics) • analysis (code, decision) OpenMx can help you do the nuts and bolts.

  6. Two Examples • Twin and sibling Interaction • Assortative mating and spousal interaction

  7. Some early papers (caveat emptor!) • Eaves, LJ (1976) A model for sibling effects in man. Heredity 36:205-214. • Carey G (1986) Sibling imitation and contrast effects. Behavior Genetics 38:319-341 • Heath AC (1987) The analysis of marital interaction in cross-sectional twin data. ActaGenetica Med. et Gemellol.36:5-20. • Nance WE, Kramer AA, Corey LA, Winter PM, Eaves LJ (1983) A causal analysis of birthweight in the offspring of monozygotic twins. Am. J. hum. Genet. 35:1211-1223. • Lytton H, Martin NG, Eaves LJ (1977) Environmental and genetical causes of variation in ethological aspects of behavior in two year old boys. Social Biol. 24:200-211.

  8. Approach Start without interaction Figure out covariances between relatives “Include interaction” Use OpenMx to figure out what happens if….

  9. Cooperation and competition in twins

  10. Structure BEFORE interaction S= A+C+E | gA+C gA+C | A+C+E

  11. b12 b21

  12. What is structure after interaction?

  13. What is structure AFTER interaction? S*= (I-B)-1S(I-B)’-1 Where B= ( 0 b12 ) b210 Note: Compare this with the LISREL model

  14. RUN AN EXAMPLE…BRAD!!!!

  15. Now Try It Yourself!Work out expected covariances and correlations • For different values of b (symmetric) • Use positive and negative values of b • For models with and without A • Try to predict your answers • Summarize the principal implications of social interaction for the data • Under what circumstances are you likely/unlikely to detect interactions?

  16. Now…Think about other worlds • What would you expect for singletons • What do you think would happen in larger sibships (3,4…siblings)? • How would you model the process? TRY IT!!!!

  17. Spousal Interaction: S

  18. What is B? S1 T1 T2 S2 S1 T1 T2 S2

  19. What is B? S1 T1 T2 S2 S1 0 b 0 0 T1 b 0 0 0 T2 0 0 0 b S2 0 0 b 0

  20. What does this model assume?

  21. What does this model assume? • Both twins married • Mutual effect of husbands and wives symmetric • “Phenotypic” assortment for initial trait • Process has reached developmental equilibrium - implied by (I-B)-1 - limit of infinite series of interactions.

More Related