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Slides : faculty/ sanja /Boulder_2012/ Moderating_covariances_IQ_SES /Slides

Slides : faculty/ sanja /Boulder_2012/ Moderating_covariances_IQ_SES /Slides. Moderating covariances: practical.

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Slides : faculty/ sanja /Boulder_2012/ Moderating_covariances_IQ_SES /Slides

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  1. Slides: faculty/sanja/Boulder_2012/Moderating_covariances_IQ_SES/Slides

  2. Moderating covariances: practical

  3. Turkheimer, E., Haley, A., Waldron, M., D'Onofrio, B., & Gottesman, I.I. (2003). Socioeconomic status modifies heritability of IQ in young children. Psychological Science, 14(6), 623-628.

  4. Current practical: Does SES modify variance components of IQ in 5 year old children? Data: N = 430 twin pairs (205 MZ, 225 DZ) IQ scaled to have mean = 0 and variance = 1 SES measured on a 5-point scale (1 = low, 5 = high) Is the magnitude of variance components modified by the children’s SES? zygosity socioeconomic status IQ twin 1 IQ twin 2

  5. Current practical: Does SES modify variance components of IQ in 5 year old children? Model: rA=.5/1 rC=1 A1 C1 E1 A2 C2 E2 a+βXM1 c+βYM1 e+βZM1 a+βXM2 c+βYM2 e+βZM2 μ+βMM1 1 IQ1 μ+βMM2 IQ2 1 Twin 1 Twin 2

  6. Current practical: Does SES modify variance components of IQ in 5 year old children? Model: rA=.5/1 rC=1 A1 C1 E1 A2 C2 E2 a+βXSES1 c+βYSES1 e+βZSES1 a+βXSES2 c+βYSES2 e+βZSES2 μ+βMSES1 1 IQ1 μ+βMSES2 IQ2 1 Twin 1 Twin 2

  7. Current practical: Does SES modify variance components of IQ in 5 year old children? Parameters to estimate: rA=.5/1 rC=1 A1 C1 E1 A2 C2 E2 a+βXSES1 c+βYSES1 e+βZSES1 a+βXSES2 c+βYSES2 e+βZSES2 μ+βMSES1 1 IQ1 μ+βMSES2 IQ2 1 Twin 1 Twin 2

  8. Current practical: Does SES modify variance components of IQ in 5 year old children? Parameters to estimate: rA=.5/1 rC=1 A1 C1 E1 A2 C2 E2 a+βXSES1 c+βYSES1 e+βZSES1 a+βXSES2 c+βYSES2 e+βZSES2 1 IQ1 μ+βMSES1 μ+βMSES2 IQ2 1 Twin 1 Twin 2 magnitude of A effects on IQ magnitude of C effects on IQ magnitude of E effects on IQ

  9. Current practical: Does SES modify variance components of IQ in 5 year old children? Parameters to estimate: rA=.5/1 rC=1 A1 C1 E1 A2 C2 E2 a+βXSES1 c+βYSES1 e+βZSES1 a+βXSES2 c+βYSES2 e+βZSES2 1 IQ1 μ+βMSES1 μ+βMSES2 IQ2 1 Twin 1 Twin 2 moderation of A effects on IQ by SES moderation of C effects on IQ by SES moderation of E effects on IQ by SES

  10. Current practical: Does SES modify variance components of IQ in 5 year old children? Parameters to estimate: rA=.5/1 rC=1 A1 C1 E1 A2 C2 E2 a+βXSES1 c+βYSES1 e+βZSES1 a+βXSES2 c+βYSES2 e+βZSES2 1 IQ1 μ+βMSES1 μ+βMSES2 IQ2 1 Twin 1 Twin 2 intercept magnitude of main effect of SES on IQ

  11. Current practical: Does SES modify variance components of IQ in 5 year old children? Model: rA=.5/1 rC=1 A1 C1 E1 A2 C2 E2 a+βXM1 c+βYM1 e+βZM1 a+βXM2 c+βYM2 e+βZM2 μ+βMM1 1 IQ1 μ+βMM2 IQ2 1 Twin 1 Twin 2

  12. Current practical: Does SES modify variance components of IQ in 5 year old children? Model: Expectations for means (conditional on the level of the moderator Mi): mean(IQi|Mi) = (a+βXMi)*mean(Ai) + (c+βYMi)*mean(Ci) + (e+βZMi)*mean(Ei) + (μ+βMMi)*1 = (a+βXMi)*0 + (c+βYMi)*0 + (e+βZMi)*0 + (μ+βMMi)*1 = μ+βMMi for i = 1, 2 (twin 1, twin 2) rA=.5/1 rC=1 A1 C1 E1 A2 C2 E2 a+βXM1 c+βYM1 e+βZM1 a+βXM2 c+βYM2 e+βZM2 μ+βMM1 1 IQ1 μ+βMM2 IQ2 1 Twin 1 Twin 2

  13. Current practical: Does SES modify variance components of IQ in 5 year old children? Model: Expectations for variances (conditional on the level of the moderator Mi): var(IQi|Mi) = (a+βXMi)^2*var(Ai) + (c+βYMi)^2*var(Ci) + (e+βZMi)^2*var(Ei) + (μ+βMMi)^2*0 = (a+βXMi)^2*1 + (c+βYMi)^2*1 + (e+βZMi)^2*1 + 0 = (a+βXMi)^2 + (c+βYMi)^2 + (e+βZMi)^2 for i = 1, 2 (twin 1, twin 2) rA=.5/1 rC=1 A1 C1 E1 A2 C2 E2 a+βXM1 c+βYM1 e+βZM1 a+βXM2 c+βYM2 e+βZM2 μ+βMM1 1 IQ1 μ+βMM2 IQ2 1 Twin 1 Twin 2

  14. Practical: faculty/sanja/Boulder_2012/Moderating_covariances_IQ_SES/Practical

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