Model Fit Comparison

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Figure S3b.1. Fit of the linear model to the data.

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Figure S3b.2. Fit of the quadratic model to the data.

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Quadratic Model

\(y =a+ bx + cx^{2}\), where y is Positive Affect and x is Social Time.

Table S3a.1. Linear and quadratic effects of social time.
    Positive Affect
    B CI p
(Intercept)   -0.00 -0.15 – 0.15 1.00
Linear   0.22 0.08 – 0.37 .003
Quadratic   -0.11 -0.25 – 0.04 .150
Observations  174
R2 / adj. R2  .062 / .051

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Figure S3a.3. Linear, quadratic, and piecemeal relationship (all observations).

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Diagnostics

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Assumptions

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Table S3a.2. Omnibus diagnostic statistics for the quadratic model.
Value p-value Decision
Global Stat 5.90 0.207 Assumptions acceptable.
Skewness 2.94 0.086 Assumptions acceptable.
Kurtosis 0.50 0.478 Assumptions acceptable.
Link Function 0.16 0.686 Assumptions acceptable.
Heteroscedasticity 2.29 0.130 Assumptions acceptable.

Notes. Tests are directional test statistic
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Figure S3a.4. Omnibus diagnostic statistics for the quadratic model.

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Influential Cases.

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Figure S3a.5. Most influential cases by leverage (x-axis), std. residual (y-axis), and Cook’s distance (circle size).

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Table S3a.3. Most influential cases by leverage, studentized residual, and Cook’s distance.
StudRes Hat CookD
22 -3.5 0.01 0.03
74 1.1 0.17 0.08
134 2.0 0.07 0.11

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Replottig: Influential Cases Removed

Figure S3a.6. Linear, quadratic, and piecemeal relationship with the most influential cases removed.

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Figure S3a.7. Is the re-specificied model still a good fit to the data?

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Moderation Model

\(y =x + x^{2} + m +mx + mx^{2}\), where y is Positive Affect, x is Relatedness, and m is Social Time.

Table S3a.4. Linear and quadratic effects of social time.
    Positive Affect
    B CI p
(Intercept)   0.04 -0.11 – 0.18 .599
Moderation   -0.14 -0.27 – -0.00 .046
Observations  174
R2 / adj. R2  .261 / .239

Plotting: All Observations

Figure S3b.8. Moderation plot.

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Figure S3b.9. Moderation perspective plot.

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Figure S3b.10. Moderation interactive plot.

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Diagnostics

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Assumptions

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Table S3b.5. Omnibus diagnostic statistics for the moderation model.
Value p-value Decision
Global Stat 4.6 0.33 Assumptions acceptable.
Skewness 0.0 0.98 Assumptions acceptable.
Kurtosis 0.1 0.75 Assumptions acceptable.
Link Function 0.7 0.40 Assumptions acceptable.
Heteroscedasticity 3.8 0.05 Assumptions acceptable.

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Figure S3b.11. Omnibus diagnostic statistics for the moderation model.