Examining Possible Perceptual Proxies of Flow State

Table 1 Multilevel analyses of relation between flow and proxy variables by condition No Friction First Implied Friction First No Friction Implied Friction Implied Friction No Friction Fixed Components BT House BT House BT House BT House Flow Intercept ( β0j) Intercept γ00 3.86 3.39 3.63 3.15 3.35 3.26 3.59 3.50 Agency Slope ( β2ij) Intercept γ 20 1.55* 0.16 1.95* 0.56 4.60† 0.90 4.19† 0.50 Flow Intercept ( β0j) Intercept γ00 3.87 3.41 3.61 3.14 3.35 3.27 3.62 3.54 BTC Slope ( β2ij) Intercept γ 20 0.00** -0.00 0.00* -0.00 -0.00 -0.00 -0.00 -0.00 Flow Intercept ( β0j) Intercept γ00 3.88 3.41 3.61 3.14 3.34 3.26 3.61 3.53 FD Slope ( β2ij) Intercept γ 20 0.01 -0.00 0.01 -0.00 -0.00 -0.00 -0.00 -0.00 Note. † p < .10, * p < .05, ** p < .01, p < .001. BTC = Block time contraction. FD = Forward Displacement Table 2 Experiment 2 Multilevel analyses of relation between flow and proxy variables by condition No Friction First Implied Friction First No Friction Implied Friction Implied Friction No Friction Fixed Components BT House BT House BT House BT House Flow Intercept ( β0j) Intercept γ00 3.44 3.55 3.32 3.42 3.65 3.54 3.77 3.66 TTC Slope ( β2ij) Intercept γ 20 -0.01 0.06 -0.02 0.06 -0.01 0.03* -0.01 0.04** Flow Intercept ( β0j) Intercept γ00 3.39 3.59 3.39 3.59 3.69 3.43 3.69 3.43 BTC Slope ( β2ij) Intercept γ 20 -0.00 0.00 -0.00 0.00 -0.00† -0.00* -0.00** -0.00** Flow Intercept ( β0j) Intercept γ00 3.38 3.69 3.36 3.67 3.68 3.32 3.71 3.34 FD Slope ( β2ij) Intercept γ 20 -0.00 -0.00 -0.00 -0.00 0.00 -0.02 -0.00 -0.02 Note. † p < .10, * p < .05, ** p < .01, p < .001. TTC = Trial time contraction; BTC = Block time contraction; FD = Forward displacement. Level 1: Ŷ (Flow) = β0j + β1ij (Context) + β2ij (Proxy) + β3ij (Context * Proxy) + rij Level 2: β0j = γ00 + γ01(Order) + γ02*(Concept) + γ03(Order *Concept) + u0j β1j = γ10 + u1j β2j = γ20 + γ21(Order) + γ22*(Concept) + γ23(Order *Concept) + u2j β3j = γ30 + u3j