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. 2022 May 27;119(22):e2111091119. doi: 10.1073/pnas.2111091119

Table 2.

Random intercept–only models testing confirmatory effects of experimental conditions (Hypothesis 1) and autonomous and controlled motivation (Hypothesis 2) on outcomes

Outcome and term B SE t df rp 95% CI around rp P value Variance of random effects
Lower Upper
Autonomous motivation Hypothesis 1
 Controlling (intercept) 6.01 0.06 107.99 76.01 0.048 0.036 0.060 <0.001 0.191
 Vs. no message −0.04 0.02 −2.10 25,649.85 –0.012 –0.024 -0.001 0.036
 Vs. autonomy supportive 0.10 0.02 5.83 25,649.03 0.034 0.021 0.046 <0.001
Controlled motivation Hypothesis 1
 Controlling (intercept) 4.57 0.06 78.37 77.52 0.099 0.088 0.112 <0.001 0.20
 Vs. no message −0.34 0.02 −16.24 25,646.41 –0.096 –0.108 –0.084 <0.001
 Vs. autonomy supportive −0.09 0.02 −4.47 25,644.91 –0.026 –0.039 –0.014 <0.001
Defiance Hypothesis 1
 Controlling (intercept) 2.77 0.05 55.54 69.88 0.073 0.061 0.085 <0.001 0.13
 Vs. no message −0.01 0.02 −0.44 25,412.46 –0.003 –0.015 0.000 0.657
 Vs. autonomy supportive −0.25 0.02 −10.50 25,409.08 –0.064 –0.076 –0.052 <0.001
Defiance Hypothesis 2
 Intercept 6.20 0.07 93.79 297.72 0.524 0.516 0.532 <0.001 0.11
 Autonomous motivation −0.75 0.01 −94.64 25,338.34 –0.522 –0.530 –0.514 <0.001
 Controlled motivation 0.23 0.01 36.10 25,413.67 0.223 0.211 0.234 <0.001
Intention to avoid 1 wk Hypothesis 1
 Controlling (intercept) 5.42 0.07 77.26 74.77 0.017 0.007 0.030 <0.001 0.30
 Vs. no message 0.06 0.02 2.91 25,235.70 0.017 0.005 0.029 0.004
 Vs. autonomy supportive 0.03 0.02 1.52 25,234.29 0.009 0.001 0.021 0.128
Intention to avoid 1 wk Hypothesis 2
 Intercept 2.00 0.07 28.24 212.79 0.446 0.437 0.456 <0.001 0.17
 Autonomous motivation 0.58 0.01 75.29 25,252.95 0.433 0.423 0.442 <0.001
 Controlled motivation −0.01 0.01 −0.92 25,265.99 –0.006 –0.018 0.000 0.355
Intention to avoid 6 mo Hypothesis 1*
 Controlling (intercept) 17.20 0.27 64.42 72.23 0.012 0.003 0.025 <0.001 4.02
 Vs. no message −0.01 0.10 −0.10 24,606.22 –0.001 –0.014 0.000 0.917
 Vs. autonomy supportive −0.17 0.10 −1.72 24,604.00 –0.010 –0.023 –0.001 0.086
Intention to avoid 6 mo Hypothesis 2*
 Intercept 2.50 0.29 8.75 292.37 0.466 0.457 0.475 <0.001 2.05
 Autonomous motivation 2.76 0.03 79.95 24,528.81 0.465 0.456 0.474 <0.001
 Controlled motivation −0.45 0.03 −15.97 24,607.37 –0.102 –0.114 –0.090 <0.001

B is the unstandardized coefficient; rp is the partial standardized effect size for each coefficient. N = 25,718. Controlling: n = 8,368; no message: n = 8,790; autonomy supportive: n = 8,560. The controlling message was the reference group. We report three decimal places for p and rp and its 95% CI since our interval null is rp = –0.025 to 0.025 and two decimals for all other values. df, degree of freedom.

*Excluding erroneous data.