Table 1
Reliability Coefficients, Descriptive Statistics, and Correlation Matrix for Religious Belief and Target Variables in Study 1.
| α/ω | M | SD | CRT (7-ITEM) | CRT (3-ITEM) | IRI-EC | CREDs | |
|---|---|---|---|---|---|---|---|
| Religious belief | .91/.92 | 3.94 | 1.23 | –.156 | –.147 | .237 | .261 |
| CRT (7-item) | .72/.72 | 4.11 | 2.06 | – | .858 | –.011 | –.117 |
| CRT (3-item) | .62/.63 | 1.57 | 1.10 | – | .001 | –.117 | |
| IRI-EC | .82/.82 | 4.55 | 0.92 | – | .132 | ||
| CREDs | .87/.87 | 3.27 | 1.21 | – |
Table 2
Results of Multiple Regression Analysis for the 7-item CRT score in Study 1 (Classical and Bayesian inference).
| STEP 1 | STEP 2 | STEP 3 | BAYESIAN INFERENCE | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| β | 95% CI | t | p | β | 95% CI | t | p | β | 95% CI | t | p | β | 89% HPDI | |
| Age | .067 | [.016, .117] | 2.58 | .010 | .072 | [.021, .122] | 2.80 | .005 | .029 | [–.019, .077] | 1.17 | .241 | .029 | [–.010, .068] |
| Gender | –.454 | [–.572, –.336] | –7.52 | < .001 | –.415 | [–.533, –.296] | –6.86 | < .001 | –.400 | [–.512, –.287] | –6.96 | < .001 | –.397 | [–.488, –.305] |
| Education | –.062 | [–.114, –.010] | –2.32 | .021 | –.033 | [–.086, .020] | –1.21 | .228 | –.037 | [–.088, .013] | –1.44 | .149 | –.037 | [–.078, .003] |
| Monthly Income | .090 | [.033, .147] | 3.09 | .002 | .085 | [.029, .142] | 2.95 | .003 | .069 | [.015, .122] | 2.49 | .013 | .068 | [.024, .112] |
| CRT (7-item) | –.129 | [–.181, –.077] | –4.89 | < .001 | –.097 | [–.147, –.048] | –3.86 | < .001 | –.097 | [–.138, –.058] | ||||
| IRI-EC | .194 | [.146, .242] | 7.93 | < .001 | .194 | [.155, .232] | ||||||||
| CREDs | .224 | [.175, .272] | 9.09 | < .001 | .224 | [.184, .263] | ||||||||
| R2 | .044 | .059 | .155 | |||||||||||
| ΔR2 | .015 | .096 | ||||||||||||

Figure 1
Boxplots with Jittered Individual Data Points Showing Religious Belief Score as a Function of Correct Responses on the 7-item CRT in Study 1.
Table 3
Reliability Coefficients, Descriptive Statistics, and Correlation Matrix for Supernatural Belief and Target Variables in Study 2.
| α/ω | M | SD | CRT (7-ITEM) | CRT (3-ITEM) | IRI-EC | CREDs | |
|---|---|---|---|---|---|---|---|
| SBS | .90/.91 | 3.83 | 1.4 | –.093 | –.084 | .192 | .167 |
| CRT (7-item) | .72/.73 | 4.26 | 2.06 | – | .865 | –.050 | –.066 |
| CRT (3-item) | .65/.65 | 1.64 | 1.12 | – | –.053 | –.052 | |
| IRI-EC | .82/.82 | 4.56 | 0.9 | – | .146 | ||
| CREDs | .87/.87 | 3.27 | 1.19 | – |
Table 4
Results of Multiple Regression Analysis for the 7-item CRT score in Study 2 (Classical and Bayesian inference).
| STEP 1 | STEP 2 | STEP 3 | BAYESIAN INFERENCE | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| β | 95% CI | t | p | β | 95% CI | t | p | β | 95% CI | t | p | β | 89% HPDI | |
| Age | .091 | [.037, .145] | 3.31 | .001 | .092 | [.038, .146] | 3.35 | .001 | .053 | [.000, .107] | 1.96 | .050 | .053 | [.011, .096] |
| Gender | –.390 | [–.515, –.266] | –6.15 | < .001 | –.368 | [–.493, –.242] | –5.75 | < .001 | –.343 | [–.466, –.220] | –5.48 | < .001 | –.342 | [–.441, –.243] |
| Education | –.011 | [–.066, .045] | –0.37 | .709 | .005 | [–.052, .062] | 0.18 | .855 | .007 | [–.049, .062] | 0.24 | .810 | .007 | [–.039, .052] |
| Monthly Income | .021 | [–.031, .081] | 0.70 | .486 | .015 | [–.045, .075] | 0.49 | .624 | .018 | [–.041, .077] | 0.61 | .544 | .018 | [–.030, .066] |
| CRT (7-item) | –.074 | [–.128, –.019] | –2.62 | .009 | –.059 | [–.112, –.005] | –2.14 | .033 | –.059 | [–.103, –.014] | ||||
| IRI-EC | .150 | [.097, .203] | 5.51 | < .001 | .150 | [.107, .193] | ||||||||
| CREDs | .136 | [.084, .189] | 5.06 | < .001 | .137 | [.093, .180] | ||||||||
| R2 | .036 | .041 | .086 | |||||||||||
| ΔR2 | .005 | .045 | ||||||||||||

Figure 2
Boxplots with Jittered Individual Data Points Showing Supernatural Belief Scale Score as a Function of Correct Responses on the 7-item CRT in Study 2.
