Scientific Reports

Table 5 MAAS total score as covariate compared to correlation coefficients and model comparison ANOVA versus ANCOVA.

From: On the relationship between mind wandering and mindfulness

Measurement	GUP						EPP
	ANCOVA\(^\text {a}\)		Correlation\(^\text {b}\)		LR test	n	ANCOVA^a		Correlation^b		LR test	n
	\(\eta ^2\)	p	\(r^2\)	p	p		\(\eta ^2\)	p	\(r^2\)	p	p
SART
*Reaction time*
All Trials
Mean Go	0.004	0.248	0.004	0.293	0.232	313	0.002	0.449	0.004	0.362	0.427	228
Mean Nogo	0.008	0.123	0.010	0.086	0.110	296	0.013	0.100	0.013	0.101	0.083	213
SD Go	0.006	0.160	0.009	0.102	0.146	313	0.010	0.124	0.004	0.327	0.107	228
SD Nogo	0.005	0.245	0.008	0.151	0.225	250	0.001	0.648	0.001	0.699	0.629	191
*Accuracy*
All Trials
Go	\(<0.001\)	0.971	\(<0.001\)	0.751	0.970	313	0.001	0.603	0.002	0.456	0.586	228
Nogo	0.003	0.281	0.001	0.538	0.265	313	0.007	0.186	0.017	0.048	0.165	228
ES MW Probes
Attention Off	0.080	\(<0.001\)	0.082	\(<0.001\)	\(<0.001\)	313	0.0005	0.739	0.002	0.541	0.727	228
Meta-Awareness Off	0.001	0.684	0.0005	0.708	0.673	283	0.002	0.572	0.001	0.748	0.542	145

\(^\text {a}\)Effect sizes for the MAAS total score covariate in ANCOVAs. \(^\text {b}\)Pearson product-moment correlations between MAAS total score and the SART and ES measures. LR test \(=\) Likelihood-ratio test between ANOVA and ANCOVA models. \(\eta ^2 =\) Eta-squared effect size as proportion of variance explained by the predictor. \(r^2 =\) r-squared coefficient of determination based on the correlation coefficients, as proportion of shared variance among the two correlated variables.

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