Table 2.

Parameter estimates from Bayesian beta regression models.

Outcome	Parameter	Estimate	SE	95% CI		Pr(β > 0)
				Lower	Upper
	Intercept	0.320	0.059	0.201	0.434	1.000
	Gender	0.076	0.077	−0.080	0.222	0.830
	Location	0.105	0.080	−0.050	0.263	0.907
	Age 15–16	−0.008	0.081	−0.166	0.150	0.460
MSE	Age 17+	0.053	0.097	−0.139	0.242	0.706
	Gender × Location	−0.106	0.085	−0.271	0.064	0.105
	Gender × Age 15–16	−0.073	0.088	−0.250	0.093	0.209
	Gender × Age 17+	−0.344	0.135	−0.608	−0.079	0.007
	Location × Age 15–16	0.020	0.091	−0.161	0.195	0.594
	Location × Age 17+	0.149	0.145	−0.126	0.440	0.856
	Intercept	0.152	0.065	0.025	0.280	0.990
	Gender	0.024	0.088	−0.148	0.198	0.609
	Location	0.140	0.084	−0.023	0.306	0.954
	Age 15–16	0.048	0.091	−0.132	0.224	0.698
MTAI	Age 17+	0.053	0.113	−0.166	0.277	0.681
	Gender × Location	0.067	0.094	−0.111	0.256	0.754
	Gender × Age 15–16	−0.111	0.100	−0.308	0.087	0.129
	Gender × Age 17+	−0.081	0.154	−0.381	0.223	0.301
	Location × Age 15–16	−0.121	0.096	−0.309	0.068	0.104
	Location × Age 17+	−0.117	0.104	−0.420	0.188	0.226
	Intercept	−0.854	0.117	−1.089	−0.631	0.000
	Gender	−0.067	0.149	−0.362	0.221	0.333
	Location	0.126	0.149	−0.167	0.418	0.802
	Age 15–16	−0.003	0.155	−0.305	0.303	0.489
MAT	Age 17+	0.164	0.194	−0.224	0.537	0.808
	Gender × Location	−0.135	0.163	−0.459	0.180	0.197
	Gender × Age 15–16	0.471	0.172	0.130	0.803	0.997
	Gender × Age 17+	−0.184	0.259	−0.706	0.311	0.247
	Location × Age 15–16	−0.157	0.163	−0.482	0.158	0.163
	Location × Age 17+	−0.169	0.277	−0.720	0.364	0.274

Bold entries indicate effects with 95% credible intervals excluding zero. Pr(β > 0) is the posterior probability that the coefficient is positive; for negative effects, Pr(β < 0) = 1 − Pr(β > 0). Models fitted using Bayesian Beta regression with Student-t(3, 0, 2.5) priors. MSE, Mathematics Self-Esteem; MTAI, Mathematics Test Anxiety Inventory; MAT, Mathematics Achievement Test.