Table 4.

Posterior summary estimates for explaining students’ stress and anxiety scores according to gender.

Parameter	Stress					Anxiety
	Mean	SD	25%	75%	CUSUM	Mean	SD	25%	75%	CUSUM
${\beta }_0\left(sample\right)$	54.357	34.881	17.772	65.386	0.004	36.102	13.433	35.3776	43.476	0.502
$\beta \left(sample\right):environment$	−0.843	2.3911	−0.997	−0.997	0.064	−0.961	2.486	−1.493	−0.482	0.686
$\beta \left(sample\right):age$	0.493	2.468	0.591	0.591	0.06	−2.962	3.412	−5.497	−1.003	0.687
${\sigma }_{sample}^2$	207.981	148.593	1.908	323.659	0	74.915	32.818	79.708	79.901	0.411
${\mu }_{{\beta }_0}$	1.968	3.488	−0.602	4.361	0.601	3.649	3.488	1.491	5.785	0.702
${\mu }_{environment}$	0.065	3.075	−2.066	2.306	0.537	0.096	3.096	−2.094	2.387	0.481
${\mu }_{age}$	0.062	3.301	−2.086	2.477	0.536	0.453	3.098	−1.994	2.446	0.554
${\tau }_{{\beta }_0}$	641.772	476.947	387.535	768.282	0.731	396.562	268.365	252.392	483.793	0.702
${\tau }_{{\beta }_0: {\beta }_{environment}}$	−8.998	45.634	−28.494	12.805	0.575	−6.322	41.162	−26.623	16.478	0.479
${\tau }_{{\beta }_0: {\beta }_{age}}$	−4.969	45.943	−25.989	17.645	0.346	−35.771	45.954	−54.301	−8.951	0.562
${\tau }_{{\beta }_0: {\beta }_{age}}$	−18.925	47.516	−34.291	4.948	0.556	−17.930	43.417	−35.801	6.492	0.481
${\tau }_{{\beta }_{environment}:{\beta }_{age}}$	0.078	2.235	−0.947	0.986	0.658	1.302	4.383	−0.901	2.898	0.571
${\tau }_{{\beta }_{age}}$	3.605	3.234	1.749	3.276	0.644	8.734	9.601	3.457	11.481	0.591
$\alpha$	2.422	2.599	0.735	2.201	0	3.781	2.894	1.802	4.821	0.634
${\beta }_0\left(gender=male\right)$	65.302	0.000	65.303	65.303	0	41.744	1.991	39.505	43.468	0
${\beta }_0\left(gender=female\right)$	65.296	0.000	66.302	65.302	0	42.487	0.031	42.484	42.485	0.004
${\beta }_{environment}\left(gender=male\right)$	−0.997	0.000	−0.97	−0.997	0	0.407	0.706	−0.591	0.954	0
${\beta }_{environment}\left(gender=female\right)$	−0.997	0.000	−0.997	−0.997	0	−1.423	0.036	−1.439	−1.439	0.006
${\beta }_{age}\left(gender=male\right)$	−0.493	0.000	−0.493	−0.493	0	−0.996	0.319	−0.998	−0.944	0
${\beta }_{age}\left(gender=female\right)$	−0.493	0.000	−0.493	−0.493	0	−5.463	0.097	−5.486	−5.409	0.004
$s^2\left(gender=male\right)$	322.567	0.000	322.567	322.567	0	76.876	4.296	73.447	79.911	0
$s^2\left(gender=female\right)$	322.567	0.000	322.567	322.567	0	94.865	24.359	79.722	105.988	0
ICC	0.975	0.403	0.975	0.999	0.733	0.938	0.304	0.979	0.998	0.602
$\mathrm{Reliability}({\beta }_{R_0})$	0.999	0.003	0.997	1.101	0.845	0.998	0.004	0.998	0.998	0.608
$\mathrm{Reliability}({\beta }_{R_{environment}})$	0.967	0.445	0.764	0.998	0.521	0.998	0.102	0.938	0.985	0.635
$\mathrm{Reliability}({\beta }_{R_{age}})$	0.959	0.444	0.764	0.998	0.682	0.941	0.084	0.972	0.996	0.503
${\beta }_{s^2}\left(acceptance rate\right)$	0.003	0.064	0.000	0.000	0	0.047	0.075	0.000	0.000	0

Source: own results.