Table 1.

Multivariate beta regression parameter estimates ($\hat{\beta }$), sorted by estimate level (descending), with corresponding standard errors, t-statistics, and p-values. The first column, n, represents the number of non-zero observations for each major (i.e., the number of institutions in which the field was offered as a major and at least one student graduated majoring in that field during the 2018-2019 academic year), out of the n=1,389 higher education institutions reporting SAT scores. The last two columns highlight, when the variable is significant at the 1% and 5% significance levels, the directionality of the association (positive/negative) of $\hat{\beta }$. R-squared=0.495, and overdispersion coefficient ($\hat{\varphi }=9.26$; 95% CI (8.59,9.92); p<0.0001)).

Major category	n	$\hat{\beta }$	SE	t	p	p<0.01	p<0.05
ethnic cultural gender	413	12.29	2.57	4.78	0.00	POS	POS
language	795	10.48	1.76	5.94	0.00	POS	POS
mathematics	1028	7.98	1.77	4.50	0.00	POS	POS
physical science	965	4.14	1.19	3.47	0.00	POS	POS
engineering	521	2.74	0.22	12.25	0.00	POS	POS
computer	993	2.42	0.52	4.63	0.00	POS	POS
social science	1068	2.35	0.38	6.22	0.00	POS	POS
English	1125	2.10	1.09	1.92	0.05
architecture	172	1.75	1.11	1.58	0.11
resources	581	1.54	0.89	1.72	0.08
legal	181	1.46	2.31	0.63	0.53
philosophy religious	774	1.16	0.38	3.08	0.00	POS	POS
communication	993	1.08	0.43	2.49	0.01
business marketing	1230	0.50	0.13	3.83	0.00	POS	POS
agriculture	181	0.64	0.48	1.33	0.18
communications technology	118	0.45	1.30	0.34	0.73
humanities	884	0.41	0.11	3.66	0.00	POS	POS
visual performing	1113	0.41	0.16	2.47	0.01		POS
health	1047	0.20	0.09	2.36	0.02		POS
education	1017	0.03	0.27	0.11	0.92
biological	1155	0.02	0.36	0.06	0.95
theology religious vocation	258	-0.11	0.14	-0.75	0.45
transportation	75	-0.14	0.63	-0.22	0.83
multidiscipline	811	-0.73	0.32	-2.28	0.02		NEG
family consumer science	314	-1.01	0.75	-1.34	0.18
engineering technology	287	-1.07	0.69	-1.55	0.12
public administration social service	659	-1.81	0.42	-4.31	0.00	NEG	NEG
parks recreation fitness	743	-2.18	0.45	-4.86	0.00	NEG	NEG
psychology	1186	-2.26	0.41	-5.54	0.00	NEG	NEG
history	1050	-2.41	1.69	-1.42	0.15
security law enforcement	658	-2.92	0.35	-8.39	0.00	NEG	NEG