Is equine colic seasonal? Novel application of a model based approach

BMC Veterinary Research

Table 2 Parameter estimates from the regression models for each colic type.

Colic type	Parameter	Posterior Mean	Posterior Standard Deviation	95% Credible Interval
All Colics	Intercept	2.849	0.966	1.059, 4.737
	S₁₂	0.082	0.043	-0.002, 0.167
	C₁₂	0.029	0.043	-0.055, 0.113
	S₆	-0.132	0.033	-0.196, -0.067
	C₆	-0.007	0.033	-0.071, 0.058
	α	0.005	0.012	-0.018, 0.029
All Surgical	Intercept	2.159	1.089	-0.017, 4.156
	S₁₂	0.065	0.054	-0.042, 0.173
	C₁₂	0.034	0.055	-0.073, 0.142
	S₆	-0.114	0.042	-0.196, -0.032
	C₆	-0.037	0.041	-0.119, 0.044
	α	0.007	0.015	-0.024, 0.037
All Medical	Intercept	2.218	1.035	0.271, 4.225
	S₁₂	0.117	0.061	-0.001, 0.237
	C₁₂	0.021	0.059	-0.095, 0.136
	S₆	-0.167	0.051	-0.267, -0.067
	C₆	0.044	0.049	-0.054, 0.140
	α	0.004	0.014	-0.023, 0.031
Equine Grass Sickness	Intercept	-1.430	1.278	-3.750, 1.244
	S₁₂	-0.275	0.190	-0.655, 0.093
	C₁₂	-1.060	0.206	-1.481, -0.673
	S₆	-0.638	0.172	-0.980, -0.306
	C₆	0.041	0.163	-0.277, 0.357
	α	0.006	0.024	-0.042, 0.054
Epiploic Foramen Entrapment	Intercept	-0.698	1.029	-2.710, 1.456
	S₁₂	0.396	0.199	0.013, 0.794
	C₁₂	0.590	0.168	0.271, 0.929
	S₆	0.028	0.167	-0.302, 0.356
	C₆	0.404	0.169	0.077, 0.736
	α	0.002	0.020	-0.038, 0.041
Pedunculated Lipoma	Intercept	-0.253	1.123	-2.489, 1.872
	α	0.010	0.019	-0.028, 0.049
Large Colon Impaction	Intercept	0.057	0.957	-1.643, 1.999
	S₁₂	0.265	0.118	0.033, 0.497
	C₁₂	0.389	0.118	0.162, 0.622
	α	0.005	0.021	-0.038, 0.046
Large Colon Displacement/Torsion	Intercept	-0.275	1.112	-2.388, 2.065
	S₁₂	0.116	0.101	-0.084, 0.315
	C₁₂	0.166	0.110	-0.049, 0.383
	S₆	-0.234	0.090	-0.410, -0.058
	C₆	-0.256	0.090	-0.433, -0.080
	α	0.005	0.022	-0.039, 0.049

For compactness, S₁₂ = $\sin (\frac{2 π t}{12})$ , C₁₂ = $\cos (\frac{2 π t}{12})$ , S₆ = $\sin (\frac{2 π t}{6})$ and C₆ = $\cos (\frac{2 π t}{6})$

ISSN: 1746-6148