Table A3. Hierarchical regression models...

Table A3.

Hierarchical regression models of fixation and duration

	Dependent variable
	Fixation			Fixation duration
Independent variable	b	OR	Sig	b	Β	Sig
Block 1: Fixed effects	R² = 0.7%, ΔR² = 0.7%			R² = 6.9%, ΔR² = 6.9%
Intercept	1.13	3.09	***	6.75		***
Block 2: Salience variables	R² = 32.2%, ΔR² = 31.5%			R² = 21.2%, ΔR² = 14.3%
Size (0–1, centred)	5.40	221.21	***	0.62	0.25	***
Brightness median (0–1, centred)	−0.01	0.99		−0.12	−0.03	***
Clutter	−0.36	0.70	***	0.01	0.01
Block 3: Colour variables	R² = 32.6%, ΔR² = 0.4%			R² = 21.5%, ΔR² = 0.4%
Red percent (0–1, centred)	0.76	2.14	**	−0.35	−0.01	**
Dark red percent (0–1, centred)	0.39	1.47	***	0.06	0.005
Orange percent (0–1, centred)	−0.61	0.54	***	0.02	0.002
Dark orange percent (0–1, centred)	0.51	1.67	***	0.10	0.02	***
Yellow percent (0–1, centred)	5.01	149.65	***	1.01	0.04	***
Dark yellow percent (0–1, centred)	0.03	1.04		0.27	0.01	**
Green percent (0–1, centred)	0.39	1.47		0.21	0.01	*
Blue percent (0–1, centred)	−0.08	0.92		0.03	0.001
Dark blue percent (0–1, centred)	−0.22	0.80	**	−0.24	−0.03	***
Purple percent (0–1, centred)	0.46	1.58		0.50	0.02	***
Grey percent (0–1, centred)	0.17	1.18	***	−0.01	−0.002
White percent (0–1, centred)^a	–	–	–	–	–	–
Block 4: Imminence	R² = 34.6%, ΔR² = 2.0%			R² = 21.5%, ΔR² = 0.01%
Central location (1/0)	0.41	1.51	***	−0.20	−0.11	*
Block 5: Motivational relevance	R² = 34.6%, ΔR² = 0.1%			R² = 21.6%, ΔR² = 0.1%
Motivational relevance present (1/0)	−0.21	0.81		−0.24	−0.12	***
Block 6: Task relevance	R² = 34.7%, ΔR² = 0.1%			R² = 21.7%, ΔR² = 0.1%
Task Relevance present (1/0)	−0.25	0.78	***	−0.36	−0.16	***
Block 7: Stability	R² = 34.8%, ΔR² = 0.1%			R² = 24.2%, ΔR² = 2.5%
Fleeting (= 1, Stable = 0)	−0.49	0.62	***	−0.48	−0.21	***
Block 8: Interaction effects	R² = 35.1%, ΔR² = 0.3%			R² = 25.2%, ΔR² = 1.0%
Imminence × Motivational Relevance × Fleeting	0.28	1.33	***	0.03	0.13	***
Imminence × Task Relevance × Fleeting	0.66	1.94	***	0.47	0.17	***

	Dependent variable
	Fixation			Fixation duration
Independent variable	b	OR	Sig	b	Β	Sig
Block 1: Fixed effects	R² = 0.7%, ΔR² = 0.7%			R² = 6.9%, ΔR² = 6.9%
Intercept	1.13	3.09	***	6.75		***
Block 2: Salience variables	R² = 32.2%, ΔR² = 31.5%			R² = 21.2%, ΔR² = 14.3%
Size (0–1, centred)	5.40	221.21	***	0.62	0.25	***
Brightness median (0–1, centred)	−0.01	0.99		−0.12	−0.03	***
Clutter	−0.36	0.70	***	0.01	0.01
Block 3: Colour variables	R² = 32.6%, ΔR² = 0.4%			R² = 21.5%, ΔR² = 0.4%
Red percent (0–1, centred)	0.76	2.14	**	−0.35	−0.01	**
Dark red percent (0–1, centred)	0.39	1.47	***	0.06	0.005
Orange percent (0–1, centred)	−0.61	0.54	***	0.02	0.002
Dark orange percent (0–1, centred)	0.51	1.67	***	0.10	0.02	***
Yellow percent (0–1, centred)	5.01	149.65	***	1.01	0.04	***
Dark yellow percent (0–1, centred)	0.03	1.04		0.27	0.01	**
Green percent (0–1, centred)	0.39	1.47		0.21	0.01	*
Blue percent (0–1, centred)	−0.08	0.92		0.03	0.001
Dark blue percent (0–1, centred)	−0.22	0.80	**	−0.24	−0.03	***
Purple percent (0–1, centred)	0.46	1.58		0.50	0.02	***
Grey percent (0–1, centred)	0.17	1.18	***	−0.01	−0.002
White percent (0–1, centred)^a	–	–	–	–	–	–
Block 4: Imminence	R² = 34.6%, ΔR² = 2.0%			R² = 21.5%, ΔR² = 0.01%
Central location (1/0)	0.41	1.51	***	−0.20	−0.11	*
Block 5: Motivational relevance	R² = 34.6%, ΔR² = 0.1%			R² = 21.6%, ΔR² = 0.1%
Motivational relevance present (1/0)	−0.21	0.81		−0.24	−0.12	***
Block 6: Task relevance	R² = 34.7%, ΔR² = 0.1%			R² = 21.7%, ΔR² = 0.1%
Task Relevance present (1/0)	−0.25	0.78	***	−0.36	−0.16	***
Block 7: Stability	R² = 34.8%, ΔR² = 0.1%			R² = 24.2%, ΔR² = 2.5%
Fleeting (= 1, Stable = 0)	−0.49	0.62	***	−0.48	−0.21	***
Block 8: Interaction effects	R² = 35.1%, ΔR² = 0.3%			R² = 25.2%, ΔR² = 1.0%
Imminence × Motivational Relevance × Fleeting	0.28	1.33	***	0.03	0.13	***
Imminence × Task Relevance × Fleeting	0.66	1.94	***	0.47	0.17	***

Notes:

Fixation (N = 90,506) was dichotomous (1/0) and Duration (sum of fixations ≥ 100 ms, N = 51,358) was normalised by a natural log transformation; b = regression coefficient, OR = odds ratio, Sig = significance and β = standardised beta; Nagelkerke R² reported for the logistic regression results (fixation); ^a This variable was used as the reference category; *p < 0.05, **p < 0.01 and ***p < 0.001

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