. Author manuscript; available in PMC: 2009 Sep 2.

Published in final edited form as: Vision Res. 2007 May 17;47(14):1907–1923. doi: 10.1016/j.visres.2007.03.018

Table A2.

Results of fitting the weighted CoG model to the data for the no-mask condition (experiment 2b).

Leftward									Rightward
	Model	α	Slope	Int.	SD	R²	L	p		Model	α	Slope	Int	SD	R²	L	p
SDK									SDK
Short	W	0.63	0.90	−58	20	0.50	1310.5		Short	W	0.63	1.02	−12	22	0.52	1069.7
	F	1.00	0.48	−259	22	0.36	1347.7	<.0001^*		F	1.00	0.55	217	25	0.38	1100.1	<.0001^*
	F	0.5	0.923	−48.5	21	0.45	1323.507	<.0001^*		F	0.5	1.056	−29	23	0.47	1082.064	<.0001^*
Long	W	0.82	1.09	40	22	0.66	1024.6		Long	W	0.79	1.09	−46	23	0.64	1296.7
	F	1.00	0.85	−79	23	0.64	1033.7	<.0001^*		F	1.00	0.79	100	24	0.60	1311.6	<.0001^*
	F	0.5	1	76.6	28.5	0.42	1087.537	<.0001^*		F	0.5	1	−83	28.8	0.41	1366.403	<.0001^*
ES									ES
Short	W	0.66	0.96	15	24	0.44	696.5		Short	W	0.72	0.90	36	28	0.34	634.8
	F	1.00	0.54	−186	27	0.31	711.6	<.0001^*		F	1.00	0.56	203	29	0.28	640.6	<.001^*
	F	0.5	0.921	−7.38	26	0.36	705.816	<.0001^*		F	0.5	0.846	60.1	30	0.24	644.079	<.0001^*
Long	W	0.76	1.41	208	30	0.54	400.9		Long	W	0.93	0.92	32	31	0.42	490.3
	F	1.00	0.98	5	32	0.48	406.2	<.005^*		F	1.00	0.84	72	31	0.41	490.5	0.5
	F	0.5	1.328	172	35.8	0.36	414.823	<.0001^*		F	0.5	0.817	81	37.4	0.15	509.043	<.0001^*

Model W is the model where α was free to vary.

Model F is a model where the value of α was fixed at either .5 or 1.0.

Slope and Int are the values of the slope and intercept of the given model (m and b in eq. A1).

SD is the root mean square error (RMSE) about the best fit line given by the model.

L the negative log of the maximum likelihood of the given model (eq. A2).

p values were obtained from testing the fit of Model W relative to the fits of two different versions of model F where α was fixed to be either .5 or 1.0 (df=1, see equation A4).

indicates Model W is a significantly better fit than Model F.