Table 2.

Results of full-factorial Generalized Estimating Equations (GEE) testing for main effects (trophic level, group size, reef site, and time of day) and interaction effects on cheating rate (cheats min^-1) during cleaning interactions between Pederson’s cleaner shrimp Ancylomenes pedersoni and client reef fish on coral reefs in the Gulf of Honduras.

Source	GEE1			GEE2			GEE3			GEE4
	χ 2	df	p	χ 2	df	p	χ 2	df	p	χ 2	df	p
Trophic level (TL)	2.75	1	0.10	0.54	1	0.46	2.39	1	0.12	0.01	1	0.93
Group Size (GS)	0.01	1	0.94	0.13	1	0.72	0.17	1	0.68	0.59	1	0.44
Reef Site (RS)	2.26	2	0.32	0.23	2	0.89	1.00	2	0.61	0.35	2	0.84
Time of Day (TOD)	0.15	2	0.93	0.02	2	0.99	0.54	2	0.76	0.15	2	0.93
TL*GS	1.92	1	0.17	6.46	1	0.01	2.79	1	0.10	7.92	1	0.01
TL*RS	6.97	2	0.03	2.91	2	0.23	9.43	2	0.01	3.61	2	0.16
TL*TOD	1.65	2	0.44	3.17	2	0.21	2.84	2	0.24	2.95	2	0.22
GS*RS	3.63	2	0.16	1.58	2	0.45	3.86	2	0.14	2.17	2	0.34
GS*TOD	2.55	2	0.29	12.4	2	0.00	5.61	2	0.06	9.95	2	0.01
RS*TOD	2.28	3	0.51	17.9	3	0.00	2.90	3	0.41	16.4	3	0.00
TL*GS*RS	5.23	2	0.07	3.22	2	0.20	4.51	2	0.11	2.75	2	0.25
TL*GS*TOD	0.74	2	0.69	0.89	2	0.64	0.14	2	0.94	1.30	2	0.52
TL*RS*TOD	3.84	3	0.28	4.67	3	0.20	4.61	3	0.20	7.82	3	0.05
GS*RS*TOD	3.48	3	0.32	7.37	3	0.06	12.4	3	0.01	8.38	3	0.04
TL*GS*RS*TOD	8.16	3	0.04	2.58	3	0.46	14.8	3	0.00	3.31	3	0.35

GEE1-4 represent analyses conducted on four datasets: GEE1) full dataset, GEE2) incidents of cheating that occurred in the last 5 seconds of a cleaning interaction removed, GEE3) cleaning interactions <5 seconds in total duration removed, and GEE4) cheating incidents that occurred in the last 5 seconds of a clean, and cleaning interactions <5 seconds in total duration removed removed (see Methods).