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.

From: Lack of strategic service provisioning by Pederson’s cleaner shrimp (Ancylomenes pedersoni) highlights independent evolution of cleaning behaviors between ocean basins

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
  1. 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).