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Table 3 Model selection table for models relating competitive ability and male morphology

From: Competitive males have higher quality sperm in a monogamous social bee

Selection episode

N.obs

Response

Random effect

Starting model

Fixed effect removed

Degrees of freedom

χ2

P-value

Colony -Aggregation

110

Probability of reaching an aggregation

colony and malea

male size + eye

male size

1

0.65

0.42

asymmetry

eye asymmetry

1

0.05

0.82

male size

male size

1

0.67

0.41

asymmetry

asymmetry

1

0.07

0.79

Persistence time in the aggregations

65

Number of days at the aggregation

aggregation

male size + eye

male size

1

4.56

0.03

asymmetry

eye asymmetry

1

0.76

0.38

male size

male size

1

5.17

0.02

eye asymmetry

eye asymmetry

1

1.38

0.24

  1. The p-values and degrees of freedom refer to Likelihood Ratio Tests (using a χ2 test statistic), in which the full model was compared to a reduced model without each of the predictor variables. Parameters estimates of best models are presented in Table 4
  2. aObservation level random effect to account for overdispersion