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Table 1 Models used to average posteriors by multiplication with the model weight

From: American foulbrood in a honeybee colony: spore-symptom relationship and feedbacks between disease and colony development

Response

Model

Explanatory

pWAIC

WAIC

SE

weight

Symptoms

M1

Spores, Time, Brood

Spores × Time

Spores × Brood

Time × Brood

Spores × Time × Brood

62.6

481.6

34.12

0.51

M2

Spores, Time, Brood

Spores × Brood

62.4

483.3

34.22

0.23

M3

Spores, Time, Brood

Spores × Brood, Time × Brood

63.1

483.8

34.18

0.18

M4

Spores, Time, Brood

Spores × Time, Spores × Brood Time × Brood

63.3

485.4

34.42

0.08

Spores

M5

Symptoms, Time, Bees

Symptoms × Time

118.4

2330.6

59.81

0.50

M6

Symptoms, Time, Bees

Symptoms × Time Symptoms × Bees, Time × Bees Symptoms × Time × Bees

118.7

2332.4

59.23

0.20

M7

Symptoms, Time, Bees

Time × Bees

118.6

2332.7

59.56

0.18

M8

Symptoms, Time, Bees

Symptoms × Bees, Time × Bees

119.3

2333.4

59.51

0.12

Bees

M9

Spores, Time, Brood

Spores × Time, Spores × Brood, Time × Brood

Spores × Time × Brood

78.2

1453.5

30.69

0.54

M10

Spores, Time, Brood

Spores × Time, Time × Brood

81.0

1454.6

28.60

0.30

M11

Spores, Time, Brood

Spores × Brood

80.3

1457.2

29.16

0.08

M12

Spores, Time, Brood

Spores × Time, Spores × Brood

78.4

1457.4

30.95

0.08

Brood

M13

Symptoms, Time, Bees

Symptoms × Bees

141.6

1950.5

15.27

0.997

M14

Symptoms, Time, Bees

Symptoms × Time

144.8

1962.8

12.60

0.002

M15

Symptoms, Time, Bees

Symptoms × Time, Symptoms × Bees

146.2

1965.3

12.34

0.0006

M16

Symptoms, Time, Bees

Symptoms × Time, Time × Bees

146.6

1966.0

13.00

0.0004

  1. Shown are effective Number of Parameters (pWAIC), Widely Applicable Information Criterion (WAIC), standard error of WAIC estimate (SE), and Akaike weight based on WAIC (weight). Remaining models (with different combinations of interactions; not shown) received lower weights and were not used for model averaging