Reliability of environmental sampling culture results using the negative binomial intraclass correlation coefficient

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Table 1 Parameters of a simulation to compare the true and estimated negative binomial Intraclass Correlation Coefficient (ICC) using an example of culture results for a specific bacterium in pen floor samples (variance 0.5) collected over several days apart and simultaneously by different veterinarians and across different dairies

Scenario	r	β	Variance				E(Y)	True ICC
			Dairy	Pen	Day	Veterinarian
1	1	0	0.5	0.5	0.2	0.1	1.92	0.3382
2	1	0	1	0.5	0.2	0.1	2.46	0.3888
3	1	2	0.5	0.5	0.2	0.1	14.15	0.362
4	1	2	1	0.5	0.2	0.1	18.17	0.4011
5	2	0	0.5	0.5	0.2	0.1	1.92	0.4616
6	2	0	1	0.5	0.2	0.1	2.46	0.5275
7	2	2	0.5	0.5	0.2	0.1	14.15	0.5072
8	2	2	1	0.5	0.2	0.1	18.17	0.5503
9	1	0	0.5	0.5	0.2	0.5	2.34	0.2236
10	1	0	1	0.5	0.2	0.5	3	0.2574
11	1	2	0.5	0.5	0.2	0.5	17.29	0.2319
12	1	2	1	0.5	0.2	0.5	22.2	0.2617
13	2	0	0.5	0.5	0.2	0.5	2.34	0.3037
14	2	0	1	0.5	0.2	0.5	3	0.3476
15	2	2	0.5	0.5	0.2	0.5	17.29	0.3192
16	2	2	1	0.5	0.2	0.5	22.2	0.3556