The CPCAT as a novel tool to overcome the shortcomings of NOEC/LOEC statistics in ecotoxicology: a simulation study to evaluate the statistical power

Environmental Sciences Europe

Table 2 PROB of the CPCAT (increasing trend)

c	a	\(\mu _0=25\)	\(\mu _0=50\)	\(\mu _0=75\)	\(\mu _0=100\)	\(\mu _0=125\)	\(\mu _0=150\)
0.1	1.1	0	0	0	0.004	1	1
0.5	1.1	0.015	0.035	0.07	0.098	0.995	0.994
1	1.1	0.067	0.096	0.127	0.167	0.95	0.959
5	1.1	0.191	0.199	0.211	0.234	0.591	0.595
10	1.1	0.2	0.207	0.2	0.209	0.438	0.445
0.1	1.2	0.002	0.101	0.608	0.935	1	1
0.5	1.2	0.11	0.311	0.594	0.789	0.998	0.998
1	1.2	0.154	0.384	0.544	0.697	0.942	0.947
5	1.2	0.239	0.319	0.379	0.42	0.601	0.61
10	1.2	0.225	0.251	0.289	0.291	0.451	0.453
0.1	1.3	0.178	0.985	1	1	1	1
0.5	1.3	0.38	0.831	0.977	0.99	0.994	0.993
1	1.3	0.402	0.744	0.891	0.943	0.946	0.947
5	1.3	0.276	0.427	0.481	0.516	0.596	0.609
10	1.3	0.259	0.292	0.345	0.348	0.458	0.443
0.1	1.4	0.9	1	1	1	1	1
0.5	1.4	0.724	0.989	0.998	0.998	0.993	0.995
1	1.4	0.677	0.906	0.953	0.937	0.945	0.943
5	1.4	0.382	0.484	0.532	0.601	0.594	0.625
10	1.4	0.288	0.359	0.396	0.413	0.446	0.463

Parameter \(c>(<)1\) indicates generalized Poisson distribution with over-(under-)-dispersion (\(\sigma ^2=c\cdot \mu\)) or Poisson distribution (\(c=1\)). Parameter a indicates the value of the true LOEC via \(\mu _2=a\cdot \mu _0\). Parameter \(\mu _0\) denotes the mean reproduction of the control group