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 1 PROB of the CPCAT (decreasing trend)

c	a	\(\mu _0=25\)	\(\mu _0=50\)	\(\mu _0=75\)	\(\mu _0=100\)	\(\mu _0=125\)	\(\mu _0=150\)
0.1	0.9	0	0.001	0	0.006	0.017	0.049
0.5	0.9	0.012	0.038	0.082	0.128	0.168	0.257
1	0.9	0.059	0.098	0.169	0.173	0.27	0.329
5	0.9	0.163	0.184	0.241	0.22	0.266	0.271
10	0.9	0.201	0.215	0.203	0.222	0.237	0.253
0.1	0.8	0.009	0.337	0.866	0.998	1	1
0.5	0.8	0.157	0.474	0.733	0.905	0.966	0.988
1	0.8	0.221	0.475	0.654	0.807	0.871	0.912
5	0.8	0.253	0.321	0.391	0.425	0.439	0.492
10	0.8	0.206	0.258	0.291	0.282	0.323	0.346
0.1	0.7	0.565	1	1	1	1	1
0.5	0.7	0.597	0.962	0.997	0.993	0.998	0.997
1	0.7	0.546	0.873	0.938	0.947	0.959	0.959
5	0.7	0.368	0.474	0.553	0.594	0.597	0.622
10	0.7	0.257	0.357	0.394	0.39	0.409	0.427
0.1	0.6	0.999	1	1	1	1	1
0.5	0.6	0.945	0.994	0.993	0.997	0.991	0.995
1	0.6	0.846	0.949	0.942	0.945	0.943	0.943
5	0.6	0.479	0.565	0.578	0.628	0.618	0.609
10	0.6	0.334	0.407	0.425	0.46	0.457	0.478

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