FreeCalc sample size estimation						
						
						
Inputs						
Test sensitivity	0.975					
Test specificity	0.995					
Population size	1,00E+06					
Design prevalence	0.05					
Diseased elements	50000					
Analysis method	Simple binomial (large population)					
Target Type I error	0.05					
Target Type II error	0.05					
Population threshold for infinite probability formula	10000					
Maximum sample size	3200					
						
Results						
Required sample size:	116					
Cut-point number of reactors:	2					
Type I error:	0.049					
Type II error:	0.0209					
Herd-level sensitivity:	0.951					
Herd-level specificity:	0.9791					
Interpretation:	If a random sample of 116 units is taken from a population of 1e+06 and 2 or fewer reactors are found, the probability that the population is diseased at a prevalence of 0.05 is 0.049.					
Method:	Simple binomial (large population)					
						
Detailed Results						
1	1	0.0535	0.995	0	0.9465	0.005
2	100	0.908	0.9859	2	0.092	0.0141
3	200	0.9948	0.9813	3	0.0052	0.0187
4	101	0.9115	0.9855	2	0.0885	0.0145
5	102	0.9148	0.9851	2	0.0852	0.0149
6	103	0.9181	0.9847	2	0.0819	0.0153
7	104	0.9212	0.9843	2	0.0788	0.0157
8	105	0.9242	0.9839	2	0.0758	0.0161
9	106	0.9271	0.9835	2	0.0729	0.0165
10	107	0.9299	0.9831	2	0.0701	0.0169
11	108	0.9326	0.9827	2	0.0674	0.0173
12	109	0.9352	0.9823	2	0.0648	0.0177
13	110	0.9377	0.9819	2	0.0623	0.0181
14	111	0.9401	0.9814	2	0.0599	0.0186
15	112	0.9425	0.981	2	0.0575	0.019
16	113	0.9447	0.9805	2	0.0553	0.0195
17	114	0.9469	0.9801	2	0.0531	0.0199
18	115	0.949	0.9796	2	0.051	0.0204
19	116	0.951	0.9791	2	0.049	0.0209