FreeCalc sample size estimation						
Wed Feb 17 18:03:47 2016						
						
Inputs						
Test sensitivity	0.99					
Test specificity	0.99					
Population size	100					
Design prevalence	0.05					
Diseased elements	5					
Analysis method	Modified hypergeometric exact					
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:	77					
Cut-point number of reactors:	2					
Type I error:	0.0444					
Type II error:	0.0424					
Herd-level sensitivity:	0.9556					
Herd-level specificity:	0.9576					
Interpretation:	If a random sample of 77 units is taken from a population of 100 and 2 or fewer reactors are found, the probability that the population is diseased at a prevalence of 0.05 is 0.0444.					
Method:	Modified hypergeometric exact					
						
Detailed Results						
1	1	0.059	0.99	0	0.941	0.01
2	50	0.6277	0.9862	2	0.3723	0.0138
3	100	0.9996	0.9816	3	4,00E-04	0.0184
4	51	0.6456	0.9854	2	0.3544	0.0145999999999999
5	52	0.6633	0.9846	2	0.3367	0.0154
6	53	0.6806	0.9838	2	0.3194	0.0162
7	54	0.6975	0.983	2	0.3025	0.017
8	55	0.714	0.9822	2	0.286	0.0178
9	56	0.7301	0.9813	2	0.2699	0.0187
10	57	0.7457	0.9804	2	0.2543	0.0196
11	58	0.7609	0.9795	2	0.2391	0.0205
12	59	0.7756	0.9785	2	0.2244	0.0215
13	60	0.7899	0.9776	2	0.2101	0.0224
14	61	0.8037	0.9766	2	0.1963	0.0234
15	62	0.817	0.9756	2	0.183	0.0244
16	63	0.8297	0.9745	2	0.1703	0.0255
17	64	0.842	0.9735	2	0.158	0.0265
18	65	0.8538	0.9724	2	0.1462	0.0276
19	66	0.865	0.9713	2	0.135	0.0287
20	67	0.8758	0.9702	2	0.1242	0.0298
21	68	0.886	0.969	2	0.114	0.031
22	69	0.8957	0.9679	2	0.1043	0.0321
23	70	0.9049	0.9667	2	0.0951	0.0333
24	71	0.9136	0.9654	2	0.0864	0.0346
25	72	0.9218	0.9642	2	0.0782	0.0358000000000001
26	73	0.9295	0.9629	2	0.0705	0.0371
27	74	0.9368	0.9616	2	0.0632	0.0384
28	75	0.9435	0.9603	2	0.0565	0.0397
29	76	0.9498	0.959	2	0.0502	0.041
30	77	0.9556	0.9576	2	0.0444	0.0424