General discussions on Poisson distribution and comparing two counts are provided in the Poisson Distribution and Procedures Explained Page.

Three methods of calculating sample size for comparing two counts are available.

• The Poisson's Test comparing two counts was initially described by Przyborowski and Wilenski (see reference), and is known as the Conditional Test (the C Test). The test is based on the null hypothesis that the ratio of the two count rates (λ₂ / λ₁) is equal to 1.
• Krishnamoorthy and Thomson (see reference) proposed an improvement on the C Test, where the null hypothesis is that the difference between the two count rates (λ₂ - λ₁) is equal to 0. Althought this test is more complex, the advantages are that it is both more robust and more powerful, so the sample size required is smaller than that of the C Test.
• Whitehead (see reference), in his text book on unpaired sequential analysis, provided algorithms to determine sample sizes for non-sequential methods, and a method for comparing two counts was also described.

Sample size calculation for the C Test and the E Test are based on the Poisson distribution. Computation requires multiple nested loops of calculating the Binomial Coefficient, and the computation time increases exponentially as the sample size increases. Sample size of more than 100 takes a few seconds to compute, but sample size over 1000 may take up to 30 minutes to compute.

Whitehead's algorithm is based on a transformation, where the difference between the two count rates (λ₂ - λ₁) is assumed to be a mean of a Normally distributed variable. The calculation is therefore short, and the samle size calculated is smaller than that for both the C Test and the E Test. This makes the whitehead approach eadier to use, but the assumption of normal distribution becomes increadingly inappropriate as the sample size decreases.

Please Note : In StatTools, estimating sample size requirement for comparing two counts uses the one tail model. For a two tail model, do the same calculation using half the α value. For example, sample size for α=0.05 in a two tail model is the same as that for α=0.1 in the one tail model, everything else being the same.

The plot to the right shows the relationship between sample sizes required calculated from the 3 algorithms.

The x axis represents sample size calculated by Whitehead's algorithm, and the y axis the percentage difference between sample sizes calculated from the other two algorithms and that from Whitehead's algorithm.

If the sample size calculated by C or E Test is n_c/e and sample size calculated by the whitehead algorithm is n_w, the % Difference = (n_c/e - n_w) / n_w x 100.

It can be seen that sample size for the C Test (in blue) is slightly greater than sample size for the E Test (red), as the E Test is more powerful and so require a smaller sample size.

The sample size of bothe the C and E Tests are greater than that from Whitehead's algorithm, but the difference (in term of %) decreases as sample size increases.

The differences between the sample sizes from the 3 algorithm are therefore trivial when the sample size is more than 100, but becomes relevant under that size.

The table of sample size can therefore be consulted, and the sample size required can be derived from numbers in the table. If the sample size is over 100, it is probably usable. A more precise sample size should be calculated using the Javascript program, if the initial sample size is estimated to be less than 100.

Please note that computation may take a long time if the sample size is large. On average, sample size less than 100 takes about 30 seconds. Time increases exponentially so that sample size of 200 may take 120 seconds, and further increase may take even hours.

Please note that some browsers have time limits, and when that limit is reached it asks the user whether to continue or not. Although long programs can be run, it does require the user to attend and repeatedly tell the browser to continue. The limits are as follows.

• Internet Explorer - 5 million statements
• Firefox - 10 secs
• Safari - 5 secs
• Chrome - no time limit
• Opera - no time limit

Please note that the calculations are for one tail studies.

Calculate Sample Size Probability of Type I Error (α) Power (1-β) Count Rate Grp 1 (λ1) Count Rate Grp 2 (λ2) ratio (n1/n2)

Calculate Power Probability of Type I Error (α) Sample Size Group 1 Count Group 1 Sample Size Group 2 Count Group 2

This section provides a series of tables presenting commonly used sample sizes comparing two count rates. The tables are for Type I Error (α) of 0.05 for 1 tail, power of 0.8, and assuming that the two groups have similar sample sizes.

The calculations are from Whitehead, C Test, and E Test, as referenced.

Although the tables present only a limited range of λs, the sample size can be extrapolated from the tables, as, for the same ratio of the two λs, the sample size is proportionate to the λs, as shown in the following table

λ1	λ2	SSiz by Whitehead	SSiz for C Test	SSiz for E Test
1	2	17	20	19
0.1	0.2	172	197	186
0.01	0.02	1716	1964	1863
0.001	0.002	17158	19637	18631

It can be seen that, as the lambda value decreases by a tenth, the sample size required increases by ten fold. Sampe size values between cells in the tables can therefore be calculated by extrapolation between the cells.

Sample size for comparing two count rates (λ1 and λ2) with Poisson distribution.

• Probability of Type I Error (α, 1 tail) = 0.05
• Power (1-β)= 0.8
• Assuming equal sample size in the two groups (Ratio n2/n1=1)
• Sample size according to Whitehead's formula (WH), for C Test (C), and E Test (E)

λ1	λ2	WH	C	E
0.001	0.002	17158	19637	18631	:	λ1	λ2	WH	C	E
0.001	0.003	5123	6762	5863	:	0.002	0.003	30085	32669	30906	:	λ1	λ2	WH	C	E
0.001	0.004	2574	3701	3247	:	0.002	0.004	8579	9818	9315	:	0.003	0.004	42688	-	-
0.001	0.005	1591	2473	2192	:	0.002	0.005	4208	5063	4570	:	0.003	0.005	11847	12865	12171
0.001	0.006	1101	1904	1583	:	0.002	0.006	2561	3380	2931	:	0.003	0.006	5719	6545	6209
0.001	0.007	817	1510	1269	:	0.002	0.007	1751	2413	2105	:	0.003	0.007	3445	4144	3740
0.001	0.008	636	1250	1026	:	0.002	0.008	1287	1850	1622	:	0.003	0.008	2337	2948	2674
0.001	0.009	512	1066	857	:	0.002	0.009	994	1487	1311	:	0.003	0.009	1708	2254	1955
0.001	0.010	424	908	734	:	0.002	0.010	796	1238	1051	:	0.003	0.010	1313	1810	1579
0.001	0.011	359	810	641	:	0.002	0.011	655	1094	941	:	0.003	0.011	1047	1443	1259
0.001	0.012	308	731	551	:	0.002	0.012	550	951	791	:	0.003	0.012	858	1234	1082
0.001	0.013	269	669	512	:	0.002	0.013	471	841	704	:	0.003	0.013	719	1075	907
0.001	0.014	237	603	451	:	0.002	0.014	408	754	633	:	0.003	0.014	613	951	808
0.001	0.015	211	550	402	:	0.002	0.015	359	684	558	:	0.003	0.015	531	825	730
0.001	0.016	189	514	381	:	0.002	0.016	318	625	513	:	0.003	0.016	465	750	641
0.001	0.017	171	475	345	:	0.002	0.017	284	575	474	:	0.003	0.017	411	687	590
0.001	0.018	156	444	316	:	0.002	0.018	256	533	429	:	0.003	0.018	367	634	528
0.001	0.019	143	422	305	:	0.002	0.019	233	498	389	:	0.003	0.019	330	589	493
0.001	0.020	131	387	279	:	0.002	0.020	212	454	378	:	0.003	0.020	299	535	464
0.001	0.021	122	374	261	:	0.002	0.021	195	439	347	:	0.003	0.021	272	503	422
0.001	0.022	113	348	242	:	0.002	0.022	179	404	320	:	0.003	0.022	249	474	387
0.001	0.023	105	334	236	:	0.002	0.023	166	385	297	:	0.003	0.023	230	439	358
0.001	0.024	98	318	221	:	0.002	0.024	154	365	276	:	0.003	0.024	212	416	341
0.001	0.025	92	304	208	:	0.002	0.025	144	343	266	:	0.003	0.025	197	397	328
0.001	0.026	87	288	196	:	0.002	0.026	134	333	255	:	0.003	0.026	183	370	305
0.001	0.027	82	280	194	:	0.002	0.027	126	314	240	:	0.003	0.027	171	355	286
0.001	0.028	77	264	183	:	0.002	0.028	119	296	226	:	0.003	0.028	160	342	268
0.001	0.029	73	258	174	:	0.002	0.029	112	292	214	:	0.003	0.029	150	321	258
0.001	0.030	69	245	171	:	0.002	0.030	106	276	202	:	0.003	0.030	142	304	246
0.001	0.031	66	241	163	:	0.002	0.031	100	266	191	:	0.003	0.031	134	295	239
0.001	0.032	63	230	156	:	0.002	0.032	95	258	191	:	0.003	0.032	126	284	225
0.001	0.033	60	226	150	:	0.002	0.033	90	245	181	:	0.003	0.033	120	271	214
0.001	0.034	57	216	148	:	0.002	0.034	86	235	173	:	0.003	0.034	114	263	203
0.001	0.035	55	208	142	:	0.002	0.035	82	232	165	:	0.003	0.035	108	256	193
0.001	0.036	52	203	136	:	0.002	0.036	78	222	158	:	0.003	0.036	103	244	184
0.001	0.037	50	200	130	:	0.002	0.037	75	213	151	:	0.003	0.037	98	233	181
0.001	0.038	48	192	126	:	0.002	0.038	72	208	146	:	0.003	0.038	94	224	174
0.001	0.039	46	185	124	:	0.002	0.039	69	203	146	:	0.003	0.039	90	223	171
0.001	0.040	45	181	121	:	0.002	0.040	66	195	140	:	0.003	0.040	86	214	163
0.001	0.041	43	177	117	:	0.002	0.041	63	193	135	:	0.003	0.041	82	204	156
0.001	0.042	41	174	116	:	0.002	0.042	61	186	130	:	0.003	0.042	79	201	151
0.001	0.043	40	170	113	:	0.002	0.043	59	181	126	:	0.003	0.043	76	197	145
0.001	0.044	39	165	110	:	0.002	0.044	57	175	122	:	0.003	0.044	73	190	139
0.001	0.045	37	158	105	:	0.002	0.045	55	174	118	:	0.003	0.045	71	184	135
0.001	0.046	36	157	103	:	0.002	0.046	53	168	118	:	0.003	0.046	68	178	130
0.001	0.047	35	153	102	:	0.002	0.047	51	163	114	:	0.003	0.047	66	175	126
0.001	0.048	34	149	100	:	0.002	0.048	49	159	111	:	0.003	0.048	63	171	126
0.001	0.049	33	147	97	:	0.002	0.049	48	154	108	:	0.003	0.049	61	166	122
0.001	0.050	32	143	94	:	0.002	0.050	46	152	104	:	0.003	0.050	59	160	118

Sample size for comparing two count rates (λ1 and λ2) with Poisson distribution.

• Probability of Type I Error (α, 1 tail) = 0.05
• Power (1-β)= 0.8
• Assuming equal sample size in the two groups (Ratio n2/n1=1)
• Sample size according to Whitehead's formula (WH), for C Test (C), and E Test (E)

λ1	λ2	WH	C	E
0.004	0.005	55185	-	-	:	λ1	λ2	WH	C	E	:
0.004	0.006	15043	16334	15453	:	0.005	0.006	67633	-	-	:	λ1	λ2	WH	C	E
0.004	0.007	7179	8215	7375	:	0.005	0.007	18204	-	-	:	0.006	0.007	80056	-	-
0.004	0.008	4290	4909	4657	:	0.005	0.008	8612	9352	8847	:	0.006	0.008	21344	-	-
0.004	0.009	2893	3480	3142	:	0.005	0.009	5113	5850	5252	:	0.006	0.009	10029	10890	10302
0.004	0.010	2104	2532	2285	:	0.005	0.010	3432	3928	3726	:	0.006	0.010	5924	6433	6086
0.004	0.011	1611	2032	1842	:	0.005	0.011	2487	2991	2700	:	0.006	0.011	3960	4532	4069
0.004	0.012	1281	1690	1466	:	0.005	0.012	1898	2284	2061	:	0.006	0.012	2860	3273	3105
0.004	0.013	1047	1382	1258	:	0.005	0.013	1505	1898	1634	:	0.006	0.013	2177	2618	2364
0.004	0.014	876	1207	1053	:	0.005	0.014	1228	1550	1405	:	0.006	0.014	1723	2073	1871
0.004	0.015	745	1070	896	:	0.005	0.015	1025	1352	1173	:	0.006	0.015	1403	1688	1523
0.004	0.016	644	926	811	:	0.005	0.016	871	1150	997	:	0.006	0.016	1169	1474	1337
0.004	0.017	563	841	710	:	0.005	0.017	751	1035	903	:	0.006	0.017	992	1252	1135
0.004	0.018	497	744	655	:	0.005	0.018	656	905	789	:	0.006	0.018	854	1127	978
0.004	0.019	443	687	585	:	0.005	0.019	578	830	695	:	0.006	0.019	745	983	852
0.004	0.020	398	619	526	:	0.005	0.020	515	740	648	:	0.006	0.020	656	904	789
0.004	0.021	360	581	496	:	0.005	0.021	462	665	583	:	0.006	0.021	584	804	702
0.004	0.022	328	548	471	:	0.005	0.022	418	625	527	:	0.006	0.022	523	721	629
0.004	0.023	300	502	431	:	0.005	0.023	380	590	501	:	0.006	0.023	473	679	569
0.004	0.024	275	474	395	:	0.005	0.024	347	539	458	:	0.006	0.024	429	617	540
0.004	0.025	254	454	379	:	0.005	0.025	318	495	438	:	0.006	0.025	392	564	494
0.004	0.026	236	421	353	:	0.005	0.026	294	474	404	:	0.006	0.026	360	538	454
0.004	0.027	219	391	339	:	0.005	0.027	272	454	376	:	0.006	0.027	332	497	438
0.004	0.028	204	377	316	:	0.005	0.028	253	422	363	:	0.006	0.028	307	476	404
0.004	0.029	191	363	297	:	0.005	0.029	236	395	339	:	0.006	0.029	285	443	376
0.004	0.030	179	341	278	:	0.005	0.030	220	380	317	:	0.006	0.030	265	426	364
0.004	0.031	169	322	271	:	0.005	0.031	207	358	298	:	0.006	0.031	248	399	341
0.004	0.032	159	312	256	:	0.005	0.032	194	346	290	:	0.006	0.032	232	374	320
0.004	0.033	150	302	250	:	0.005	0.033	183	327	273	:	0.006	0.033	218	364	313
0.004	0.034	142	287	237	:	0.005	0.034	173	318	268	:	0.006	0.034	206	345	296
0.004	0.035	135	273	225	:	0.005	0.035	164	302	254	:	0.006	0.035	194	324	279
0.004	0.036	128	266	215	:	0.005	0.036	155	294	241	:	0.006	0.036	184	317	265
0.004	0.037	122	260	204	:	0.005	0.037	147	279	228	:	0.006	0.037	174	301	251
0.004	0.038	116	248	199	:	0.005	0.038	140	267	218	:	0.006	0.038	165	293	246
0.004	0.039	111	238	192	:	0.005	0.039	133	259	214	:	0.006	0.039	157	280	235
0.004	0.040	106	232	188	:	0.005	0.040	127	249	211	:	0.006	0.040	150	268	232
0.004	0.041	102	224	182	:	0.005	0.041	122	246	203	:	0.006	0.041	143	263	221
0.004	0.042	97	218	172	:	0.005	0.042	116	234	193	:	0.006	0.042	136	252	211
0.004	0.043	94	212	168	:	0.005	0.043	112	227	187	:	0.006	0.043	130	247	202
0.004	0.044	90	203	160	:	0.005	0.044	107	216	179	:	0.006	0.044	125	237	194
0.004	0.045	86	198	154	:	0.005	0.045	103	213	172	:	0.006	0.045	120	229	187
0.004	0.046	83	196	148	:	0.005	0.046	99	210	165	:	0.006	0.046	115	219	184
0.004	0.047	80	190	143	:	0.005	0.047	95	202	159	:	0.006	0.047	110	215	177
0.004	0.048	77	183	138	:	0.005	0.048	91	194	157	:	0.006	0.048	106	208	171
0.004	0.049	75	178	134	:	0.005	0.049	88	189	152	:	0.006	0.049	102	206	170
0.004	0.050	72	172	133	:	0.005	0.050	85	186	151	:	0.006	0.050	98	197	163

Sample size for comparing two count rates (λ1 and λ2) with Poisson distribution.

• Probability of Type I Error (α, 1 tail) = 0.05
• Power (1-β)= 0.8
• Assuming equal sample size in the two groups (Ratio n2/n1=1)
• Sample size according to Whitehead's formula (WH), for C Test (C), and E Test (E)

λ1	λ2	WH	C	E
0.007	0.008	92464	-	-	:	λ1	λ2	WH	C	E
0.007	0.009	24473	-	-	:	0.008	0.009	104861	-	-	:	λ1	λ2	WH	C	E
0.007	0.010	11435	12417	11747	:	0.008	0.010	27593	-	-	:	0.009	0.010	117252	-	-
0.007	0.011	6725	7303	6909	:	0.008	0.011	12835	-	-	:	0.009	0.011	30707	-	-
0.007	0.012	4481	5127	4603	:	0.008	0.012	7522	8167	7726	:	0.009	0.012	14230	-	-
0.007	0.013	3227	3693	3315	:	0.008	0.013	4996	5425	5132	:	0.009	0.013	8313	9026	8539
0.007	0.014	2451	2804	2660	:	0.008	0.014	3590	4107	3688	:	0.009	0.014	5508	5981	5658
0.007	0.015	1935	2327	2101	:	0.008	0.015	2721	3114	2954	:	0.009	0.015	3949	4288	4057
0.007	0.016	1574	1894	1709	:	0.008	0.016	2145	2455	2328	:	0.009	0.016	2988	3419	3070
0.007	0.017	1309	1575	1421	:	0.008	0.017	1741	2094	1890	:	0.009	0.017	2352	2692	2485
0.007	0.018	1109	1398	1204	:	0.008	0.018	1447	1740	1571	:	0.009	0.018	1907	2182	2069
0.007	0.019	954	1204	1091	:	0.008	0.019	1224	1473	1329	:	0.009	0.019	1582	1903	1717
0.007	0.020	831	1048	950	:	0.008	0.020	1052	1266	1143	:	0.009	0.020	1338	1609	1453
0.007	0.021	732	966	838	:	0.008	0.021	916	1154	1047	:	0.009	0.021	1148	1382	1247
0.007	0.022	651	859	745	:	0.008	0.022	806	1017	921	:	0.009	0.022	999	1202	1085
0.007	0.023	583	769	700	:	0.008	0.023	716	945	819	:	0.009	0.023	878	1107	954
0.007	0.024	526	725	632	:	0.008	0.024	641	845	733	:	0.009	0.024	779	981	890
0.007	0.025	477	658	573	:	0.008	0.025	577	762	660	:	0.009	0.025	697	879	796
0.007	0.026	435	624	523	:	0.008	0.026	524	692	600	:	0.009	0.026	628	828	718
0.007	0.027	399	573	480	:	0.008	0.027	478	659	575	:	0.009	0.027	569	750	650
0.007	0.028	368	530	463	:	0.008	0.028	438	603	526	:	0.009	0.028	519	685	593
0.007	0.029	340	489	428	:	0.008	0.029	403	555	484	:	0.009	0.029	476	629	545
0.007	0.030	316	472	399	:	0.008	0.030	373	535	448	:	0.009	0.030	438	603	526
0.007	0.031	294	440	387	:	0.008	0.031	346	497	417	:	0.009	0.031	404	556	485
0.007	0.032	275	426	361	:	0.008	0.032	322	463	405	:	0.009	0.032	375	517	450
0.007	0.033	257	399	339	:	0.008	0.033	301	433	378	:	0.009	0.033	349	481	420
0.007	0.034	242	376	319	:	0.008	0.034	281	419	354	:	0.009	0.034	326	468	392
0.007	0.035	228	354	301	:	0.008	0.035	264	395	333	:	0.009	0.035	305	438	367
0.007	0.036	215	345	295	:	0.008	0.036	249	372	327	:	0.009	0.036	286	412	360
0.007	0.037	203	327	280	:	0.008	0.037	235	364	309	:	0.009	0.037	269	387	338
0.007	0.038	192	321	265	:	0.008	0.038	222	345	294	:	0.009	0.038	254	379	321
0.007	0.039	182	304	261	:	0.008	0.039	210	326	277	:	0.009	0.039	240	359	303
0.007	0.040	173	289	248	:	0.008	0.040	199	319	273	:	0.009	0.040	227	339	298
0.007	0.041	165	283	237	:	0.008	0.041	189	304	259	:	0.009	0.041	215	333	282
0.007	0.042	157	271	226	:	0.008	0.042	180	290	248	:	0.009	0.042	205	318	270
0.007	0.043	150	259	223	:	0.008	0.043	172	278	237	:	0.009	0.043	195	302	257
0.007	0.044	144	257	215	:	0.008	0.044	164	273	235	:	0.009	0.044	186	289	246
0.007	0.045	138	246	206	:	0.008	0.045	157	262	225	:	0.009	0.045	177	284	243
0.007	0.046	132	236	197	:	0.008	0.046	150	251	215	:	0.009	0.046	169	271	232
0.007	0.047	127	227	196	:	0.008	0.047	144	241	207	:	0.009	0.047	162	261	223
0.007	0.048	122	224	189	:	0.008	0.048	138	238	199	:	0.009	0.048	155	250	213
0.007	0.049	117	216	181	:	0.008	0.049	132	228	196	:	0.009	0.049	149	248	205
0.007	0.050	112	213	175	:	0.008	0.050	127	226	189	:	0.009	0.050	143	238	205

Sample size for comparing two count rates (λ1 and λ2) with Poisson distribution.

• Probability of Type I Error (α, 1 tail) = 0.05
• Power (1-β)= 0.8
• Assuming equal sample size in the two groups (Ratio n2/n1=1)
• Sample size according to Whitehead's formula (WH), for C Test (C), and E Test (E)

λ1	λ2	WH	C	E
0.010	0.011	129638	-	-	:	λ1	λ2	WH	C	E
0.010	0.012	33817	-	-	:	0.011	0.012	142020	-	-	:	λ1	λ2	WH	C	E
0.010	0.013	15621	-	-	:	0.011	0.013	36924	-	-	:	0.012	0.013	154400	-	-
0.010	0.014	9102	-	-	:	0.011	0.014	17009	-	-	:	0.012	0.014	40028	-	-
0.010	0.015	6017	6533	6180	:	0.011	0.015	9888	-	-	:	0.012	0.015	18395	-	-
0.010	0.016	4306	4676	4424	:	0.011	0.016	6524	7084	6702	:	0.012	0.016	10672	-	-
0.010	0.017	3253	3721	3341	:	0.011	0.017	4661	5061	4787	:	0.012	0.017	7029	7631	7219
0.010	0.018	2557	2925	2626	:	0.011	0.018	3516	3819	3613	:	0.012	0.018	5014	5444	5150
0.010	0.019	2070	2369	2247	:	0.011	0.019	2760	3158	2835	:	0.012	0.019	3778	4102	3881
0.010	0.020	1716	1964	1863	:	0.011	0.020	2232	2554	2293	:	0.012	0.020	2962	3217	3043
0.010	0.021	1449	1742	1572	:	0.011	0.021	1849	2115	2006	:	0.012	0.021	2393	2737	2458
0.010	0.022	1243	1494	1349	:	0.011	0.022	1560	1785	1693	:	0.012	0.022	1980	2266	2035
0.010	0.023	1080	1300	1173	:	0.011	0.023	1337	1607	1450	:	0.012	0.023	1670	1911	1812
0.010	0.024	949	1141	1030	:	0.011	0.024	1161	1396	1261	:	0.012	0.024	1430	1637	1552
0.010	0.025	842	1013	914	:	0.011	0.025	1019	1225	1106	:	0.012	0.025	1241	1492	1346
0.010	0.026	753	949	818	:	0.011	0.026	904	1088	982	:	0.012	0.026	1089	1309	1182
0.010	0.027	678	855	775	:	0.011	0.027	807	971	876	:	0.012	0.027	965	1160	1048
0.010	0.028	614	775	702	:	0.011	0.028	727	915	789	:	0.012	0.028	861	1036	935
0.010	0.029	560	739	640	:	0.011	0.029	658	829	752	:	0.012	0.029	775	932	841
0.010	0.030	512	676	587	:	0.011	0.030	599	755	684	:	0.012	0.030	702	845	763
0.010	0.031	471	621	538	:	0.011	0.031	549	692	627	:	0.012	0.031	639	805	694
0.010	0.032	435	574	497	:	0.011	0.032	505	665	576	:	0.012	0.032	584	736	667
0.010	0.033	404	533	485	:	0.011	0.033	466	614	533	:	0.012	0.033	537	677	613
0.010	0.034	376	518	452	:	0.011	0.034	432	571	494	:	0.012	0.034	496	626	567
0.010	0.035	350	482	421	:	0.011	0.035	402	531	460	:	0.012	0.035	459	605	525
0.010	0.036	328	452	394	:	0.011	0.036	375	495	450	:	0.012	0.036	427	563	489
0.010	0.037	308	425	371	:	0.011	0.037	350	482	421	:	0.012	0.037	398	526	455
0.010	0.038	289	415	348	:	0.011	0.038	329	452	395	:	0.012	0.038	373	492	426
0.010	0.039	273	392	329	:	0.011	0.039	309	425	370	:	0.012	0.039	349	461	419
0.010	0.040	258	371	324	:	0.011	0.040	291	401	350	:	0.012	0.040	328	451	394
0.010	0.041	244	351	307	:	0.011	0.041	275	394	330	:	0.012	0.041	309	424	370
0.010	0.042	231	344	291	:	0.011	0.042	260	373	313	:	0.012	0.042	292	402	350
0.010	0.043	220	328	278	:	0.011	0.043	247	354	297	:	0.012	0.043	276	380	331
0.010	0.044	209	313	264	:	0.011	0.044	234	337	294	:	0.012	0.044	262	361	315
0.010	0.045	199	297	261	:	0.011	0.045	223	321	280	:	0.012	0.045	249	357	299
0.010	0.046	190	295	250	:	0.011	0.046	212	305	267	:	0.012	0.046	236	339	284
0.010	0.047	181	280	238	:	0.011	0.047	202	301	255	:	0.012	0.047	225	323	271
0.010	0.048	174	270	230	:	0.011	0.048	193	289	243	:	0.012	0.048	215	309	269
0.010	0.049	166	258	219	:	0.011	0.049	185	276	243	:	0.012	0.049	205	295	258
0.010	0.050	159	255	218	:	0.011	0.050	177	274	233	:	0.012	0.050	196	282	247