CompaRNA - on-line benchmarks of RNA structure prediction methods

Laboratory of Structural Bioinformatics @ Adam Mickiewicz University in Poznan

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Overview

Metric	CentroidAlifold(20)		MaxExpect
MCC	0.726	>	0.415
Average MCC ± 95% Confidence Intervals	0.718 ± 0.036	>	0.416 ± 0.027
Sensitivity	0.614	>	0.406
Positive Predictive Value	0.860	>	0.424
Total TP	22679	>	15020
Total TN	104344087	>	104335019
Total FP	5560	<	22934
Total FP CONTRA	629	<	3099
Total FP INCONS	3071	<	17328
Total FP COMP	1860	<	2507
Total FN	14285	<	21944
P-value	3.56938820447e-08

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Performance plots

Comparison of performance of CentroidAlifold(20) and MaxExpect. Positive Predictive Value (PPV) is plotted against sensitivity. Each dot represents a single test of each method. See tables below for raw data (individual counts for CentroidAlifold(20) and MaxExpect).
Average Matthews Correlation Coefficients (MCC) with 95% confidence intervals (CIs) were plotted for different RNA families, for which at least 3 members were present in the benchmarking dataset. 'n' denotes the number of MCCs used to calculate the average and CI. See tables below for raw data (individual counts for CentroidAlifold(20) and MaxExpect).
Comparison of average Matthews Correlation Coefficients (MCCs) for CentroidAlifold(20) and MaxExpect. The whiskers correspond to 95% confidence intervals (CIs). 'n' denotes the number of MCCs used to calculate average MCCs and CIs. See tables below for raw data (individual counts for CentroidAlifold(20) and MaxExpect).

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Performance of CentroidAlifold(20) - scored higher in this pairwise comparison

1. Total counts & total scores for CentroidAlifold(20)

Total Base Pair Counts
Total TP	22679
Total TN	104344087
Total FP	5560
Total FP CONTRA	629
Total FP INCONS	3071
Total FP COMP	1860
Total FN	14285

Total Scores
MCC	0.726
Average MCC ± 95% Confidence Intervals	0.718 ± 0.036
Sensitivity	0.614
Positive Predictive Value	0.860
Nr of predictions	77

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2. Individual counts for CentroidAlifold(20) [ download as .csv ]

RNA Chain	Rfam family	MCC	SENS	PPV	TP	TN	FP	FP CONTRA	FP INCONS	FP COMP	FN
CRW_00024	SSU_rRNA_archaea links to Rfam database...	0.91	0.86	0.95	394	1085188	51	6	13	32	64
CRW_00034	SSU_rRNA_bacteria links to Rfam database...	0.83	0.77	0.90	365	1141911	54	9	31	14	109
CRW_00048	SSU_rRNA_bacteria links to Rfam database...	0.86	0.80	0.93	374	1170812	45	10	19	16	96
CRW_00054	SSU_rRNA_bacteria links to Rfam database...	0.86	0.80	0.93	364	1107423	43	10	19	14	92
CRW_00059	SSU_rRNA_bacteria links to Rfam database...	0.85	0.78	0.93	368	1172351	42	9	18	15	105
CRW_00061	SSU_rRNA_bacteria links to Rfam database...	0.86	0.80	0.92	380	1181542	47	10	21	16	96
CRW_00068	SSU_rRNA_bacteria links to Rfam database...	0.85	0.80	0.91	365	1108906	48	11	23	14	92
CRW_00096	SSU_rRNA_bacteria links to Rfam database...	0.86	0.78	0.95	363	1178497	43	4	16	23	102
CRW_00140	SSU_rRNA_bacteria links to Rfam database...	0.86	0.80	0.92	372	1135875	46	11	20	15	91
CRW_00141	SSU_rRNA_bacteria links to Rfam database...	0.85	0.78	0.93	371	1201625	47	10	19	18	105
CRW_00150	SSU_rRNA_bacteria links to Rfam database...	0.86	0.80	0.92	372	1152515	48	10	24	14	94
CRW_00152	SSU_rRNA_bacteria links to Rfam database...	0.84	0.77	0.91	364	1180015	52	13	24	15	107
CRW_00166	SSU_rRNA_bacteria links to Rfam database...	0.86	0.78	0.94	364	1190809	45	4	19	22	104
CRW_00173	SSU_rRNA_bacteria links to Rfam database...	0.80	0.75	0.86	332	1082272	67	11	41	15	113
CRW_00177	SSU_rRNA_bacteria links to Rfam database...	0.83	0.75	0.92	356	1178493	48	7	24	17	117
CRW_00196	SSU_rRNA_bacteria links to Rfam database...	0.86	0.79	0.94	377	1207832	45	8	18	19	98
CRW_00230	SSU_rRNA_bacteria links to Rfam database...	0.86	0.79	0.94	378	1198524	39	8	16	15	100
CRW_00245	SSU_rRNA_bacteria links to Rfam database...	0.87	0.81	0.93	367	1105932	46	9	20	17	86
CRW_00248	SSU_rRNA_bacteria links to Rfam database...	0.85	0.77	0.92	375	1218735	46	11	20	15	109
CRW_00250	SSU_rRNA_bacteria links to Rfam database...	0.84	0.77	0.92	370	1198524	46	11	21	14	108
CRW_00256	SSU_rRNA_bacteria links to Rfam database...	0.84	0.77	0.91	360	1192345	51	10	25	16	108
CRW_00270	SSU_rRNA_bacteria links to Rfam database...	0.86	0.80	0.92	362	1111893	46	11	20	15	93
CRW_00271	SSU_rRNA_bacteria links to Rfam database...	0.84	0.77	0.91	355	1122363	48	8	25	15	107
CRW_00273	SSU_rRNA_bacteria links to Rfam database...	0.86	0.79	0.92	354	1085218	46	8	21	17	92
CRW_00275	SSU_rRNA_bacteria links to Rfam database...	0.87	0.81	0.93	371	1114870	46	9	21	16	86
CRW_00277	SSU_rRNA_bacteria links to Rfam database...	0.85	0.78	0.91	354	1110408	50	12	21	17	99
CRW_00278	SSU_rRNA_bacteria links to Rfam database...	0.84	0.78	0.91	351	1129869	54	7	29	18	99
CRW_00279	SSU_rRNA_bacteria links to Rfam database...	0.84	0.77	0.92	357	1180030	50	8	21	21	107
CRW_00280	SSU_rRNA_bacteria links to Rfam database...	0.84	0.79	0.89	357	1117860	63	9	34	20	96
CRW_00281	SSU_rRNA_bacteria links to Rfam database...	0.84	0.77	0.92	357	1144951	49	9	24	16	107
CRW_00284	SSU_rRNA_bacteria links to Rfam database...	0.84	0.77	0.91	350	1131377	50	7	26	17	106
CRW_00285	SSU_rRNA_bacteria links to Rfam database...	0.83	0.77	0.90	353	1117869	56	11	27	18	105
CRW_00289	SSU_rRNA_bacteria links to Rfam database...	0.82	0.75	0.91	356	1189260	53	9	28	16	120
CRW_00298	SSU_rRNA_eukarya links to Rfam database...	0.52	0.37	0.72	183	1620647	90	6	64	20	311
CRW_00301	SSU_rRNA_eukarya links to Rfam database...	0.47	0.34	0.64	178	1762223	133	11	91	31	341
CRW_00306	SSU_rRNA_eukarya links to Rfam database...	0.52	0.37	0.73	171	1445616	97	6	57	34	291
CRW_00310	SSU_rRNA_eukarya links to Rfam database...	0.49	0.37	0.66	192	1805657	126	13	88	25	329
CRW_00326	SSU_rRNA_eukarya links to Rfam database...	0.57	0.40	0.80	201	1627859	78	6	44	28	301
CRW_00330	SSU_rRNA_eukarya links to Rfam database...	0.51	0.37	0.71	190	1988747	113	10	68	35	327
CRW_00332	SSU_rRNA_eukarya links to Rfam database...	0.48	0.34	0.67	161	1769781	123	8	71	44	316
CRW_00333	SSU_rRNA_eukarya links to Rfam database...	0.43	0.30	0.61	155	1892229	131	20	81	30	359
CRW_00345	SSU_rRNA_eukarya links to Rfam database...	0.51	0.36	0.72	181	1586621	96	8	61	27	317
CRW_00346	SSU_rRNA_eukarya links to Rfam database...	0.53	0.38	0.74	192	1584829	102	6	63	33	309
CRW_00348	SSU_rRNA_eukarya links to Rfam database...	0.54	0.40	0.72	200	1615226	107	10	67	30	303
CRW_00358	SSU_rRNA_eukarya links to Rfam database...	0.53	0.39	0.73	196	1675098	99	8	63	28	311
CRW_00366	SSU_rRNA_eukarya links to Rfam database...	0.52	0.37	0.71	180	1579501	100	8	64	28	302
CRW_00370	SSU_rRNA_eukarya links to Rfam database...	0.58	0.41	0.83	208	1640515	64	4	39	21	298
CRW_00371	SSU_rRNA_eukarya links to Rfam database...	0.55	0.40	0.75	199	1611646	93	8	57	28	297
CRW_00372	SSU_rRNA_eukarya links to Rfam database...	0.50	0.37	0.69	182	1626042	112	11	71	30	316
CRW_00379	SSU_rRNA_eukarya links to Rfam database...	0.49	0.33	0.72	176	2126710	109	5	62	42	358
CRW_00386	SSU_rRNA_eukarya links to Rfam database...	0.51	0.35	0.73	182	1751006	96	7	61	28	333
CRW_00403	SSU_rRNA_eukarya links to Rfam database...	0.52	0.39	0.70	180	1606270	126	11	67	48	284
CRW_00411	SSU_rRNA_eukarya links to Rfam database...	0.51	0.38	0.68	189	1615224	117	8	82	27	307
CRW_00414	SSU_rRNA_eukarya links to Rfam database...	0.48	0.34	0.67	170	1665972	109	11	72	26	325
CRW_00466	SSU_rRNA_bacteria links to Rfam database...	0.86	0.79	0.93	364	1116372	45	9	20	16	94
CRW_00589	SSU_rRNA_bacteria links to Rfam database...	0.86	0.78	0.94	347	1094091	45	2	20	23	98
CRW_00590	SSU_rRNA_bacteria links to Rfam database...	0.86	0.79	0.93	359	1119369	53	3	25	25	93
CRW_00591	SSU_rRNA_bacteria links to Rfam database...	0.86	0.79	0.92	354	1098520	55	6	23	26	92
CRW_00598	SSU_rRNA_eukarya links to Rfam database...	0.49	0.34	0.70	169	1665982	103	5	69	29	322
CRW_00758	SSU_rRNA_eukarya links to Rfam database...	0.52	0.38	0.72	184	1640510	108	6	66	36	299
CRW_00759	SSU_rRNA_eukarya links to Rfam database...	0.51	0.38	0.69	181	1636884	113	8	72	33	300
CRW_00760	SSU_rRNA_eukarya links to Rfam database...	0.52	0.37	0.74	180	1638713	102	7	55	40	306
CRW_00772	SSU_rRNA_bacteria links to Rfam database...	0.79	0.73	0.85	295	945652	81	5	48	28	109
CRW_00789	SSU_rRNA_bacteria links to Rfam database...	0.83	0.76	0.91	340	1137411	63	5	30	28	107
CRW_00795	SSU_rRNA_bacteria links to Rfam database...	0.80	0.72	0.88	284	1152598	97	3	36	58	110
CRW_00849	SSU_rRNA_bacteria links to Rfam database...	0.82	0.76	0.88	357	1117854	65	10	39	16	113
CRW_00997	SSU_rRNA_bacteria links to Rfam database...	0.85	0.80	0.91	369	1135873	50	13	23	14	95
CRW_01153	SSU_rRNA_eukarya links to Rfam database...	0.50	0.36	0.69	179	1606270	108	8	71	29	324
CRW_01171	SSU_rRNA_eukarya links to Rfam database...	0.49	0.36	0.67	183	1593733	116	11	78	27	323
CRW_01300	SSU_rRNA_eukarya links to Rfam database...	0.55	0.40	0.76	205	1693451	88	6	58	24	310
PDB_00703	SSU_rRNA_bacteria links to Rfam database...	0.81	0.70	0.92	348	1073468	55	8	21	26	147
PDB_00854	SSU_rRNA_bacteria links to Rfam database...	0.77	0.65	0.90	348	1500393	73	4	33	36	187
PDB_01088	SSU_rRNA_bacteria links to Rfam database...	0.75	0.62	0.90	341	1471090	76	2	37	37	206
PDB_01103	SSU_rRNA_bacteria links to Rfam database...	0.77	0.64	0.92	361	1606134	59	8	25	26	201
PDB_01105	SSU_rRNA_bacteria links to Rfam database...	0.78	0.66	0.92	359	1433581	59	2	29	28	181
PDB_01120	SSU_rRNA_bacteria links to Rfam database...	0.79	0.68	0.92	357	1204739	53	7	25	21	170
PDB_01273	SSU_rRNA_bacteria links to Rfam database...	0.80	0.69	0.91	341	1117886	62	6	27	29	150

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Performance of MaxExpect - scored lower in this pairwise comparison

1. Total counts & total scores for MaxExpect

Total Base Pair Counts
Total TP	15020
Total TN	104335019
Total FP	22934
Total FP CONTRA	3099
Total FP INCONS	17328
Total FP COMP	2507
Total FN	21944

Total Scores
MCC	0.415
Average MCC ± 95% Confidence Intervals	0.416 ± 0.027
Sensitivity	0.406
Positive Predictive Value	0.424
Nr of predictions	77

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2. Individual counts for MaxExpect [ download as .csv ]

RNA Chain	Rfam family	MCC	SENS	PPV	TP	TN	FP	FP CONTRA	FP INCONS	FP COMP	FN
CRW_00024	SSU_rRNA_archaea links to Rfam database...	0.71	0.70	0.71	320	1085152	169	17	112	40	138
CRW_00034	SSU_rRNA_bacteria links to Rfam database...	0.66	0.65	0.66	310	1141844	191	28	134	29	164
CRW_00048	SSU_rRNA_bacteria links to Rfam database...	0.52	0.48	0.57	226	1170816	189	20	153	16	244
CRW_00054	SSU_rRNA_bacteria links to Rfam database...	0.43	0.42	0.44	192	1107377	261	23	224	14	264
CRW_00059	SSU_rRNA_bacteria links to Rfam database...	0.51	0.49	0.54	232	1172316	212	16	182	14	241
CRW_00061	SSU_rRNA_bacteria links to Rfam database...	0.44	0.43	0.45	203	1181497	266	35	218	13	273
CRW_00068	SSU_rRNA_bacteria links to Rfam database...	0.44	0.43	0.45	197	1108869	251	32	207	12	260
CRW_00096	SSU_rRNA_bacteria links to Rfam database...	0.49	0.47	0.52	220	1178453	229	21	186	22	245
CRW_00140	SSU_rRNA_bacteria links to Rfam database...	0.43	0.42	0.44	193	1135835	265	20	230	15	270
CRW_00141	SSU_rRNA_bacteria links to Rfam database...	0.54	0.53	0.55	254	1201566	230	30	175	25	222
CRW_00150	SSU_rRNA_bacteria links to Rfam database...	0.44	0.43	0.46	202	1152479	257	24	216	17	264
CRW_00152	SSU_rRNA_bacteria links to Rfam database...	0.58	0.55	0.60	259	1179986	190	37	134	19	212
CRW_00166	SSU_rRNA_bacteria links to Rfam database...	0.43	0.41	0.46	192	1190777	241	18	209	14	276
CRW_00173	SSU_rRNA_bacteria links to Rfam database...	0.26	0.26	0.27	115	1082230	324	28	283	13	330
CRW_00177	SSU_rRNA_bacteria links to Rfam database...	0.48	0.47	0.50	221	1178440	239	26	193	20	252
CRW_00196	SSU_rRNA_bacteria links to Rfam database...	0.50	0.49	0.51	233	1207782	238	32	188	18	242
CRW_00230	SSU_rRNA_bacteria links to Rfam database...	0.58	0.55	0.60	263	1198489	199	15	159	25	215
CRW_00245	SSU_rRNA_bacteria links to Rfam database...	0.42	0.41	0.43	186	1105895	262	25	222	15	267
CRW_00248	SSU_rRNA_bacteria links to Rfam database...	0.51	0.51	0.51	248	1218656	263	29	208	26	236
CRW_00250	SSU_rRNA_bacteria links to Rfam database...	0.51	0.50	0.51	241	1198458	244	44	183	17	237
CRW_00256	SSU_rRNA_bacteria links to Rfam database...	0.40	0.39	0.41	182	1192293	285	38	227	20	286
CRW_00270	SSU_rRNA_bacteria links to Rfam database...	0.54	0.54	0.55	244	1111842	223	23	177	23	211
CRW_00271	SSU_rRNA_bacteria links to Rfam database...	0.33	0.32	0.34	146	1122327	292	34	244	14	316
CRW_00273	SSU_rRNA_bacteria links to Rfam database...	0.42	0.40	0.45	180	1085197	237	27	197	13	266
CRW_00275	SSU_rRNA_bacteria links to Rfam database...	0.61	0.60	0.62	273	1114831	186	26	141	19	184
CRW_00277	SSU_rRNA_bacteria links to Rfam database...	0.35	0.33	0.37	148	1110390	267	37	220	10	305
CRW_00278	SSU_rRNA_bacteria links to Rfam database...	0.39	0.36	0.42	160	1129876	240	22	198	20	290
CRW_00279	SSU_rRNA_bacteria links to Rfam database...	0.54	0.53	0.56	244	1179977	213	26	169	18	220
CRW_00280	SSU_rRNA_bacteria links to Rfam database...	0.36	0.35	0.37	157	1117836	279	37	230	12	296
CRW_00281	SSU_rRNA_bacteria links to Rfam database...	0.59	0.58	0.60	270	1144891	201	25	155	21	194
CRW_00284	SSU_rRNA_bacteria links to Rfam database...	0.38	0.35	0.41	159	1131368	249	21	212	16	297
CRW_00285	SSU_rRNA_bacteria links to Rfam database...	0.56	0.54	0.58	246	1117835	199	26	153	20	212
CRW_00289	SSU_rRNA_bacteria links to Rfam database...	0.48	0.46	0.50	218	1189213	245	32	190	23	258
CRW_00298	SSU_rRNA_eukarya links to Rfam database...	0.24	0.25	0.24	123	1620380	438	79	318	41	371
CRW_00301	SSU_rRNA_eukarya links to Rfam database...	0.35	0.35	0.35	180	1761991	393	60	272	61	339
CRW_00306	SSU_rRNA_eukarya links to Rfam database...	0.18	0.19	0.18	86	1445370	462	62	332	68	376
CRW_00310	SSU_rRNA_eukarya links to Rfam database...	0.30	0.30	0.30	157	1805427	422	63	303	56	364
CRW_00326	SSU_rRNA_eukarya links to Rfam database...	0.41	0.41	0.42	205	1627618	330	55	232	43	297
CRW_00330	SSU_rRNA_eukarya links to Rfam database...	0.33	0.33	0.32	172	1988480	429	65	298	66	345
CRW_00332	SSU_rRNA_eukarya links to Rfam database...	0.18	0.18	0.17	87	1769512	473	87	335	51	390
CRW_00333	SSU_rRNA_eukarya links to Rfam database...	0.33	0.32	0.35	166	1892006	380	65	248	67	348
CRW_00345	SSU_rRNA_eukarya links to Rfam database...	0.35	0.35	0.36	174	1586388	361	52	257	52	324
CRW_00346	SSU_rRNA_eukarya links to Rfam database...	0.37	0.38	0.37	188	1584581	361	62	259	40	313
CRW_00348	SSU_rRNA_eukarya links to Rfam database...	0.31	0.30	0.33	151	1615043	353	51	258	44	352
CRW_00358	SSU_rRNA_eukarya links to Rfam database...	0.41	0.41	0.42	206	1674869	336	56	234	46	301
CRW_00366	SSU_rRNA_eukarya links to Rfam database...	0.27	0.28	0.26	134	1579236	421	78	305	38	348
CRW_00370	SSU_rRNA_eukarya links to Rfam database...	0.30	0.30	0.30	151	1640256	403	77	282	44	355
CRW_00371	SSU_rRNA_eukarya links to Rfam database...	0.40	0.39	0.42	192	1611452	316	45	221	50	304
CRW_00372	SSU_rRNA_eukarya links to Rfam database...	0.28	0.28	0.27	139	1625798	414	78	291	45	359
CRW_00379	SSU_rRNA_eukarya links to Rfam database...	0.44	0.44	0.43	234	2126414	384	57	248	79	300
CRW_00386	SSU_rRNA_eukarya links to Rfam database...	0.26	0.27	0.25	138	1750712	440	78	328	34	377
CRW_00403	SSU_rRNA_eukarya links to Rfam database...	0.31	0.31	0.31	144	1606062	415	58	264	93	320
CRW_00411	SSU_rRNA_eukarya links to Rfam database...	0.33	0.33	0.34	163	1615021	361	68	251	42	333
CRW_00414	SSU_rRNA_eukarya links to Rfam database...	0.30	0.31	0.30	153	1665712	421	60	300	61	342
CRW_00466	SSU_rRNA_bacteria links to Rfam database...	0.61	0.60	0.62	273	1116325	188	25	142	21	185
CRW_00589	SSU_rRNA_bacteria links to Rfam database...	0.32	0.31	0.34	136	1094057	285	28	239	18	309
CRW_00590	SSU_rRNA_bacteria links to Rfam database...	0.40	0.37	0.43	169	1119363	246	23	201	22	283
CRW_00591	SSU_rRNA_bacteria links to Rfam database...	0.44	0.43	0.44	194	1098463	264	36	210	18	252
CRW_00598	SSU_rRNA_eukarya links to Rfam database...	0.38	0.39	0.38	190	1665724	360	63	248	49	301
CRW_00758	SSU_rRNA_eukarya links to Rfam database...	0.33	0.32	0.34	155	1640308	356	41	262	53	328
CRW_00759	SSU_rRNA_eukarya links to Rfam database...	0.31	0.31	0.30	151	1636649	407	59	286	62	330
CRW_00760	SSU_rRNA_eukarya links to Rfam database...	0.29	0.29	0.28	143	1638449	415	65	298	52	343
CRW_00772	SSU_rRNA_bacteria links to Rfam database...	0.22	0.21	0.23	85	945632	297	29	254	14	319
CRW_00789	SSU_rRNA_bacteria links to Rfam database...	0.37	0.37	0.38	165	1137350	293	39	232	22	282
CRW_00795	SSU_rRNA_bacteria links to Rfam database...	0.35	0.35	0.35	138	1152523	307	34	226	47	256
CRW_00849	SSU_rRNA_bacteria links to Rfam database...	0.58	0.58	0.59	271	1117802	215	14	173	28	199
CRW_00997	SSU_rRNA_bacteria links to Rfam database...	0.44	0.42	0.45	197	1135837	260	32	212	16	267
CRW_01153	SSU_rRNA_eukarya links to Rfam database...	0.30	0.30	0.30	151	1606020	397	56	301	40	352
CRW_01171	SSU_rRNA_eukarya links to Rfam database...	0.33	0.33	0.34	167	1593511	375	57	270	48	339
CRW_01300	SSU_rRNA_eukarya links to Rfam database...	0.35	0.34	0.35	177	1693219	370	60	264	46	338
PDB_00703	SSU_rRNA_bacteria links to Rfam database...	0.57	0.52	0.62	259	1073427	187	20	139	28	236
PDB_00854	SSU_rRNA_bacteria links to Rfam database...	0.58	0.56	0.60	298	1500283	247	21	176	50	237
PDB_01088	SSU_rRNA_bacteria links to Rfam database...	0.33	0.32	0.35	176	1470965	353	46	283	24	371
PDB_01103	SSU_rRNA_bacteria links to Rfam database...	0.63	0.60	0.67	337	1606027	197	18	146	33	225
PDB_01105	SSU_rRNA_bacteria links to Rfam database...	0.57	0.54	0.60	289	1433488	229	24	170	35	251
PDB_01120	SSU_rRNA_bacteria links to Rfam database...	0.43	0.40	0.46	211	1204672	264	28	217	19	316
PDB_01273	SSU_rRNA_bacteria links to Rfam database...	0.45	0.43	0.46	211	1117804	273	31	214	28	280

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Matthews Correlation Coeffient, Sensitivity and Positive Predictive Value have been calculated based on the paper by Gardener & Giegerich, 2004.

Table of contents:

Overview

Performance plots

Performance of CentroidAlifold(20) - scored higher in this pairwise comparison

1. Total counts & total scores for CentroidAlifold(20)

2. Individual counts for CentroidAlifold(20) [ download as .csv ]

Performance of MaxExpect - scored lower in this pairwise comparison

1. Total counts & total scores for MaxExpect

2. Individual counts for MaxExpect [ download as .csv ]