CompaRNA - on-line benchmarks of RNA structure prediction methods

Laboratory of Structural Bioinformatics @ Adam Mickiewicz University in Poznan

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Overview

Metric	RNAalifold(20)		RSpredict(20)
MCC	0.674	>	0.464
Average MCC ± 95% Confidence Intervals	0.674 ± 0.044	>	0.472 ± 0.067
Sensitivity	0.621	>	0.417
Positive Predictive Value	0.732	>	0.516
Total TP	22941	>	15416
Total TN	104339145	<	104340583
Total FP	9959	<	16541
Total FP CONTRA	1517	<	2420
Total FP INCONS	6863	<	12047
Total FP COMP	1579	<	2074
Total FN	14023	<	21548
P-value	3.56938820447e-08

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Performance plots

Comparison of performance of RNAalifold(20) and RSpredict(20). 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 RNAalifold(20) and RSpredict(20)).
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 RNAalifold(20) and RSpredict(20)).
Comparison of average Matthews Correlation Coefficients (MCCs) for RNAalifold(20) and RSpredict(20). 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 RNAalifold(20) and RSpredict(20)).

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

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

Total Base Pair Counts
Total TP	22941
Total TN	104339145
Total FP	9959
Total FP CONTRA	1517
Total FP INCONS	6863
Total FP COMP	1579
Total FN	14023

Total Scores
MCC	0.674
Average MCC ± 95% Confidence Intervals	0.674 ± 0.044
Sensitivity	0.621
Positive Predictive Value	0.732
Nr of predictions	77

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2. Individual counts for RNAalifold(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...	0.87	0.84	0.90	385	1085172	61	7	37	17	73
CRW_00034	SSU_rRNA_bacteria links to Rfam database...	0.83	0.78	0.87	371	1141890	74	12	43	19	103
CRW_00048	SSU_rRNA_bacteria links to Rfam database...	0.83	0.80	0.86	374	1170779	75	11	51	13	96
CRW_00054	SSU_rRNA_bacteria links to Rfam database...	0.84	0.82	0.87	372	1107390	68	12	42	14	84
CRW_00059	SSU_rRNA_bacteria links to Rfam database...	0.81	0.76	0.86	361	1172324	71	11	50	10	112
CRW_00061	SSU_rRNA_bacteria links to Rfam database...	0.85	0.80	0.90	382	1181529	55	14	28	13	94
CRW_00068	SSU_rRNA_bacteria links to Rfam database...	0.86	0.83	0.89	381	1108875	61	12	37	12	76
CRW_00096	SSU_rRNA_bacteria links to Rfam database...	0.85	0.81	0.90	376	1178461	63	6	37	20	89
CRW_00140	SSU_rRNA_bacteria links to Rfam database...	0.84	0.82	0.87	380	1135841	71	13	44	14	83
CRW_00141	SSU_rRNA_bacteria links to Rfam database...	0.82	0.78	0.87	371	1201597	71	12	45	14	105
CRW_00150	SSU_rRNA_bacteria links to Rfam database...	0.84	0.80	0.88	372	1152500	62	12	37	13	94
CRW_00152	SSU_rRNA_bacteria links to Rfam database...	0.79	0.75	0.82	355	1179984	91	17	60	14	116
CRW_00166	SSU_rRNA_bacteria links to Rfam database...	0.83	0.79	0.88	368	1190777	71	7	44	20	100
CRW_00173	SSU_rRNA_bacteria links to Rfam database...	0.77	0.75	0.80	332	1082242	94	12	70	12	113
CRW_00177	SSU_rRNA_bacteria links to Rfam database...	0.80	0.76	0.84	358	1178455	78	13	54	11	115
CRW_00196	SSU_rRNA_bacteria links to Rfam database...	0.82	0.79	0.86	373	1207803	68	15	44	9	102
CRW_00230	SSU_rRNA_bacteria links to Rfam database...	0.83	0.79	0.88	378	1198495	67	12	41	14	100
CRW_00245	SSU_rRNA_bacteria links to Rfam database...	0.86	0.83	0.89	378	1105903	56	14	33	9	75
CRW_00248	SSU_rRNA_bacteria links to Rfam database...	0.79	0.75	0.83	364	1218705	87	17	55	15	120
CRW_00250	SSU_rRNA_bacteria links to Rfam database...	0.83	0.78	0.88	373	1198502	61	12	39	10	105
CRW_00256	SSU_rRNA_bacteria links to Rfam database...	0.82	0.78	0.87	363	1192322	68	14	41	13	105
CRW_00270	SSU_rRNA_bacteria links to Rfam database...	0.85	0.83	0.88	376	1111859	66	12	39	15	79
CRW_00271	SSU_rRNA_bacteria links to Rfam database...	0.82	0.79	0.87	363	1122332	69	11	45	13	99
CRW_00273	SSU_rRNA_bacteria links to Rfam database...	0.84	0.81	0.87	360	1085185	68	13	43	12	86
CRW_00275	SSU_rRNA_bacteria links to Rfam database...	0.84	0.81	0.87	368	1114849	68	12	42	14	89
CRW_00277	SSU_rRNA_bacteria links to Rfam database...	0.82	0.79	0.85	359	1110374	76	14	48	14	94
CRW_00278	SSU_rRNA_bacteria links to Rfam database...	0.82	0.78	0.86	349	1129851	72	10	46	16	101
CRW_00279	SSU_rRNA_bacteria links to Rfam database...	0.81	0.78	0.85	360	1179994	80	12	50	18	104
CRW_00280	SSU_rRNA_bacteria links to Rfam database...	0.83	0.79	0.87	360	1117845	71	12	43	16	93
CRW_00281	SSU_rRNA_bacteria links to Rfam database...	0.82	0.78	0.85	363	1144916	75	12	50	13	101
CRW_00284	SSU_rRNA_bacteria links to Rfam database...	0.84	0.80	0.89	363	1131350	62	12	35	15	93
CRW_00285	SSU_rRNA_bacteria links to Rfam database...	0.83	0.79	0.88	364	1117844	66	13	39	14	94
CRW_00289	SSU_rRNA_bacteria links to Rfam database...	0.81	0.76	0.86	361	1189232	70	13	47	10	115
CRW_00298	SSU_rRNA_eukarya links to Rfam database...	0.43	0.38	0.49	187	1620517	224	43	153	28	307
CRW_00301	SSU_rRNA_eukarya links to Rfam database...	0.42	0.37	0.48	192	1762101	229	37	173	19	327
CRW_00306	SSU_rRNA_eukarya links to Rfam database...	0.42	0.38	0.46	176	1445467	237	39	168	30	286
CRW_00310	SSU_rRNA_eukarya links to Rfam database...	0.46	0.39	0.55	204	1805579	190	29	138	23	317
CRW_00326	SSU_rRNA_eukarya links to Rfam database...	0.41	0.35	0.47	178	1627730	219	36	166	17	324
CRW_00330	SSU_rRNA_eukarya links to Rfam database...	0.40	0.35	0.47	182	1988624	243	35	174	34	335
CRW_00332	SSU_rRNA_eukarya links to Rfam database...	0.39	0.34	0.43	164	1769642	239	35	180	24	313
CRW_00333	SSU_rRNA_eukarya links to Rfam database...	0.34	0.29	0.40	150	1892114	241	34	187	20	364
CRW_00345	SSU_rRNA_eukarya links to Rfam database...	0.43	0.38	0.48	189	1586477	222	39	166	17	309
CRW_00346	SSU_rRNA_eukarya links to Rfam database...	0.45	0.40	0.50	202	1584688	230	32	168	30	299
CRW_00348	SSU_rRNA_eukarya links to Rfam database...	0.43	0.38	0.48	190	1615106	228	41	166	21	313
CRW_00358	SSU_rRNA_eukarya links to Rfam database...	0.43	0.38	0.49	192	1674972	227	34	167	26	315
CRW_00366	SSU_rRNA_eukarya links to Rfam database...	0.39	0.34	0.45	166	1579381	248	30	176	42	316
CRW_00370	SSU_rRNA_eukarya links to Rfam database...	0.52	0.47	0.57	240	1640342	204	34	150	20	266
CRW_00371	SSU_rRNA_eukarya links to Rfam database...	0.43	0.38	0.49	187	1611527	222	27	169	26	309
CRW_00372	SSU_rRNA_eukarya links to Rfam database...	0.40	0.35	0.46	174	1625925	228	37	170	21	324
CRW_00379	SSU_rRNA_eukarya links to Rfam database...	0.40	0.34	0.47	179	2126574	228	31	169	28	355
CRW_00386	SSU_rRNA_eukarya links to Rfam database...	0.44	0.37	0.51	193	1750879	199	35	149	15	322
CRW_00403	SSU_rRNA_eukarya links to Rfam database...	0.39	0.37	0.42	170	1606127	272	38	193	41	294
CRW_00411	SSU_rRNA_eukarya links to Rfam database...	0.43	0.39	0.48	191	1615105	227	43	164	20	305
CRW_00414	SSU_rRNA_eukarya links to Rfam database...	0.38	0.35	0.41	171	1665811	266	36	207	23	324
CRW_00466	SSU_rRNA_bacteria links to Rfam database...	0.84	0.81	0.86	373	1116333	74	11	48	15	85
CRW_00589	SSU_rRNA_bacteria links to Rfam database...	0.86	0.81	0.91	361	1094062	61	7	30	24	84
CRW_00590	SSU_rRNA_bacteria links to Rfam database...	0.84	0.79	0.89	358	1119354	70	6	38	26	94
CRW_00591	SSU_rRNA_bacteria links to Rfam database...	0.87	0.83	0.91	368	1098500	61	9	26	26	78
CRW_00598	SSU_rRNA_eukarya links to Rfam database...	0.42	0.38	0.47	187	1665825	229	39	174	16	304
CRW_00758	SSU_rRNA_eukarya links to Rfam database...	0.48	0.43	0.53	210	1640373	205	34	149	22	273
CRW_00759	SSU_rRNA_eukarya links to Rfam database...	0.42	0.38	0.48	182	1636762	232	39	162	31	299
CRW_00760	SSU_rRNA_eukarya links to Rfam database...	0.43	0.37	0.50	179	1638594	209	38	144	27	307
CRW_00772	SSU_rRNA_bacteria links to Rfam database...	0.78	0.74	0.83	298	945642	94	6	54	34	106
CRW_00789	SSU_rRNA_bacteria links to Rfam database...	0.82	0.78	0.87	348	1137388	80	6	44	30	99
CRW_00795	SSU_rRNA_bacteria links to Rfam database...	0.74	0.70	0.79	276	1152572	131	10	63	58	118
CRW_00849	SSU_rRNA_bacteria links to Rfam database...	0.78	0.74	0.82	350	1117832	97	13	65	19	120
CRW_00997	SSU_rRNA_bacteria links to Rfam database...	0.84	0.81	0.88	374	1135854	61	12	38	11	90
CRW_01153	SSU_rRNA_eukarya links to Rfam database...	0.47	0.42	0.53	210	1606133	216	27	158	31	293
CRW_01171	SSU_rRNA_eukarya links to Rfam database...	0.44	0.38	0.50	193	1593619	210	32	161	17	313
CRW_01300	SSU_rRNA_eukarya links to Rfam database...	0.52	0.45	0.59	231	1693331	174	31	127	16	284
PDB_00703	SSU_rRNA_bacteria links to Rfam database...	0.78	0.71	0.86	353	1073436	80	10	46	24	142
PDB_00854	SSU_rRNA_bacteria links to Rfam database...	0.75	0.65	0.86	347	1500373	97	7	51	39	188
PDB_01088	SSU_rRNA_bacteria links to Rfam database...	0.73	0.62	0.86	341	1471072	93	2	55	36	206
PDB_01103	SSU_rRNA_bacteria links to Rfam database...	0.75	0.65	0.87	364	1606111	77	8	45	24	198
PDB_01105	SSU_rRNA_bacteria links to Rfam database...	0.76	0.67	0.87	360	1433555	85	3	53	29	180
PDB_01120	SSU_rRNA_bacteria links to Rfam database...	0.72	0.65	0.80	341	1204702	101	13	72	16	186
PDB_01273	SSU_rRNA_bacteria links to Rfam database...	0.78	0.71	0.86	347	1117857	83	8	48	27	144

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Performance of RSpredict(20) - scored lower in this pairwise comparison

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

Total Base Pair Counts
Total TP	15416
Total TN	104340583
Total FP	16541
Total FP CONTRA	2420
Total FP INCONS	12047
Total FP COMP	2074
Total FN	21548

Total Scores
MCC	0.464
Average MCC ± 95% Confidence Intervals	0.472 ± 0.067
Sensitivity	0.417
Positive Predictive Value	0.516
Nr of predictions	77

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2. Individual counts for RSpredict(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...	0.78	0.76	0.80	349	1085166	117	16	70	31	109
CRW_00034	SSU_rRNA_bacteria links to Rfam database...	0.60	0.50	0.71	239	1141980	119	16	81	22	235
CRW_00048	SSU_rRNA_bacteria links to Rfam database...	0.74	0.71	0.78	332	1170788	124	21	74	29	138
CRW_00054	SSU_rRNA_bacteria links to Rfam database...	0.72	0.68	0.76	308	1107412	121	17	79	25	148
CRW_00059	SSU_rRNA_bacteria links to Rfam database...	0.73	0.68	0.78	320	1172336	118	19	71	28	153
CRW_00061	SSU_rRNA_bacteria links to Rfam database...	0.63	0.55	0.72	260	1181590	123	18	85	20	216
CRW_00068	SSU_rRNA_bacteria links to Rfam database...	0.73	0.69	0.77	314	1108895	119	18	78	23	143
CRW_00096	SSU_rRNA_bacteria links to Rfam database...	0.73	0.69	0.78	320	1178470	123	16	74	33	145
CRW_00140	SSU_rRNA_bacteria links to Rfam database...	0.73	0.68	0.79	316	1135876	116	15	71	30	147
CRW_00141	SSU_rRNA_bacteria links to Rfam database...	0.72	0.67	0.77	320	1201607	124	19	79	26	156
CRW_00150	SSU_rRNA_bacteria links to Rfam database...	0.73	0.68	0.79	315	1152520	110	20	66	24	151
CRW_00152	SSU_rRNA_bacteria links to Rfam database...	0.71	0.65	0.77	308	1180015	120	17	76	27	163
CRW_00166	SSU_rRNA_bacteria links to Rfam database...	0.73	0.68	0.79	317	1190796	115	15	68	32	151
CRW_00173	SSU_rRNA_bacteria links to Rfam database...	0.68	0.63	0.74	281	1082274	126	20	81	25	164
CRW_00177	SSU_rRNA_bacteria links to Rfam database...	0.66	0.60	0.74	283	1178495	122	22	80	20	190
CRW_00196	SSU_rRNA_bacteria links to Rfam database...	0.71	0.67	0.76	316	1207819	125	23	77	25	159
CRW_00230	SSU_rRNA_bacteria links to Rfam database...	0.72	0.67	0.77	319	1198513	119	20	74	25	159
CRW_00245	SSU_rRNA_bacteria links to Rfam database...	0.70	0.63	0.78	285	1105963	105	14	66	25	168
CRW_00248	SSU_rRNA_bacteria links to Rfam database...	0.71	0.67	0.76	322	1218719	127	19	81	27	162
CRW_00250	SSU_rRNA_bacteria links to Rfam database...	0.72	0.66	0.78	317	1198517	119	19	73	27	161
CRW_00256	SSU_rRNA_bacteria links to Rfam database...	0.71	0.62	0.81	292	1192380	91	18	50	23	176
CRW_00270	SSU_rRNA_bacteria links to Rfam database...	0.68	0.60	0.77	272	1111934	101	13	67	21	183
CRW_00271	SSU_rRNA_bacteria links to Rfam database...	0.70	0.65	0.75	301	1122349	125	21	80	24	161
CRW_00273	SSU_rRNA_bacteria links to Rfam database...	0.67	0.60	0.76	266	1085250	106	16	69	21	180
CRW_00275	SSU_rRNA_bacteria links to Rfam database...	0.73	0.69	0.77	315	1114864	116	18	74	24	142
CRW_00277	SSU_rRNA_bacteria links to Rfam database...	0.62	0.54	0.71	244	1110451	120	17	83	20	209
CRW_00278	SSU_rRNA_bacteria links to Rfam database...	0.60	0.51	0.71	231	1129930	115	14	81	20	219
CRW_00279	SSU_rRNA_bacteria links to Rfam database...	0.71	0.66	0.75	308	1180005	131	20	83	28	156
CRW_00280	SSU_rRNA_bacteria links to Rfam database...	0.71	0.66	0.75	300	1117861	125	19	80	26	153
CRW_00281	SSU_rRNA_bacteria links to Rfam database...	0.72	0.67	0.77	311	1144937	123	15	78	30	153
CRW_00284	SSU_rRNA_bacteria links to Rfam database...	0.71	0.66	0.77	301	1131370	113	18	71	24	155
CRW_00285	SSU_rRNA_bacteria links to Rfam database...	0.64	0.55	0.73	254	1117913	115	15	78	22	204
CRW_00289	SSU_rRNA_bacteria links to Rfam database...	0.70	0.66	0.76	312	1189241	126	19	81	26	164
CRW_00298	SSU_rRNA_eukarya links to Rfam database...	0.01	0.01	0.01	3	1620508	410	63	326	21	491
CRW_00301	SSU_rRNA_eukarya links to Rfam database...	0.33	0.31	0.36	161	1762053	322	46	243	33	358
CRW_00306	SSU_rRNA_eukarya links to Rfam database...	0.37	0.34	0.39	158	1445446	293	34	212	47	304
CRW_00310	SSU_rRNA_eukarya links to Rfam database...	0.02	0.02	0.02	8	1805520	442	63	359	20	513
CRW_00326	SSU_rRNA_eukarya links to Rfam database...	0.36	0.34	0.38	172	1627656	314	50	232	32	330
CRW_00330	SSU_rRNA_eukarya links to Rfam database...	0.02	0.02	0.02	8	1988575	477	82	350	45	509
CRW_00332	SSU_rRNA_eukarya links to Rfam database...	0.01	0.01	0.01	3	1769654	389	59	305	25	474
CRW_00333	SSU_rRNA_eukarya links to Rfam database...	0.00	0.00	0.00	1	1892051	454	80	353	21	513
CRW_00345	SSU_rRNA_eukarya links to Rfam database...	0.02	0.02	0.02	8	1586488	384	57	318	9	490
CRW_00346	SSU_rRNA_eukarya links to Rfam database...	0.35	0.31	0.39	156	1584690	293	33	211	49	345
CRW_00348	SSU_rRNA_eukarya links to Rfam database...	0.00	0.00	0.00	0	1615104	410	69	330	11	503
CRW_00358	SSU_rRNA_eukarya links to Rfam database...	0.00	0.00	0.00	0	1674979	406	62	324	20	507
CRW_00366	SSU_rRNA_eukarya links to Rfam database...	0.01	0.01	0.01	4	1579393	371	66	290	15	478
CRW_00370	SSU_rRNA_eukarya links to Rfam database...	0.39	0.37	0.42	186	1640327	297	32	221	44	320
CRW_00371	SSU_rRNA_eukarya links to Rfam database...	0.02	0.02	0.02	8	1611495	424	63	344	17	488
CRW_00372	SSU_rRNA_eukarya links to Rfam database...	0.02	0.02	0.02	8	1625926	390	51	321	18	490
CRW_00379	SSU_rRNA_eukarya links to Rfam database...	0.00	0.00	0.00	0	2126541	465	66	346	53	534
CRW_00386	SSU_rRNA_eukarya links to Rfam database...	0.02	0.02	0.02	8	1750835	427	65	348	14	507
CRW_00403	SSU_rRNA_eukarya links to Rfam database...	0.00	0.00	0.00	0	1606168	385	68	292	25	464
CRW_00411	SSU_rRNA_eukarya links to Rfam database...	0.00	0.00	0.00	0	1615135	382	74	294	14	496
CRW_00414	SSU_rRNA_eukarya links to Rfam database...	0.33	0.31	0.36	152	1665808	305	45	220	40	343
CRW_00466	SSU_rRNA_bacteria links to Rfam database...	0.64	0.56	0.73	258	1116413	115	15	79	21	200
CRW_00589	SSU_rRNA_bacteria links to Rfam database...	0.64	0.55	0.75	244	1094136	105	9	71	25	201
CRW_00590	SSU_rRNA_bacteria links to Rfam database...	0.63	0.55	0.73	249	1119415	115	6	86	23	203
CRW_00591	SSU_rRNA_bacteria links to Rfam database...	0.70	0.63	0.76	283	1098533	118	13	74	31	163
CRW_00598	SSU_rRNA_eukarya links to Rfam database...	0.30	0.27	0.33	134	1665821	312	37	233	42	357
CRW_00758	SSU_rRNA_eukarya links to Rfam database...	0.00	0.00	0.00	0	1640340	444	79	347	18	483
CRW_00759	SSU_rRNA_eukarya links to Rfam database...	0.02	0.02	0.02	9	1636732	429	64	340	25	472
CRW_00760	SSU_rRNA_eukarya links to Rfam database...	0.00	0.00	0.00	0	1638553	425	77	325	23	486
CRW_00772	SSU_rRNA_bacteria links to Rfam database...	0.59	0.49	0.71	196	945723	109	10	71	28	208
CRW_00789	SSU_rRNA_bacteria links to Rfam database...	0.65	0.57	0.75	254	1137446	113	13	73	27	193
CRW_00795	SSU_rRNA_bacteria links to Rfam database...	0.63	0.53	0.75	209	1152644	114	10	58	46	185
CRW_00849	SSU_rRNA_bacteria links to Rfam database...	0.61	0.51	0.72	241	1117925	111	14	80	17	229
CRW_00997	SSU_rRNA_bacteria links to Rfam database...	0.73	0.69	0.77	319	1135862	125	18	79	28	145
CRW_01153	SSU_rRNA_eukarya links to Rfam database...	0.35	0.31	0.40	155	1606145	262	44	184	34	348
CRW_01171	SSU_rRNA_eukarya links to Rfam database...	0.02	0.01	0.02	7	1593610	403	61	327	15	499
CRW_01300	SSU_rRNA_eukarya links to Rfam database...	0.00	0.00	0.00	0	1693285	445	62	373	10	515
PDB_00703	SSU_rRNA_bacteria links to Rfam database...	0.67	0.60	0.75	297	1073447	132	13	88	31	198
PDB_00854	SSU_rRNA_bacteria links to Rfam database...	0.62	0.50	0.76	266	1500430	124	10	72	42	269
PDB_01088	SSU_rRNA_bacteria links to Rfam database...	0.62	0.49	0.77	268	1471123	123	8	71	44	279
PDB_01103	SSU_rRNA_bacteria links to Rfam database...	0.63	0.49	0.80	278	1606180	104	12	58	34	284
PDB_01105	SSU_rRNA_bacteria links to Rfam database...	0.61	0.50	0.75	270	1433609	124	8	84	32	270
PDB_01120	SSU_rRNA_bacteria links to Rfam database...	0.64	0.54	0.76	282	1204758	129	8	80	41	245
PDB_01273	SSU_rRNA_bacteria links to Rfam database...	0.69	0.62	0.77	305	1117865	121	14	76	31	186

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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 RNAalifold(20) - scored higher in this pairwise comparison

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

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

Performance of RSpredict(20) - scored lower in this pairwise comparison

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

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