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)		MXScarna(20)
MCC	0.674	>	0.598
Average MCC ± 95% Confidence Intervals	0.674 ± 0.044	>	0.603 ± 0.029
Sensitivity	0.621	>	0.548
Positive Predictive Value	0.732	>	0.653
Total TP	22941	>	20251
Total TN	104339145	<	104339447
Total FP	9959	<	14477
Total FP CONTRA	1517	<	1798
Total FP INCONS	6863	<	8970
Total FP COMP	1579	<	3709
Total FN	14023	<	16713
P-value	3.56938820447e-08

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Performance plots

Comparison of performance of RNAalifold(20) and MXScarna(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 MXScarna(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 MXScarna(20)).
Comparison of average Matthews Correlation Coefficients (MCCs) for RNAalifold(20) and MXScarna(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 MXScarna(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 MXScarna(20) - scored lower in this pairwise comparison

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

Total Base Pair Counts
Total TP	20251
Total TN	104339447
Total FP	14477
Total FP CONTRA	1798
Total FP INCONS	8970
Total FP COMP	3709
Total FN	16713

Total Scores
MCC	0.598
Average MCC ± 95% Confidence Intervals	0.603 ± 0.029
Sensitivity	0.548
Positive Predictive Value	0.653
Nr of predictions	77

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2. Individual counts for MXScarna(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...	0.84	0.81	0.87	369	1085176	107	10	46	51	89
CRW_00034	SSU_rRNA_bacteria links to Rfam database...	0.68	0.60	0.77	283	1141947	122	12	74	36	191
CRW_00048	SSU_rRNA_bacteria links to Rfam database...	0.72	0.67	0.78	317	1170807	127	11	80	36	153
CRW_00054	SSU_rRNA_bacteria links to Rfam database...	0.68	0.63	0.74	288	1107425	137	16	87	34	168
CRW_00059	SSU_rRNA_bacteria links to Rfam database...	0.72	0.66	0.78	312	1172344	127	16	74	37	161
CRW_00061	SSU_rRNA_bacteria links to Rfam database...	0.73	0.66	0.81	316	1181563	109	13	61	35	160
CRW_00068	SSU_rRNA_bacteria links to Rfam database...	0.69	0.64	0.74	293	1108909	137	18	85	34	164
CRW_00096	SSU_rRNA_bacteria links to Rfam database...	0.75	0.68	0.81	318	1178489	108	6	67	35	147
CRW_00140	SSU_rRNA_bacteria links to Rfam database...	0.76	0.71	0.81	328	1135874	114	12	64	38	135
CRW_00141	SSU_rRNA_bacteria links to Rfam database...	0.69	0.64	0.75	305	1201619	132	14	87	31	171
CRW_00150	SSU_rRNA_bacteria links to Rfam database...	0.72	0.65	0.80	303	1152540	113	14	64	35	163
CRW_00152	SSU_rRNA_bacteria links to Rfam database...	0.76	0.70	0.82	332	1180009	110	11	64	35	139
CRW_00166	SSU_rRNA_bacteria links to Rfam database...	0.65	0.60	0.71	281	1190800	160	10	105	45	187
CRW_00173	SSU_rRNA_bacteria links to Rfam database...	0.57	0.52	0.63	232	1082285	168	19	120	29	213
CRW_00177	SSU_rRNA_bacteria links to Rfam database...	0.62	0.56	0.68	264	1178492	152	16	108	28	209
CRW_00196	SSU_rRNA_bacteria links to Rfam database...	0.73	0.67	0.80	319	1207837	117	10	69	38	156
CRW_00230	SSU_rRNA_bacteria links to Rfam database...	0.73	0.67	0.80	319	1198526	122	12	69	41	159
CRW_00245	SSU_rRNA_bacteria links to Rfam database...	0.73	0.67	0.81	302	1105955	106	13	58	35	151
CRW_00248	SSU_rRNA_bacteria links to Rfam database...	0.71	0.65	0.77	317	1218729	129	13	82	34	167
CRW_00250	SSU_rRNA_bacteria links to Rfam database...	0.73	0.67	0.79	321	1198521	119	12	72	35	157
CRW_00256	SSU_rRNA_bacteria links to Rfam database...	0.70	0.64	0.77	299	1192353	124	11	77	36	169
CRW_00270	SSU_rRNA_bacteria links to Rfam database...	0.72	0.67	0.77	306	1111891	121	14	75	32	149
CRW_00271	SSU_rRNA_bacteria links to Rfam database...	0.70	0.65	0.77	298	1122364	122	17	72	33	164
CRW_00273	SSU_rRNA_bacteria links to Rfam database...	0.68	0.62	0.74	277	1085225	135	13	86	36	169
CRW_00275	SSU_rRNA_bacteria links to Rfam database...	0.71	0.63	0.80	289	1114908	114	13	61	40	168
CRW_00277	SSU_rRNA_bacteria links to Rfam database...	0.68	0.63	0.73	286	1110405	132	17	87	28	167
CRW_00278	SSU_rRNA_bacteria links to Rfam database...	0.71	0.62	0.80	280	1129906	107	12	58	37	170
CRW_00279	SSU_rRNA_bacteria links to Rfam database...	0.70	0.64	0.77	299	1180027	133	10	80	43	165
CRW_00280	SSU_rRNA_bacteria links to Rfam database...	0.72	0.66	0.78	301	1117875	125	10	74	41	152
CRW_00281	SSU_rRNA_bacteria links to Rfam database...	0.71	0.65	0.78	303	1144954	117	13	71	33	161
CRW_00284	SSU_rRNA_bacteria links to Rfam database...	0.69	0.62	0.77	281	1131397	117	9	73	35	175
CRW_00285	SSU_rRNA_bacteria links to Rfam database...	0.70	0.64	0.77	292	1117883	123	15	70	38	166
CRW_00289	SSU_rRNA_bacteria links to Rfam database...	0.62	0.58	0.66	274	1189239	172	18	122	32	202
CRW_00298	SSU_rRNA_eukarya links to Rfam database...	0.48	0.46	0.51	226	1620454	284	45	175	64	268
CRW_00301	SSU_rRNA_eukarya links to Rfam database...	0.42	0.39	0.45	204	1762046	308	49	204	55	315
CRW_00306	SSU_rRNA_eukarya links to Rfam database...	0.43	0.40	0.46	183	1445453	276	47	167	62	279
CRW_00310	SSU_rRNA_eukarya links to Rfam database...	0.45	0.41	0.49	212	1805516	285	39	183	63	309
CRW_00326	SSU_rRNA_eukarya links to Rfam database...	0.49	0.45	0.53	227	1627679	267	35	169	63	275
CRW_00330	SSU_rRNA_eukarya links to Rfam database...	0.41	0.37	0.45	190	1988597	294	32	196	66	327
CRW_00332	SSU_rRNA_eukarya links to Rfam database...	0.37	0.34	0.40	163	1769615	307	47	196	64	314
CRW_00333	SSU_rRNA_eukarya links to Rfam database...	0.31	0.26	0.35	136	1892099	328	47	203	78	378
CRW_00345	SSU_rRNA_eukarya links to Rfam database...	0.46	0.44	0.49	219	1586422	293	53	177	63	279
CRW_00346	SSU_rRNA_eukarya links to Rfam database...	0.49	0.46	0.52	229	1584649	269	43	169	57	272
CRW_00348	SSU_rRNA_eukarya links to Rfam database...	0.49	0.47	0.52	235	1615052	277	51	165	61	268
CRW_00358	SSU_rRNA_eukarya links to Rfam database...	0.48	0.44	0.53	224	1674941	262	38	162	62	283
CRW_00366	SSU_rRNA_eukarya links to Rfam database...	0.42	0.40	0.43	195	1579299	332	47	212	73	287
CRW_00370	SSU_rRNA_eukarya links to Rfam database...	0.50	0.48	0.52	242	1640302	281	47	175	59	264
CRW_00371	SSU_rRNA_eukarya links to Rfam database...	0.49	0.46	0.53	229	1611474	266	39	168	59	267
CRW_00372	SSU_rRNA_eukarya links to Rfam database...	0.51	0.47	0.54	236	1625872	273	37	161	75	262
CRW_00379	SSU_rRNA_eukarya links to Rfam database...	0.37	0.33	0.42	175	2126532	323	40	206	77	359
CRW_00386	SSU_rRNA_eukarya links to Rfam database...	0.47	0.43	0.50	223	1750812	281	44	177	60	292
CRW_00403	SSU_rRNA_eukarya links to Rfam database...	0.45	0.41	0.48	192	1606131	304	37	168	99	272
CRW_00411	SSU_rRNA_eukarya links to Rfam database...	0.49	0.46	0.52	227	1615066	271	42	168	61	269
CRW_00414	SSU_rRNA_eukarya links to Rfam database...	0.39	0.37	0.41	181	1665782	316	50	212	54	314
CRW_00466	SSU_rRNA_bacteria links to Rfam database...	0.63	0.58	0.69	266	1116382	147	16	101	30	192
CRW_00589	SSU_rRNA_bacteria links to Rfam database...	0.69	0.62	0.76	277	1094097	130	6	80	44	168
CRW_00590	SSU_rRNA_bacteria links to Rfam database...	0.72	0.67	0.78	303	1119366	134	11	76	47	149
CRW_00591	SSU_rRNA_bacteria links to Rfam database...	0.74	0.68	0.81	303	1098531	115	7	62	46	143
CRW_00598	SSU_rRNA_eukarya links to Rfam database...	0.49	0.46	0.52	226	1665793	276	41	165	70	265
CRW_00758	SSU_rRNA_eukarya links to Rfam database...	0.46	0.43	0.48	207	1640338	292	44	177	71	276
CRW_00759	SSU_rRNA_eukarya links to Rfam database...	0.42	0.40	0.44	191	1636712	314	43	199	72	290
CRW_00760	SSU_rRNA_eukarya links to Rfam database...	0.46	0.43	0.49	208	1638533	291	37	177	77	278
CRW_00772	SSU_rRNA_bacteria links to Rfam database...	0.60	0.54	0.67	217	945677	148	10	96	42	187
CRW_00789	SSU_rRNA_bacteria links to Rfam database...	0.67	0.60	0.75	268	1137427	134	8	83	43	179
CRW_00795	SSU_rRNA_bacteria links to Rfam database...	0.63	0.57	0.71	224	1152605	176	10	82	84	170
CRW_00849	SSU_rRNA_bacteria links to Rfam database...	0.61	0.55	0.68	260	1117878	154	17	105	32	210
CRW_00997	SSU_rRNA_bacteria links to Rfam database...	0.74	0.69	0.79	322	1135872	121	12	72	37	142
CRW_01153	SSU_rRNA_eukarya links to Rfam database...	0.44	0.42	0.46	211	1606072	295	46	199	50	292
CRW_01171	SSU_rRNA_eukarya links to Rfam database...	0.48	0.45	0.51	229	1593556	274	47	173	54	277
CRW_01300	SSU_rRNA_eukarya links to Rfam database...	0.47	0.45	0.50	230	1693258	286	45	187	54	285
PDB_00703	SSU_rRNA_bacteria links to Rfam database...	0.69	0.60	0.79	295	1073472	114	10	68	36	200
PDB_00854	SSU_rRNA_bacteria links to Rfam database...	0.62	0.51	0.75	274	1500415	142	2	87	53	261
PDB_01088	SSU_rRNA_bacteria links to Rfam database...	0.66	0.56	0.78	308	1471077	135	7	78	50	239
PDB_01103	SSU_rRNA_bacteria links to Rfam database...	0.61	0.52	0.71	293	1606118	156	16	101	39	269
PDB_01105	SSU_rRNA_bacteria links to Rfam database...	0.64	0.54	0.75	291	1433583	134	3	94	37	249
PDB_01120	SSU_rRNA_bacteria links to Rfam database...	0.66	0.57	0.76	302	1204732	134	11	83	40	225
PDB_01273	SSU_rRNA_bacteria links to Rfam database...	0.69	0.60	0.79	294	1117886	120	10	70	40	197

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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 MXScarna(20) - scored lower in this pairwise comparison

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

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