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)		ProbKnot
MCC	0.726	>	0.408
Average MCC ± 95% Confidence Intervals	0.718 ± 0.036	>	0.410 ± 0.026
Sensitivity	0.614	>	0.403
Positive Predictive Value	0.860	>	0.412
Total TP	22679	>	14903
Total TN	104344087	>	104334324
Total FP	5560	<	24166
Total FP CONTRA	629	<	3608
Total FP INCONS	3071	<	17631
Total FP COMP	1860	<	2927
Total FN	14285	<	22061
P-value	3.56938820447e-08

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Performance plots

Comparison of performance of CentroidAlifold(20) and ProbKnot. 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 ProbKnot).
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 ProbKnot).
Comparison of average Matthews Correlation Coefficients (MCCs) for CentroidAlifold(20) and ProbKnot. 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 ProbKnot).

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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 ProbKnot - scored lower in this pairwise comparison

1. Total counts & total scores for ProbKnot

Total Base Pair Counts
Total TP	14903
Total TN	104334324
Total FP	24166
Total FP CONTRA	3608
Total FP INCONS	17631
Total FP COMP	2927
Total FN	22061

Total Scores
MCC	0.408
Average MCC ± 95% Confidence Intervals	0.410 ± 0.026
Sensitivity	0.403
Positive Predictive Value	0.412
Nr of predictions	77

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2. Individual counts for ProbKnot [ 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...	0.69	0.68	0.70	312	1085154	184	22	113	49	146
CRW_00034	SSU_rRNA_bacteria links to Rfam database...	0.65	0.64	0.66	305	1141852	193	33	126	34	169
CRW_00048	SSU_rRNA_bacteria links to Rfam database...	0.48	0.46	0.51	215	1170796	225	31	173	21	255
CRW_00054	SSU_rRNA_bacteria links to Rfam database...	0.42	0.41	0.43	186	1107383	267	27	220	20	270
CRW_00059	SSU_rRNA_bacteria links to Rfam database...	0.50	0.48	0.52	225	1172311	230	27	183	20	248
CRW_00061	SSU_rRNA_bacteria links to Rfam database...	0.43	0.42	0.44	201	1181493	284	39	220	25	275
CRW_00068	SSU_rRNA_bacteria links to Rfam database...	0.45	0.43	0.47	198	1108880	243	33	194	16	259
CRW_00096	SSU_rRNA_bacteria links to Rfam database...	0.49	0.48	0.50	222	1178435	246	25	198	23	243
CRW_00140	SSU_rRNA_bacteria links to Rfam database...	0.41	0.40	0.41	185	1135829	286	31	233	22	278
CRW_00141	SSU_rRNA_bacteria links to Rfam database...	0.54	0.52	0.55	248	1201576	229	30	171	28	228
CRW_00150	SSU_rRNA_bacteria links to Rfam database...	0.44	0.42	0.45	198	1152481	263	27	215	21	268
CRW_00152	SSU_rRNA_bacteria links to Rfam database...	0.58	0.56	0.60	265	1179971	202	39	141	22	206
CRW_00166	SSU_rRNA_bacteria links to Rfam database...	0.42	0.41	0.44	190	1190764	263	30	212	21	278
CRW_00173	SSU_rRNA_bacteria links to Rfam database...	0.27	0.26	0.27	115	1082237	320	30	274	16	330
CRW_00177	SSU_rRNA_bacteria links to Rfam database...	0.48	0.46	0.51	219	1178447	241	25	189	27	254
CRW_00196	SSU_rRNA_bacteria links to Rfam database...	0.49	0.48	0.50	229	1207778	250	33	195	22	246
CRW_00230	SSU_rRNA_bacteria links to Rfam database...	0.56	0.53	0.59	255	1198497	206	24	150	32	223
CRW_00245	SSU_rRNA_bacteria links to Rfam database...	0.40	0.40	0.41	179	1105891	278	32	226	20	274
CRW_00248	SSU_rRNA_bacteria links to Rfam database...	0.52	0.52	0.53	250	1218666	257	31	194	32	234
CRW_00250	SSU_rRNA_bacteria links to Rfam database...	0.50	0.50	0.50	238	1198447	265	46	195	24	240
CRW_00256	SSU_rRNA_bacteria links to Rfam database...	0.40	0.40	0.41	185	1192284	296	39	232	25	283
CRW_00270	SSU_rRNA_bacteria links to Rfam database...	0.53	0.53	0.54	241	1111840	228	28	177	23	214
CRW_00271	SSU_rRNA_bacteria links to Rfam database...	0.35	0.33	0.36	154	1122325	292	38	234	20	308
CRW_00273	SSU_rRNA_bacteria links to Rfam database...	0.43	0.41	0.45	183	1085197	235	32	189	14	263
CRW_00275	SSU_rRNA_bacteria links to Rfam database...	0.60	0.58	0.61	266	1114835	193	26	144	23	191
CRW_00277	SSU_rRNA_bacteria links to Rfam database...	0.36	0.35	0.37	157	1110374	282	40	224	18	296
CRW_00278	SSU_rRNA_bacteria links to Rfam database...	0.38	0.36	0.40	162	1129847	266	32	215	19	288
CRW_00279	SSU_rRNA_bacteria links to Rfam database...	0.54	0.52	0.57	243	1179987	211	33	153	25	221
CRW_00280	SSU_rRNA_bacteria links to Rfam database...	0.36	0.35	0.38	158	1117841	277	40	221	16	295
CRW_00281	SSU_rRNA_bacteria links to Rfam database...	0.58	0.56	0.59	260	1144904	208	25	152	31	204
CRW_00284	SSU_rRNA_bacteria links to Rfam database...	0.37	0.35	0.40	159	1131362	267	28	211	28	297
CRW_00285	SSU_rRNA_bacteria links to Rfam database...	0.55	0.53	0.56	244	1117827	214	31	158	25	214
CRW_00289	SSU_rRNA_bacteria links to Rfam database...	0.49	0.48	0.50	228	1189195	264	43	187	34	248
CRW_00298	SSU_rRNA_eukarya links to Rfam database...	0.23	0.24	0.22	119	1620359	466	89	333	44	375
CRW_00301	SSU_rRNA_eukarya links to Rfam database...	0.33	0.34	0.33	177	1761960	439	71	295	73	342
CRW_00306	SSU_rRNA_eukarya links to Rfam database...	0.18	0.19	0.18	86	1445359	473	69	336	68	376
CRW_00310	SSU_rRNA_eukarya links to Rfam database...	0.30	0.31	0.29	160	1805396	450	77	317	56	361
CRW_00326	SSU_rRNA_eukarya links to Rfam database...	0.40	0.41	0.40	207	1627588	371	65	250	56	295
CRW_00330	SSU_rRNA_eukarya links to Rfam database...	0.33	0.34	0.31	178	1988449	473	80	308	85	339
CRW_00332	SSU_rRNA_eukarya links to Rfam database...	0.18	0.19	0.17	90	1769489	491	93	349	49	387
CRW_00333	SSU_rRNA_eukarya links to Rfam database...	0.31	0.31	0.31	157	1891971	430	72	285	73	357
CRW_00345	SSU_rRNA_eukarya links to Rfam database...	0.35	0.35	0.35	173	1586376	380	60	262	58	325
CRW_00346	SSU_rRNA_eukarya links to Rfam database...	0.37	0.38	0.37	188	1584581	368	66	255	47	313
CRW_00348	SSU_rRNA_eukarya links to Rfam database...	0.30	0.30	0.31	149	1615021	383	63	270	50	354
CRW_00358	SSU_rRNA_eukarya links to Rfam database...	0.40	0.40	0.39	202	1674852	365	59	252	54	305
CRW_00366	SSU_rRNA_eukarya links to Rfam database...	0.26	0.27	0.25	130	1579227	438	85	311	42	352
CRW_00370	SSU_rRNA_eukarya links to Rfam database...	0.29	0.30	0.28	150	1640234	427	81	301	45	356
CRW_00371	SSU_rRNA_eukarya links to Rfam database...	0.39	0.39	0.40	191	1611430	345	53	236	56	305
CRW_00372	SSU_rRNA_eukarya links to Rfam database...	0.27	0.27	0.26	136	1625786	435	79	305	51	362
CRW_00379	SSU_rRNA_eukarya links to Rfam database...	0.42	0.43	0.41	229	2126396	414	75	253	86	305
CRW_00386	SSU_rRNA_eukarya links to Rfam database...	0.26	0.27	0.25	138	1750696	459	82	340	37	377
CRW_00403	SSU_rRNA_eukarya links to Rfam database...	0.31	0.31	0.31	143	1606064	418	64	257	97	321
CRW_00411	SSU_rRNA_eukarya links to Rfam database...	0.34	0.35	0.33	172	1614983	394	81	267	46	324
CRW_00414	SSU_rRNA_eukarya links to Rfam database...	0.29	0.30	0.29	149	1665709	429	66	301	62	346
CRW_00466	SSU_rRNA_bacteria links to Rfam database...	0.60	0.59	0.60	272	1116312	211	33	148	30	186
CRW_00589	SSU_rRNA_bacteria links to Rfam database...	0.31	0.30	0.32	135	1094033	316	46	246	24	310
CRW_00590	SSU_rRNA_bacteria links to Rfam database...	0.41	0.39	0.43	176	1119350	259	29	201	29	276
CRW_00591	SSU_rRNA_bacteria links to Rfam database...	0.44	0.44	0.44	198	1098453	275	46	206	23	248
CRW_00598	SSU_rRNA_eukarya links to Rfam database...	0.37	0.38	0.35	186	1665698	397	77	264	56	305
CRW_00758	SSU_rRNA_eukarya links to Rfam database...	0.32	0.32	0.32	155	1640275	399	64	272	63	328
CRW_00759	SSU_rRNA_eukarya links to Rfam database...	0.31	0.31	0.30	151	1636639	423	69	286	68	330
CRW_00760	SSU_rRNA_eukarya links to Rfam database...	0.29	0.30	0.29	146	1638444	427	68	297	62	340
CRW_00772	SSU_rRNA_bacteria links to Rfam database...	0.22	0.22	0.22	90	945593	335	34	283	18	314
CRW_00789	SSU_rRNA_bacteria links to Rfam database...	0.36	0.36	0.37	163	1137340	312	43	240	29	284
CRW_00795	SSU_rRNA_bacteria links to Rfam database...	0.34	0.34	0.33	135	1152513	326	45	228	53	259
CRW_00849	SSU_rRNA_bacteria links to Rfam database...	0.57	0.56	0.58	263	1117810	226	18	169	39	207
CRW_00997	SSU_rRNA_bacteria links to Rfam database...	0.44	0.42	0.46	197	1135851	249	39	191	19	267
CRW_01153	SSU_rRNA_eukarya links to Rfam database...	0.29	0.30	0.28	150	1605991	434	63	324	47	353
CRW_01171	SSU_rRNA_eukarya links to Rfam database...	0.33	0.33	0.33	168	1593497	395	62	278	55	338
CRW_01300	SSU_rRNA_eukarya links to Rfam database...	0.35	0.35	0.36	182	1693209	381	68	261	52	333
PDB_00703	SSU_rRNA_bacteria links to Rfam database...	0.56	0.51	0.61	253	1073430	187	22	140	25	242
PDB_00854	SSU_rRNA_bacteria links to Rfam database...	0.56	0.54	0.58	288	1500280	260	33	177	50	247
PDB_01088	SSU_rRNA_bacteria links to Rfam database...	0.33	0.32	0.34	175	1470956	367	49	290	28	372
PDB_01103	SSU_rRNA_bacteria links to Rfam database...	0.61	0.58	0.64	324	1606022	220	26	156	38	238
PDB_01105	SSU_rRNA_bacteria links to Rfam database...	0.57	0.53	0.62	286	1433506	213	32	147	34	254
PDB_01120	SSU_rRNA_bacteria links to Rfam database...	0.43	0.40	0.47	211	1204677	265	29	211	25	316
PDB_01273	SSU_rRNA_bacteria links to Rfam database...	0.43	0.41	0.45	200	1117813	276	33	214	29	291

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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 ProbKnot - scored lower in this pairwise comparison

1. Total counts & total scores for ProbKnot

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