CompaRNA - on-line benchmarks of RNA structure prediction methods

Laboratory of Structural Bioinformatics @ Adam Mickiewicz University in Poznan

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Overview

Metric	PETfold_pre2.0(20)		Sfold
MCC	0.728	>	0.453
Average MCC ± 95% Confidence Intervals	0.730 ± 0.030	>	0.455 ± 0.031
Sensitivity	0.697	>	0.403
Positive Predictive Value	0.760	>	0.510
Total TP	25763	>	14880
Total TN	104336584	<	104341300
Total FP	11045	<	16483
Total FP CONTRA	1367	<	2320
Total FP INCONS	6752	<	11966
Total FP COMP	2926	>	2197
Total FN	11201	<	22084
P-value	3.56938820447e-08

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Performance plots

Comparison of performance of PETfold_pre2.0(20) and Sfold. 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 PETfold_pre2.0(20) and Sfold).
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 PETfold_pre2.0(20) and Sfold).
Comparison of average Matthews Correlation Coefficients (MCCs) for PETfold_pre2.0(20) and Sfold. 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 PETfold_pre2.0(20) and Sfold).

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Performance of PETfold_pre2.0(20) - scored higher in this pairwise comparison

1. Total counts & total scores for PETfold_pre2.0(20)

Total Base Pair Counts
Total TP	25763
Total TN	104336584
Total FP	11045
Total FP CONTRA	1367
Total FP INCONS	6752
Total FP COMP	2926
Total FN	11201

Total Scores
MCC	0.728
Average MCC ± 95% Confidence Intervals	0.730 ± 0.030
Sensitivity	0.697
Positive Predictive Value	0.760
Nr of predictions	77

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2. Individual counts for PETfold_pre2.0(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...	0.89	0.88	0.90	404	1085151	82	10	36	36	54
CRW_00034	SSU_rRNA_bacteria links to Rfam database...	0.82	0.79	0.85	374	1141875	86	17	50	19	100
CRW_00048	SSU_rRNA_bacteria links to Rfam database...	0.84	0.83	0.84	390	1170753	91	18	54	19	80
CRW_00054	SSU_rRNA_bacteria links to Rfam database...	0.84	0.84	0.84	381	1107361	95	17	57	21	75
CRW_00059	SSU_rRNA_bacteria links to Rfam database...	0.84	0.82	0.85	390	1172289	85	17	50	18	83
CRW_00061	SSU_rRNA_bacteria links to Rfam database...	0.84	0.82	0.86	390	1181501	85	16	46	23	86
CRW_00068	SSU_rRNA_bacteria links to Rfam database...	0.84	0.84	0.84	383	1108851	87	16	55	16	74
CRW_00096	SSU_rRNA_bacteria links to Rfam database...	0.85	0.83	0.87	388	1178436	81	12	44	25	77
CRW_00140	SSU_rRNA_bacteria links to Rfam database...	0.85	0.84	0.86	388	1135827	85	15	48	22	75
CRW_00141	SSU_rRNA_bacteria links to Rfam database...	0.83	0.81	0.85	387	1201568	90	18	52	20	89
CRW_00150	SSU_rRNA_bacteria links to Rfam database...	0.83	0.82	0.85	381	1152473	90	16	51	23	85
CRW_00152	SSU_rRNA_bacteria links to Rfam database...	0.83	0.81	0.85	381	1179968	89	17	50	22	90
CRW_00166	SSU_rRNA_bacteria links to Rfam database...	0.85	0.83	0.86	387	1190748	90	11	50	29	81
CRW_00173	SSU_rRNA_bacteria links to Rfam database...	0.80	0.80	0.81	354	1082220	107	18	64	25	91
CRW_00177	SSU_rRNA_bacteria links to Rfam database...	0.82	0.81	0.84	382	1178424	101	17	57	27	91
CRW_00196	SSU_rRNA_bacteria links to Rfam database...	0.83	0.81	0.85	387	1207780	91	16	52	23	88
CRW_00230	SSU_rRNA_bacteria links to Rfam database...	0.85	0.82	0.87	394	1198472	81	16	44	21	84
CRW_00245	SSU_rRNA_bacteria links to Rfam database...	0.87	0.86	0.87	390	1105881	79	17	40	22	63
CRW_00248	SSU_rRNA_bacteria links to Rfam database...	0.84	0.82	0.87	396	1218684	87	15	46	26	88
CRW_00250	SSU_rRNA_bacteria links to Rfam database...	0.83	0.80	0.85	382	1198478	88	15	51	22	96
CRW_00256	SSU_rRNA_bacteria links to Rfam database...	0.83	0.81	0.85	379	1192296	87	16	49	22	89
CRW_00270	SSU_rRNA_bacteria links to Rfam database...	0.86	0.86	0.86	390	1111833	85	15	48	22	65
CRW_00271	SSU_rRNA_bacteria links to Rfam database...	0.82	0.81	0.84	375	1122302	98	14	60	24	87
CRW_00273	SSU_rRNA_bacteria links to Rfam database...	0.84	0.84	0.84	375	1085156	94	14	56	24	71
CRW_00275	SSU_rRNA_bacteria links to Rfam database...	0.86	0.86	0.87	391	1114821	86	15	44	27	66
CRW_00277	SSU_rRNA_bacteria links to Rfam database...	0.84	0.84	0.85	379	1110348	89	16	52	21	74
CRW_00278	SSU_rRNA_bacteria links to Rfam database...	0.84	0.82	0.86	371	1129827	85	12	46	27	79
CRW_00279	SSU_rRNA_bacteria links to Rfam database...	0.82	0.81	0.84	377	1179965	98	18	56	24	87
CRW_00280	SSU_rRNA_bacteria links to Rfam database...	0.85	0.85	0.86	384	1117811	93	15	50	28	69
CRW_00281	SSU_rRNA_bacteria links to Rfam database...	0.84	0.82	0.85	381	1144895	89	14	51	24	83
CRW_00284	SSU_rRNA_bacteria links to Rfam database...	0.84	0.82	0.85	376	1131317	94	16	51	27	80
CRW_00285	SSU_rRNA_bacteria links to Rfam database...	0.84	0.83	0.86	380	1117816	91	17	47	27	78
CRW_00289	SSU_rRNA_bacteria links to Rfam database...	0.83	0.81	0.85	386	1189199	95	13	55	27	90
CRW_00298	SSU_rRNA_eukarya links to Rfam database...	0.58	0.54	0.63	267	1620473	212	31	129	52	227
CRW_00301	SSU_rRNA_eukarya links to Rfam database...	0.49	0.46	0.53	240	1762048	265	37	178	50	279
CRW_00306	SSU_rRNA_eukarya links to Rfam database...	0.60	0.57	0.63	263	1445430	208	26	131	51	199
CRW_00310	SSU_rRNA_eukarya links to Rfam database...	0.55	0.51	0.59	264	1805500	238	32	154	52	257
CRW_00326	SSU_rRNA_eukarya links to Rfam database...	0.64	0.60	0.68	299	1627669	193	22	120	51	203
CRW_00330	SSU_rRNA_eukarya links to Rfam database...	0.55	0.51	0.60	262	1988577	231	26	150	55	255
CRW_00332	SSU_rRNA_eukarya links to Rfam database...	0.51	0.48	0.56	227	1769613	237	20	161	56	250
CRW_00333	SSU_rRNA_eukarya links to Rfam database...	0.48	0.43	0.53	220	1892069	260	36	160	64	294
CRW_00345	SSU_rRNA_eukarya links to Rfam database...	0.56	0.53	0.60	262	1586434	224	28	147	49	236
CRW_00346	SSU_rRNA_eukarya links to Rfam database...	0.59	0.55	0.63	278	1584648	213	32	132	49	223
CRW_00348	SSU_rRNA_eukarya links to Rfam database...	0.58	0.54	0.61	272	1615059	225	29	143	53	231
CRW_00358	SSU_rRNA_eukarya links to Rfam database...	0.56	0.53	0.60	269	1674914	228	29	153	46	238
CRW_00366	SSU_rRNA_eukarya links to Rfam database...	0.60	0.56	0.64	269	1579331	210	25	128	57	213
CRW_00370	SSU_rRNA_eukarya links to Rfam database...	0.60	0.57	0.64	288	1640315	211	20	143	48	218
CRW_00371	SSU_rRNA_eukarya links to Rfam database...	0.58	0.55	0.60	275	1611455	232	17	163	52	221
CRW_00372	SSU_rRNA_eukarya links to Rfam database...	0.59	0.55	0.62	275	1625865	212	23	143	46	223
CRW_00379	SSU_rRNA_eukarya links to Rfam database...	0.58	0.52	0.65	277	2126526	213	25	125	63	257
CRW_00386	SSU_rRNA_eukarya links to Rfam database...	0.49	0.46	0.53	236	1750812	258	28	180	50	279
CRW_00403	SSU_rRNA_eukarya links to Rfam database...	0.53	0.52	0.54	240	1606084	283	31	173	79	224
CRW_00411	SSU_rRNA_eukarya links to Rfam database...	0.58	0.54	0.61	269	1615064	222	21	149	52	227
CRW_00414	SSU_rRNA_eukarya links to Rfam database...	0.57	0.53	0.62	263	1665801	210	25	136	49	232
CRW_00466	SSU_rRNA_bacteria links to Rfam database...	0.85	0.85	0.85	388	1116310	90	13	54	23	70
CRW_00589	SSU_rRNA_bacteria links to Rfam database...	0.84	0.82	0.86	367	1094034	98	8	51	39	78
CRW_00590	SSU_rRNA_bacteria links to Rfam database...	0.87	0.84	0.89	381	1119329	87	4	42	41	71
CRW_00591	SSU_rRNA_bacteria links to Rfam database...	0.85	0.84	0.86	373	1098469	103	7	54	42	73
CRW_00598	SSU_rRNA_eukarya links to Rfam database...	0.54	0.51	0.58	250	1665793	234	28	154	52	241
CRW_00758	SSU_rRNA_eukarya links to Rfam database...	0.57	0.54	0.61	263	1640333	241	27	143	71	220
CRW_00759	SSU_rRNA_eukarya links to Rfam database...	0.56	0.53	0.59	254	1636715	232	18	158	56	227
CRW_00760	SSU_rRNA_eukarya links to Rfam database...	0.53	0.49	0.57	239	1638533	247	16	167	64	247
CRW_00772	SSU_rRNA_bacteria links to Rfam database...	0.78	0.76	0.80	306	945618	127	7	69	51	98
CRW_00789	SSU_rRNA_bacteria links to Rfam database...	0.82	0.80	0.85	357	1137365	108	8	56	44	90
CRW_00795	SSU_rRNA_bacteria links to Rfam database...	0.79	0.76	0.82	301	1152552	149	5	63	81	93
CRW_00849	SSU_rRNA_bacteria links to Rfam database...	0.80	0.78	0.82	366	1117816	101	14	64	23	104
CRW_00997	SSU_rRNA_bacteria links to Rfam database...	0.85	0.84	0.85	389	1135822	85	16	51	18	75
CRW_01153	SSU_rRNA_eukarya links to Rfam database...	0.59	0.56	0.63	283	1606076	220	25	144	51	220
CRW_01171	SSU_rRNA_eukarya links to Rfam database...	0.52	0.48	0.56	245	1593566	240	31	163	46	261
CRW_01300	SSU_rRNA_eukarya links to Rfam database...	0.60	0.55	0.67	283	1693295	193	17	125	51	232
PDB_00703	SSU_rRNA_bacteria links to Rfam database...	0.78	0.72	0.84	355	1073423	101	6	61	34	140
PDB_00854	SSU_rRNA_bacteria links to Rfam database...	0.75	0.68	0.84	363	1500344	118	10	61	47	172
PDB_01088	SSU_rRNA_bacteria links to Rfam database...	0.74	0.65	0.83	357	1471042	115	5	66	44	190
PDB_01103	SSU_rRNA_bacteria links to Rfam database...	0.75	0.66	0.85	373	1606088	99	8	59	32	189
PDB_01105	SSU_rRNA_bacteria links to Rfam database...	0.75	0.68	0.84	366	1433533	107	4	68	35	174
PDB_01120	SSU_rRNA_bacteria links to Rfam database...	0.78	0.72	0.85	378	1204681	101	9	60	32	149
PDB_01273	SSU_rRNA_bacteria links to Rfam database...	0.78	0.73	0.84	358	1117834	110	9	59	42	133

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Performance of Sfold - scored lower in this pairwise comparison

1. Total counts & total scores for Sfold

Total Base Pair Counts
Total TP	14880
Total TN	104341300
Total FP	16483
Total FP CONTRA	2320
Total FP INCONS	11966
Total FP COMP	2197
Total FN	22084

Total Scores
MCC	0.453
Average MCC ± 95% Confidence Intervals	0.455 ± 0.031
Sensitivity	0.403
Positive Predictive Value	0.510
Nr of predictions	77

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2. Individual counts for Sfold [ 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...	0.80	0.77	0.83	352	1085176	112	13	60	39	106
CRW_00034	SSU_rRNA_bacteria links to Rfam database...	0.65	0.64	0.66	304	1141856	180	27	129	24	170
CRW_00048	SSU_rRNA_bacteria links to Rfam database...	0.50	0.45	0.54	213	1170824	198	17	161	20	257
CRW_00054	SSU_rRNA_bacteria links to Rfam database...	0.48	0.43	0.54	195	1107453	185	23	145	17	261
CRW_00059	SSU_rRNA_bacteria links to Rfam database...	0.54	0.49	0.60	232	1172361	169	19	134	16	241
CRW_00061	SSU_rRNA_bacteria links to Rfam database...	0.49	0.45	0.54	215	1181555	193	31	152	10	261
CRW_00068	SSU_rRNA_bacteria links to Rfam database...	0.48	0.43	0.53	196	1108938	184	19	152	13	261
CRW_00096	SSU_rRNA_bacteria links to Rfam database...	0.59	0.55	0.63	258	1178469	180	16	137	27	207
CRW_00140	SSU_rRNA_bacteria links to Rfam database...	0.66	0.60	0.73	280	1135893	125	10	95	20	183
CRW_00141	SSU_rRNA_bacteria links to Rfam database...	0.63	0.57	0.70	272	1201636	139	16	101	22	204
CRW_00150	SSU_rRNA_bacteria links to Rfam database...	0.40	0.37	0.44	171	1152531	233	30	189	14	295
CRW_00152	SSU_rRNA_bacteria links to Rfam database...	0.67	0.61	0.74	287	1180029	118	21	79	18	184
CRW_00166	SSU_rRNA_bacteria links to Rfam database...	0.54	0.47	0.61	221	1190832	160	15	128	17	247
CRW_00173	SSU_rRNA_bacteria links to Rfam database...	0.36	0.32	0.39	144	1082291	233	16	205	12	301
CRW_00177	SSU_rRNA_bacteria links to Rfam database...	0.45	0.41	0.50	195	1178491	206	27	167	12	278
CRW_00196	SSU_rRNA_bacteria links to Rfam database...	0.47	0.44	0.50	210	1207811	232	23	191	18	265
CRW_00230	SSU_rRNA_bacteria links to Rfam database...	0.61	0.53	0.70	254	1198565	129	7	100	22	224
CRW_00245	SSU_rRNA_bacteria links to Rfam database...	0.54	0.45	0.66	202	1106023	115	16	87	12	251
CRW_00248	SSU_rRNA_bacteria links to Rfam database...	0.58	0.57	0.59	274	1218677	223	21	169	33	210
CRW_00250	SSU_rRNA_bacteria links to Rfam database...	0.50	0.46	0.54	221	1198516	206	28	161	17	257
CRW_00256	SSU_rRNA_bacteria links to Rfam database...	0.37	0.33	0.42	155	1192370	232	35	180	17	313
CRW_00270	SSU_rRNA_bacteria links to Rfam database...	0.48	0.39	0.59	178	1111985	137	19	104	14	277
CRW_00271	SSU_rRNA_bacteria links to Rfam database...	0.49	0.43	0.57	198	1122402	170	32	119	19	264
CRW_00273	SSU_rRNA_bacteria links to Rfam database...	0.55	0.50	0.61	224	1085232	162	22	123	17	222
CRW_00275	SSU_rRNA_bacteria links to Rfam database...	0.58	0.47	0.73	213	1114978	98	14	66	18	244
CRW_00277	SSU_rRNA_bacteria links to Rfam database...	0.40	0.30	0.54	136	1110544	127	18	97	12	317
CRW_00278	SSU_rRNA_bacteria links to Rfam database...	0.51	0.37	0.70	166	1130018	88	6	66	16	284
CRW_00279	SSU_rRNA_bacteria links to Rfam database...	0.61	0.54	0.69	252	1180052	131	20	92	19	212
CRW_00280	SSU_rRNA_bacteria links to Rfam database...	0.60	0.55	0.66	250	1117881	149	21	108	20	203
CRW_00281	SSU_rRNA_bacteria links to Rfam database...	0.68	0.60	0.77	279	1144977	109	11	74	24	185
CRW_00284	SSU_rRNA_bacteria links to Rfam database...	0.42	0.33	0.53	149	1131480	147	20	111	16	307
CRW_00285	SSU_rRNA_bacteria links to Rfam database...	0.77	0.71	0.83	326	1117866	94	16	52	26	132
CRW_00289	SSU_rRNA_bacteria links to Rfam database...	0.59	0.51	0.68	241	1189298	141	19	95	27	235
CRW_00298	SSU_rRNA_eukarya links to Rfam database...	0.19	0.17	0.21	84	1620496	355	58	262	35	410
CRW_00301	SSU_rRNA_eukarya links to Rfam database...	0.33	0.30	0.36	156	1762064	326	45	238	43	363
CRW_00306	SSU_rRNA_eukarya links to Rfam database...	0.21	0.19	0.24	88	1445476	332	57	229	46	374
CRW_00310	SSU_rRNA_eukarya links to Rfam database...	0.30	0.26	0.35	138	1805554	298	56	202	40	383
CRW_00326	SSU_rRNA_eukarya links to Rfam database...	0.46	0.37	0.56	187	1627778	175	32	113	30	315
CRW_00330	SSU_rRNA_eukarya links to Rfam database...	0.34	0.28	0.41	145	1988661	279	50	159	70	372
CRW_00332	SSU_rRNA_eukarya links to Rfam database...	0.22	0.21	0.24	102	1769589	370	75	255	40	375
CRW_00333	SSU_rRNA_eukarya links to Rfam database...	0.30	0.30	0.31	153	1891989	400	68	275	57	361
CRW_00345	SSU_rRNA_eukarya links to Rfam database...	0.40	0.35	0.45	173	1586487	244	36	175	33	325
CRW_00346	SSU_rRNA_eukarya links to Rfam database...	0.34	0.32	0.36	161	1584648	319	58	223	38	340
CRW_00348	SSU_rRNA_eukarya links to Rfam database...	0.32	0.26	0.40	129	1615184	223	34	156	33	374
CRW_00358	SSU_rRNA_eukarya links to Rfam database...	0.38	0.33	0.43	166	1674980	241	44	175	22	341
CRW_00366	SSU_rRNA_eukarya links to Rfam database...	0.36	0.35	0.36	169	1579286	334	74	224	36	313
CRW_00370	SSU_rRNA_eukarya links to Rfam database...	0.34	0.32	0.36	160	1640327	325	54	225	46	346
CRW_00371	SSU_rRNA_eukarya links to Rfam database...	0.38	0.34	0.42	171	1611504	271	50	185	36	325
CRW_00372	SSU_rRNA_eukarya links to Rfam database...	0.39	0.35	0.45	172	1625925	245	34	175	36	326
CRW_00379	SSU_rRNA_eukarya links to Rfam database...	0.44	0.34	0.58	183	2126636	205	17	117	71	351
CRW_00386	SSU_rRNA_eukarya links to Rfam database...	0.29	0.27	0.31	138	1750806	345	60	252	33	377
CRW_00403	SSU_rRNA_eukarya links to Rfam database...	0.31	0.30	0.32	137	1606104	362	58	229	75	327
CRW_00411	SSU_rRNA_eukarya links to Rfam database...	0.39	0.32	0.47	157	1615171	217	28	147	42	339
CRW_00414	SSU_rRNA_eukarya links to Rfam database...	0.33	0.29	0.38	146	1665840	278	40	199	39	349
CRW_00466	SSU_rRNA_bacteria links to Rfam database...	0.57	0.54	0.61	247	1116358	185	18	142	25	211
CRW_00589	SSU_rRNA_bacteria links to Rfam database...	0.31	0.26	0.36	116	1094139	220	19	186	15	329
CRW_00590	SSU_rRNA_bacteria links to Rfam database...	0.58	0.40	0.84	179	1119542	50	5	30	15	273
CRW_00591	SSU_rRNA_bacteria links to Rfam database...	0.60	0.56	0.65	248	1098523	153	22	110	21	198
CRW_00598	SSU_rRNA_eukarya links to Rfam database...	0.35	0.34	0.37	165	1665773	333	62	225	46	326
CRW_00758	SSU_rRNA_eukarya links to Rfam database...	0.34	0.30	0.38	147	1640380	287	42	197	48	336
CRW_00759	SSU_rRNA_eukarya links to Rfam database...	0.23	0.22	0.25	105	1636722	354	42	276	36	376
CRW_00760	SSU_rRNA_eukarya links to Rfam database...	0.33	0.27	0.39	133	1638613	257	32	177	48	353
CRW_00772	SSU_rRNA_bacteria links to Rfam database...	0.30	0.27	0.34	108	945681	233	27	184	22	296
CRW_00789	SSU_rRNA_bacteria links to Rfam database...	0.40	0.34	0.46	152	1137458	193	30	146	17	295
CRW_00795	SSU_rRNA_bacteria links to Rfam database...	0.19	0.17	0.20	68	1152586	311	44	223	44	326
CRW_00849	SSU_rRNA_bacteria links to Rfam database...	0.50	0.48	0.52	227	1117826	230	18	189	23	243
CRW_00997	SSU_rRNA_bacteria links to Rfam database...	0.59	0.52	0.66	241	1135913	144	19	105	20	223
CRW_01153	SSU_rRNA_eukarya links to Rfam database...	0.37	0.30	0.45	152	1606193	221	35	148	38	351
CRW_01171	SSU_rRNA_eukarya links to Rfam database...	0.33	0.29	0.38	149	1593608	285	55	193	37	357
CRW_01300	SSU_rRNA_eukarya links to Rfam database...	0.39	0.34	0.45	175	1693327	254	42	176	36	340
PDB_00703	SSU_rRNA_bacteria links to Rfam database...	0.52	0.46	0.58	229	1073451	189	12	153	24	266
PDB_00854	SSU_rRNA_bacteria links to Rfam database...	0.54	0.49	0.60	263	1500337	220	22	156	42	272
PDB_01088	SSU_rRNA_bacteria links to Rfam database...	0.38	0.32	0.47	173	1471098	222	33	166	23	374
PDB_01103	SSU_rRNA_bacteria links to Rfam database...	0.56	0.50	0.63	280	1606082	191	20	146	25	282
PDB_01105	SSU_rRNA_bacteria links to Rfam database...	0.60	0.53	0.67	288	1433540	169	14	129	26	252
PDB_01120	SSU_rRNA_bacteria links to Rfam database...	0.55	0.44	0.70	230	1204799	110	12	87	11	297
PDB_01273	SSU_rRNA_bacteria links to Rfam database...	0.50	0.46	0.54	227	1117836	223	19	178	26	264

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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 PETfold_pre2.0(20) - scored higher in this pairwise comparison

1. Total counts & total scores for PETfold_pre2.0(20)

2. Individual counts for PETfold_pre2.0(20) [ download as .csv ]

Performance of Sfold - scored lower in this pairwise comparison

1. Total counts & total scores for Sfold

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