| Literature DB >> 22307239 |
Mariann Micsinai1, Fabio Parisi, Francesco Strino, Patrik Asp, Brian D Dynlacht, Yuval Kluger.
Abstract
Numerous algorithms have been developed to analyze ChIP-Seq data. However, the complexity of analyzing diverse patterns of ChIP-Seq signals, especially for epigenetic marks, still calls for the development of new algorithms and objective comparisons of existing methods. We developed Qeseq, an algorithm to detect regions of increased ChIP read density relative to background. Qeseq employs critical novel elements, such as iterative recalibration and neighbor joining of reads to identify enriched regions of any length. To objectively assess its performance relative to other 14 ChIP-Seq peak finders, we designed a novel protocol based on Validation Discriminant Analysis (VDA) to optimally select validation sites and generated two validation datasets, which are the most comprehensive to date for algorithmic benchmarking of key epigenetic marks. In addition, we systematically explored a total of 315 diverse parameter configurations from these algorithms and found that typically optimal parameters in one dataset do not generalize to other datasets. Nevertheless, default parameters show the most stable performance, suggesting that they should be used. This study also provides a reproducible and generalizable methodology for unbiased comparative analysis of high-throughput sequencing tools that can facilitate future algorithmic development.Entities:
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Year: 2012 PMID: 22307239 PMCID: PMC3351193 DOI: 10.1093/nar/gks048
Source DB: PubMed Journal: Nucleic Acids Res ISSN: 0305-1048 Impact factor: 16.971
Characterization of the histone modification ChIP-Seq datasets in terms of the number of ChIP and control reads
| Histone modification | ChIP reads | Control reads |
|---|---|---|
| ES.H3K27me3 | 6 537 926 | 715 231 |
| ES.H3K4me3 | 8 850 116 | 715 231 |
| MYO.H3K27me3.GM | 29 694 722 | 32 866 230 |
| MYO.H3K27me3.MT | 28 538 546 | 27 406 448 |
| MYO.H3K36me3.GM | 25 322 796 | 32 866 230 |
Characterization of the qPCR validation sites
| Histone modification | Positives | Negatives | Total | Source |
|---|---|---|---|---|
| ES.H3K27me3 | 17 | 14 | 31 | ( |
| ES.H3K4me3 | 19 | 14 | 33 | ( |
| MYO.H3K27me3.GM | 70 | 30 | 100 | ( |
| MYO.H3K27me3.MT | 65 | 35 | 100 | ( |
| MYO.H3K27me3.GM.VDA | 145 | 52 | 197 | VDA validated sites |
| MYO.H3K36me3.GM.VDA | 71 | 23 | 94 | VDA validated sites |
Figure 1.Sensitivity and specificity in qPCR validated histone modification datasets. Algorithms are in order of publication. A LOESS estimator has been added to facilitate visualization. (A) Specificity statistics of 15 ChIP-Seq algorithms remain almost invariant over time in the range of 0.9–1 in all four histone modification datasets. The minor decrease in specificity in the newer algorithms is due to less restrictive detection procedures that allow a significant improvement in sensitivity (cf. panel B). (B) Sensitivity statistics of 15 ChIP-Seq algorithms shows an increasing trend over time in all four datasets.
Figure 2.Correlation between biased and unbiased AUCROC estimators in qPCR validated histone modification datasets. (A) Estimation of performance using independent validation datasets (MYO.H3K27me3.GM and MYO.H3K27.GM.VDA) derived from the same experiment showed higher reproducibility when using the unbiased AUCROC estimator (black dots). The biased AUCROC statistics (red dots) consistently produced higher estimates for the MYO.H3K27me3.GM. Proximity of a dot to the grey diagonal line indicates that the AUCROC estimates of a given algorithm are similar in two independent validation datasets (B) Heatmap of correlations between performance profiles of six histone modifications. Each profile is a 15D vector representing the performance of the 15 ChIP-Seq algorithms. Colors indicate the degree of correlation, where red is positive correlation, green is negative correlation and white represents no correlation. Strong anti-correlations between performance profiles of different histone marks are observed when we use the biased AUCROC estimator (orange square). In contrast, the use of the unbiased AUCROC estimator leads on average to higher correlations between the performance profiles (blue square).
Figure 3.Comparison of unbiased AUCROC performance estimates in existing and novel qPCR validated histone modification datasets. Algorithms are in order of publication. LOESS estimators have been added to facilitate visualization. (A) AUCROC statistics of the 15 ChIP-Seq algorithms sorted according to their time of publication shows incremental improvements in existing qPCR validated histone modification datasets (MYO.H3K27me3.GM, MYO.H3K27me3.MT, ES.H3K4me3 and ES.H3K27me3). The lines indicate that over time algorithms achieved better performance. (B) AUCROC statistics of the 15 algorithms sorted according their time of publication shows incremental improvements in novel qPCR validated histone modification datasets (MYO.H3K27me3.GM.VDA and MYO.H3K36me3.GM.VDA). The lines indicate that over time algorithms achieved better performance.
Performance analysis for each algorithm using the default settings in histone modification datasets based on unbiased AUCROC statistic
| Datasets/Algorithms | CCAT | ChIPDiff | ERANGE | FindPeaks | FSeq | MACS | PeakSeq | Qeseq | QuEST | RSEG | SICER | SISSRS | SWEMBL | TPIC | W-ChiPeaks |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| MYO.H3k27me3.GM.VDA | 0.8232 | 0.8331 | 0.5038 | 0.8427 | 0.7638 | 0.6583 | 0.6500 | 0.8378 | 0.5011 | 0.8591 | 0.5000 | 0.5089 | 0.8124 | 0.8025 | 0.5085 |
| MYO.H3k36me3.GM.VDA | 0.6223 | 0.6696 | 0.5000 | 0.4610 | 0.6140 | 0.6148 | 0.5483 | 0.6722 | 0.5000 | 0.6217 | 0.6212 | 0.5002 | 0.6037 | 0.6200 | 0.5000 |
| MYO.H3k27me3.GM | 0.8002 | 0.7879 | 0.5003 | 0.7987 | 0.7931 | 0.5980 | 0.6229 | 0.7991 | 0.5000 | 0.7991 | 0.5000 | 0.5010 | 0.7998 | 0.7993 | 0.5046 |
| MYO.H3k27me3.MT | 0.7355 | 0.7340 | 0.5000 | 0.7350 | 0.7128 | 0.5394 | 0.5590 | 0.7319 | 0.5000 | 0.7354 | 0.5000 | 0.5002 | 0.7362 | 0.7355 | 0.5015 |
| ES.H3K4me3 | 0.8413 | 0.8426 | 0.8088 | 0.8738 | 0.9742 | 0.9630 | 0.4951 | 0.9940 | 0.6697 | 0.9972 | 0.9970 | 0.5000 | 0.9032 | 0.9814 | 0.8373 |
| ES.H3K27me3 | 0.5027 | 0.9172 | 0.5826 | 1.0000 | 0.8366 | 0.6757 | 0.7294 | 0.8703 | 0.5551 | 0.9454 | 0.8853 | 0.5000 | 0.8747 | 0.8607 | 0.7185 |
Average performance of each algorithm using the default settings in histone modification datasets based on unbiased AUCROC statistic
| Datasets/Algorithms | CCAT | ChIPDiff | ERANGE | FindPeaks | FSeq | MACS | PeakSeq | Qeseq | QuEST | RSEG | SICER | SISSRS | SWEMBL | TPIC | W-ChiPeaks |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| AVERAGE ALL HISTONE DATASETS | 0.7209 | 0.7974 | 0.5659 | 0.7852 | 0.7824 | 0.6749 | 0.6008 | 0.5377 | 0.8263 | 0.6672 | 0.5017 | 0.7883 | 0.7999 | 0.5951 | |
| AVERAGE VDA DATASETS | 0.7227 | 0.5019 | 0.6518 | 0.6889 | 0.6366 | 0.5991 | 0.5006 | 0.7404 | 0.5606 | 0.5046 | 0.7081 | 0.7112 | 0.5042 | ||
| AVERAGE EXISTING DATASETS | 0.7199 | 0.8204 | 0.5979 | 0.8292 | 0.6940 | 0.6016 | 0.5562 | 0.7206 | 0.5003 | 0.8285 | 0.8442 | 0.6405 |
Summary of parameter space explored for each algorithm
| Algorithms | Parameters explored |
|---|---|
| There are no parameters to change. | |
| We tried to change two parameters: quick-window scan and calibrate peak shift. The output format changed, rendering the results of these parameter changes not applicable to our study. | |
Figure 4.Distribution of lengths of binding events detected by 15 ChIP-Seq algorithms in histone modification datasets. For each algorithm and for each dataset the distribution of site lengths is displayed as a density heatmap. The empirical probability of an event length is shown in greyscale, with darker grey indicating higher probability. Algorithms such as MACS and SISSRs exhibit a short range of event lengths. Other algorithms, such as ChIPDiff and QuEST have a broader spectrum of site lengths. Default settings were used in all algorithms.
Figure 5.Comparison of length scale characteristics of binding events detected by 315 parametric models in MYO.H3K27me3.GM.VDA dataset. For each parametric model the distribution of site lengths is displayed as a density heatmap. The empirical probability of an event length is shown in greyscale, with darker grey indicating higher probability. The parametric variants of each algorithmic model are grouped together to simplify visualization. Most parameters in each algorithm do not affect the length distribution of the detected events.
Figure 6.PCA of the number of detected events and AUCROC performances of 315 ChIP-Seq models in six histone modification datasets. (A and B) Data was projected onto its first two principal components using standard PCA. Each of the 15 ChIP-Seq algorithms is shown with a distinctive color. For each algorithm, there are several trajectories each representing the span of the parametric variants obtained by changing a single parameter. All the trajectories stem from the default setting. (A) PCA was performed on the number of detected binding events. Long trajectories reflect parametric instability as seen for example in, the trajectories of SISSRs, CCAT and ERANGE. (B) PCA was performed on the AUCROC statistics. Algorithms whose performance is stable to fine-tuning of parameters have short trajectories, for example TPIC and SWEMBL.
Figure 7.Biplot of the performances of 315 ChIP-Seq models in six histone modification datasets. Data was projected on its two principal components using standard PCA techniques. In addition, the vectors corresponding to the six histone modification datasets were added as arrows. All parametric models from 15 ChIP-Seq algorithms are represented by dots identifiable by their distinctive colors. In addition, a density heatmap was added to the background and supplied by isoclines at 25% of the total density. The density heatmap was computed using a 2D Gaussian kernel with bandwidth of 0.05 in the principal component units. Few algorithms (RSEG, SWEMBLE and CCAT) correspond to parametric models that occupy small well-defined regions of the PCA space. Other algorithms show a continuous spread of performances (Erange, W-ChIPeaks); others, like SISSRs have multimodal density distributions, as clearly shown by the presence of multiple disconnected circles.
Best performing parameters, values are indicated in brackets
| MYO.H3k27me3.GM.VDA | MYO.H3k36me3.GM.VDA | MYO.H3k27me3.GM | MYO.H3k27me3.MT | ES.H3K4me3 | ES.H3K27me3 | |
|---|---|---|---|---|---|---|
| CCAT | Sliding Window (2000) | Sliding Window (2000) | Sliding Window (5000) | Sliding Window (5000) | Default | Minimum Score ( |
| ChIPDiff | Default | Default | Default | Default | Minimum Fold Change ( | Default |
| ERANGE | Space (1000) | Space (5000) | Space (500) | Space (5000) | Space (500) | Space (500) |
| FindPeaks | Min. Coverage ( | Subpeaks (0.05) | Subpeaks (0.05) | Window ( | Window (100) / Window (50) | Default |
| FSeq | Feature Length (500) | Threshold ( | Threshold ( | Threshold ( | Feature Length (5000) | Threshold ( |
| MACS | M-fold ( | M-fold ( | ||||
| PeakSeq | Max. Gap (2000) | Bin (2000) | Max. Gap (2000) | Max. Gap (2000) | FDR (e − 1) | FDR (e − 1) |
| Qeseq | Default | Default | Default | Default | Default | Default |
| QuEST | Default | Default | Default | Default | Default | Default |
| RSEG | Default | Bin (10000) | Default | Bin (5000) | Default | Default |
| SICER | Default | Window (200) Gap (2000) | Default | Window ( | Default | Window (200) Gap (2000) |
| SISSRS | Window ( | Window ( | Window ( | Window ( | ||
| SWEMBL | Fragment Extension (200) | Fragment Extension (200) | Default | Default | Fragment Extension (150) | Fragment Extension (200) |
| TPIC | Width (100) | Default | Width (5000) | Default | Default | Default |
| W-ChiPeaks | Bin (200) FDR (0.95) | Default | Bin (400) FDR (0.95) | Bin (500) FDR (0.95) | Bin (300) FDR (0.95) | Bin (400) FDR (0.95) / Bin (500) FDR (0.95) |
aOnly default settings were tested.
bDefault is the maximal AUCROC and is exactly equal to other parameter settings.
Comparison of default and benchmarked performances in histone modification datasets
| Dataset | Algorithm | Default AUCROC | Max. AUCROC param. | H3.K27 GM-VDA | H3.K36 GM-VDA | H3.K27 GM | H3.K27MT | ES.H3K4 | ES.H3K2 |
|---|---|---|---|---|---|---|---|---|---|
| 0.8232 | 0.8787 | 0.0000 | −0.1938 | −0.0927 | −0.1539 | −0.1670 | −0.2618 | ||
| 0.6223 | 0.6849 | 0.1938 | 0.0000 | 0.1011 | 0.0400 | 0.0268 | −0.0679 | ||
| 0.8002 | 0.8562 | −0.2023 | −0.1768 | 0.0000 | −0.0371 | −0.1646 | −0.2083 | ||
| 0.7355 | 0.8191 | −0.1651 | −0.1397 | 0.0371 | 0.0000 | −0.1274 | −0.1712 | ||
| 0.8413 | 0.8413 | −0.0181 | −0.2190 | −0.0411 | −0.1058 | 0.0000 | −0.3386 | ||
| 0.5027 | 0.6556 | −0.0405 | −0.0124 | 0.1431 | 0.0599 | 0.1595 | 0.0000 | ||
| 0.8331 | 0.8331 | 0.0000 | −0.1635 | −0.0452 | −0.0991 | 0.0095 | 0.0841 | ||
| 0.6696 | 0.6696 | 0.1635 | 0.0000 | 0.1184 | 0.0644 | 0.1731 | 0.2476 | ||
| 0.7879 | 0.7879 | 0.0452 | −0.1184 | 0.0000 | −0.0539 | 0.0547 | 0.1293 | ||
| 0.7340 | 0.7340 | 0.0991 | −0.0644 | 0.0539 | 0.0000 | 0.1087 | 0.1832 | ||
| 0.8426 | 0.9720 | −0.2687 | −0.4425 | −0.2038 | −0.2418 | 0.0000 | −0.1001 | ||
| 0.9172 | 0.9172 | −0.0841 | −0.2476 | −0.1293 | −0.1832 | −0.0745 | 0.0000 | ||
| 0.5038 | 0.5671 | 0.0000 | −0.0672 | −0.0011 | −0.0587 | 0.1681 | −0.0473 | ||
| 0.5000 | 0.6110 | −0.1221 | 0.0000 | −0.0921 | −0.0554 | 0.1158 | −0.0243 | ||
| 0.5003 | 0.5712 | −0.0188 | −0.0715 | 0.0000 | −0.0559 | 0.3057 | 0.2937 | ||
| 0.5000 | 0.5557 | −0.0667 | 0.0554 | −0.0367 | 0.0000 | 0.1712 | 0.0311 | ||
| 0.8088 | 0.8770 | −0.3245 | −0.3772 | −0.3057 | −0.3617 | 0.0000 | −0.0121 | ||
| 0.5826 | 0.8649 | −0.3125 | −0.3652 | −0.2937 | −0.3496 | 0.0120 | 0.0000 | ||
| 0.8427 | 0.8469 | 0.0000 | −0.3916 | −0.0482 | −0.1119 | 0.0283 | 0.1531 | ||
| 0.4610 | 0.7576 | 0.0141 | 0.0000 | 0.0415 | −0.0475 | 0.0654 | 0.2424 | ||
| 0.7987 | 0.7991 | −0.0274 | −0.0415 | 0.0000 | −0.0889 | 0.0239 | 0.2009 | ||
| 0.7350 | 0.8423 | −0.1053 | −0.1348 | −0.0436 | 0.0000 | 0.0419 | 0.1515 | ||
| 0.8738 | 0.8873 | −0.1204 | −0.1868 | −0.0886 | −0.0451 | 0.0000 | 0.1060 | ||
| 1.0000 | 1.0000 | −0.1573 | −0.5390 | −0.2013 | −0.2650 | −0.1262 | 0.0000 | ||
| 0.7638 | 0.8421 | 0.0000 | −0.2281 | −0.0613 | −0.1373 | 0.1294 | −0.0148 | ||
| 0.6140 | 0.6355 | −0.0819 | 0.0000 | 0.1635 | 0.1397 | 0.2359 | 0.2272 | ||
| 0.7931 | 0.7998 | −0.1106 | −0.1808 | 0.0000 | −0.0698 | 0.1206 | 0.0833 | ||
| 0.7128 | 0.7752 | −0.2216 | −0.1397 | 0.0238 | 0.0000 | 0.0962 | 0.0876 | ||
| 0.9742 | 0.9995 | −0.2815 | −0.4974 | −0.2062 | −0.2723 | 0.0000 | −0.1975 | ||
| 0.8366 | 0.8831 | −0.1939 | −0.2641 | −0.0833 | −0.1531 | 0.0373 | 0.0000 | ||
| 0.6583 | 0.6736 | 0.0000 | −0.0549 | −0.1176 | −0.1570 | 0.3139 | 0.1904 | ||
| 0.6148 | 0.6247 | −0.1247 | 0.0000 | −0.1247 | −0.0738 | 0.2774 | 0.2205 | ||
| 0.5980 | 0.6061 | −0.0139 | −0.0147 | 0.0000 | −0.0706 | 0.2222 | 0.0697 | ||
| 0.5394 | 0.5553 | −0.0553 | 0.0693 | −0.0553 | 0.0000 | 0.4136 | 0.2775 | ||
| 0.9630 | 0.9886 | −0.3218 | −0.3726 | −0.4046 | −0.4678 | 0.0000 | −0.1212 | ||
| 0.6757 | 0.8674 | −0.2006 | −0.2514 | −0.2834 | −0.3466 | 0.1212 | 0.0000 | ||
| 0.6500 | 0.7064 | 0.0000 | −0.1877 | 0.0224 | −0.0757 | −0.2064 | 0.0436 | ||
| 0.6229 | 0.7289 | −0.0224 | −0.2101 | 0.0000 | −0.0982 | −0.2289 | 0.0211 | ||
| 0.5590 | 0.6307 | 0.0757 | −0.1119 | 0.0982 | 0.0000 | −0.1307 | 0.1193 | ||
| 0.4951 | 0.9290 | −0.2784 | −0.3803 | −0.2268 | −0.3507 | 0.0000 | −0.1707 | ||
| 0.7294 | 0.7583 | −0.1077 | −0.2096 | −0.0560 | −0.1800 | 0.1707 | 0.0000 | ||
| 0.8378 | 0.8378 | 0.0000 | −0.1656 | −0.0387 | −0.1059 | 0.1562 | 0.0325 | ||
| 0.6722 | 0.6722 | 0.1656 | 0.0000 | 0.1269 | 0.0597 | 0.3218 | 0.1981 | ||
| 0.7991 | 0.7991 | 0.0387 | −0.1269 | 0.0000 | −0.0672 | 0.1949 | 0.0712 | ||
| 0.7319 | 0.7319 | 0.1059 | −0.0597 | 0.0672 | 0.0000 | 0.2621 | 0.1384 | ||
| 0.9940 | 0.9940 | −0.1562 | −0.3218 | −0.1949 | −0.2621 | 0.0000 | −0.1237 | ||
| 0.8703 | 0.8703 | −0.0325 | −0.1981 | −0.0712 | −0.1384 | 0.1237 | 0.0000 | ||
| 0.5011 | 0.5011 | 0.0000 | −0.0011 | −0.0011 | −0.0011 | 0.1685 | 0.0540 | ||
| 0.5000 | 0.5000 | 0.0011 | 0.0000 | 0.0000 | 0.0000 | 0.1697 | 0.0551 | ||
| 0.5000 | 0.5000 | 0.0011 | 0.0000 | 0.0000 | 0.0000 | 0.1696 | 0.0551 | ||
| 0.5000 | 0.5000 | 0.0011 | 0.0000 | 0.0000 | 0.0000 | 0.1697 | 0.0551 | ||
| 0.6697 | 0.6697 | −0.1685 | −0.1697 | −0.1696 | −0.1697 | 0.0000 | −0.1146 | ||
| 0.5551 | 0.5551 | −0.0540 | −0.0551 | −0.0551 | −0.0551 | 0.1146 | 0.0000 | ||
| 0.8591 | 0.8591 | 0.0000 | −0.2374 | −0.0600 | −0.1237 | 0.1381 | 0.0863 | ||
| 0.6217 | 0.7516 | −0.1824 | 0.0000 | 0.0089 | 0.0866 | 0.0370 | 0.1093 | ||
| 0.7991 | 0.7991 | 0.0600 | −0.1773 | 0.0000 | −0.0637 | 0.1981 | 0.1463 | ||
| 0.7354 | 0.8387 | −0.2672 | −0.0927 | −0.0411 | 0.0000 | 0.1273 | 0.0223 | ||
| 0.9972 | 0.9972 | −0.1381 | −0.3754 | −0.1981 | −0.2618 | 0.0000 | −0.0518 | ||
| 0.9454 | 0.9469 | −0.0878 | −0.3252 | −0.1478 | −0.2115 | 0.0503 | −0.0015 | ||
| 0.5000 | 0.5000 | 0.0000 | 0.1212 | 0.0000 | 0.0000 | 0.4970 | 0.3853 | ||
| 0.6212 | 0.7038 | −0.2038 | 0.0000 | −0.2038 | −0.2038 | 0.1803 | 0.2739 | ||
| 0.5000 | 0.5000 | 0.0000 | 0.1212 | 0.0000 | 0.0000 | 0.4970 | 0.3853 | ||
| 0.5000 | 0.7355 | −0.2355 | −0.1337 | −0.2355 | 0.0000 | 0.2569 | 0.1500 | ||
| 0.9970 | 0.9970 | −0.4970 | −0.3757 | −0.4970 | −0.4970 | 0.0000 | −0.1117 | ||
| 0.8853 | 0.9777 | −0.4777 | −0.2739 | −0.4777 | −0.4777 | −0.0936 | 0.0000 | ||
| 0.5089 | 0.5466 | 0.0000 | −0.0372 | −0.0309 | −0.0431 | 0.0860 | 0.0603 | ||
| 0.5002 | 0.5094 | 0.0372 | 0.0000 | 0.0063 | −0.0059 | 0.1232 | 0.0975 | ||
| 0.5010 | 0.5269 | 0.0142 | −0.0266 | 0.0000 | −0.0225 | 0.3081 | 0.1262 | ||
| 0.5002 | 0.5068 | 0.0335 | −0.0066 | 0.0168 | 0.0000 | 0.1746 | 0.1189 | ||
| 0.5000 | 0.8350 | −0.2939 | −0.3347 | −0.3081 | −0.3306 | 0.0000 | −0.1819 | ||
| 0.5000 | 0.6533 | −0.1119 | −0.1478 | −0.1288 | −0.1486 | 0.1517 | 0.0000 | ||
| 0.8124 | 0.9128 | 0.0000 | −0.2938 | −0.1130 | −0.1766 | 0.0426 | −0.0273 | ||
| 0.7998 | 0.7998 | 0.0127 | −0.1960 | 0.0000 | −0.0635 | 0.1034 | 0.0750 | ||
| 0.7362 | 0.7362 | 0.0762 | −0.1325 | 0.0635 | 0.0000 | 0.1669 | 0.1385 | ||
| 0.9032 | 0.9741 | −0.1603 | −0.3691 | −0.1743 | −0.2378 | 0.0000 | −0.0965 | ||
| 0.8747 | 0.8855 | 0.0273 | −0.2665 | −0.0857 | −0.1493 | 0.0699 | 0.0000 | ||
| 0.8025 | 0.8811 | 0.0000 | −0.2738 | −0.0861 | −0.1745 | 0.0830 | −0.0477 | ||
| 0.6200 | 0.6200 | 0.1825 | 0.0000 | 0.1793 | 0.1155 | 0.3614 | 0.2407 | ||
| 0.7993 | 0.8042 | −0.0253 | −0.1976 | 0.0000 | −0.0812 | 0.1599 | 0.0291 | ||
| 0.7355 | 0.7355 | 0.0670 | −0.1155 | 0.0637 | 0.0000 | 0.2458 | 0.1251 | ||
| 0.9814 | 0.9814 | −0.1789 | −0.3614 | −0.1821 | −0.2458 | 0.0000 | −0.1207 | ||
| 0.8607 | 0.8607 | −0.0582 | −0.2407 | −0.0614 | −0.1251 | 0.1207 | 0.0000 | ||
| 0.5085 | 0.5136 | 0.0000 | −0.0136 | −0.0030 | −0.0125 | 0.3147 | 0.2409 | ||
| 0.5000 | 0.5000 | 0.0085 | 0.0000 | 0.0046 | 0.0015 | 0.3373 | 0.2185 | ||
| 0.5046 | 0.5140 | −0.0035 | −0.0140 | 0.0000 | −0.0045 | 0.3227 | 0.2881 | ||
| 0.5015 | 0.5100 | 0.0000 | −0.0100 | 0.0029 | 0.0000 | 0.3208 | 0.2921 | ||
| 0.8373 | 0.8458 | −0.3354 | −0.3458 | −0.3401 | −0.3386 | 0.0000 | −0.0558 | ||
| 0.7185 | 0.8020 | −0.2921 | −0.3020 | −0.2892 | −0.2921 | 0.0288 | 0.0000 |