Results
Four methods were applied to the NARAC dataset: the individual SNP approach and three haplotype block methods. The three block methods were FGT, CIT, and SSLD. The measured parameter was the P -value after Bonferroni correction. The three haplotype block methods were compared on the basis of the block size (in bp or number of SNPs), number of blocks, percentage of uncovered SNPs, percentage of significant blocks, percentage of significant haplotypes, and number of associated SNPs.
The test algorithms were applied on an Intel Core i7-4720HQ 2.6 GHz system with 16 GB of RAM. Table S1 lists the processing time for each program. The total working time for all Chrs was 3353 min (approximately 56 h). Table S2 shows the significance level after Bonferroni correction for multiple comparisons (0.05/total number of comparisons). The results related to the haplotype block methods are shown in Tables S3–S24 . FGT partitioned the twenty-two Chrs into more blocks (99,856 blocks) than CIT (93,422 blocks) and SSLD (86,179 blocks). On average, the SSLD blocks included more SNPs per Chr (5 SNPs) than FGT (4 SNPs) and CIT (3 SNPs).
As shown in Table 1 , the median block size per Chr was larger for SSLD (12,046 bp) than for FGT (8328 bp) and CIT (7368 bp), confirming the greater genomic coverage by SSLD blocks. These results were checked for significance using Kruskal–Wallis test by ranks. The Kruskal–Wallis test showed the presence of statistically significant difference in the distribution of the median block size among the three methods ( P -value = 1.39 × 10 −09 ). Using Wilcoxon rank sum test, the differences between (FGT and SSLD), (CIT and SSLD), and (CIT and FGT) were statistically significant ( P -values = 1.986 × 10 −07 , 1.515 × 10 −08 , and 0.009, respectively). Table 1 Results of the median block size (in bp) by all three block methods for the general blocks and the significantly associated blocks with RA. Chr no. CIT (General) FGT (General) SSLD (General) CIT (Significant) FGT (Significant) SSLD (Significant) 1 8489 9547 13,549 64,634 47,700 34,467 2 8495 9645 14,342 24,123 11,756 23,312 3 7938 9240 13,544 7513 11,854 13,800 4 9947 11,083 13,544 3279 3279 0 5 8641 9697 14,102 22,052 15,381 18,456 6 8457 9583 13,944 8672 7448 10,123 7 8235 9008 13,869 27,949 4326 32,616 8 7149 7971 12,262 15,280 14,404 10,115 9 6324 7166 10,297 10,662 15,473 13,315 10 7464 8392 12,231 2462 669 9719 11 7764 8634 12,455 9746 9504 0 12 8043 8898 13,281 5705 5705 10,091 13 8346 9134 13,410 9913 4663 32,705 14 7458 8443 12,747 18,225 12,316 18,225 15 6151 7336 10,451 9321 11,213 14,822 16 4912 5562 8984 24,155 6893 64,712 17 6263 7535 9997 12,690 57,213 18,594 18 6811 7962 11,379 0 8210 11,265 19 6760 7930 10,833 9571 10,633 18,621 20 6413 6933 10,563 7448 6133 21,323 21 6784 7552 10,871 13,020 11,817 4704 22 5272 5986 8381 9298 10,650 24,936
Results of the median block size (in bp) by all three block methods for the general blocks and the significantly associated blocks with RA.
Although, SSLD produced the lowest number of blocks, due to its median block size and median number of SNPs within each block, 95.68% of the genotyped SNPs were localized with SSLD, compared to 87.74% with FGT and 77.88% with CIT. Accordingly, the density of the genotyped SNPs was sufficient for haplotype association mapping. The lowest number of studied SNPs needed for GWASs is 100,000 [15] which was attained by the four methods. Considerable variation in the haplotype block structure across the twenty-two Chrs was uncovered, with block sizes ranging from 2 bp (for the three methods) to 498,545 bp for FGT, 498,091 bp for SSLD, and 499,937 bp for CIT.
FGT generated more significant haplotypes (437 haplotypes) than CIT (396 haplotypes) and SSLD (383 haplotypes) for the twenty-two Chrs. As shown in Tables S3–S24 , the average percentage of significant blocks in the total number of blocks per Chr was higher for FGT (0.248%) than for CIT (0.241%) and SSLD (0.226%). Fig. 3 shows the significant blocks obtained with the three haplotype block methods for the twenty-two Chrs. For each Chr, the total number of significant blocks, the total number of associated SNPs, and the total sizes of the significant blocks (in bp) are shown in Fig. 3 a–c respectively. Fig. 3 Comparison of the RA-associated results obtained by the three haplotype block partitioning methods. (a) The total number of significant blocks for each Chr. (b) The total number of associated SNPs for each Chr. (c) The total significant blocks size in bp for each Chr.
Comparison of the RA-associated results obtained by the three haplotype block partitioning methods. (a) The total number of significant blocks for each Chr. (b) The total number of associated SNPs for each Chr. (c) The total significant blocks size in bp for each Chr.
On average, the significant SSLD blocks included more SNPs per Chr (6 SNPs) than the significant FGT (4 SNPs) and CIT (4 SNPs) blocks. The median significant block size for the twenty-two Chrs was larger for SSLD (32,550 bp) than for CIT (14,350 bp) and FGT (13,055 bp). These results were checked for significance using Kruskal–Wallis test by ranks. The difference among the three groups determined using Kruskal–Wallis was not statistically significant ( P -value = 0.077).
The minimum significant block size for the twenty-two Chrs was larger for SSLD (52 bp for Chr 8) than for FGT (26 bp for Chr 6) and CIT (15 bp for Chr 11). The maximum significant block size was larger for SSLD (344,667 bp for Chr 1) than for FGT (318,113 bp for Chr 3) and CIT (209,237 bp for Chr 6). The significant SSLD blocks included more associated SNPs (1831 SNPs) than the significant FGT (1551 SNPs) and CIT (1516 SNPs) blocks. In addition, the number of associated SNPs determined by the individual SNP approach was 541, as shown in Table 2 . The number of significant SNPs discovered by only the SSLD method (450 SNPs) was greater than that by the CIT (159 SNPs), FGT (156 SNPs), and individual SNP (65 SNPs) methods, as shown in Fig. 4 . Table 2 Results of the individual SNP approach compared to all three block methods. Chr no. Total no. of significant SNPs obtained by the individual SNP method No. of significant SNPs obtained by only the individual SNP method No. of significant SNPs obtained by all three block methods No. of significant SNPs obtained by all four methods 1 4 3 8 1 2 2 2 0 0 3 5 3 7 0 4 5 2 0 0 5 6 4 8 2 6 432 12 916 367 7 7 3 2 0 8 11 3 14 1 9 11 4 16 7 10 5 2 0 0 11 2 1 0 0 12 3 1 6 0 13 0 0 0 0 14 5 2 11 1 15 3 3 5 0 16 7 5 0 0 17 4 2 11 0 18 3 1 0 0 19 5 2 13 2 20 8 5 3 1 21 7 2 0 0 22 6 3 1 1 Fig. 4 Number of RA biomarkers detected by each method – “all” biomarkers detected by the method or detected “only” by one method.
Results of the individual SNP approach compared to all three block methods.
Number of RA biomarkers detected by each method – “all” biomarkers detected by the method or detected “only” by one method.
Fig. 5 shows the associations across the entire genome, illustrating the big data challenge. The alternating colours (blue and red) distinguish between the end of one Chr and the start of the next Chr. The lower horizontal line in Fig. 5 represents the threshold for suggestive associations (−log 10 (10 −5 )), while the higher line represents the genome-wide significance threshold (−log 10 (5 × 10 −8 )). The associated SNPs are highlighted in green. As expected, most of the associated SNPs on Chr 6 showed highly significant associations with RA susceptibility ( P -values < 0.0001). In contrast, none of the SNPs on Chr 13 showed any association with RA. Chr 6 contained most of the known genetic biomarkers for RA. The top SNP (rs660895) in the human leukocyte antigen (HLA) region (32,685,358 bp), representing the HLA-DRB1/HLA-DQA1 , had the lowest P -value (1.03 × 10 −113 ), as previously reported [22] , [23] , [24] , [25] . Fig. 5 Manhattan plot showing the associations between the whole NARAC SNPs and RA susceptibility using the individual SNP approach. The genes with P -values lower than the genome-wide significance threshold are shown above the plot area.
Manhattan plot showing the associations between the whole NARAC SNPs and RA susceptibility using the individual SNP approach. The genes with P -values lower than the genome-wide significance threshold are shown above the plot area.
Discussion
In this study, 509,413 SNPs were used to test the association with RA susceptibility in the NARAC dataset. The examined SNPs belonged to twenty-two autosomes, providing a large data domain. The surveyed SNPs of the NARAC dataset were dense enough for examination by haplotype block methods. Four methods were applied to assign the associations (CIT, FGT, SSLD, and the individual SNP approach).
The aim was to test the NARAC dataset to determine whether haplotype block methods or a single-locus approach alone can sufficiently identify the significant biomarkers associated with RA. This research failed to select the best method because each method resulted in significant findings that were not detected using any of the other methods. The individual SNP, CIT, FGT, and SSLD methods exclusively detected 65, 159, 156, and 450 SNPs respectively. Table S25 shows the SNP IDs that were uniquely identified by each method. These findings were in line with Shim et al.’s (although they did not test the SSLD method) conclusion that both the individual SNP approach and the haplotype block methods should be applied to discover valuable associations in the NARAC dataset [16] .
As shown in Table 2 , the 383 SNPs that were determined to be significantly associated with RA susceptibility by the individual SNP approach and the haplotype block methods represent good candidates for further investigation. In addition, 1021 RA-associated SNPs were detected by all three haplotype block methods and deserve greater attention. The SSLD method detected more significant SNPs (1831 SNPs) than the FGT (1551 SNPs), CIT (1516 SNPs), and individual SNP (541 SNPs) methods potentially because SSLD does not consider the LD between intermediate SNPs. Therefore, the SSLD method is the least conservative at including SNPs inside the haplotype blocks.
The biomarkers identified by the individual SNP approach with P -values lower than the genome-wide significance threshold (shown in Fig. 5 ) are given in Table 3 with their corresponding haplotype blocks. Three hundred and twenty biomarkers from Chr six passed the genome-wide significance threshold (data not shown). The SNPs from Chrs 11, 13, 15, 19, and 21 failed to pass the genome-wide significance threshold. Five of the seven biomarkers from Chr 9 were members of a block that was detected by all three block methods. This finding emphasized the association of the PHF19-TRAF1-C5 region with RA [26] . Table 3 The highly significant SNPs (with P -values lower than the genome-wide significance threshold) discovered by the individual SNP approach with the corresponding haplotype blocks. SNP ID Chr Position (bp) Assoc. Allele a AAF b (Case, Control) P -value c Gene/Nearest Genes Haplotype Block (Method, P -value c , No. of SNPs in Block) Haplotype Block Position (bp) (Start, End, Size) Previously Studied in rs2493291 1 3,352,541 G 0.956, 0.881 1.56 E-14 PRDM16 Not detected by any method – [28] rs2476601 1 114,089,610 A 0.155, 0.084 1.12 E-12 PTPN22 FGT, 8.5 E-13, 8 114075501, 114132504, 57,004 [22] , [24] , [25] , [29] , [30] , [31] , [32] , [33] CIT, 1.01 E-11, 10 114050631, 114141503, 90,873 SSLD, 1.03 E-10, 33 113787838, 114132504, 344,667 rs12467084 2 37,860,221 G 0.994, 0.964 1.12 E-09 CDC42EP3/FAM82A1 Not detected by any method – – rs6752643 2 198,949,233 G 0.989, 0.956 2.94 E-09 PLCL1/SATB2 Not detected by any method – – rs11915402 3 58,957,115 G 0.995, 0.956 8.43 E-13 C3orf67 FGT, 1.51 E-07, 20 58754521, 59072633, 318,113 – SSLD, 2.51 E-11, 9 58957115, 59057595, 100,481 rs512244 4 12,775,151 G 0.195, 0.125 3.7 E-09 HS3ST1/HSP90AB2P Not detected by any method – [22] , [31] rs17604670 4 113,564,881 G 0.966, 0.923 3.84 E-08 TIFA Not detected by any method – – rs2278600 5 71,792,426 G 0.930, 0.865 3.22 E-10 ZNF366 Not detected by any method – – rs6596147 5 133,075,674 G 0.820, 0.738 1.77 E-09 FSTL4/C5orf15 FGT, 3.51 E-06, 9 133065358, 133094704, 29,347 [32] , [33] , [34] , [35] CIT, 2.95 E-06, 9 133057095, 133094704, 37,610 SSLD, 2.1 E-07, 6 133075674, 133094129, 18,456 rs2306848 7 129,556,365 G 0.990, 0.948 5.95 E-12 CPA4 Not detected by any method – – rs1830035 7 63,170,795 A 0.996, 0.963 1.47 E-11 ZNF679 SSLD, 3.6 E-11, 4 63138417, 63170795, 32,379 – rs10275421 7 100,536,496 G 0.991, 0.960 8.12 E-09 FIS1/RABL5 SSLD, 7.17 E-08, 2 100522057, 100536496, 14,440 – rs11785995 8 131,021,293 G 0.982, 0.938 2.18 E-10 FAM49B Not detected by any method – – rs9785133 8 20,402,898 G 0.916, 0.860 3.9 E-08 LZTS1/LOC286114 FGT, 1.21 E-07, 6 20385189, 20404428, 19,240 [34] rs872863 9 123,233,908 G 0.993, 0.940 2.25 E-16 DENND1A Not detected by any method – [36] rs7854383 9 81,666,969 G 0.959, 0.906 1.42 E-09 TLE1/FAM75D5 FGT, 1.69 E-08, 2 81666969, 81670581, 3613 [37] CIT, 1.08 E-07, 2 81662684, 81666969, 4286 SSLD, 1.21 E-07, 3 81662684, 81670581, 7898 rs2900180 9 120,785,936 A 0.390, 0.303 6.24 E-09 TRAF1/C5 FGT, 4.66 E-08, 14 120720054, 120810962, 90,909 [26] , [34] , [36] , [38] , [39] , [40] , [41] , [42] , [43] , [44] CIT, 8.03 E-08, 8 120720054, 120807548, 87,495 SSLD, 4.5 E-08, 12 120720054, 120807548, 87,495 rs3761847 9 120,769,793 G 0.468, 0.380 1.24 E-08 TRAF1 FGT, 4.66 E-08, 14 120720054, 120810962, 90,909 [26] , [34] , [40] , [42] , [43] , [44] , [45] , [46] , [47] , [48] , [49] , [50] , [51] CIT, 8.03 E-08, 8 120720054, 120807548, 87,495 SSLD, 4.5 E-08, 12 120720054, 120807548, 87,495 rs881375 9 120,732,452 A 0.388, 0.304 2.27 E-08 PHF19/TRAF1 FGT, 4.66 E-08, 14 120720054, 120810962, 90,909 [34] , [36] , [49] , [52] , [43] , [53] , [54] CIT, 8.03 E-08, 8 120720054, 120807548, 87,495 SSLD, 4.5 E-08, 12 120720054, 120807548, 87,495 rs1953126 9 120,720,054 A 0.387, 0.304 2.76 E-08 PHF19 FGT, 4.66 E-08, 14 120720054, 120810962, 90,909 [34] , [36] , [43] , [44] , [48] , [53] , [54] CIT, 8.03 E-08, 8 120720054, 120807548, 87,495 SSLD, 4.5 E-08, 12 120720054, 120807548, 87,495 rs10760130 9 120,781,544 G 0.475, 0.389 3.78 E-08 TRAF1/C5 FGT, 4.66 E-08, 14 120720054, 120810962, 90,909 [34] , [36] , [39] , [40] , [43] , [44] , [49] , [53] , [54] , [55] CIT, 8.03 E-08, 8 120720054, 120807548, 87,495 SSLD, 4.5 E-08, 12 120720054, 120807548, 87,495 rs4918037 10 105,403,030 G 0.958, 0.897 6.12 E-11 SH3PXD2A Not detected by any method – – rs2671692 10 49,767,825 A 0.677, 0.592 2.66 E-08 WDFY4 SSLD, 4.84 E-08, 6 49767825, 49777543, 9719 [34] , [35] , [51] , [53] rs10999147 10 71,550,864 A 0.976, 0.939 4.16 E-08 AIFM2 FGT, 1.91 E-06, 2 71550196, 71550864, 669 – rs4760609 12 46,702,024 C 0.907, 0.819 3 E-12 COL2A1/SENP1 FGT, 1.23 E-07, 3 46700325, 46703575, 3251 – rs757123 12 119,263,543 G 0.943, 0.888 1.72 E-08 MSI1 Not detected by any method – – rs4264325 14 104,050,531 G 0.997, 0.973 1.94 E-08 KIF26A/C14orf180 FGT, 5.69 E-06, 8 104045894, 104062173, 16,280 – rs2292327 16 82,588,153 G 0.516, 0.405 1.16 E-09 NECAB2 Not detected by any method – – rs2745106 16 1,481,462 G 0.954, 0.904 1.77 E-08 PTX4/TELO2 Not detected by any method – – rs11868709 17 73,740,166 C 0.817, 0.714 7.38 E-11 TMEM235 Not detected by any method – – rs8087252 18 44,295,753 G 0.924, 0.865 7.13 E-09 ZBTB7C/CTIF Not detected by any method – – rs6018432 20 35,485,260 G 0.956, 0.888 3.55 E-13 SRC/BLCAP Not detected by any method – [56] rs1182531 20 57,826,397 C 0.852, 0.779 6.53 E-09 PHACTR3 FGT, 1 E-08, 2 57826397, 57832814, 6418 [22] , [31] , [34] , [35] , [57] SSLD, 1 E-08, 2 57826397, 57832814, 6418 rs13054355 22 20,321,624 G 0.930, 0.854 6.04 E-12 SDF2L1 FGT, 5.08 E-08, 7 20264229, 20321624, 57,396 – CIT, 1.09 E-08, 3 20313153, 20321624, 8472 SSLD, 1.09 E-06, 3 20321624, 20346559, 24,936 rs1005133 22 18,112,909 G 0.844, 0.767 4.08 E-08 SEPT5-GP1BB/TBX1 FGT, 1.02 E-05, 2 18112175, 18112909, 735 – CIT, 1.02 E-05, 2 18112175, 18112909, 735 a Assoc. Allele: Associated Allele. b AAF: Associated Allele Frequency. c P -values are calculated based on the chi-squared test.
The highly significant SNPs (with P -values lower than the genome-wide significance threshold) discovered by the individual SNP approach with the corresponding haplotype blocks.
Assoc. Allele: Associated Allele.
AAF: Associated Allele Frequency.
P -values are calculated based on the chi-squared test.
In Table 3 , the block sizes (in bp) – for the five biomarkers detected in the PHF19-TRAF1-C5 region – determined using the SSLD and CIT methods were the same. However, the SSLD block included more associated SNPs (12) than the CIT block (8), as depicted in Fig. 6 . By further investigating this block, the four excluded SNPs by the CIT method were having MAFs less than 0.05 (a default condition in Haploview for the CIT method). Fig. 6 Comparison for the CIT and SSLD methods on the same significant haplotype block in the PHF19-TRAF1-C5 region. (a) LD plot showing CIT block comprising eight biomarkers. (b) LD plot for SSLD block including twelve biomarkers.
Comparison for the CIT and SSLD methods on the same significant haplotype block in the PHF19-TRAF1-C5 region. (a) LD plot showing CIT block comprising eight biomarkers. (b) LD plot for SSLD block including twelve biomarkers.
For the non-Chr 6 biomarkers shown in Table 3 , these results were in line with those obtained by Eyre et al. [27] that verified the association of PTPN22 (rs2476601, P -value = 1.12 × 10 −12 ) with RA for populations of European ancestry. Moreover, these two studies confirm the association of TRAF1 with RA, but for different SNPs. The detected biomarker in the present study was rs3761847 ( P -value = 1.24 × 10 −08 ), while rs10739580 ( P -value = 1.7 × 10 −06 ) was identified by Eyre et al. These two biomarkers are 163,211 bp apart from each other.
A deeper view had been focused on the genes of the “never been reported” biomarkers in Table 3 . Table 4 had been constructed using DAVID 6.8 to relate these genes to RA pathology and to link gene-disease associations. Ten genes were detected to play a role in RA pathology. Table 4 Disease enrichment analysis for the genes of the “never been reported” biomarkers. Gene name Region Functional pathway related to RA Diseases affected by the gene CDC42EP3 2p21 Induces pseudopodia formation in fibroblasts Schizophrenia [59] FAM82A1 2p22.2 Lung cancer [60] PLCL1 2q33 Affects the bone density and the level of osteocalcin Osteoporosis, hip bone size variation in females [61] , intracranial aneurysm [62] SATB2 2q33 Affects the activity of osteoblasts and the differentiation of immunocytes, plays a role in immune regulation, and elevations in the level of alkaline phosphatase Cleft palate [63] , [64] , microdeletion syndrome [65] , head and neck squamous cell carcinoma [66] , colorectal carcinoma [67] , laryngeal carcinoma [68] , osteosarcoma [69] , pancreatic cancer [70] , esophageal carcinoma [71] , hepatocellular carcinoma [72] , HIV/AIDS infection [73] , renal cell carcinoma [74] , neuroendocrine tumors [75] C3orf67 3p14.2 TIFA 4q25 Plays a role in the activation of IL-1, TRAF6, and IKK, affects the activation of NF-kappa-B ZNF366 5q13.2 Plays a role in regulating the expression of genes in response to estrogen, affects the differentiation of dendritic cells and the production of IL-4, IL-10, IL-12, and NF-kappa-B Osteoporosis [76] , breast cancer [77] , prostate cancer [78] CPA4 7q32 Benign hypertrophic prostate, prostate cancer [79] ZNF679 7q11.21 FIS1 7q22.1 Alzheimer's disease [80] , leukemia [81] , thyroid tumors [82] RABL5 7q22.1 FAM49B 8q24.21 Endometriosis [83] SH3PXD2A 10q24.33 Affects the activity of osteoclast Breast cancer, melanoma [84] , glioma [85] , pre-eclampsia [86] , lung adenocarcinoma [87] , prostate cancer [88] , colon cancer [89] AIFM2 10q22.1 Ovarian cancer, retinoblastoma [90] COL2A1 12q13.11 Plays a role in the activation of IL-6, Osteoarthritis, chondrodysplasia, epiphyseal dysplasia, joint deformity, spondyloepiphyseal dysplasia Stickler and Wagner syndromes [91] , chondrosarcomas [92] , osteonecrosis of the femoral head [93] , pathological myopia [94] , congenital toxoplasmosis [95] , Czech dysplasia [96] , Legg-Calvé-Perthes [97] SENP1 12q13.1 Plays a role in the activation of IL-6 Prostate cancer [98] , leukemia, hepatoma [99] MSI1 12q24.1-q24.31 Liver cancer, hepatoma, glioma and melanoma [100] , neurodegenerative disorders [101] , Helicobacter pylori infection [102] , cervical carcinoma [103] , endometriosis and endometrial carcinoma [104] , medulloblastoma [105] KIF26A 14q32.33 C14orf180 14q32.33 NECAB2 16q23.3 PTX4 16p13.3 TELO2 16p13.3 Glioma [106] , intellectual disability [107] , You-Hoover-Fong syndrome [108] TMEM235 17q25.3 Cataract [109] ZBTB7C 18q21.1 Sepsis [110] , kidney cancer [111] , cerebral ischemia [112] CTIF 18q21.1 Hearing function [113] SDF2L1 22q11.21 Insulinoma [114] SEPT5 22q11.21 Involved in cytokinesis Juvenile parkinsonism [115] , pancreatic neoplasm [116] , vitreoretinopathy [117] , Parkinson's disease [118] GP1BB 22q11.21-q11.23 Bernard-Soulier syndrome [119] , Velocardiofacial syndrome [120] , developmental delay, cardiac defects, dysmorphic facial features, palatal anomalies, hypocalcemia, and immune deficiency [121] TBX1 22q11.21 expands T lymphocytes activity, affects the activity of fibroblastic growth factor DiGeorge syndrome, pharyngeal and aortic arch defects [122] , Velocardiofacial syndrome [123] , psychiatric disorders [124] , lung tumor [125] , Tetralogy of Fallot [126] , Conotruncal heart defects [127] , ventricular septal defect [128] , renal malformations [129] , adenoid cystic carcinoma [130] , cleft palate [131] , indirect inguinal hernia [132] , prostate cancer [133]
Disease enrichment analysis for the genes of the “never been reported” biomarkers.
As shown in Table 4 , TBX1 played a role in RA pathology through its immunological function. A study by Meziani et al. confirmed the association of TBX1 (rs4819522, P -value = 0.0014) with RA in both Japanese and Europeans using a meta-analysis [58] . The identified SNP in the present study (rs1005133, P -value = 4.08 × 10 −08 ) was in a close proximity with the SNP obtained by Meziani et al. (28,427 bp). As shown in Table 3 , rs1005133 was in a block with another SNP (rs5993820) detected by CIT and FGT methods. An LD plot was performed for the region that contained these two SNPs for unravelling other associations in that region from Chr 22. As depicted in Fig. 7 , rs4819522 was neither in strong LD with rs1005133 (D′ = 0.2, r 2 = 0.035) nor with rs5993820 (D′ = 0.411, r 2 = 0.021). Fig. 7 LD plot for the TBX1 region showing a biomarker in this study (rs1005133) and a previously detected biomarker (rs4819522).
LD plot for the TBX1 region showing a biomarker in this study (rs1005133) and a previously detected biomarker (rs4819522).
The block similarity for the three applied methods of haplotype block partitioning are shown in Table 5 . The similarity measure represents the SNPs detected by both methods in question divided by the total SNPs detected by the two methods. The highest block similarity was between CIT and FGT (mean ± SD = 0.464 ± 0.286). The block similarity between FGT and SSLD (mean ± SD = 0.21 ± 0.216) was nearly equal to that between CIT and SSLD (mean ± SD = 0.205 ± 0.193). The significance of these similarities was checked using one-way ANOVA with a post hoc t -test. The significance level for the three methods after Bonferroni correction was 0.0167 (0.05/3). The difference between (FGT and SSLD) and (CIT and SSLD) was not statistically significant ( P -value = 0.936). The differences between (CIT and FGT) and (CIT and SSLD) and between (FGT and SSLD) and (FGT and CIT) were statistically significant ( P -values = 0.001 and 0.002, respectively). Table 5 Block similarity among the haplotype block methods for the twenty-two Chrs. Chr no. CIT vs FGT FGT vs SSLD SSLD vs CIT 1 88% 21% 23% 2 39% 0% 0% 3 34% 45% 20% 4 100% 0% 0% 5 40% 21% 30% 6 76% 74% 71% 7 9% 32% 6% 8 39% 30% 34% 9 49% 29% 25% 10 0% 0% 0% 11 53% 0% 0% 12 74% 18% 21% 13 71% 0% 0% 14 17% 36% 24% 15 39% 33% 23% 16 0% 0% 54% 17 52% 51% 35% 18 0% 0% 0% 19 64% 52% 43% 20 50% 18% 27% 21 75% 0% 11% 22 53% 2% 4%
Block similarity among the haplotype block methods for the twenty-two Chrs.
As shown in Table 6 , the SSLD method provided the best coverage of the hits obtained with the individual SNP approach, with 444 SNPs from 541 SNPs. The FGT method detected 432 SNPs, and the CIT method detected 415 SNPs. However, after excluding the hits on Chr 6, the FGT method was the best, detecting 45 out of 109 SNPs, and the CIT method (34 SNPs) performed better than the SSLD method (29 SNPs). The significance of the coverage by the three block methods of the hits obtained with the individual SNP approach was checked using one-way ANOVA with a post hoc t -test. The mean ± SD of the number of hits for CIT, FGT, and SSLD methods were 18.864 ± 80.909, 19.636 ± 82.071, and 20.182 ± 88.199, respectively. The significance level for the three methods after Bonferroni correction was 0.0167 (0.05/3). The difference among the three groups determined using ANOVA was not statistically significant ( P -value = 0.999). Table 6 The ability of each haplotype block method to capture the significant SNPs the determined with individual SNP approach. Chr no. Individual SNP CIT FGT SSLD 1 4 1 1 1 2 2 0 0 0 3 5 1 2 1 4 5 3 3 0 5 6 2 2 2 6 432 381 387 415 7 7 0 2 3 8 11 6 6 2 9 11 7 7 7 10 5 0 1 2 11 2 1 1 0 12 3 0 1 1 13 0 0 0 0 14 5 2 2 1 15 3 0 0 0 16 7 0 1 1 17 4 1 2 1 18 3 0 2 0 19 5 2 2 3 20 8 1 3 3 21 7 5 4 0 22 6 2 3 1
The ability of each haplotype block method to capture the significant SNPs the determined with individual SNP approach.
Most of the haplotype blocks that showed a high relationship with RA were in or near (+3 Mb) the major histocompatibility complex (MHC) region. Most of the 1021 SNPs detected by the three block methods were in the MHC region. These outcomes confirmed the firm association between the MHC region and RA susceptibility.
Some associated SNPs were determined using all the methods, but others were observed by only one method. These differences could be due to several reasons. For the associations observed using only the individual SNP approach, it may be that only one SNP represents strong LD with the causal SNP. Therefore, studying haplotypes could decrease the power of association because they consist of several SNPs.
For the associations observed using only the haplotype block methods, the individual SNP approach required approximately 81.71% more tests than the block methods. Consequently, the Bonferroni correction was more severe for the individual SNP approach.
The block methods were able to detect the interactions among many causal SNPs. In addition, haplotypes could capture rare alleles that may not be reflected by individual SNPs. The reason for this difference could be that the power to observe associations is maximized when the frequencies of the studied biomarker and the causal SNP are similar. Some associations were observed using one but not the other haplotype block methods because each method differs greatly in its scope of the definition of a haplotype block.
The limitations of this study are as follows: (a) the effects of population stratification were not accounted for; (b) a replication study in other datasets was not performed; and (c) other haplotype block methods, such as those based on hidden Markov models [134] , [135] , dynamic programming-based algorithms [136] , [137] , [138] , [139] , [140] , wavelet decomposition [141] , greedy algorithms [142] , the minimum description length principle [143] , [144] , spatial correlation of SNPs [145] , sequence kernel association tests [146] , and block entropy [147] , were not included.