-- Hi all,
I want to determine if some group of values are correlated between samples,
I have a set of values (val1,val2,val3,val4,val5) organized according to the dataframe (below)
and I'd like to identify groups of values that fluctuate in the same direction and determine whether they are sample-dependent or not.
What statistical methods should I use and how can I apply them to my dataframe ?
Do i need to use PCA analysis, correlation analysis....?
Thank you --
DF<-structure(list(samples = c("sample_1", "sample_2", "sample_3",
"sample_4", "sample_5", "sample_6", "sample_7", "sample_8", "sample_9",
"sample_10", "sample_11", "sample_12", "sample_13", "sample_14",
"sample_15", "sample_16", "sample_17", "sample_18", "sample_19",
"sample_20", "sample_21", "sample_22", "sample_23", "sample_24",
"sample_25", "sample_26", "sample_27", "sample_28", "sample_29",
"sample_30", "sample_31", "sample_32", "sample_33", "sample_34",
"sample_35", "sample_36", "sample_37", "sample_38", "sample_39",
"sample_40", "sample_41", "sample_42", "sample_43", "sample_44",
"sample_45", "sample_46", "sample_47", "sample_48", "sample_49",
"sample_50", "sample_51", "sample_52", "sample_53", "sample_54",
"sample_55", "sample_56", "sample_57", "sample_58", "sample_59",
"sample_60", "sample_61", "sample_62", "sample_63", "sample_64",
"sample_65", "sample_66", "sample_67", "sample_68", "sample_69",
"sample_70", "sample_71", "sample_72", "sample_73", "sample_74",
"sample_75", "sample_76", "sample_77", "sample_78", "sample_79",
"sample_80", "sample_81", "sample_82", "sample_83", "sample_84",
"sample_85", "sample_86", "sample_87", "sample_88", "sample_89",
"sample_90", "sample_91", "sample_92", "sample_93", "sample_94",
"sample_95", "sample_96", "sample_97", "sample_98", "sample_99",
"sample_100", "sample_101", "sample_102", "sample_103", "sample_104",
"sample_105", "sample_106", "sample_107", "sample_108", "sample_109",
"sample_110", "sample_111", "sample_112", "sample_113", "sample_114",
"sample_115", "sample_116", "sample_117", "sample_118", "sample_119",
"sample_120", "sample_121", "sample_122", "sample_123", "sample_124",
"sample_125", "sample_126", "sample_127", "sample_128", "sample_129",
"sample_130", "sample_131", "sample_132", "sample_133", "sample_134",
"sample_135", "sample_136", "sample_137", "sample_138", "sample_139",
"sample_140", "sample_141", "sample_142", "sample_143", "sample_144",
"sample_145", "sample_146", "sample_147", "sample_148", "sample_149",
"sample_150", "sample_151", "sample_152", "sample_153", "sample_154",
"sample_155", "sample_156", "sample_157", "sample_158", "sample_159",
"sample_160", "sample_161", "sample_162", "sample_163", "sample_164",
"sample_165", "sample_166", "sample_167", "sample_168", "sample_169",
"sample_170", "sample_171", "sample_172", "sample_173", "sample_174",
"sample_175", "sample_176", "sample_177", "sample_178", "sample_179",
"sample_180", "sample_181", "sample_182", "sample_183", "sample_184",
"sample_185", "sample_186", "sample_187", "sample_188", "sample_189",
"sample_190", "sample_191", "sample_192", "sample_193", "sample_194",
"sample_195", "sample_196", "sample_197", "sample_198", "sample_199",
"sample_200", "sample_201", "sample_202", "sample_203", "sample_204",
"sample_205", "sample_206", "sample_207", "sample_208", "sample_209",
"sample_210", "sample_211", "sample_212", "sample_213", "sample_214",
"sample_215", "sample_216", "sample_217", "sample_218", "sample_219",
"sample_220", "sample_221", "sample_222", "sample_223", "sample_224",
"sample_225", "sample_226", "sample_227", "sample_228", "sample_229",
"sample_230", "sample_231", "sample_232", "sample_233", "sample_234",
"sample_235", "sample_236", "sample_237", "sample_238", "sample_239",
"sample_240", "sample_241", "sample_242", "sample_243", "sample_244",
"sample_245", "sample_246", "sample_247", "sample_248", "sample_249",
"sample_250", "sample_251", "sample_252", "sample_253", "sample_254",
"sample_255", "sample_256", "sample_257", "sample_258", "sample_259",
"sample_260", "sample_261", "sample_262", "sample_263", "sample_264",
"sample_265", "sample_266", "sample_267", "sample_268", "sample_269",
"sample_270", "sample_271", "sample_272", "sample_273", "sample_274",
"sample_275", "sample_276", "sample_277", "sample_278", "sample_279",
"sample_280", "sample_281", "sample_282", "sample_283", "sample_284",
"sample_285", "sample_286", "sample_287", "sample_288", "sample_289",
"sample_290", "sample_291", "sample_292", "sample_293", "sample_294",
"sample_295", "sample_296", "sample_297", "sample_298", "sample_299",
"sample_300", "sample_301", "sample_302", "sample_303", "sample_304",
"sample_305", "sample_306", "sample_307", "sample_308", "sample_309",
"sample_310", "sample_311", "sample_312", "sample_313", "sample_314",
"sample_315", "sample_316", "sample_317", "sample_318", "sample_319",
"sample_320", "sample_321", "sample_322", "sample_323", "sample_324",
"sample_325", "sample_326", "sample_327", "sample_328", "sample_329",
"sample_330", "sample_331", "sample_332", "sample_333", "sample_334",
"sample_335", "sample_336", "sample_337", "sample_338", "sample_339",
"sample_340", "sample_341", "sample_342", "sample_343", "sample_344",
"sample_345", "sample_346", "sample_347", "sample_348", "sample_349",
"sample_350", "sample_351", "sample_352", "sample_353", "sample_354",
"sample_355", "sample_356", "sample_357", "sample_358", "sample_359",
"sample_360", "sample_361", "sample_362", "sample_363", "sample_364",
"sample_365", "sample_366", "sample_367", "sample_368", "sample_369",
"sample_370", "sample_371", "sample_372", "sample_373", "sample_374",
"sample_375", "sample_376", "sample_377", "sample_378", "sample_379",
"sample_380", "sample_381", "sample_382", "sample_383", "sample_384",
"sample_385", "sample_386", "sample_387", "sample_388", "sample_389",
"sample_390", "sample_391", "sample_392", "sample_393", "sample_394",
"sample_395", "sample_396", "sample_397", "sample_398", "sample_399",
"sample_400"), `val1` = c(2.082858, 2.122263, 2.088764, 2.071917,
2.112873, 1.91232, 2.228338, 2.238842, 2.204705, 2.25799, 2.247922,
2.264857, 2.284079, 2.184844, 2.219508, 2.123316, 2.198431, 2.210576,
2.098665, 2.206564, 2.305151, 2.327899, 2.347045, 2.234165, 2.307019,
2.156422, 2.183574, 2.07336, 2.248262, 2.316283, 2.160408, 2.046137,
2.176502, 1.563847, 2.310179, 2.07625, 2.028296, 2.065215, 2.30437,
2.092364, 1.935416, 1.985022, 2.010673, 2.013315, 2.046925, 2.148523,
1.846122, 1.936764, 2.293144, 2.397894, 2.410375, 2.416399, 1.8967,
1.94594, 1.909418, 1.971929, 2.019644, 1.965783, 2.231236, 2.269495,
2.352585, 2.254097, 2.216921, 2.142253, 2.299506, 2.04482, 2.00557,
2.271586, 2.195803, 2.255651, 1.873039, 1.946898, 1.991462, 2.146694,
2.164778, 2.209621, 2.290843, 2.187884, 2.049942, 2.058623, 2.131342,
2.152823, 2.284918, 2.266683, 2.180382, 2.01722, 2.029978, 2.082069,
1.990474, 2.04705, 2.031689, 2.408628, 2.226449, 2.184436, 2.248969,
2.276837, 2.295985, 2.143137, 2.153112, 1.901395, 1.977717, 2.002051,
2.154496, 2.19486, 2.233862, 2.030338, 1.978764, 2.052828, 2.11602,
2.320996, 2.088018, 1.921463, 2.100839, 2.027167, 2.053049, 1.873107,
1.879176, 1.96511, 1.905438, 2.287117, 2.119682, 1.889649, 2.050932,
2.062423, 2.147351, 1.993605, 2.179864, 2.305471, 2.221362, 2.120141,
2.353358, 2.222375, 2.176474, 1.745787, 2.04053, 2.27677, 2.205036,
1.952083, 1.967993, 2.132868, 1.949719, 2.257922, 2.334273, 2.332832,
2.026935, 2.049107, 2.111323, 2.244565, 2.137639, 2.16603, 2.193296,
2.225692, 2.25583, 2.275703, 2.290776, 2.296312, 1.888474, 2.024919,
2.080257, 2.134283, 2.145789, 2.099064, 2.14684, 2.12732, 2.0526,
2.240667, 2.15323, 2.053933, 2.167032, 2.259444, 2.203162, 2.214217,
2.13477, 1.538202, 2.184755, 2.217369, 1.934981, 1.994553, 2.08068,
2.011057, 2.105287, 1.967695, 2.109566, 2.026368, 2.290976, 2.255277,
2.247285, 1.951347, 1.99945, 2.245651, 2.18856, 2.222482, 2.121424,
2.109054, 2.082864, 2.362444, 2.013584, 2.05746, 2.166546, 2.168365,
2.069021, 2.098348, 2.142036, 2.092707, 2.152859, 2.068626, 2.055397,
2.056062, 2.175835, 2.188238, 2.038177, 2.138391, 2.276856, 2.174242,
2.19482, 2.113511, 2.329332, 2.249665, 2.17901, 2.157453, 2.085514,
2.162304, 1.983162, 2.09645, 2.086829, 2.069861, 2.094015, 2.037438,
2.128538, 2.094458, 2.091278, 2.236437, 2.161954, 2.161966, 2.033872,
2.124975, 2.036079, 2.15647, 2.230147, 2.048557, 2.151563, 2.16802,
2.189068, 2.160613, 2.183146, 2.197435, 2.107876, 2.04596, 2.003809,
2.088539, 2.095891, 2.238743, 2.129981, 2.053809, 2.093723, 2.114702,
2.047264, 2.175869, 2.08047, 2.17311, 2.225797, 2.059016, 2.192365,
2.084445, 2.088945, 2.18169, 2.146257, 2.311534, 2.141637, 2.175739,
2.127526, 2.147002, 2.272443, 2.14763, 2.093103, 2.069417, 2.100754,
2.229609, 2.179895, 2.24466, 2.061181, 2.252336, 2.132369, 2.118515,
2.101917, 2.149535, 2.090827, 2.118568, 2.244184, 2.361944, 2.214365,
2.259785, 2.338635, 2.046819, 2.142318, 2.12535, 2.048488, 2.030475,
2.110566, 2.094643, 2.075998, 2.121076, 2.117321, 2.183068, 2.060518,
2.075803, 2.097205, 2.115661, 2.120569, 2.047365, 2.172754, 2.109363,
2.140297, 2.188512, 2.190935, 2.164103, 2.07223, 2.045483, 2.121717,
2.110568, 2.036107, 2.035171, 2.119228, 2.141326, 2.037731, 2.119369,
2.003983, 2.018401, 2.010878, 2.083425, 2.089139, 2.282455, 2.049371,
2.076649, 2.135887, 2.22206, 2.145577, 2.105737, 2.101818, 2.079847,
2.03853, 2.00578, 2.091156, 2.173219, 2.165171, 2.11761, 2.122339,
2.010948, 2.074492, 2.163965, 2.149956, 2.056055, 2.105201, 2.068876,
2.174275, 2.120809, 2.089455, 2.114321, 2.182982, 2.193953, 2.037804,
2.208789, 2.068346, 2.057904, 2.055882, 2.169807, 2.054432, 2.183712,
1.964441, 1.960812, 1.996795, 2.074152, 2.049355, 2.004009, 2.053112,
1.995155, 2.304014, 2.263169, 2.289217, 2.073105, 2.173921, 2.130906,
2.141058, 2.142085, 2.167612, 2.323677, 2.318744, 2.159492, 2.077183,
2.10162, 2.072703, 2.085948, 1.926688, 2.115667, 2.159722, 2.151376,
2.15546, 2.012882, 2.141457, 1.975143), `val2` = c(2.121346, 2.057013,
2.111548, 2.158725, 2.124835, 1.8321, 2.123801, 2.55457, 2.32552,
2.263824, 2.33237, 2.40342, 2.435667, 2.271651, 2.285832, 2.413729,
2.347152, 2.456612, 2.446705, 2.376359, 2.354466, 2.428076, 2.398521,
2.32005, 2.37856, 2.337184, 2.254457, 2.359102, 2.305856, 2.305669,
1.80539, 2.337231, 2.366302, 1.668763, 2.279011, 2.041656, 2.045334,
2.013131, 2.264024, 2.117566, 1.883608, 2.005024, 1.899453, 2.03688,
2.193941, 2.165064, 1.877933, 1.656289, 2.206814, 2.306979, 2.348562,
2.33883, 1.828998, 1.694623, 2.070877, 1.894557, 1.663993, 2.062695,
2.222888, 2.203874, 2.396811, 2.333893, 2.195548, 2.314806, 2.393149,
2.106452, 2.0867, 1.950008, 2.229766, 2.258149, 1.891405, 1.994098,
1.973966, 2.146489, 2.194699, 2.249427, 2.200922, 2.144333, 2.019622,
2.18366, 2.257231, 2.267063, 2.355385, 2.351872, 2.435147, 2.029042,
2.098046, 2.105343, 1.912382, 2.110974, 2.040763, 2.159514, 2.13006,
2.304408, 2.207029, 2.29645, 2.169954, 2.202413, 2.275843, 1.936519,
2.042529, 2.029375, 2.161983, 2.195556, 2.189191, 1.978561, 1.747422,
2.017418, 2.138009, 2.266166, 2.074008, 1.593988, 1.971115, 1.962473,
2.087003, 1.84086, 1.912322, 1.968383, 1.838688, 2.256437, 2.268156,
1.865337, 1.933451, 1.945718, 2.274528, 2.09925, 2.277204, 2.214034,
2.278242, 2.329639, 2.275792, 2.388433, 2.272512, 1.872799, 1.995085,
2.28755, 2.166229, 2.102435, 2.005053, 2.135626, 2.103744, 2.275947,
2.279221, 2.258276, 1.931342, 2.168069, 2.183174, 2.337666, 2.160291,
2.31235, 2.268757, 2.276785, 2.191121, 2.200755, 2.399039, 2.4622,
1.889064, 1.97375, 2.138371, 2.178417, 2.229665, 2.134945, 2.358874,
2.160434, 2.102112, 2.2501, 2.202255, 2.155681, 2.111324, 2.25234,
2.24462, 2.314045, 2.228368, 1.393818, 2.239559, 2.240666, 2.169803,
2.208392, 2.208392, 2.214578, 2.214578, 2.250664, 2.250664, 2.002537,
2.452555, 2.172164, 2.267603, 2.120744, 1.963622, 2.315482, 2.038826,
2.239879, 2.137838, 2.310075, 2.035209, 2.300045, 2.136338, 2.096093,
2.309587, 2.289974, 2.136349, 2.071765, 2.081854, 2.068642, 2.08411,
2.156214, 2.20417, 2.118596, 2.294891, 2.241429, 2.143121, 2.07384,
2.315079, 2.228802, 2.198389, 2.237765, 2.287054, 2.207762, 2.117005,
2.239277, 2.201032, 2.226966, 1.978663, 2.127048, 2.138229, 2.126905,
2.147161, 2.198079, 2.159185, 2.146965, 2.174537, 2.30177, 2.21213,
2.212304, 2.096243, 2.075516, 2.251111, 2.207776, 2.349764, 2.070651,
2.303252, 2.277557, 2.352218, 2.278433, 2.241535, 2.308933, 2.199939,
2.188046, 2.12897, 2.053481, 2.187801, 2.285338, 2.215279, 2.204896,
2.145548, 2.134417, 2.161437, 2.219601, 2.168947, 2.209282, 2.189806,
2.14961, 2.130051, 2.074155, 2.196938, 2.169139, 2.19535, 2.251364,
2.071415, 2.08414, 2.146077, 2.123159, 2.211347, 2.007488, 2.197693,
2.244524, 2.144347, 2.135782, 2.17264, 2.260589, 2.280875, 2.183601,
2.035551, 2.14278, 2.136295, 2.30651, 2.035369, 2.245049, 2.157683,
2.173291, 2.207225, 2.270673, 2.247661, 2.273533, 2.252527, 2.144356,
1.85498, 2.017327, 2.131334, 2.154868, 2.098541, 2.159889, 2.133461,
2.295671, 2.085562, 2.131564, 2.090968, 2.038269, 2.242191, 2.155241,
2.218413, 2.189792, 2.061016, 2.208076, 2.122188, 2.131967, 2.118371,
2.069602, 2.239564, 2.098603, 2.095114, 2.120751, 2.126101, 2.133297,
2.085431, 2.036575, 2.123177, 2.118041, 2.149367, 2.137017, 2.096356,
2.277791, 2.155334, 2.100648, 2.127216, 2.302333, 2.225221, 2.169416,
2.007423, 2.111852, 2.048581, 2.115114, 2.089046, 2.285424, 2.17155,
2.136776, 2.065787, 2.167453, 2.187317, 2.111283, 2.077909, 2.049304,
2.024453, 2.16709, 2.095574, 2.250399, 2.109284, 2.063335, 2.184867,
2.21021, 2.120943, 2.300302, 2.161862, 2.07172, 2.101225, 2.173641,
2.255698, 2.126073, 1.982578, 1.990192, 1.990307, 2.093519, 2.121378,
2.128941, 2.016535, 2.049717, 2.323625, 2.330499, 2.278661, 2.190421,
2.249739, 2.313736, 2.206258, 2.222959, 2.238193, 2.334758, 2.295016,
2.33971, 2.162662, 2.12201, 2.055884, 2.090801, 1.981376, 2.2449,
2.258894, 2.164073, 2.228572, 2.099607, 2.209779, 2.092219),
`val3` = c(2.14252, 2.175419, 2.26789, 2.219875, 2.167182,
2.053002, 2.152574, 2.36973, 2.386524, 2.355951, 2.423532,
2.369754, 2.421104, 2.272194, 2.24334, 2.247397, 2.247935,
2.337053, 2.254528, 2.299579, 2.451648, 2.434791, 2.413604,
2.278367, 2.359631, 2.327937, 2.292264, 2.184793, 2.128214,
2.34826, 1.736369, 2.246826, 2.278744, 1.609359, 2.149199,
2.056187, 2.005308, 2.017998, 2.271404, 2.115661, 1.918609,
1.971176, 1.927277, 2.148639, 2.125553, 2.230468, 2.0303,
1.528465, 2.334077, 2.509969, 2.343552, 2.426268, 2.046001,
1.566295, 2.012493, 2.099083, 1.53598, 2.019948, 2.335971,
2.371226, 2.497284, 2.302614, 2.262051, 2.34778, 2.419204,
2.093739, 2.069555, 1.826686, 2.107145, 2.232015, 1.907773,
2.063211, 1.971781, 2.143656, 2.28016, 2.257669, 2.165872,
2.316845, 1.993204, 2.109138, 2.257096, 2.170264, 2.325351,
2.254235, 2.277522, 2.062624, 2.110956, 2.131972, 1.931915,
2.003313, 2.04408, 2.015764, 1.962285, 2.304109, 2.238633,
2.217348, 2.210052, 2.163779, 2.174652, 2.019867, 1.906523,
2.017825, 2.191424, 2.18117, 2.149712, 1.881857, 1.543816,
2.030026, 2.169016, 2.221381, 2.141331, 1.608621, 2.004654,
1.996462, 2.103756, 1.785617, 1.921303, 2.01878, 1.927096,
2.301642, 2.262258, 1.936385, 1.941799, 2.165343, 2.243224,
1.925497, 2.089144, 2.358042, 2.247775, 2.264547, 2.275754,
2.25868, 2.276655, 1.861224, 2.061538, 2.230054, 2.127053,
1.93639, 1.844573, 2.112442, 2.069124, 2.088666, 2.22327,
2.275378, 1.919877, 2.172298, 2.212157, 2.301012, 2.229858,
2.194098, 2.340829, 2.30437, 2.312016, 2.238267, 2.352278,
2.319287, 1.995792, 1.93857, 2.187406, 2.202112, 2.170208,
2.128147, 2.287111, 2.169452, 2.187433, 2.19519, 2.214937,
2.087365, 2.2268, 2.28623, 2.069005, 2.22988, 2.197564, 1.327704,
2.210598, 2.318935, 1.934981, 1.958112, 2.179368, 1.907111,
2.07291, 1.876928, 2.081677, 1.970865, 2.362311, 2.212368,
2.288541, 2.063169, 1.991251, 2.256495, 2.198519, 2.225588,
2.185618, 2.173044, 2.101828, 2.335278, 2.096587, 2.169129,
2.201262, 2.290541, 2.18592, 2.133513, 2.120704, 2.071174,
2.050728, 2.126838, 2.082943, 2.057391, 2.20872, 2.180407,
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