This function normalize the data by absolute value
Examples
set.seed(20240412)
data1 <- gen_gaussian(n= 500, p = 4)
#> ✔ Data generation completed successfully!!!
normalize_data(data = data1)
#> x1 x2 x3 x4
#> 1 0.3693006368 -0.179963438 -3.620957e-01 0.3600654960
#> 2 0.1057937632 -0.043198498 -4.293747e-01 0.1094879924
#> 3 -0.1301659541 0.834924780 1.014744e-01 -0.0061040149
#> 4 0.0711319345 -0.020276851 -1.428199e-01 0.1065253357
#> 5 -0.0873354387 0.095546900 1.143296e-01 0.2746812833
#> 6 0.3748332591 -0.279412605 -4.238094e-02 -0.3720674962
#> 7 0.0974284791 0.104320996 3.093415e-02 0.0380285626
#> 8 -0.2461998150 0.351592959 -5.484355e-02 -0.2509539698
#> 9 0.1016229399 0.187176820 7.591812e-02 -0.1189938748
#> 10 -0.0607525074 0.280334001 1.532177e-01 -0.2456853841
#> 11 -0.1767904104 -0.350287977 5.342028e-01 0.3551694500
#> 12 -0.3550684080 0.226238625 -4.980786e-02 0.3078627895
#> 13 0.0924627149 0.197817268 7.058763e-01 0.0676854182
#> 14 0.3048320270 -0.169774056 3.221086e-01 -0.0873600229
#> 15 0.0492465973 -0.403753550 -2.804754e-01 -0.0307742351
#> 16 0.0647872593 0.151362054 5.246121e-02 -0.1005772290
#> 17 -0.3527463580 0.140600301 4.400104e-01 0.1596131240
#> 18 0.2264548481 0.184993189 -1.392550e-01 -0.0975747994
#> 19 0.2324063065 0.081462693 3.279301e-01 -0.3557176673
#> 20 0.0767016185 0.022514687 3.692406e-01 0.1302300963
#> 21 0.2255312952 -0.395040987 2.312342e-02 0.0919671863
#> 22 0.0398717390 -0.229554979 -1.606570e-01 -0.0988942316
#> 23 0.5467388291 0.464596780 -2.370090e-01 -0.2501065294
#> 24 0.2814297285 -0.118343407 -2.489047e-01 -0.1453261478
#> 25 -0.0786021104 -0.326523952 -1.493555e-01 0.3564525265
#> 26 -0.5195097973 0.344273338 5.498254e-02 -0.0682335110
#> 27 0.7849012985 -0.310050679 2.506426e-01 0.2254039566
#> 28 -0.0166514022 0.134505827 -2.881376e-01 0.2453058186
#> 29 -0.3415982671 0.039098346 -2.322333e-01 0.0455593609
#> 30 0.1898096476 0.295351770 2.836743e-01 0.4723934931
#> 31 -0.0158329831 -0.317056883 -1.228761e-01 0.5063578148
#> 32 0.0195052881 -0.010257692 4.909064e-02 0.3214198548
#> 33 -0.3268335588 -0.101812761 -4.811331e-01 0.1651827884
#> 34 -0.0527044253 0.297278470 -1.569525e-01 0.6337323506
#> 35 0.4599037810 -0.028334494 2.670015e-01 0.3036369762
#> 36 -0.3108544232 -0.297875880 -1.688093e-01 0.0244480523
#> 37 -0.2558617807 -0.807391318 -4.144028e-02 -0.2102324693
#> 38 -0.1315486300 0.533286243 -3.544538e-01 0.3982676620
#> 39 -0.9122417994 0.010987655 -2.205360e-01 -0.2946237679
#> 40 -0.0366062462 -0.061302954 -1.852414e-01 0.1694944570
#> 41 0.1139483557 0.153612424 2.766472e-01 0.4539867822
#> 42 -0.1163351964 0.130561804 2.634213e-02 0.0449683540
#> 43 -0.4209995339 0.302655724 -7.526846e-01 -0.1138244786
#> 44 0.3890108458 -0.103020928 -3.558588e-02 0.0050635516
#> 45 -0.2826764713 -0.012404155 -1.107704e-01 -0.0049448795
#> 46 0.2430049561 0.284002241 1.691475e-02 -0.4128190593
#> 47 -0.5240586662 -0.309221964 -2.242118e-01 -0.4287870820
#> 48 -0.2273541028 -0.142809953 -6.897029e-02 0.3110241951
#> 49 -0.0379616507 0.043001661 1.371656e-01 -0.3925920948
#> 50 0.0780893837 -0.241122287 -2.863742e-02 0.2755573510
#> 51 0.1048819495 -0.198822394 -7.561111e-01 0.1701353748
#> 52 -0.3009894207 -0.077535504 -2.449463e-01 -0.2182121260
#> 53 -0.0325998150 0.097552428 4.954835e-02 0.0968713220
#> 54 -0.0092043358 0.236247475 -1.841998e-01 0.5291052764
#> 55 0.2752794644 0.133680928 -3.695012e-01 0.0313653027
#> 56 0.0465821760 -0.427285450 2.816384e-01 -0.0525370578
#> 57 -0.4087923768 -0.449658440 -8.869659e-02 0.0213818841
#> 58 -0.0663021950 -0.050396333 2.413258e-02 -0.1582469137
#> 59 -0.2623470503 0.063838089 -4.984759e-02 0.1948949975
#> 60 0.1974110054 -0.430917127 3.131939e-02 0.5102615559
#> 61 -0.1980127557 0.455357599 -8.664931e-02 0.2752170262
#> 62 -0.0762354387 0.499231760 1.493527e-01 0.1603901298
#> 63 0.0363466457 -0.429066024 -6.953249e-02 -0.2648885666
#> 64 0.2428755087 0.134157923 -9.138422e-02 0.0681463038
#> 65 0.3902626823 -0.137450186 -5.575418e-02 -0.2237724104
#> 66 -0.2153014386 -0.036506235 -1.491948e-01 0.0200956042
#> 67 0.1185473185 -0.149601136 -1.242851e-01 0.2490856975
#> 68 0.1978516281 -0.253968549 -1.027500e-01 -0.5290245857
#> 69 0.3106559817 0.055412362 -2.714536e-01 0.0103369516
#> 70 -0.2928804639 0.203557160 -3.021592e-01 -0.6284822669
#> 71 0.0344865823 -0.061787812 1.485575e-01 -0.2387142440
#> 72 0.4115253153 -0.047047584 -2.342951e-01 0.0817817717
#> 73 0.2899964332 0.078831140 -1.209357e-02 0.0671713459
#> 74 0.3171662213 -0.099252585 -9.994084e-02 -0.0957527001
#> 75 -0.0849068772 -0.026795605 2.562617e-02 -0.1966572028
#> 76 -0.0868288182 -0.314685689 -4.729964e-01 0.3194171409
#> 77 0.2910791669 -0.543528461 4.767357e-01 -0.1094103690
#> 78 -0.0146918704 0.074857325 -1.431060e-01 -0.0790044616
#> 79 -0.1170385209 0.211245167 -2.748339e-01 0.1483207554
#> 80 0.1381722767 -0.352056345 8.447390e-02 -0.3864492326
#> 81 -0.3065324341 -0.129107322 -1.145691e-01 0.2269264155
#> 82 0.0570364621 -0.198197773 -4.667407e-01 0.3369398776
#> 83 0.1660916655 0.089966578 -1.771334e-01 0.0086729834
#> 84 0.0422335110 0.494322825 3.357479e-01 -0.4340042938
#> 85 0.1339557564 0.146181437 -3.987728e-01 -0.1564619209
#> 86 0.1406058250 -0.392223246 4.462491e-01 -0.1613005723
#> 87 -0.3744367445 -0.433647037 -3.977300e-01 -0.4128746220
#> 88 0.1900088395 -0.017496408 -2.286547e-01 -0.2407606341
#> 89 -0.3222989415 0.257076487 2.048654e-01 0.3534114242
#> 90 -0.2629553666 0.418554695 -1.647824e-01 -0.4601046908
#> 91 0.0569703585 0.176812907 -5.007294e-01 0.0300074626
#> 92 -0.4255321967 0.222812063 -3.800142e-01 0.3648722210
#> 93 -0.1400764475 -0.048760714 -2.888300e-01 -0.1062032656
#> 94 0.2475690696 0.092414284 -3.121600e-01 -0.3259465627
#> 95 -0.0757145712 -0.031038939 -4.687330e-02 0.7333724947
#> 96 -0.0697768047 0.359547206 -4.011652e-02 0.0570909075
#> 97 0.0335990763 -0.307326489 -1.707903e-01 0.3020860691
#> 98 0.0408553026 -0.072103532 8.212123e-02 0.0585252503
#> 99 -0.3923498782 -0.039677650 -1.055452e-01 -0.0158149387
#> 100 0.1758272252 0.134888928 2.876379e-01 0.2778308294
#> 101 -0.0999931627 -0.210603378 -1.886710e-01 0.4979369748
#> 102 0.1802114569 -0.039261453 4.274581e-01 0.1695981463
#> 103 0.4526953163 -0.180416435 -6.781021e-01 0.0456824225
#> 104 -0.2843350550 0.172729975 -1.207482e-03 -0.1778790946
#> 105 -0.5899047255 0.142815474 1.852201e-01 0.0154132163
#> 106 -0.1731064753 0.316089763 -3.760808e-01 0.2414355416
#> 107 0.2850493171 0.023953398 7.798890e-02 0.1613078572
#> 108 -0.4412994249 0.728076171 -1.118465e-01 -0.1182700350
#> 109 -0.5808587413 0.050788322 1.806935e-01 -0.4014483472
#> 110 0.1461441421 -0.173672141 2.566645e-01 0.2497122155
#> 111 0.1093395271 -0.159263088 -3.394792e-01 -0.1901198023
#> 112 -0.1465654400 0.368728913 -4.460743e-01 0.3873609474
#> 113 0.0611108832 -0.108101873 2.997534e-01 -0.2080333161
#> 114 -0.3028314533 -0.132529803 2.693790e-02 -0.2620179269
#> 115 0.2976830344 -0.456122546 -3.040581e-01 -0.0255831454
#> 116 -0.2408484986 -0.312072729 -6.481284e-02 -0.2179413030
#> 117 -0.1952294661 0.036174124 -8.260877e-02 0.1457779242
#> 118 -0.0374100903 -0.142029635 -1.878964e-01 0.1794134339
#> 119 -0.1382139043 0.481723084 -4.088015e-01 -0.0729075144
#> 120 -0.1295839363 -0.232853099 -1.642595e-01 0.2822907506
#> 121 -0.4767084221 -0.214697248 1.533807e-01 -0.3943073216
#> 122 0.5319722456 0.260724797 5.060870e-01 0.1564116062
#> 123 0.1115198657 0.203381870 4.220151e-01 0.0421505306
#> 124 -0.0892932651 -0.378203948 4.249181e-01 0.0325061481
#> 125 0.0418835734 -0.240500733 -2.406838e-01 -0.0813216823
#> 126 0.2776557947 -0.321232138 2.207238e-01 0.1086645377
#> 127 -0.2058872467 0.260408474 7.227799e-02 -0.0661440045
#> 128 0.1022907928 -0.176641292 1.655540e-01 -0.0345495971
#> 129 -0.0115609821 -0.491911985 3.697170e-01 -0.0097048677
#> 130 -0.0177882925 0.795575728 -1.296543e-01 0.3245314061
#> 131 -0.1530591217 -0.255753387 3.479418e-01 -0.3480189883
#> 132 0.1045096542 -0.153865166 3.474034e-01 0.3029829786
#> 133 -0.5753120938 -0.273408686 1.945217e-01 -0.2031341051
#> 134 0.1524298866 0.037071728 -1.956007e-01 0.0269329943
#> 135 0.1173088719 -0.039351300 -3.485378e-01 0.1753765160
#> 136 -0.2044062905 -0.421192942 -5.538974e-01 -0.3227348999
#> 137 0.3263375252 0.011921927 -7.525749e-02 0.0650248730
#> 138 -0.2004270494 0.136082857 2.684102e-01 0.0911429643
#> 139 -0.0190128001 0.193757879 -1.579784e-01 -0.2880825444
#> 140 -0.0531020669 0.158138185 1.257465e-01 0.3919725430
#> 141 -0.2476791711 0.270826875 -3.341787e-01 -0.0590120715
#> 142 0.0002622793 -0.138487302 1.865178e-01 -0.0148929712
#> 143 -0.6995289039 -0.074803619 -3.430501e-01 0.2928667184
#> 144 -0.2050279975 -0.053917500 1.566459e-01 0.0964229340
#> 145 -0.1724024817 0.593801855 3.156763e-01 0.0352889390
#> 146 0.2768819504 -0.321258435 -1.025659e-02 -0.3625356662
#> 147 0.1076154207 0.536178923 4.830665e-02 -0.2741001603
#> 148 -0.4016690686 -0.120121119 1.225375e-01 -0.2248658781
#> 149 -0.4218479356 0.049053413 -2.341708e-01 0.3107929178
#> 150 -0.5880397999 0.086504180 8.990896e-02 -0.1111230901
#> 151 -0.0484891387 0.173532894 4.844755e-02 0.2053580596
#> 152 0.0293839442 0.255812923 2.937116e-01 0.0760954104
#> 153 0.4728184685 0.012281203 4.790987e-01 0.1139824053
#> 154 -0.6300540428 0.227339964 1.269042e-01 0.2547083318
#> 155 0.2674413997 0.016557216 4.465670e-01 0.3567753685
#> 156 0.1803627638 -0.243992941 -9.650526e-02 -0.0420383452
#> 157 0.2939513245 -0.091597979 -1.580241e-01 0.1844522710
#> 158 0.0305381078 -0.003684399 -2.987732e-01 0.3563560726
#> 159 0.3176876989 0.017705942 3.178778e-01 0.2117778987
#> 160 0.2417988351 -0.201978988 -1.667698e-01 -0.0731894208
#> 161 0.5807365163 -0.214461463 3.122661e-03 -0.2510521205
#> 162 0.0085059284 0.307915998 -4.386611e-02 -0.0459714764
#> 163 -0.3042600742 -0.313966264 -6.023356e-01 -0.0548980719
#> 164 -0.4281958259 -0.153229661 1.960088e-01 0.2607663088
#> 165 0.2168729635 0.104890410 5.698988e-02 0.0665634367
#> 166 0.3671638902 -0.172071917 1.837052e-01 0.1077571723
#> 167 -0.2198923081 0.696429890 5.063825e-02 -0.2566734119
#> 168 0.3609472093 -0.107241339 2.334582e-01 -0.1357101047
#> 169 0.0094098681 0.018996341 -4.504881e-02 0.2908323110
#> 170 0.4174502045 0.295978461 -2.760697e-01 -0.1893839081
#> 171 0.1957997021 0.638908956 1.872005e-01 -0.4540662505
#> 172 -0.3291710150 -0.059364722 1.306080e-01 -0.4298820037
#> 173 -0.3201043639 -0.327710898 5.263342e-01 -0.0620231353
#> 174 0.2203017681 -0.259435924 -2.489475e-02 -0.3037798782
#> 175 0.6474999029 0.205385058 -5.440950e-02 -0.4136572573
#> 176 0.1952311846 0.444902871 2.230748e-01 0.0578485371
#> 177 0.0070604447 -0.084081213 -7.339901e-01 -0.0764766533
#> 178 0.3018053829 -0.534522346 -6.053889e-01 0.0889593426
#> 179 0.1323707654 0.198901652 1.490083e-01 0.0694725171
#> 180 0.3965722282 0.066967391 4.734547e-01 0.3103685249
#> 181 -0.1401488545 -0.211952866 3.954887e-01 0.2982106835
#> 182 -0.3496913308 0.114624127 3.651737e-02 0.1502034045
#> 183 0.1912577495 -0.125005832 -2.622365e-01 0.2824236072
#> 184 0.3385359461 0.275732294 -7.665722e-02 -0.4206379301
#> 185 0.0500534130 -0.122652451 -3.745592e-01 0.1775681920
#> 186 0.1644601148 -0.310239620 -1.297203e-01 -0.4136215230
#> 187 0.0315718874 0.252285322 -4.747155e-01 0.1382399473
#> 188 0.1031364761 -0.062652979 -4.793701e-01 0.0632028820
#> 189 -0.1528439822 0.387462774 -4.762042e-01 -0.1262608696
#> 190 -0.4142607180 -0.141894914 -1.396826e-01 0.3353066501
#> 191 0.0306471365 -0.347187815 -3.098633e-02 0.2130421290
#> 192 0.3575624725 -0.208621899 -4.960874e-01 -0.2205512399
#> 193 -0.0059326867 -0.096823723 -1.999414e-01 -0.3618567063
#> 194 0.1047378914 -0.230701184 4.647200e-01 0.3271154825
#> 195 0.3886921635 0.232144815 -3.669244e-01 -0.0686189230
#> 196 -0.3842090286 0.085941581 3.665920e-01 -0.4728150059
#> 197 -0.1156771564 0.274636635 1.000000e+00 -0.2629351580
#> 198 0.3911396714 -0.226931782 1.909692e-01 0.2723251154
#> 199 -0.2411541073 -0.328184808 -1.015357e-05 0.1300191723
#> 200 0.0291507257 0.518333574 1.791766e-01 -0.1764927301
#> 201 -0.0994059632 -0.086923706 2.885617e-02 -0.0072344180
#> 202 -0.1651989692 -0.269915836 3.389723e-02 -0.3441340935
#> 203 -0.1970094110 -0.287387613 -9.981280e-02 0.3967960546
#> 204 0.4116730518 0.086126898 2.715384e-01 0.4089528893
#> 205 -0.1361637719 0.064435668 -4.608141e-03 -0.1460120695
#> 206 -0.1419066109 0.165165887 -2.343400e-01 -0.0602715047
#> 207 0.0989117963 0.329799415 2.272890e-01 -0.0319407791
#> 208 0.2336784369 0.304373115 1.339548e-01 0.7018232491
#> 209 -0.4828765343 0.163612472 1.261441e-01 0.0184769626
#> 210 0.5099889705 0.267995358 1.670078e-01 0.0998935709
#> 211 0.0495796283 0.098880295 -2.884816e-01 -0.0982972193
#> 212 0.2443830051 -0.012130825 -3.509948e-01 -0.3335510241
#> 213 0.2434788423 -0.025938924 3.424272e-01 -0.0818869366
#> 214 -0.0150817964 0.322107951 1.848159e-01 -0.2594344770
#> 215 -0.3677346803 0.010900797 -3.832160e-01 0.5534625803
#> 216 0.5475274154 0.534836531 2.971229e-02 0.4207661328
#> 217 -0.0966225295 0.461298226 -1.046621e-01 0.3109547515
#> 218 0.0444264676 0.317424052 2.080640e-01 0.2711098216
#> 219 -0.2517995238 -0.509116963 -1.202336e-01 -0.2768683133
#> 220 -0.1729398461 0.363976322 -1.289116e-01 -0.0294896624
#> 221 0.2628380077 -0.165688070 1.843366e-01 0.1893759886
#> 222 0.9161294185 0.195124077 5.468910e-03 0.0906063883
#> 223 0.3979363036 0.212221335 -1.796614e-01 -0.2480078149
#> 224 -0.1170063564 -0.738075852 4.809759e-02 0.0720135004
#> 225 -0.1141401157 0.102142695 2.590062e-01 -0.1835899912
#> 226 0.1859193861 -0.064039958 -9.966693e-02 0.1994307543
#> 227 -0.2946662187 -0.139879756 -4.896306e-01 -0.1939963271
#> 228 -0.2689520194 -0.086452080 4.549768e-02 0.1575692052
#> 229 0.3660264067 -0.108707489 1.691410e-01 0.0007861439
#> 230 -0.6404110846 -0.110457016 1.532136e-01 0.4133641297
#> 231 0.0068649672 0.066315394 5.179371e-01 -0.0618302970
#> 232 -0.0478616946 0.026851763 -1.518162e-02 0.1694947848
#> 233 0.0614733968 0.451946555 -3.093316e-01 -0.0024509919
#> 234 -0.0657765112 -0.193493725 -2.036833e-02 -0.0622748323
#> 235 -0.3421522388 -0.367513415 -1.193782e-01 0.2139627187
#> 236 -0.2285832561 -0.128551318 7.472238e-03 0.0426813674
#> 237 0.0450476199 -0.079276530 -1.927783e-01 -0.0588040370
#> 238 0.1382523252 0.349624445 3.597214e-01 -0.2493206442
#> 239 0.0270922459 -0.056629392 -1.668769e-01 0.1552375571
#> 240 -0.0446927499 0.028880377 1.772144e-01 -0.1180927947
#> 241 -0.2859841261 0.019730542 6.769492e-02 -0.0669653030
#> 242 -0.4777031448 -0.134887360 5.528737e-01 -0.3660797886
#> 243 -0.3394388703 0.289029027 -3.349876e-01 -0.3740944573
#> 244 0.7505610451 0.257506595 -3.192126e-01 -0.0348195908
#> 245 -0.1942266938 0.212788548 2.839766e-01 -0.2175798881
#> 246 -0.2162658061 -0.447072025 6.258055e-02 0.0554275283
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#> 481 -0.2711435062 0.253950971 -7.255028e-01 0.7236328407
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#> 484 -0.0313382562 0.057604774 -1.386084e-01 -0.5782560460
#> 485 -0.1462942647 -0.544526656 -3.212731e-01 0.2377113743
#> 486 -0.3670918806 0.158026056 5.150656e-01 0.0335343197
#> 487 0.0403540420 0.610540560 1.950205e-01 -0.0105340242
#> 488 -0.0823299085 -0.244349064 4.543275e-01 0.2984863010
#> 489 -0.2638614063 0.322061650 -8.659786e-02 -0.0290154034
#> 490 0.0919538566 -0.131546794 -2.492529e-01 0.2791061524
#> 491 0.2252388284 0.279995312 3.317766e-01 0.6213321889
#> 492 0.4234723865 -0.260570812 -2.996250e-01 -0.3787693671
#> 493 0.1518234018 0.283537964 4.341642e-01 -0.4430619078
#> 494 -0.4653840861 -0.304992604 -8.376298e-02 -0.0355259280
#> 495 -0.4915538057 -0.381403645 4.817512e-01 0.4184857848
#> 496 -0.1356943524 -0.284137412 -9.083455e-02 -0.7669864236
#> 497 0.1305728791 -0.071212208 1.735485e-01 0.1292892909
#> 498 0.0132487211 0.162529449 1.379193e-02 0.1163890803
#> 499 0.3360450529 0.367744810 2.552764e-01 0.3808624495
#> 500 -0.2319305337 -0.234794277 6.392738e-01 -0.1783423938