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Data were simulated in R, and some of the simulations do not represent data from actual normal distributions.

Usage

simulated_dist

Format

The format is: List of 4 $ d1: dataset of 100 observations. $ d2: dataset of 50 observations. $ d3: num dataset of 500 observations. $ d4: dataset of 15 observations. $ d5: num dataset of 25 observations. $ d6: dataset of 50 observations.

Examples


data(simulated_dist)
lapply(simulated_dist, qqnorm)






#> $d1
#> $d1$x
#>   [1]  0.93458929 -0.16365849 -1.05812162 -1.15034938 -0.97411388  0.51007346
#>   [7]  0.21470157 -0.42614801  0.37185609  0.29237490 -0.37185609 -1.51410189
#>  [13]  0.03760829 -0.13830421  1.69539771  0.39885507 -1.01522203  0.31863936
#>  [19] -0.26631061 -1.95996398 -1.69539771  0.16365849 -0.34512553  0.65883769
#>  [25]  1.81191067  1.10306256  0.75541503  1.15034938  0.45376219 -0.65883769
#>  [31]  0.24042603 -0.06270678 -1.10306256  1.25356544  0.18911843 -0.89647336
#>  [37] -1.37220381 -0.93458929 -0.08784484 -0.69030882  0.11303854  0.34512553
#>  [43] -0.21470157 -0.59776013  1.20035886  0.56805150 -0.51007346  0.13830421
#>  [49] -0.29237490  0.42614801 -0.18911843 -1.43953147  1.01522203 -2.57582930
#>  [55] -0.03760829 -0.11303854 -0.82389363 -0.31863936 -0.24042603 -1.31057911
#>  [61]  1.95996398  0.06270678  1.37220381  0.59776013  0.26631061 -0.72247905
#>  [67]  2.17009038  0.01253347 -1.20035886  1.51410189 -2.17009038  0.85961736
#>  [73]  1.05812162 -1.59819314  0.89647336 -0.48172685  1.43953147 -0.39885507
#>  [79]  0.53883603 -1.81191067  0.69030882  2.57582930 -0.78919165 -0.56805150
#>  [85]  0.78919165 -0.01253347 -0.85961736 -0.75541503  0.48172685  0.72247905
#>  [91]  1.31057911  1.59819314  0.08784484  0.97411388 -0.53883603  0.82389363
#>  [97] -1.25356544 -0.62800601 -0.45376219  0.62800601
#> 
#> $d1$y
#>   [1]  94.26  79.54  68.06  63.96  68.19  89.73  85.41  76.29  87.96  87.32
#>  [11]  77.23  58.01  82.76  80.17 111.07  88.07  68.12  87.58  78.14  39.64
#>  [21]  54.84  84.88  77.49  91.56 112.59  97.78  92.86 100.78  88.17  71.69
#>  [31]  86.64  80.79  64.77 103.20  84.88  69.51  60.65  68.41  80.48  71.39
#>  [41]  84.21  87.66  78.76  74.04 101.89  89.83  74.83  84.47  77.82  88.07
#>  [51]  79.19  58.31  96.49   4.27  81.02  80.36  69.74  77.78  78.58  62.12
#>  [61] 116.55  83.32 103.85  90.29  86.96  71.35 119.21  82.68  63.13 109.77
#>  [71]  30.63  93.48  97.25  56.43  94.07  74.97 105.69  76.50  89.74  47.85
#>  [81]  92.37 128.92  70.12  74.07  92.88  81.49  69.54  70.66  88.60  92.74
#>  [91] 103.38 109.85  83.35  94.64  74.30  93.15  62.33  72.77  75.63  91.18
#> 
#> 
#> $d2
#> $d2$x
#>  [1]  0.49585035 -0.61281299 -0.17637416 -0.43991317 -0.95416525  1.88079361
#>  [7] -0.49585035 -0.38532047  0.55338472  0.27931903  1.47579103  0.33185335
#> [13]  1.64485363  0.80642125  1.22652812 -0.87789630 -1.64485363  0.87789630
#> [19]  0.02506891  1.12639113 -0.22754498 -0.80642125 -1.47579103 -1.34075503
#> [25]  0.61281299 -0.07526986 -1.88079361 -1.12639113 -0.67448975 -0.73884685
#> [31]  1.34075503 -0.12566135  2.32634787 -1.22652812 -0.02506891  0.17637416
#> [37]  0.95416525  0.38532047 -1.03643339  0.12566135 -0.33185335  0.43991317
#> [43] -0.55338472  0.22754498  1.03643339 -0.27931903  0.73884685 -2.32634787
#> [49]  0.07526986  0.67448975
#> 
#> $d2$y
#>  [1] 10.410  8.256  9.035  8.487  7.985 12.801  8.367  8.619 10.431  9.883
#> [11] 12.596  9.962 12.641 11.221 12.362  8.111  5.772 11.269  9.259 12.357
#> [21]  8.928  8.173  6.020  6.590 10.582  9.163  5.017  7.320  8.195  8.181
#> [31] 12.547  9.042 13.811  7.195  9.215  9.873 11.662 10.123  7.784  9.383
#> [41]  8.754 10.248  8.332  9.878 11.794  8.868 11.171  4.703  9.362 10.648
#> 
#> 
#> $d3
#> $d3$x
#>   [1] -0.603764838 -0.493017814 -1.075837361  0.866894167 -1.287270563
#>   [6]  0.052663527 -0.266310613  0.250759572 -0.990356294 -1.084823128
#>  [11]  1.066937632  0.926858513  2.074854734  0.715985990  0.143367435
#>  [16]  0.420664620  0.409735480 -1.439531471 -0.845198535  1.926836573
#>  [21]  0.082813292  1.210727133  0.504371986  1.298836633  0.448212281
#>  [26]  1.049387085 -0.102953344 -1.334622287 -0.313369439 -0.194224628
#>  [31] -1.006864279  0.002506631  1.425544037 -0.287146694 -0.562170292
#>  [36]  1.287270563 -0.852385798  0.261119960  0.224973358 -0.382622075
#>  [41] -1.190118042 -0.245589523  0.493017814 -1.131130901 -0.404289290
#>  [46] -0.158579730 -0.302855481  0.568051498 -0.057684425 -0.573952419
#>  [51]  0.017547298 -1.425544037 -0.189118426  0.709522974 -0.214701568
#>  [56]  0.690308824  0.459326111 -0.118085389  0.585814766  1.346938626
#>  [61] -1.995393310  1.695397710 -2.365618127 -0.128188248 -2.575829304
#>  [66] -1.483280127 -0.297611102  1.716886018  0.163658486 -0.481726850
#>  [71]  0.168741468  0.476104403 -0.281926330 -1.231863709 -0.163658486
#>  [76]  1.093897353  0.276713637 -0.533048511 -1.895697924  1.580466818
#>  [81]  1.995393310  1.398376621 -0.409735480  2.170090378  0.184017151
#>  [86] -0.308108202  0.334503036  1.546433122 -0.123135248 -0.585814766
#>  [91]  0.521526572 -0.261119960 -0.527278791  0.696684917  1.253565438
#>  [96]  0.178920660  0.287146694 -0.255936332  0.573952419 -0.361133034
#> [101]  0.022561568  0.426148008  0.748763107  0.199335898 -0.153505060
#> [106]  2.365618127 -1.346938626 -0.017547298  0.230118101  0.911560735
#> [111]  0.845198535  1.221227222 -0.782365165 -0.027576406  0.481726850
#> [116]  0.087844838 -1.140687476  0.510073457  2.747781385  0.658837693
#> [121]  0.802956288  1.616436371 -0.683960672  0.266310613  0.102953344
#> [126] -1.200358858 -1.739197665  0.533048511 -2.290367878  1.359462745
#> [131] -0.889005731 -0.768820293 -1.411830078  0.538836030 -0.775574943
#> [136] -0.442676144 -0.742144154  0.437153541 -0.762100541 -0.007519956
#> [141] -0.240426031 -0.138304208  0.128188248 -0.640265509  2.033520149
#> [146]  0.057684425 -1.112321367  1.439531471 -1.563223647  0.072756358
#> [151] -0.448212281  0.355787114 -1.040731886  0.062706778  1.084823128
#> [156]  0.823893630 -1.546433122  1.895697924  1.468383798  0.209574223
#> [161] -0.755415026 -0.077783842 -0.789191653  0.677639965  0.388021666
#> [166] -0.809895915 -0.510073457 -1.580466818 -1.264641136  1.598193140
#> [171]  1.674664889  1.453806359 -1.616436371  0.077783842  1.190118042
#> [176] -1.275874179  0.235268941  0.703089460  1.264641136  0.214701568
#> [181]  1.739197665 -0.072756358 -1.032153958 -0.097914734  1.483280127
#> [186] -0.550465695 -1.058121618  0.255936332 -0.729002718 -1.695397710
#> [191]  0.366489294  0.118085389 -0.042625585  0.012533470 -2.074854734
#> [196] -0.318639364  0.775574943 -1.180000540 -0.148434341  1.275874179
#> [201]  0.889005731 -0.974113877 -1.253565438 -1.498513068  0.782365165
#> [206] -0.184017151  0.442676144  2.226211769 -0.204452382 -1.023651312
#> [211] -0.292374896  1.121676528 -0.437153541 -0.579873392  0.640265509
#> [216]  0.729002718 -2.120071690  1.131130901 -1.674664889  0.609791399
#> [221]  0.591776891  0.302855481  1.372203809 -0.966088297 -0.002506631
#> [226] -1.786613365  1.180000540 -0.012533470 -0.350451343  0.107994569
#> [231]  0.350451343 -0.609791399 -0.420664620  1.242641419 -0.715985990
#> [236]  1.170002408 -1.762410298 -0.230118101 -0.919182735  0.762100541
#> [241] -0.903991328  0.393432594 -0.665078946  0.579873392  0.646431416
#> [246] -0.859617364  1.032153958  0.240426031  0.398855066  0.123135248
#> [251] -1.298836633 -0.092878609 -0.143367435 -1.385171608 -0.393432594
#> [256] -0.634123849 -0.671346215 -0.377233617 -1.926836573 -0.334503036
#> [261] -1.635234015  0.603764838 -1.530067588  1.866295743 -1.398376621
#> [266]  1.103062556  0.982202695 -0.371856089 -1.160119883 -0.735557557
#> [271]  0.966088297  1.322505137 -0.556308467 -0.487364565 -0.235268941
#> [276] -0.830953321 -0.067730713 -0.748763107  1.635234015 -1.468383798
#> [281]  0.852385798 -0.866894167 -0.464904288 -0.597760126 -0.621911596
#> [286]  0.318639364 -0.329205984  1.006864279 -0.209574223  1.563223647
#> [291]  0.007519956 -0.415193851  0.838054670 -1.121676528 -0.911560735
#> [296] -3.090232306 -0.178920660 -0.276713637 -0.398855066 -2.457263390
#> [301]  0.313369439  2.457263390 -0.982202695  0.809895915  1.530067588
#> [306]  1.310579112 -1.654627902 -1.093897353  1.150349380 -1.322505137
#> [311] -0.047643956  0.148434341 -1.221227222  0.415193851  0.498686864
#> [316] -0.958124465  0.158579730  0.735557557 -0.926858513  1.838423669
#> [321] -1.453806359  0.329205984 -0.366489294 -0.199335898  0.323918153
#> [326] -0.709522974  1.654627902  0.173828813  0.597760126  0.990356294
#> [331] -0.677639965  1.498513068 -1.514101888 -0.703089460  0.628006014
#> [336]  0.683960672  0.092878609 -1.372203809  0.404289290  0.371856089
#> [341] -1.716886018  0.722479052  0.189118426 -0.504371986 -2.170090378
#> [346]  1.959963985 -1.866295743 -1.959963985  0.067730713  0.896473364
#> [351]  0.042625585  0.527278791  0.027576406 -1.049387085  0.830953321
#> [356] -0.133244524  0.816874766  0.958124465  0.037608288  0.047643956
#> [361]  1.023651312 -0.628006014  2.120071690 -0.521526572 -1.242641419
#> [366] -0.323918153  0.515791557  1.811910673  0.665078946 -0.345125531
#> [371]  0.097914734 -0.431644239  0.339809491  0.297611102 -0.950220942
#> [376] -0.052663527  0.487364565 -0.032591937 -0.896473364 -0.796055117
#> [381] -1.310579112 -0.802956288  0.950220942 -0.224973358 -0.271508452
#> [386] -0.459326111  0.634123849 -0.498686864  0.544641655  0.194224628
#> [391] -1.170002408 -0.942376333  0.934589291  0.652621998  0.204452382
#> [396]  0.550465695 -0.113038541  0.796055117 -0.062706778  1.160119883
#> [401] -1.103062556  0.903991328  0.153505060 -0.355787114 -1.359462745
#> [406] -0.591776891  0.859617364 -0.838054670  0.133244524 -1.838423669
#> [411]  0.345125531 -0.881587347 -0.476104403  0.556308467  0.942376333
#> [416]  1.514101888 -0.426148008 -0.250759572  0.562170292  0.032591937
#> [421] -0.823893630 -2.747781385  0.361133034 -1.150349380  0.998576271
#> [426]  0.881587347 -1.015222033 -0.816874766 -0.722479052  0.755415026
#> [431]  1.786613365 -0.022561568 -0.087844838  0.974113877 -0.339809491
#> [436]  1.140687476  0.138304208  1.385171608  1.411830078  0.768820293
#> [441]  0.308108202  0.245589523  0.742144154  0.113038541  1.762410298
#> [446]  0.453762190  1.200358858 -0.646431416 -0.568051498 -1.598193140
#> [451]  1.112321367  0.271508452  0.615840189  1.015222033 -0.168741468
#> [456] -0.219834564 -0.107994569  0.464904288 -0.934589291  0.919182735
#> [461] -0.690308824 -0.696684917  0.671346215  1.058121618 -1.066937632
#> [466]  1.334622287 -0.544641655 -0.615840189 -0.658837693 -0.453762190
#> [471] -0.082813292 -0.515791557  0.219834564  2.575829304  0.789191653
#> [476]  0.621911596 -0.874217165  3.090232306  0.431644239 -0.652621998
#> [481] -0.388021666 -0.538836030 -0.998576271 -1.210727133 -2.033520149
#> [486]  1.040731886  1.075837361 -0.470496968  2.290367878 -0.173828813
#> [491] -1.811910673  0.377233617  0.292374896  0.874217165 -2.226211769
#> [496] -0.037608288  0.382622075  0.281926330  1.231863709  0.470496968
#> 
#> $d3$y
#>   [1] -2.271 -2.205 -2.516 -1.583 -2.641 -1.948 -2.109 -1.847 -2.484 -2.523
#>  [11] -1.458 -1.544 -0.976 -1.652 -1.894 -1.781 -1.788 -2.733 -2.422 -1.015
#>  [21] -1.939 -1.381 -1.754 -1.358 -1.770 -1.460 -2.018 -2.659 -2.137 -2.064
#>  [31] -2.503 -1.969 -1.309 -2.121 -2.247 -1.361 -2.423 -1.846 -1.851 -2.164
#>  [41] -2.579 -2.094 -1.758 -2.553 -2.175 -2.037 -2.134 -1.728 -2.008 -2.269
#>  [51] -1.962 -2.729 -2.063 -1.657 -2.076 -1.678 -1.766 -2.022 -1.716 -1.330
#>  [61] -3.047 -1.198 -3.141 -2.026 -3.251 -2.766 -2.127 -1.191 -1.879 -2.203
#>  [71] -1.871 -1.762 -2.114 -2.617 -2.041 -1.446 -1.844 -2.224 -3.023 -1.231
#>  [81] -1.001 -1.324 -2.180 -0.937 -1.862 -2.136 -1.821 -1.245 -2.025 -2.270
#>  [91] -1.746 -2.103 -2.224 -1.676 -1.369 -1.865 -1.841 -2.098 -1.728 -2.152
#> [101] -1.959 -1.781 -1.635 -1.856 -2.037 -0.793 -2.663 -1.976 -1.851 -1.548
#> [111] -1.594 -1.375 -2.372 -1.983 -1.761 -1.937 -2.559 -1.753 -0.600 -1.688
#> [121] -1.605 -1.215 -2.310 -1.846 -1.919 -2.582 -2.923 -1.740 -3.141 -1.330
#> [131] -2.460 -2.361 -2.727 -1.740 -2.372 -2.187 -2.339 -1.777 -2.358 -1.973
#> [141] -2.094 -2.028 -1.905 -2.289 -1.001 -1.948 -2.550 -1.304 -2.810 -1.943
#> [151] -2.190 -1.809 -2.509 -1.948 -1.455 -1.600 -2.810 -1.021 -1.264 -1.853
#> [161] -2.357 -2.012 -2.379 -1.681 -1.795 -2.390 -2.217 -2.812 -2.625 -1.219
#> [171] -1.210 -1.303 -2.825 -1.940 -1.388 -2.627 -1.850 -1.661 -1.369 -1.853
#> [181] -1.177 -2.011 -2.505 -2.017 -1.262 -2.238 -2.513 -1.847 -2.333 -2.874
#> [191] -1.802 -1.914 -2.002 -1.963 -3.067 -2.139 -1.611 -2.574 -2.037 -1.368
#> [201] -1.574 -2.480 -2.620 -2.770 -1.608 -2.062 -1.773 -0.881 -2.073 -2.505
#> [211] -2.122 -1.438 -2.187 -2.270 -1.692 -1.647 -3.085 -1.436 -2.867 -1.702
#> [221] -1.708 -1.837 -1.327 -2.478 -1.971 -2.941 -1.395 -1.975 -2.145 -1.919
#> [231] -1.810 -2.276 -2.183 -1.370 -2.328 -1.408 -2.925 -2.092 -2.462 -1.629
#> [241] -2.461 -1.795 -2.299 -1.725 -1.690 -2.434 -1.472 -1.849 -1.793 -1.906
#> [251] -2.643 -2.016 -2.032 -2.696 -2.169 -2.285 -2.301 -2.154 -3.027 -2.141
#> [261] -2.835 -1.704 -2.788 -1.029 -2.727 -1.444 -1.508 -2.153 -2.570 -2.339
#> [271] -1.515 -1.356 -2.242 -2.204 -2.093 -2.410 -2.009 -2.357 -1.214 -2.751
#> [281] -1.587 -2.438 -2.194 -2.271 -2.278 -1.829 -2.140 -1.503 -2.075 -1.235
#> [291] -1.965 -2.183 -1.596 -2.551 -2.462 -3.723 -2.059 -2.113 -2.174 -3.183
#> [301] -1.831 -0.748 -2.482 -1.605 -1.250 -1.358 -2.845 -2.539 -1.431 -2.654
#> [311] -2.003 -1.891 -2.593 -1.782 -1.756 -2.477 -1.882 -1.637 -2.467 -1.089
#> [321] -2.739 -1.822 -2.153 -2.073 -1.828 -2.325 -1.213 -1.869 -1.708 -1.508
#> [331] -2.310 -1.262 -2.788 -2.320 -1.697 -1.681 -1.935 -2.677 -1.792 -1.802
#> [341] -2.876 -1.652 -1.861 -2.209 -3.094 -1.013 -2.992 -3.040 -1.948 -1.572
#> [351] -1.950 -1.742 -1.958 -2.513 -1.599 -2.027 -1.605 -1.520 -1.955 -1.950
#> [361] -1.474 -2.284 -0.960 -2.222 -2.618 -2.140 -1.752 -1.108 -1.687 -2.145
#> [371] -1.921 -2.184 -1.818 -1.840 -2.474 -2.005 -1.760 -1.991 -2.461 -2.383
#> [381] -2.652 -2.385 -1.529 -2.079 -2.112 -2.192 -1.696 -2.206 -1.737 -1.858
#> [391] -2.573 -2.474 -1.539 -1.689 -1.854 -1.737 -2.021 -1.606 -2.009 -1.419
#> [401] -2.550 -1.558 -1.887 -2.149 -2.666 -2.271 -1.587 -2.419 -1.902 -2.953
#> [411] -1.811 -2.449 -2.200 -1.736 -1.537 -1.260 -2.184 -2.096 -1.730 -1.958
#> [421] -2.400 -3.378 -1.808 -2.565 -1.508 -1.577 -2.504 -2.399 -2.333 -1.634
#> [431] -1.110 -1.980 -2.014 -1.509 -2.143 -1.432 -1.899 -1.325 -1.320 -1.617
#> [441] -1.834 -1.849 -1.636 -1.916 -1.166 -1.768 -1.388 -2.293 -2.254 -2.814
#> [451] -1.440 -1.846 -1.699 -1.499 -2.043 -2.077 -2.020 -1.765 -2.472 -1.547
#> [461] -2.317 -2.318 -1.686 -1.460 -2.514 -1.343 -2.233 -2.277 -2.298 -2.191
#> [471] -2.014 -2.219 -1.853 -0.720 -1.607 -1.699 -2.443 -0.588 -1.780 -2.298
#> [481] -2.168 -2.230 -2.497 -2.585 -3.055 -1.472 -1.456 -2.195 -0.845 -2.057
#> [491] -2.952 -1.802 -1.841 -1.580 -3.105 -1.996 -1.799 -1.844 -1.373 -1.764
#> 
#> 
#> $d4
#> $d4$x
#>  [1]  0.0000000 -0.7279133  0.7279133  0.1678940 -1.2815516 -0.3406948
#>  [7] -0.5244005  1.8339146  1.2815516 -0.9674216 -0.1678940  0.9674216
#> [13] -1.8339146  0.5244005  0.3406948
#> 
#> $d4$y
#>  [1]  -2.428  -9.492  22.085   0.348 -11.842  -7.309  -8.679  62.640  44.868
#> [10] -11.637  -3.771  29.815 -15.360  15.987   0.455
#> 
#> 
#> $d5
#> $d5$x
#>  [1] -0.4124631  1.2815516  0.5244005  0.1004337  2.0537489 -1.0803193
#>  [7]  0.2018935  0.0000000 -0.9153651 -1.5547736  0.4124631  0.7721932
#> [13]  0.6433454 -0.6433454 -2.0537489 -0.2018935 -0.5244005  1.0803193
#> [19]  0.9153651 -0.1004337  0.3054808  1.5547736 -0.3054808 -0.7721932
#> [25] -1.2815516
#> 
#> $d5$y
#>  [1] 0.12518967 1.38523336 0.42932262 0.21216231 2.53849858 0.04294709
#>  [7] 0.21375044 0.17849823 0.07541986 0.03460717 0.23392294 0.59369095
#> [13] 0.49266181 0.11147559 0.03079079 0.17256864 0.12017394 0.89772151
#> [19] 0.74596607 0.17359324 0.21682191 1.58918002 0.16736924 0.08512960
#> [25] 0.04107185
#> 
#> 
#> $d6
#> $d6$x
#>  [1]  0.87789630 -0.95416525  1.47579103 -0.17637416 -1.64485363  0.49585035
#>  [7]  0.38532047  0.55338472  0.17637416 -0.22754498 -0.87789630  0.73884685
#> [13]  1.34075503  0.07526986  1.22652812 -0.02506891  0.43991317  2.32634787
#> [19] -0.27931903  0.12566135 -0.55338472 -0.61281299 -1.12639113 -0.43991317
#> [25] -0.49585035  0.22754498 -1.03643339 -1.34075503  0.61281299  0.95416525
#> [31] -0.33185335 -0.73884685 -2.32634787 -0.80642125 -1.22652812 -0.67448975
#> [37]  1.12639113  1.88079361  1.64485363  0.02506891 -1.47579103  0.80642125
#> [43] -0.07526986 -1.88079361  0.27931903 -0.38532047  1.03643339  0.33185335
#> [49]  0.67448975 -0.12566135
#> 
#> $d6$y
#>  [1] 14.979326  9.946512 15.267467 13.884563  8.135965 14.765309 14.629173
#>  [8] 14.796962 14.408737 13.766357 10.659862 14.946915 15.157319 14.236819
#> [15] 15.151479 14.210461 14.759770 15.651468 13.575074 14.374748 11.889450
#> [22] 11.751174  9.527796 12.479665 12.148917 14.418519  9.778454  9.366277
#> [29] 14.817677 14.989029 13.424924 11.140661  4.230451 10.704645  9.469232
#> [36] 11.718060 15.108169 15.596360 15.511591 14.215638  9.088439 14.947458
#> [43] 14.115836  6.887186 14.611961 12.864070 15.016325 14.616036 14.879602
#> [50] 14.107728
#> 
#>