1. Exploratory Data Analysis
1.4. EDA Case Studies
1.4.2. Case Studies
1.4.2.1. Normal Random Numbers

1.4.2.1.1.

Background and Data

Generation

The normal random numbers used in this case study are from a Rand Corporation publication.

The motivation for studying a set of normal random numbers is to illustrate the ideal case where all four underlying assumptions hold.

Software

The analyses used in this case study can be generated using both Dataplot code and R code. The reader can download the data as a text file.

Data

The following is the set of normal random numbers used for this case study.

 -1.2760 -1.2180 -0.4530 -0.3500  0.7230
  0.6760 -1.0990 -0.3140 -0.3940 -0.6330
 -0.3180 -0.7990 -1.6640  1.3910  0.3820
  0.7330  0.6530  0.2190 -0.6810  1.1290
 -1.3770 -1.2570  0.4950 -0.1390 -0.8540
  0.4280 -1.3220 -0.3150 -0.7320 -1.3480
  2.3340 -0.3370 -1.9550 -0.6360 -1.3180
 -0.4330  0.5450  0.4280 -0.2970  0.2760
 -1.1360  0.6420  3.4360 -1.6670  0.8470
 -1.1730 -0.3550  0.0350  0.3590  0.9300
  0.4140 -0.0110  0.6660 -1.1320 -0.4100
 -1.0770  0.7340  1.4840 -0.3400  0.7890
 -0.4940  0.3640 -1.2370 -0.0440 -0.1110
 -0.2100  0.9310  0.6160 -0.3770 -0.4330
  1.0480  0.0370  0.7590  0.6090 -2.0430
 -0.2900  0.4040 -0.5430  0.4860  0.8690
  0.3470  2.8160 -0.4640 -0.6320 -1.6140
  0.3720 -0.0740 -0.9160  1.3140 -0.0380
  0.6370  0.5630 -0.1070  0.1310 -1.8080
 -1.1260  0.3790  0.6100 -0.3640 -2.6260
  2.1760  0.3930 -0.9240  1.9110 -1.0400
 -1.1680  0.4850  0.0760 -0.7690  1.6070
 -1.1850 -0.9440 -1.6040  0.1850 -0.2580
 -0.3000 -0.5910 -0.5450  0.0180 -0.4850
  0.9720  1.7100  2.6820  2.8130 -1.5310
 -0.4900  2.0710  1.4440 -1.0920  0.4780
  1.2100  0.2940 -0.2480  0.7190  1.1030
  1.0900  0.2120 -1.1850 -0.3380 -1.1340
  2.6470  0.7770  0.4500  2.2470  1.1510
 -1.6760  0.3840  1.1330  1.3930  0.8140
  0.3980  0.3180 -0.9280  2.4160 -0.9360
  1.0360  0.0240 -0.5600  0.2030 -0.8710
  0.8460 -0.6990 -0.3680  0.3440 -0.9260
 -0.7970 -1.4040 -1.4720 -0.1180  1.4560
  0.6540 -0.9550  2.9070  1.6880  0.7520
 -0.4340  0.7460  0.1490 -0.1700 -0.4790
  0.5220  0.2310 -0.6190 -0.2650  0.4190
  0.5580 -0.5490  0.1920 -0.3340  1.3730
 -1.2880 -0.5390 -0.8240  0.2440 -1.0700
  0.0100  0.4820 -0.4690 -0.0900  1.1710
  1.3720  1.7690 -1.0570  1.6460  0.4810
 -0.6000 -0.5920  0.6100 -0.0960 -1.3750
  0.8540 -0.5350  1.6070  0.4280 -0.6150
  0.3310 -0.3360 -1.1520  0.5330 -0.8330
 -0.1480 -1.1440  0.9130  0.6840  1.0430
  0.5540 -0.0510 -0.9440 -0.4400 -0.2120
 -1.1480 -1.0560  0.6350 -0.3280 -1.2210
  0.1180 -2.0450 -1.9770 -1.1330  0.3380
  0.3480  0.9700 -0.0170  1.2170 -0.9740
 -1.2910 -0.3990 -1.2090 -0.2480  0.4800
  0.2840  0.4580  1.3070 -1.6250 -0.6290
 -0.5040 -0.0560 -0.1310  0.0480  1.8790
 -1.0160  0.3600 -0.1190  2.3310  1.6720
 -1.0530  0.8400 -0.2460  0.2370 -1.3120
  1.6030 -0.9520 -0.5660  1.6000  0.4650
  1.9510  0.1100  0.2510  0.1160 -0.9570
 -0.1900  1.4790 -0.9860  1.2490  1.9340
  0.0700 -1.3580 -1.2460 -0.9590 -1.2970
 -0.7220  0.9250  0.7830 -0.4020  0.6190
  1.8260  1.2720 -0.9450  0.4940  0.0500
 -1.6960  1.8790  0.0630  0.1320  0.6820
  0.5440 -0.4170 -0.6660 -0.1040 -0.2530
 -2.5430 -1.3330  1.9870  0.6680  0.3600
  1.9270  1.1830  1.2110  1.7650  0.3500
 -0.3590  0.1930 -1.0230 -0.2220 -0.6160
 -0.0600 -1.3190  0.7850 -0.4300 -0.2980
  0.2480 -0.0880 -1.3790  0.2950 -0.1150
 -0.6210 -0.6180  0.2090  0.9790  0.9060
 -0.0990 -1.3760  1.0470 -0.8720 -2.2000
 -1.3840  1.4250 -0.8120  0.7480 -1.0930
 -0.4630 -1.2810 -2.5140  0.6750  1.1450
  1.0830 -0.6670 -0.2230 -1.5920 -1.2780
  0.5030  1.4340  0.2900  0.3970 -0.8370
 -0.9730 -0.1200 -1.5940 -0.9960 -1.2440
 -0.8570 -0.3710 -0.2160  0.1480 -2.1060
 -1.4530  0.6860 -0.0750 -0.2430 -0.1700
 -0.1220  1.1070 -1.0390 -0.6360 -0.8600
 -0.8950 -1.4580 -0.5390 -0.1590 -0.4200
  1.6320  0.5860 -0.4680 -0.3860 -0.3540
  0.2030 -1.2340  2.3810 -0.3880 -0.0630
  2.0720 -1.4450 -0.6800  0.2240 -0.1200
  1.7530 -0.5710  1.2230 -0.1260  0.0340
 -0.4350 -0.3750 -0.9850 -0.5850 -0.2030
 -0.5560  0.0240  0.1260  1.2500 -0.6150
  0.8760 -1.2270 -2.6470 -0.7450  1.7970
 -1.2310  0.5470 -0.6340 -0.8360 -0.7190
  0.8330  1.2890 -0.0220 -0.4310  0.5820
  0.7660 -0.5740 -1.1530  0.5200 -1.0180
 -0.8910  0.3320 -0.4530 -1.1270  2.0850
 -0.7220 -1.5080  0.4890 -0.4960 -0.0250
  0.6440 -0.2330 -0.1530  1.0980  0.7570
 -0.0390 -0.4600  0.3930  2.0120  1.3560
  0.1050 -0.1710 -0.1100 -1.1450  0.8780
 -0.9090 -0.3280  1.0210 -1.6130  1.5600
 -1.1920  1.7700 -0.0030  0.3690  0.0520
  0.6470  1.0290  1.5260  0.2370 -1.3280
 -0.0420  0.5530  0.7700  0.3240 -0.4890
 -0.3670  0.3780  0.6010 -1.9960 -0.7380
  0.4980  1.0720  1.5670  0.3020  1.1570
 -0.7200  1.4030  0.6980 -0.3700 -0.5510