Methode 'Praktische Logica':
Methode van Causale analyse
Principes van Causale analyse
voor een 'N=1' steekproef:
Deductieve validiteit.
Voorspellende kracht van correlatiewaarden (uit steekproefonderzoek) voor een specifiek geval.
Zie verder ..
Tabel met
Voorbeelden van Analyse-uitkomsten:
Predictive power of sample correlation for deduction to {N=1} samples
Sample size: N= 100 ;
Max. false negative conclusion of difference (prb.): alpha= 0.010 ;
Max. sign estimation error (prb.): 0.010 ;
Min. confidence level (pct.): 99.000 .
|
Sample values
|
Population values (general)
|
Values for re-test prediction
|
Values for 'N=1' prediction
|
(1)
Min. Sample corr.
|
(2)
Min. Sample corr. cumulat. prob.
|
(3)
Max. Popul. correlation (gradient)
|
(4)
Max. Variance accounted for, total (ppt.)
|
(5)
Max. Inference improvement, average (ratio)
|
(6)
Max. Mutual information, average (bits)
|
(7)
Max. Accuracy of sign estimation, overall (pct.)
|
(8)
Max. Accuracy of upper/lower 3d estimation, overall (pct.)
|
(9)
Max. Accuracy of decile estimation, overall (pct.)
|
(10)
Max. Confidence of sign prediction, indiv. (pct.)
|
(11)
Max. Confidence of upper/lower 3d prediction, indiv. (pct.)
|
(12)
Max. Confidence of decile prediction, indiv. (pct.)
|
0.000001000
|
0.500003940
|
0.000000000
|
0.000000000
|
1.000000000
|
0.000000000
|
50.000000000
|
33.333333333
|
10.000000000
|
0.000000000
|
0.000000000
|
0.000000000
|
0.000005000
|
0.500019701
|
0.000000000
|
0.000000000
|
1.000000000
|
0.000000000
|
50.000000000
|
33.333333333
|
10.000000000
|
0.000000000
|
0.000000000
|
0.000000000
|
0.000010000
|
0.500039403
|
0.000000000
|
0.000000000
|
1.000000000
|
0.000000000
|
50.000000000
|
33.333333333
|
10.000000000
|
0.000000000
|
0.000000000
|
0.000000000
|
0.000100000
|
0.500394030
|
0.000000000
|
0.000000000
|
1.000000000
|
0.000000000
|
50.000000000
|
33.333333333
|
10.000000000
|
0.000000000
|
0.000000000
|
0.000000000
|
0.000500000
|
0.501970128
|
0.000000000
|
0.000000000
|
1.000000000
|
0.000000000
|
50.000000000
|
33.333333333
|
10.000000000
|
0.000000000
|
0.000000000
|
0.000000000
|
0.001000000
|
0.503940169
|
0.000000000
|
0.000000000
|
1.000000000
|
0.000000000
|
50.000000000
|
33.333333333
|
10.000000000
|
0.000000000
|
0.000000000
|
0.000000000
|
0.005000000
|
0.519691887
|
0.000000000
|
0.000000000
|
1.000000000
|
0.000000000
|
50.000000000
|
33.333333333
|
10.000000000
|
0.000000000
|
0.000000000
|
0.000000000
|
0.010000000
|
0.539333971
|
0.000000000
|
0.000000000
|
1.000000000
|
0.000000000
|
50.000000000
|
33.333333333
|
10.000000000
|
0.000000000
|
0.000000000
|
0.000000000
|
0.025000000
|
0.597506743
|
0.000000000
|
0.000000000
|
1.000000000
|
0.000000000
|
50.000000000
|
33.333333333
|
10.000000000
|
0.000000000
|
0.000000000
|
0.000000000
|
0.050000000
|
0.689357633
|
0.000000000
|
0.000000000
|
1.000000000
|
0.000000000
|
50.000000000
|
33.333333333
|
10.000000000
|
0.000000000
|
0.000000000
|
0.000000000
|
0.075000000
|
0.770851449
|
0.000000000
|
0.000000000
|
1.000000000
|
0.000000000
|
50.000000000
|
33.333333333
|
10.000000000
|
0.000000000
|
0.000000000
|
0.000000000
|
0.100000000
|
0.838906956
|
0.000000000
|
0.000000000
|
1.000000000
|
0.000000000
|
50.000000000
|
33.333333333
|
10.000000000
|
0.000000000
|
0.000000000
|
0.000000000
|
0.125000000
|
0.892369288
|
0.000000000
|
0.000000000
|
1.000000000
|
0.000000000
|
50.000000000
|
33.333333333
|
10.000000000
|
0.000000000
|
0.000000000
|
0.000000000
|
0.150000000
|
0.931845359
|
0.000000000
|
0.000000000
|
1.000000000
|
0.000000000
|
50.000000000
|
33.333333333
|
10.000000000
|
0.000000000
|
0.000000000
|
0.000000000
|
0.175000000
|
0.959212124
|
0.000000000
|
0.000000000
|
1.000000000
|
0.000000000
|
50.000000000
|
33.333333333
|
10.000000000
|
0.000000000
|
0.000000000
|
0.000000000
|
0.200000000
|
0.976996867
|
0.000000000
|
0.000000000
|
1.000000000
|
0.000000000
|
50.000000000
|
33.333333333
|
10.000000000
|
0.000000000
|
0.000000000
|
0.000000000
|
0.225000000
|
0.987810626
|
0.000000000
|
0.000000000
|
1.000000000
|
0.000000000
|
50.000000000
|
33.333333333
|
10.000000000
|
0.000000000
|
0.000000000
|
0.000000000
|
0.250000000
|
0.993948972
|
0.019161209
|
0.000367151
|
1.000183626
|
0.000264892
|
50.609957582
|
34.115330233
|
10.000000000
|
0.000000000
|
0.000000000
|
0.000000000
|
0.275000000
|
0.997194082
|
0.045983193
|
0.002114454
|
1.001058906
|
0.001526871
|
51.464206832
|
35.211072662
|
10.019342985
|
0.000000000
|
0.000000000
|
0.000000000
|
0.300000000
|
0.998787915
|
0.073139510
|
0.005349387
|
1.002685473
|
0.003869125
|
52.330183588
|
36.323113160
|
10.083010449
|
0.000000000
|
0.000000000
|
0.000000000
|
0.325000000
|
0.999513450
|
0.100636449
|
0.010127694
|
1.005102638
|
0.007342833
|
53.208789572
|
37.452195667
|
10.176537180
|
0.000000000
|
0.000000000
|
0.000000000
|
0.350000000
|
0.999818898
|
0.128480460
|
0.016507228
|
1.008357223
|
0.012006823
|
54.100995967
|
38.599569613
|
10.300074886
|
0.000000000
|
0.000000000
|
0.000000000
|
0.375000000
|
0.999937604
|
0.156678155
|
0.024548044
|
1.012504723
|
0.017928639
|
55.007853758
|
39.766626459
|
10.455169607
|
0.000000000
|
0.000000000
|
0.000000000
|
0.400000000
|
0.999980128
|
0.185236317
|
0.034312493
|
1.017610767
|
0.025185840
|
55.930505863
|
40.954879578
|
10.643509367
|
0.000000000
|
0.000000000
|
0.000000000
|
0.425000000
|
0.999994156
|
0.214161903
|
0.045865320
|
1.023752934
|
0.033867586
|
56.870201484
|
42.165982255
|
10.866910348
|
0.000000000
|
0.000000000
|
0.000000000
|
0.450000000
|
0.999998414
|
0.243462048
|
0.059273769
|
1.031023046
|
0.044076581
|
57.828313220
|
43.401749272
|
11.127304564
|
0.000000000
|
0.000000000
|
0.000000000
|
0.475000000
|
0.999999603
|
0.273144076
|
0.074607686
|
1.039530069
|
0.055931489
|
58.806357636
|
44.664182684
|
11.426718561
|
0.000000000
|
0.000000000
|
0.000000000
|
0.500000000
|
0.999999908
|
0.303215502
|
0.091939640
|
1.049403821
|
0.069569948
|
59.806020238
|
45.955502894
|
11.767240876
|
0.000000000
|
0.000000000
|
0.000000000
|
0.550000000
|
0.999999996
|
0.364557604
|
0.132902247
|
1.073905260
|
0.102866724
|
61.877977491
|
48.635013358
|
12.579981753
|
0.000000279
|
0.000000000
|
0.000000000
|
0.600000000
|
0.999999999
|
0.427552564
|
0.182801195
|
1.106206328
|
0.145620500
|
64.062410953
|
51.464097134
|
13.581316519
|
0.000086716
|
0.000000168
|
0.000000000
|
0.632455500
|
0.999999999
|
0.469359728
|
0.220298554
|
1.132493792
|
0.179503143
|
65.551523974
|
53.394780935
|
14.338231961
|
0.001201121
|
0.000008268
|
0.000000000
|
0.650000000
|
0.999999999
|
0.492268098
|
0.242327880
|
1.148839466
|
0.200177216
|
66.383203566
|
54.473719819
|
14.783405156
|
0.003883668
|
0.000046806
|
0.000000000
|
0.700000000
|
0.999999999
|
0.558775672
|
0.312230252
|
1.205808845
|
0.270001218
|
68.872871989
|
57.705722272
|
16.191612205
|
0.055367396
|
0.002342420
|
0.000000000
|
0.707106781
|
0.999999999
|
0.568378549
|
0.323054175
|
1.215410665
|
0.281443857
|
69.242907941
|
58.186304709
|
16.408437954
|
0.075665534
|
0.003704705
|
0.000000000
|
0.710000000
|
0.999999999
|
0.572298801
|
0.327525917
|
1.219445020
|
0.286224714
|
69.394824564
|
58.383618015
|
16.497886955
|
0.085593282
|
0.004439058
|
0.000000000
|
0.718600000
|
0.999999999
|
0.583988901
|
0.341043037
|
1.231888708
|
0.300871925
|
69.850884791
|
58.975999950
|
16.767782628
|
0.121941456
|
0.007457657
|
0.000000000
|
0.720000000
|
0.999999999
|
0.585897240
|
0.343275576
|
1.233980838
|
0.303319992
|
69.925778471
|
59.073285397
|
16.812286215
|
0.128953120
|
0.008094131
|
0.000000000
|
0.723200000
|
0.999999999
|
0.590264749
|
0.348412474
|
1.238835435
|
0.308984555
|
70.097665487
|
59.296568400
|
16.914603923
|
0.146277822
|
0.009735168
|
0.000000000
|
0.730000000
|
0.999999999
|
0.599571621
|
0.359486129
|
1.249498475
|
0.321349140
|
70.466235252
|
59.775366441
|
17.134775725
|
0.189737336
|
0.014245557
|
0.000000000
|
0.740000000
|
0.999999999
|
0.613322582
|
0.376164590
|
1.266091195
|
0.340381325
|
71.016742781
|
60.490563055
|
17.465338070
|
0.273171846
|
0.024269533
|
0.000000002
|
0.750000000
|
0.999999999
|
0.627150768
|
0.393318086
|
1.283865344
|
0.360493896
|
71.577901570
|
61.219645500
|
17.803986376
|
0.385510686
|
0.040127466
|
0.000000010
|
0.760000000
|
0.999999999
|
0.641056831
|
0.410953861
|
1.302942778
|
0.381773726
|
72.150372209
|
61.963462446
|
18.150782447
|
0.534121760
|
0.064541942
|
0.000000046
|
0.770000000
|
1.000000000
|
0.655041431
|
0.429079277
|
1.323463890
|
0.404318832
|
72.734884221
|
62.722953006
|
18.505860548
|
0.727566016
|
0.101202671
|
0.000000195
|
0.780000000
|
1.000000000
|
0.669105236
|
0.447701816
|
1.345591368
|
0.428240356
|
73.332246669
|
63.499161214
|
18.869458480
|
0.975671663
|
0.155002906
|
0.000000752
|
0.781200000
|
1.000000000
|
0.670798247
|
0.449970288
|
1.348363305
|
0.431209271
|
73.404835459
|
63.593483610
|
18.913679076
|
1.009633450
|
0.162895677
|
0.000000880
|
0.790000000
|
1.000000000
|
0.683248919
|
0.466829086
|
1.369514943
|
0.453665007
|
73.943360959
|
64.293253596
|
19.241958040
|
1.289606479
|
0.232306702
|
0.000002693
|
0.800000000
|
1.000000000
|
0.697473164
|
0.486468815
|
1.395457419
|
0.480738103
|
74.569236418
|
65.106540643
|
19.623937764
|
1.681952863
|
0.341247829
|
0.000009011
|
0.806800000
|
1.000000000
|
0.707192019
|
0.500120552
|
1.414384080
|
0.500173941
|
75.003837311
|
65.671287619
|
19.889516420
|
2.000658265
|
0.438525518
|
0.000019758
|
0.810000000
|
1.000000000
|
0.711778661
|
0.506628862
|
1.423682446
|
0.509627387
|
75.211009429
|
65.940503310
|
20.016241841
|
2.166792047
|
0.492062275
|
0.000028316
|
0.820000000
|
1.000000000
|
0.726166107
|
0.527317216
|
1.454504628
|
0.540527887
|
75.869967163
|
66.796826011
|
20.420070667
|
2.759806048
|
0.697458313
|
0.000083950
|
0.830000000
|
1.000000000
|
0.740636210
|
0.548541996
|
1.488302878
|
0.573668153
|
76.547577331
|
67.677438197
|
20.837100801
|
3.478408635
|
0.973031418
|
0.000235806
|
0.840000000
|
1.000000000
|
0.755189684
|
0.570311459
|
1.525538294
|
0.609318395
|
77.245525950
|
68.584567331
|
21.269645559
|
4.341920252
|
1.337736251
|
0.000629932
|
0.850000000
|
1.000000000
|
0.769827250
|
0.592633995
|
1.566778518
|
0.647801253
|
77.965765913
|
69.520807382
|
21.720872990
|
5.371806989
|
1.814435272
|
0.001606133
|
0.860000000
|
1.000000000
|
0.784549641
|
0.615518139
|
1.612731514
|
0.689506280
|
78.710580415
|
70.489208700
|
22.195106703
|
6.592011419
|
2.430554419
|
0.003921543
|
0.866025403
|
1.000000000
|
0.793461738
|
0.629581530
|
1.643060984
|
0.716386029
|
79.172335248
|
71.089727497
|
22.494348972
|
7.430237412
|
2.882587466
|
0.006584649
|
0.870000000
|
1.000000000
|
0.799357595
|
0.638972565
|
1.664293424
|
0.734909811
|
79.482667190
|
71.493398089
|
22.698249363
|
8.029414867
|
3.218892702
|
0.009197476
|
0.880000000
|
1.000000000
|
0.814251861
|
0.663006093
|
1.722617980
|
0.784602794
|
80.285252581
|
72.537742427
|
23.238393028
|
9.714489459
|
4.218658047
|
0.020782166
|
0.890000000
|
1.000000000
|
0.829233195
|
0.687627692
|
1.789219971
|
0.839330766
|
81.122249459
|
73.627576890
|
23.826723168
|
11.682229011
|
5.476842704
|
0.045366881
|
0.900000000
|
1.000000000
|
0.844302363
|
0.712846481
|
1.866134445
|
0.900052928
|
81.998481562
|
74.769531948
|
24.478901095
|
13.973500142
|
7.050120035
|
0.095937413
|
0.910000000
|
1.000000000
|
0.859460141
|
0.738671734
|
1.956170958
|
0.968032459
|
82.920011958
|
75.972016999
|
25.217258556
|
16.637047679
|
9.007564517
|
0.197058362
|
0.920000000
|
1.000000000
|
0.874707311
|
0.765112880
|
2.063338107
|
1.044980247
|
83.894641637
|
77.245963334
|
26.074439315
|
19.732560948
|
11.434718129
|
0.394210350
|
0.930000000
|
1.000000000
|
0.890044667
|
0.792179510
|
2.193591820
|
1.133295096
|
84.932700180
|
78.606019391
|
27.099772496
|
23.335548033
|
14.439960336
|
0.770213619
|
0.940000000
|
1.000000000
|
0.905473012
|
0.819881375
|
2.356246319
|
1.236490365
|
86.048369647
|
80.072587384
|
28.371183066
|
27.545487223
|
18.165054621
|
1.474323628
|
0.950000000
|
1.000000000
|
0.920993157
|
0.848228395
|
2.566875100
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