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 |
1.360013098 |
87.262060719 |
81.675558798 |
30.019381455 |
32.500402227 |
22.803861978 |
2.775032860 |
0.960000000 |
1.000000000 |
0.936605924 |
0.877230657 |
2.854007009 |
1.512988878 |
88.605089707 |
83.461872733 |
32.282696087 |
38.405392820 |
28.638724111 |
5.160816868 |
0.970000000
|
1.000000000 |
0.952312145
|
0.906898422 |
3.277339868 |
1.712525291 |
90.130158295 |
85.513079657 |
35.651972674 |
45.596135229 |
36.120896821 |
9.551065334 |
0.980000000 |
1.000000000 |
0.968112662 |
0.937242127 |
3.991773524 |
1.997029870 |
91.939998888 |
87.995845269 |
41.354218981 |
54.711136133 |
46.087188926 |
17.819811103 |
0.987750000 |
1.000000000 |
0.980423462 |
0.961230165 |
5.078705446 |
2.344460803 |
93.691238296 |
90.482061252 |
49.814626624 |
64.029001693 |
56.710850265 |
29.606933516 |
0.990000000 |
1.000000000 |
0.984008326 |
0.968272386 |
5.614114932 |
2.489058599 |
94.299767855 |
91.375831000 |
53.802114625 |
67.361762535 |
60.596047262 |
34.629220146 |
0.991000000 |
1.000000000 |
0.985603159 |
0.971413587 |
5.914529083 |
2.564263305 |
94.592193473 |
91.812598459 |
55.973499653 |
68.978408734 |
62.494465369 |
37.211306186 |
0.992000000 |
1.000000000 |
0.987198952 |
0.974561772 |
6.269841693 |
2.648429016 |
94.901384624 |
92.280256477 |
58.474694266 |
70.697661337 |
64.522504882 |
40.058217620 |
0.993000000 |
1.000000000 |
0.988795708 |
0.977716952 |
6.699042095 |
2.743954817 |
95.230600919 |
92.785475830 |
61.393160286 |
72.538824000 |
66.704132747 |
43.218606911 |
0.994000000 |
1.000000000 |
0.990393426 |
0.980879138 |
7.231797798 |
2.854354340 |
95.584319180 |
93.337461230 |
64.850526073 |
74.528360428 |
69.072147030 |
46.758184350 |
0.995000000 |
1.000000000 |
0.991992107 |
0.984048342 |
7.917664331 |
2.985074905 |
95.968984443 |
93.949396737 |
69.019525531 |
76.704299285 |
71.673596478 |
50.769956796 |
0.996000000 |
1.000000000 |
0.993591753 |
0.987224573 |
8.847331411 |
3.145242365 |
96.394488291 |
94.641019690 |
74.147818002 |
79.124898165 |
74.580433132 |
55.394246509 |
0.997000000 |
1.000000000 |
0.995192365 |
0.990407843 |
10.210379455 |
3.351964577 |
96.877481620 |
95.443378305 |
80.575905589 |
81.888042497 |
77.913347748 |
60.863249362 |
0.997500000 |
1.000000000 |
0.995993033 |
0.992002122 |
11.181823172 |
3.483083530 |
97.149519213 |
95.900892701 |
84.392969247 |
83.450791957 |
79.804500688 |
64.038021572 |
0.998000000 |
1.000000000 |
0.996793942 |
0.993598164 |
12.498207913 |
3.643649340 |
97.450430506 |
96.407369409 |
88.629293495 |
85.184229696 |
81.906826255 |
67.622012304 |
0.998500000 |
1.000000000 |
0.997595094 |
0.995195972 |
14.427704393 |
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15.107840734 |
99.999098559 |
99.998798079 |
99.998377407 |
99.994742453 |
99.993560846 |
99.988243767 |
0.999999999 |
1.000000000 |
0.999999999 |
0.999999999 |
55832.006398949 |
15.768804781 |
99.999429879 |
99.999239838 |
99.998973782 |
99.996674835 |
99.995927521 |
99.992564706 |
|