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= 5000 ;
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 |
0.500028218 |
0.000000000 |
0.000000000 |
1.000000000 |
0.000000000 |
50.000000000 |
33.333333333 |
10.000000000 |
0.000000000 |
0.000000000 |
0.000000000 |
0.000005000 |
0.500141093 |
0.000000000 |
0.000000000 |
1.000000000 |
0.000000000 |
50.000000000 |
33.333333333 |
10.000000000 |
0.000000000 |
0.000000000 |
0.000000000 |
0.000010000 |
0.500282187 |
0.000000000 |
0.000000000 |
1.000000000 |
0.000000000 |
50.000000000 |
33.333333333 |
10.000000000 |
0.000000000 |
0.000000000 |
0.000000000 |
0.000100000 |
0.502821762 |
0.000000000 |
0.000000000 |
1.000000000 |
0.000000000 |
50.000000000 |
33.333333333 |
10.000000000 |
0.000000000 |
0.000000000 |
0.000000000 |
0.000500000 |
0.514104260 |
0.000000000 |
0.000000000 |
1.000000000 |
0.000000000 |
50.000000000 |
33.333333333 |
10.000000000 |
0.000000000 |
0.000000000 |
0.000000000 |
0.001000000 |
0.528187351 |
0.000000000 |
0.000000000 |
1.000000000 |
0.000000000 |
50.000000000 |
33.333333333 |
10.000000000 |
0.000000000 |
0.000000000 |
0.000000000 |
0.005000000 |
0.638123789 |
0.000000000 |
0.000000000 |
1.000000000 |
0.000000000 |
50.000000000 |
33.333333333 |
10.000000000 |
0.000000000 |
0.000000000 |
0.000000000 |
0.010000000 |
0.760203717 |
0.000000000 |
0.000000000 |
1.000000000 |
0.000000000 |
50.000000000 |
33.333333333 |
10.000000000 |
0.000000000 |
0.000000000 |
0.000000000 |
0.025000000 |
0.961433196 |
0.000000000 |
0.000000000 |
1.000000000 |
0.000000000 |
50.000000000 |
33.333333333 |
10.000000000 |
0.000000000 |
0.000000000 |
0.000000000 |
0.050000000
|
0.999789930 |
0.017124465
|
0.000293247 |
1.000146655 |
0.000211564 |
50.545115300 |
34.032199103 |
10.000000000 |
0.000000000 |
0.000000000 |
0.000000000 |
0.075000000 |
0.999999862 |
0.042200433 |
0.001780876 |
1.000891629 |
0.001285776 |
51.343680543 |
35.056364970 |
10.012786019 |
0.000000000 |
0.000000000 |
0.000000000 |
0.100000000 |
0.999999999 |
0.067317792 |
0.004531685 |
1.002273572 |
0.003276349 |
52.144413614 |
36.084487636 |
10.066903415 |
0.000000000 |
0.000000000 |
0.000000000 |
0.125000000 |
0.999999999 |
0.092476645 |
0.008551929 |
1.004303587 |
0.006195442 |
52.947834883 |
37.116763979 |
10.145845940 |
0.000000000 |
0.000000000 |
0.000000000 |
0.150000000 |
1.000000000 |
0.117677094 |
0.013847898 |
1.006996700 |
0.010058956 |
53.754477759 |
38.153851085 |
10.248673942 |
0.000000000 |
0.000000000 |
0.000000000 |
0.175000000 |
1.000000000 |
0.142919242 |
0.020425909 |
1.010372123 |
0.014886739 |
54.564892021 |
39.196462487 |
10.375692312 |
0.000000000 |
0.000000000 |
0.000000000 |
0.200000000 |
1.000000000 |
0.168203194 |
0.028292314 |
1.014453584 |
0.020702857 |
55.379647424 |
40.245341715 |
10.527360084 |
0.000000000 |
0.000000000 |
0.000000000 |
0.225000000 |
1.000000000 |
0.193529052 |
0.037453494 |
1.019269758 |
0.027535924 |
56.199337629 |
41.301263975 |
10.704172192 |
0.000000000 |
0.000000000 |
0.000000000 |
0.250000000 |
1.000000000 |
0.218896922 |
0.047915862 |
1.024854789 |
0.035419511 |
57.024584559 |
42.365041452 |
10.906649812 |
0.000000000 |
0.000000000 |
0.000000000 |
0.275000000 |
1.000000000 |
0.244306908 |
0.059685865 |
1.031248946 |
0.044392645 |
57.856043257 |
43.437529197 |
11.135328247 |
0.000000000 |
0.000000000 |
0.000000000 |
0.300000000 |
1.000000000 |
0.269759114 |
0.072769980 |
1.038499419 |
0.054500409 |
58.694407380 |
44.519631745 |
11.390742155 |
0.000000000 |
0.000000000 |
0.000000000 |
0.325000000 |
1.000000000 |
0.295253647 |
0.087174716 |
1.046661307 |
0.065794671 |
59.540415452 |
45.612310637 |
11.673407987 |
0.000000000 |
0.000000000 |
0.000000000 |
0.350000000 |
1.000000000 |
0.320790612 |
0.102906617 |
1.055798822 |
0.078334962 |
60.394858059 |
46.716593054 |
11.983803558 |
0.000000000 |
0.000000000 |
0.000000000 |
0.375000000 |
1.000000000 |
0.346370115 |
0.119972256 |
1.065986778 |
0.092189544 |
61.258586190 |
47.833581863 |
12.322344839 |
0.000000029 |
0.000000000 |
0.000000000 |
0.400000000 |
1.000000000 |
0.371992262 |
0.138378243 |
1.077312432 |
0.107436707 |
62.132521013 |
48.964467404 |
12.689360288 |
0.000000639 |
0.000000000 |
0.000000000 |
0.425000000 |
1.000000000 |
0.397657160 |
0.158131217 |
1.089877776 |
0.124166354 |
63.017665396 |
50.110541487 |
13.085063395 |
0.000007930 |
0.000000004 |
0.000000000 |
0.450000000 |
1.000000000 |
0.423364916 |
0.179237852 |
1.103802416 |
0.142481948 |
63.915117638 |
51.273214197 |
13.509524595 |
0.000063883 |
0.000000107 |
0.000000000 |
0.475000000 |
1.000000000 |
0.449115637 |
0.201704856 |
1.119227200 |
0.162502929 |
64.826087966 |
52.454034272 |
13.962644464 |
0.000367573 |
0.000001434 |
0.000000000 |
0.500000000 |
1.000000000 |
0.474909432 |
0.225538969 |
1.136318860 |
0.184367723 |
65.751918541 |
53.654714116 |
14.444131126 |
0.001620276 |
0.000012869 |
0.000000000 |
0.550000000 |
1.000000000 |
0.526626675 |
0.277335655 |
1.176336807 |
0.234301190 |
67.654341645 |
56.123515087 |
15.490005527 |
0.017267339 |
0.000422285 |
0.000000000 |
0.600000000 |
1.000000000 |
0.578517515 |
0.334682515 |
1.225986058 |
0.293942573 |
69.636855531 |
58.697987891 |
16.640876066 |
0.103583781 |
0.005871730 |
0.000000000 |
0.632455500 |
1.000000000 |
0.612293704 |
0.374903580 |
1.264813505 |
0.338924677 |
70.975298973 |
60.436719189 |
17.440389750 |
0.266030943 |
0.023348331 |
0.000000001 |
0.650000000 |
1.000000000 |
0.630582825 |
0.397634700 |
1.288457290 |
0.365644715 |
71.718408589 |
61.402204628 |
17.888995937 |
0.418579433 |
0.045244681 |
0.000000015 |
0.700000000 |
1.000000000 |
0.682823489 |
0.466247917 |
1.368769151 |
0.452879150 |
73.924820231 |
64.269161261 |
19.230649888 |
1.279115207 |
0.229573034 |
0.000002595 |
0.707106781 |
1.000000000 |
0.690263033 |
0.476463055 |
1.382058202 |
0.466818373 |
74.250518802 |
64.692384711 |
19.429357285 |
1.472715146 |
0.281566387 |
0.000004930 |
0.710000000 |
1.000000000 |
0.693292742 |
0.480654826 |
1.387624471 |
0.472617188 |
74.384070279 |
64.865926998 |
19.510875088 |
1.557948839 |
0.305456308 |
0.000006366 |
0.718600000 |
1.000000000 |
0.702301943 |
0.493228020 |
1.404732734 |
0.490295668 |
74.784434602 |
65.386181180 |
19.755402291 |
1.834819106 |
0.386985793 |
0.000013362 |
0.720000000 |
1.000000000 |
0.703769052 |
0.495290879 |
1.407600535 |
0.493237968 |
74.850101807 |
65.471513243 |
19.795533496 |
1.883383127 |
0.401876127 |
0.000015038 |
0.723200000
|
1.000000000 |
0.707122963
|
0.500022884 |
1.414245927 |
0.500033016 |
75.000728446 |
65.667247736 |
19.887615436 |
1.998236494 |
0.437758973 |
0.000019650 |
0.730000000 |
1.000000000 |
0.714252426 |
0.510156528 |
1.428799658 |
0.514803640 |
75.323314566 |
66.086442564 |
20.084978551 |
2.260818398 |
0.523173305 |
0.000034286 |
0.740000000 |
1.000000000 |
0.724742870 |
0.525252228 |
1.451337887 |
0.537383433 |
75.804145504 |
66.711288268 |
20.379670509 |
2.696008084 |
0.674350228 |
0.000075600 |
0.750000000 |
1.000000000 |
0.735240393 |
0.540578436 |
1.475347456 |
0.561054760 |
76.293073859 |
67.346681566 |
20.680199296 |
3.195073436 |
0.861134632 |
0.000161522 |
0.760000000 |
1.000000000 |
0.745745001 |
0.556135607 |
1.500979796 |
0.585904558 |
76.790627165 |
67.993320078 |
20.987312325 |
3.764523960 |
1.090048127 |
0.000334995 |
0.770000000 |
1.000000000 |
0.756256702 |
0.571924199 |
1.528409264 |
0.612030907 |
77.297388406 |
68.651977974 |
21.301948610 |
4.411285226 |
1.368481037 |
0.000675573 |
0.780000000 |
1.000000000 |
0.766775502 |
0.587944671 |
1.557837782 |
0.639545013 |
77.814004592 |
69.323518166 |
21.625280976 |
5.142736048 |
1.704775700 |
0.001326854 |
0.781200000 |
1.000000000 |
0.768038236 |
0.589882732 |
1.561514323 |
0.642945803 |
77.876694190 |
69.405013382 |
21.664731143 |
5.236569913 |
1.749453621 |
0.001436352 |
0.790000000 |
1.000000000 |
0.777301410 |
0.604197482 |
1.589500700 |
0.668573652 |
78.341197111 |
70.008907088 |
21.958768757 |
5.966757542 |
2.108321139 |
0.002541783 |
0.800000000 |
1.000000000 |
0.787834431 |
0.620683091 |
1.623674233 |
0.699262205 |
78.879774329 |
70.709232739 |
22.304224317 |
6.891797201 |
2.589662989 |
0.004755859 |
0.806800000 |
1.000000000 |
0.795000953 |
0.632026515 |
1.648510574 |
0.721163141 |
79.252969817 |
71.194607953 |
22.547097389 |
7.583138156 |
2.967393563 |
0.007189627 |
0.810000000 |
1.000000000 |
0.798374574 |
0.637401960 |
1.660685042 |
0.731778484 |
79.430647075 |
71.425726962 |
22.663897972 |
7.926952080 |
3.160633896 |
0.008703078 |
0.820000000 |
1.000000000 |
0.808921845 |
0.654354551 |
1.700922706 |
0.766317583 |
79.994847854 |
72.159793199 |
23.040587829 |
9.082076490 |
3.834511416 |
0.015596219 |
0.830000000 |
1.000000000 |
0.819476252 |
0.671541327 |
1.744856170 |
0.803108118 |
80.573554945 |
72.913041492 |
23.437783833 |
10.367921495 |
4.626212940 |
0.027402613 |
0.840000000 |
1.000000000 |
0.830037802 |
0.688962752 |
1.793055780 |
0.842420369 |
81.168122994 |
73.687333172 |
23.859859619 |
11.796316230 |
5.552540813 |
0.047259905 |
0.850000000 |
1.000000000 |
0.840606502 |
0.706619291 |
1.846223283 |
0.884577043 |
81.780122383 |
74.484838736 |
24.312332406 |
13.380405141 |
6.632496034 |
0.080095148 |
0.860000000 |
1.000000000 |
0.851182360 |
0.724511410 |
1.905233424 |
0.929967764 |
82.411390661 |
75.308114002 |
24.802221744 |
15.134961377 |
7.887686873 |
0.133537433 |
0.866025403 |
1.000000000 |
0.857558200 |
0.735406066 |
1.944061764 |
0.959074055 |
82.801951881 |
75.817862586 |
25.119142116 |
16.281397825 |
8.738811289 |
0.180352915 |
0.870000000 |
1.000000000 |
0.861765382 |
0.742639574 |
1.971192859 |
0.979068934 |
83.064100871 |
76.160202118 |
25.338555177 |
17.076806041 |
9.342870820 |
0.219253205 |
0.880000000
|
1.000000000 |
0.872355577
|
0.761004253 |
2.045525575 |
1.032471575 |
83.740854115 |
77.044773026 |
25.933098032 |
19.225378102 |
11.026687529 |
0.354891359 |
0.890000000 |
1.000000000 |
0.882952951 |
0.779605914 |
2.130100193 |
1.090921292 |
84.444807758 |
77.966318642 |
26.601435217 |
21.603524511 |
12.972671744 |
0.566914237 |
0.900000000 |
1.000000000 |
0.893557511 |
0.798445027 |
2.227425776 |
1.155377358 |
85.179857609 |
78.930433547 |
27.364625088 |
24.238622009 |
15.220688340 |
0.894732961 |
0.910000000 |
1.000000000 |
0.904169266 |
0.817522062 |
2.340964449 |
1.227103025 |
85.950904791 |
79.944231794 |
28.251820372 |
27.164216596 |
17.819025460 |
1.396804100 |
0.920000000 |
1.000000000 |
0.914788222 |
0.836837492 |
2.475653242 |
1.307809254 |
86.764260968 |
81.016989913 |
29.304602381 |
30.422505059 |
20.827556006 |
2.159767310 |
0.930000000 |
1.000000000 |
0.925414387 |
0.856391788 |
2.638823619 |
1.399894923 |
87.628291233 |
82.161186093 |
30.584526376 |
34.068256541 |
24.322721029 |
3.312502735 |
0.940000000 |
1.000000000 |
0.936047767 |
0.876185423 |
2.841934814 |
1.506873463 |
88.554490972 |
83.394279516 |
32.187117296 |
38.175352948 |
28.405815750 |
5.048619617 |
0.950000000
|
1.000000000 |
0.946688371
|
0.896218873 |
3.104136494 |
1.634191996 |
89.559419412 |
84.741990878 |
34.270006281 |
42.848477948 |
33.217745984 |
7.664555624 |
0.960000000 |
1.000000000 |
0.957336206 |
0.916492612 |
3.460489622 |
1.790976178 |
90.668507005 |
86.244975400 |
37.115821296 |
48.246021781 |
38.967828809 |
11.629770514 |
0.970000000 |
1.000000000 |
0.967991279 |
0.937007116 |
3.984320418 |
1.994333673 |
91.924590096 |
87.974403670 |
41.295014510 |
54.631163656 |
45.997745645 |
17.733330634 |
0.980000000 |
1.000000000 |
0.978653597 |
0.957762864 |
4.865783363 |
2.282672089 |
93.411249460 |
90.076851141 |
48.191249333 |
62.510811233 |
54.954678094 |
27.457127802 |
0.987750000 |
1.000000000 |
0.986921882 |
0.974014802 |
6.203502832 |
2.633083069 |
94.846382340 |
92.196599003 |
58.013419712 |
70.391101711 |
64.160221469 |
39.543103472 |
0.990000000 |
1.000000000 |
0.989323168 |
0.978760332 |
6.861611713 |
2.778547488 |
95.344423339 |
92.962023258 |
62.467966115 |
73.177791291 |
67.463495857 |
44.341575846 |
0.991000000 |
1.000000000 |
0.990390524 |
0.980873391 |
7.230711279 |
2.854137571 |
95.583651370 |
93.336409648 |
64.843666985 |
74.524593700 |
69.067653894 |
46.751364623 |
0.992000000 |
1.000000000 |
0.991457953 |
0.982988874 |
7.667141404 |
2.938688787 |
95.836527373 |
93.737264101 |
67.534238154 |
75.953644256 |
70.774849311 |
49.369919262 |
0.993000000 |
1.000000000 |
0.992525455 |
0.985106779 |
8.194183624 |
3.034600222 |
96.105709203 |
94.169946595 |
70.608211348 |
77.480601498 |
72.604427564 |
52.235077600 |
0.994000000 |
1.000000000 |
0.993593029 |
0.987227108 |
8.848209282 |
3.145385509 |
96.394847548 |
94.641610069 |
74.152373744 |
79.126947547 |
74.582899526 |
55.398229967 |
0.995000000 |
1.000000000 |
0.994660676 |
0.989349861 |
9.689968447 |
3.276491967 |
96.709198585 |
95.162018052 |
78.272897279 |
80.923574763 |
76.748347521 |
58.932542739 |
0.996000000 |
1.000000000 |
0.995728395 |
0.991475038 |
10.830631435 |
3.437045450 |
97.056830017 |
95.744762033 |
83.083796570 |
82.917842524 |
79.159090396 |
62.949077538 |
0.997000000 |
1.000000000 |
0.996796187 |
0.993602640 |
12.502578992 |
3.644153815 |
97.451323781 |
96.408867723 |
88.641686929 |
85.189382553 |
81.913082414 |
67.632758265 |
0.997500000 |
1.000000000 |
0.997330111 |
0.994667350 |
13.693941910 |
3.775465892 |
97.673471414 |
96.779199184 |
91.643677729 |
86.472046512 |
83.471541929 |
70.323649090 |
0.998000000 |
1.000000000 |
0.997864052 |
0.995732667 |
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30598.836374597 |
14.901189170 |
99.998959732 |
99.998612976 |
99.998127517 |
99.993932755 |
99.992569173 |
99.986433229 |
0.999999999 |
1.000000000 |
0.999999999 |
0.999999999 |
43273.289393791 |
15.401189170 |
99.999264419 |
99.999019225 |
99.998675955 |
99.995709810 |
99.994745612 |
99.990406844 |
0.999999999 |
1.000000000 |
0.999999999 |
0.999999999 |
68421.071053696 |
16.062153067 |
99.999534777 |
99.999379703 |
99.999162600 |
99.997286645 |
99.996676833 |
99.993932755 |
|