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= 0.050 ;
Max. sign estimation error (prb.): 0.050 ;
Min. confidence level (pct.): 95.000 .
|
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 |
0.009773796
|
0.000095527 |
1.000047766 |
0.000068911 |
50.311114549 |
33.732198140 |
10.000000000 |
0.000000000 |
0.000000000 |
0.000000000 |
0.200000000 |
0.976996867 |
0.035671499 |
0.001272455 |
1.000636835 |
0.000918467 |
51.135700042 |
34.789438665 |
10.002795233 |
0.000000000 |
0.000000000 |
0.000000000 |
0.225000000 |
0.987810626 |
0.061791808 |
0.003818227 |
1.001914598 |
0.002759540 |
51.968148181 |
35.858106138 |
10.052857312 |
0.000000000 |
0.000000000 |
0.000000000 |
0.250000000 |
0.993948972 |
0.088137604 |
0.007768237 |
1.003906895 |
0.005625477 |
52.809152163 |
36.938529453 |
10.130536474 |
0.000000000 |
0.000000000 |
0.000000000 |
0.275000000 |
0.997194082 |
0.114711821 |
0.013158802 |
1.006645054 |
0.009555074 |
53.659446472 |
38.031636126 |
10.235336755 |
0.000000000 |
0.000000000 |
0.000000000 |
0.300000000 |
0.998787915 |
0.141517442 |
0.020027186 |
1.010166556 |
0.014593184 |
54.519813118 |
39.138449935 |
10.368002421 |
0.000000000 |
0.000000000 |
0.000000000 |
0.325000000 |
0.999513450 |
0.168557502 |
0.028411631 |
1.014515873 |
0.020791438 |
55.391088773 |
40.260075662 |
10.529660950 |
0.000000000 |
0.000000000 |
0.000000000 |
0.350000000 |
0.999818898 |
0.195835091 |
0.038351383 |
1.019745492 |
0.028209130 |
56.274173016 |
41.397701100 |
10.721522867 |
0.000000000 |
0.000000000 |
0.000000000 |
0.375000000 |
0.999937604 |
0.223353352 |
0.049886720 |
1.025917187 |
0.036914280 |
57.170037914 |
42.552609071 |
10.944872236 |
0.000000000 |
0.000000000 |
0.000000000 |
0.400000000 |
0.999980128 |
0.251115485 |
0.063058986 |
1.033103600 |
0.046984935 |
58.079739263 |
43.726191417 |
11.201051926 |
0.000000022 |
0.000000000 |
0.000000000 |
0.425000000 |
0.999994156 |
0.279124746 |
0.077910623 |
1.041390210 |
0.058510750 |
59.004429872 |
44.919965437 |
11.491442600 |
0.000001514 |
0.000000000 |
0.000000000 |
0.450000000 |
0.999998414 |
0.307384449 |
0.094485199 |
1.050877814 |
0.071594936 |
59.945375409 |
46.135593383 |
11.817434353 |
0.000035213 |
0.000000044 |
0.000000000 |
0.475000000 |
0.999999603 |
0.335897968 |
0.112827445 |
1.061685658 |
0.086356679 |
60.903973441 |
47.374905836 |
12.180390009 |
0.000396189 |
0.000001602 |
0.000000000 |
0.500000000 |
0.999999908 |
0.364668739 |
0.132983289 |
1.073955449 |
0.102934147 |
61.881776548 |
48.639930031 |
12.581599400 |
0.002659176 |
0.000026756 |
0.000000000 |
0.550000000 |
0.999999996 |
0.422996087 |
0.178925690 |
1.103592570 |
0.142207649 |
63.902160035 |
51.256422749 |
13.503236943 |
0.042455468 |
0.001585905 |
0.000000000 |
0.600000000 |
0.999999999 |
0.482395244 |
0.232705171 |
1.141612891 |
0.191073532 |
66.023309108 |
54.006776761 |
14.588954429 |
0.281320414 |
0.025334238 |
0.000000002 |
0.632455500 |
0.999999999 |
0.521539538 |
0.272003489 |
1.172020886 |
0.228998280 |
67.464209684 |
55.876693663 |
15.382511780 |
0.711252244 |
0.097919623 |
0.000000176 |
0.650000000 |
0.999999999 |
0.542896026 |
0.294736095 |
1.190759818 |
0.251882445 |
68.267223533 |
56.919241350 |
15.840312393 |
1.092903927 |
0.182747328 |
0.000001265 |
0.700000000 |
0.999999999 |
0.604529366 |
0.365455754 |
1.255362193 |
0.328103666 |
70.663879469 |
60.032131457 |
17.253238029 |
3.016780493 |
0.792848726 |
0.000125009 |
0.707106781 |
0.999999999 |
0.613383434 |
0.376239237 |
1.266166951 |
0.340467645 |
71.019195232 |
60.493749292 |
17.466814688 |
3.414502956 |
0.947439926 |
0.000217134 |
0.710000000 |
0.999999999 |
0.616994745 |
0.380682515 |
1.270700876 |
0.345624459 |
71.165003029 |
60.683185152 |
17.554662539 |
3.586613724 |
1.016821305 |
0.000270205 |
0.718600000 |
0.999999999 |
0.627752428 |
0.394073110 |
1.284664985 |
0.361392182 |
71.602497072 |
61.251601988 |
17.818861530 |
4.134412005 |
1.247004907 |
0.000507367 |
0.720000000 |
0.999999999 |
0.629506969 |
0.396279024 |
1.287009840 |
0.364023084 |
71.674309438 |
61.344906880 |
17.862306801 |
4.228850153 |
1.288064156 |
0.000560635 |
0.723200000 |
0.999999999 |
0.633520817 |
0.401348626 |
1.292447790 |
0.370106002 |
71.839090238 |
61.559006578 |
17.962070180 |
4.450383847 |
1.385901155 |
0.000702390 |
0.730000000 |
0.999999999 |
0.642066302 |
0.412249137 |
1.304377691 |
0.383361671 |
72.192262020 |
62.017891494 |
18.176200545 |
4.947923895 |
1.613108073 |
0.001119935 |
0.740000000 |
0.999999999 |
0.654673012 |
0.428596753 |
1.322904970 |
0.403709431 |
72.719367058 |
62.702790363 |
18.496424136 |
5.748191399 |
1.998869378 |
0.002159782 |
0.750000000 |
0.999999999 |
0.667327367 |
0.445325815 |
1.342706289 |
0.425143756 |
73.256179642 |
63.400319397 |
18.823126936 |
6.633947305 |
2.452635763 |
0.004030997 |
0.760000000 |
0.999999999 |
0.680029637 |
0.462440307 |
1.363912946 |
0.447751565 |
73.803310593 |
64.111268577 |
19.156550381 |
7.609449612 |
2.982058070 |
0.007297832 |
0.770000000 |
1.000000000 |
0.692780095 |
0.479944260 |
1.386676173 |
0.471630918 |
74.361434684 |
64.836513328 |
19.497057011 |
8.678954626 |
3.595150422 |
0.012843059 |
0.780000000 |
1.000000000 |
0.705579016 |
0.497841748 |
1.411171179 |
0.496893002 |
74.931300511 |
65.577028207 |
19.845167074 |
9.846762420 |
4.300301302 |
0.022013043 |
0.781200000
|
1.000000000 |
0.707118156
|
0.500016087 |
1.414236314 |
0.500023210 |
75.000512090 |
65.666966587 |
19.887483141 |
9.993712811 |
4.391518648 |
0.023443845 |
0.790000000 |
1.000000000 |
0.718426677 |
0.516136890 |
1.437602250 |
0.523664572 |
75.513742385 |
66.333903481 |
20.201604862 |
11.117273958 |
5.106298500 |
0.036813684 |
0.800000000 |
1.000000000 |
0.731323356 |
0.534833851 |
1.466209228 |
0.552090991 |
76.109694830 |
67.108365387 |
20.567357743 |
12.495061581 |
6.022371362 |
0.060170022 |
0.806800000 |
1.000000000 |
0.740121240 |
0.547779451 |
1.487047542 |
0.572450772 |
76.523191358 |
67.645745348 |
20.822050614 |
13.495684355 |
6.713120304 |
0.083009892 |
0.810000000 |
1.000000000 |
0.744269334 |
0.553936842 |
1.497275861 |
0.582340051 |
76.720210371 |
67.901801102 |
20.943751943 |
13.984955341 |
7.058254542 |
0.096264567 |
0.820000000 |
1.000000000 |
0.757264896 |
0.573450123 |
1.531140660 |
0.614606824 |
77.346481616 |
68.715789845 |
21.332550806 |
15.592148772 |
8.224278644 |
0.150972268 |
0.830000000 |
1.000000000 |
0.770310326 |
0.593377999 |
1.568211244 |
0.649119909 |
77.989868933 |
69.552142043 |
21.736083722 |
17.322329214 |
9.531494857 |
0.232413867 |
0.840000000 |
1.000000000 |
0.783405912 |
0.613724823 |
1.608983535 |
0.686149563 |
78.651935591 |
70.412949266 |
22.157417664 |
19.181839999 |
10.991843315 |
0.351654830 |
0.850000000 |
1.000000000 |
0.796551943 |
0.634494998 |
1.654067917 |
0.726018474 |
79.334492965 |
71.300648792 |
22.600589175 |
21.177885091 |
12.618378811 |
0.523585186 |
0.860000000 |
1.000000000 |
0.809748712 |
0.655692977 |
1.704225502 |
0.769116244 |
80.039659572 |
72.218108396 |
23.070923962 |
23.318791579 |
14.425573467 |
0.768027995 |
0.866025403 |
1.000000000 |
0.817724918 |
0.668674041 |
1.737289795 |
0.796838428 |
80.476496419 |
72.786684952 |
23.370302947 |
24.682740998 |
15.608437754 |
0.960966037 |
0.870000000 |
1.000000000 |
0.822996513 |
0.677323261 |
1.760419501 |
0.815919258 |
80.769939496 |
73.168739714 |
23.575486666 |
25.614352949 |
16.429725230 |
1.111143710 |
0.880000000 |
1.000000000 |
0.836295643 |
0.699390403 |
1.823889737 |
0.867018514 |
81.528328590 |
74.156652873 |
24.123729284 |
28.076287948 |
18.649515871 |
1.587228983 |
0.890000000 |
1.000000000 |
0.849646400 |
0.721899006 |
1.896263692 |
0.923159597 |
82.318461550 |
75.186872420 |
24.728452187 |
30.718869299 |
21.106786426 |
2.241060032 |
0.900000000 |
1.000000000 |
0.863049086 |
0.744853726 |
1.979727358 |
0.985301760 |
83.144820851 |
76.265647086 |
25.407274431 |
33.559809684 |
23.827639308 |
3.131018144 |
0.910000000
|
1.000000000 |
0.876504004
|
0.768259270 |
2.077298058 |
1.054708234 |
84.013042736 |
77.400908579 |
26.184968014 |
36.621551127 |
26.844049536 |
4.333388919 |
0.920000000 |
1.000000000 |
0.890011461 |
0.792120401 |
2.193279932 |
1.133089957 |
84.930381740 |
78.602977422 |
27.097329200 |
39.933213458 |
30.196303853 |
5.948511011 |
0.930000000 |
1.000000000 |
0.903571764 |
0.816441932 |
2.334066697 |
1.222845787 |
85.906447464 |
79.885700329 |
28.197945667 |
43.533674261 |
33.936855913 |
8.110005176 |
0.940000000 |
1.000000000 |
0.917185224 |
0.841228735 |
2.509655144 |
1.327489134 |
86.954438410 |
81.268391623 |
29.570817516 |
47.476713799 |
38.136758156 |
10.999479077 |
0.950000000 |
1.000000000 |
0.930852154 |
0.866485734 |
2.736756537 |
1.452467098 |
88.093356844 |
82.779400931 |
31.355914681 |
51.840233151 |
42.897163127 |
14.871778533 |
0.960000000
|
1.000000000 |
0.944572871
|
0.892217909 |
3.045977557 |
1.606905312 |
89.352369039 |
84.463346900 |
33.806869407 |
56.744373724 |
48.371877181 |
20.102772746 |
0.970000000 |
1.000000000 |
0.958347692 |
0.918430299 |
3.501350333 |
1.807911420 |
90.780576812 |
86.397961941 |
37.442507604 |
62.392070127 |
54.817704976 |
27.292692433 |
0.980000000 |
1.000000000 |
0.972176938 |
0.945127999 |
4.268984747 |
2.093893008 |
92.473731456 |
88.742607494 |
43.547607513 |
69.179774180 |
62.731521312 |
37.539425965 |
0.987750000 |
1.000000000 |
0.982932243 |
0.966155795 |
5.435729591 |
2.442473688 |
94.110573738 |
91.095880873 |
52.489600430 |
75.814191363 |
70.608032505 |
49.111666024 |
0.990000000 |
1.000000000 |
0.986060932 |
0.972316162 |
6.010171318 |
2.587406115 |
94.679067432 |
91.943365255 |
56.654085999 |
78.131371264 |
73.385780773 |
53.476469893 |
0.991000000 |
1.000000000 |
0.987452355 |
0.975062154 |
6.332431943 |
2.662759666 |
94.952208665 |
92.357744590 |
58.907445159 |
79.246687743 |
74.727019771 |
55.631167876 |
0.992000000
|
1.000000000 |
0.988844329
|
0.977813107 |
6.713542832 |
2.747074298 |
95.240979990 |
92.801533459 |
61.489724860 |
80.427117335 |
76.149342422 |
57.947646102 |
0.993000000 |
1.000000000 |
0.990236854 |
0.980569028 |
7.173857522 |
2.842749092 |
95.548422177 |
93.280987019 |
64.483646401 |
81.685229780 |
77.668225512 |
60.455385303 |
0.994000000 |
1.000000000 |
0.991629932 |
0.983329922 |
7.745174181 |
2.953297684 |
95.878711639 |
93.804659875 |
68.001537834 |
83.038285084 |
79.304907197 |
63.194616654 |
0.995000000 |
1.000000000 |
0.993023561 |
0.986095793 |
8.480606195 |
3.084167392 |
96.237861140 |
94.384645987 |
72.197322817 |
84.511126092 |
81.089936581 |
66.222893835 |
0.996000000
|
1.000000000 |
0.994417743
|
0.988866647 |
9.477352314 |
3.244484070 |
96.635099158 |
95.038691991 |
77.278626733 |
86.141871751 |
83.070158173 |
69.627998210 |
0.997000000 |
1.000000000 |
0.995812477 |
0.991642490 |
10.938595267 |
3.451355574 |
97.085960912 |
95.793814530 |
83.494648952 |
87.994673389 |
85.324356729 |
73.556785728 |
0.997500000 |
1.000000000 |
0.996510051 |
0.993032283 |
11.979943517 |
3.582549201 |
97.339881457 |
96.221599252 |
87.083468160 |
89.038944389 |
86.596665977 |
75.796382534 |
0.998000000 |
1.000000000 |
0.997207764 |
0.994423326 |
13.390980578 |
3.743189703 |
97.620738220 |
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99.998413880 |
99.997858738 |
99.995094210 |
99.993991659 |
99.989030321 |
0.999999999 |
1.000000000 |
0.999999999 |
0.999999999 |
37841.455838281 |
15.207679972 |
99.999158832 |
99.998878443 |
99.998485899 |
99.996531082 |
99.995751461 |
99.992243265 |
0.999999999 |
1.000000000 |
0.999999999 |
0.999999999 |
59832.595212822 |
15.868644020 |
99.999467999 |
99.999290665 |
99.999042398 |
99.997806064 |
99.997312988 |
99.995094210 |
|