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= 0.050 ;
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 |
0.500028218 |
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 |
0.001731422
|
0.000002997 |
1.000001498 |
0.000002162 |
50.055112903 |
33.403990901 |
10.000000000 |
0.000000000 |
0.000000000 |
0.000000000 |
0.050000000 |
0.999789930 |
0.026761551 |
0.000716180 |
1.000358282 |
0.000516800 |
50.851948347 |
34.425574805 |
10.000000000 |
0.000000000 |
0.000000000 |
0.000000000 |
0.075000000 |
0.999999862 |
0.051820853 |
0.002685400 |
1.001345410 |
0.001939712 |
51.650248158 |
35.449907023 |
10.030569390 |
0.000000000 |
0.000000000 |
0.000000000 |
0.100000000 |
0.999999999 |
0.076909379 |
0.005915052 |
1.002970711 |
0.004279477 |
52.450521480 |
36.477710334 |
10.094166123 |
0.000000000 |
0.000000000 |
0.000000000 |
0.125000000 |
0.999999999 |
0.102027181 |
0.010409545 |
1.005245763 |
0.007548255 |
53.253286983 |
37.509399728 |
10.182016208 |
0.000000000 |
0.000000000 |
0.000000000 |
0.150000000 |
1.000000000 |
0.127174308 |
0.016173304 |
1.008186084 |
0.011761946 |
54.059075982 |
38.545642300 |
10.293625564 |
0.000000000 |
0.000000000 |
0.000000000 |
0.175000000 |
1.000000000 |
0.152350814 |
0.023210770 |
1.011811401 |
0.016940401 |
54.868435750 |
39.587150928 |
10.429388818 |
0.000000000 |
0.000000000 |
0.000000000 |
0.200000000 |
1.000000000 |
0.177556749 |
0.031526399 |
1.016145987 |
0.023107685 |
55.681933101 |
40.634664650 |
10.589739648 |
0.000000000 |
0.000000000 |
0.000000000 |
0.225000000 |
1.000000000 |
0.202792164 |
0.041124662 |
1.021219092 |
0.030292415 |
56.500158293 |
41.688953439 |
10.775142512 |
0.000000000 |
0.000000000 |
0.000000000 |
0.250000000 |
1.000000000 |
0.228057113 |
0.052010046 |
1.027065480 |
0.038528162 |
57.323729350 |
42.750823445 |
10.986082172 |
0.000000000 |
0.000000000 |
0.000000000 |
0.275000000 |
1.000000000 |
0.253351646 |
0.064187056 |
1.033726086 |
0.047853956 |
58.153296884 |
43.821122809 |
11.223050823 |
0.000000033 |
0.000000000 |
0.000000000 |
0.300000000 |
1.000000000 |
0.278675816 |
0.077660210 |
1.041248833 |
0.058314879 |
58.989549535 |
44.900748199 |
11.486532692 |
0.000001429 |
0.000000000 |
0.000000000 |
0.325000000 |
1.000000000 |
0.304029674 |
0.092434042 |
1.049689617 |
0.069962800 |
59.833220175 |
45.990652247 |
11.776985996 |
0.000025337 |
0.000000027 |
0.000000000 |
0.350000000 |
1.000000000 |
0.329413273 |
0.108513104 |
1.059113535 |
0.082857252 |
60.685093029 |
47.091852097 |
12.094822282 |
0.000240984 |
0.000000767 |
0.000000000 |
0.375000000 |
1.000000000 |
0.354826665 |
0.125901962 |
1.069596387 |
0.097066498 |
61.546011947 |
48.205439343 |
12.440383322 |
0.001457836 |
0.000011009 |
0.000000000 |
0.400000000 |
1.000000000 |
0.380269903 |
0.144605199 |
1.081226539 |
0.112668828 |
62.416890072 |
49.332591716 |
12.813915983 |
0.006296610 |
0.000095492 |
0.000000000 |
0.425000000 |
1.000000000 |
0.405743040 |
0.164627414 |
1.094107236 |
0.129754148 |
63.298721258 |
50.474586966 |
13.215545880 |
0.021052046 |
0.000565322 |
0.000000000 |
0.450000000 |
1.000000000 |
0.431246128 |
0.185973223 |
1.108359516 |
0.148425921 |
64.192593660 |
51.632819539 |
13.645251129 |
0.057734581 |
0.002490925 |
0.000000000 |
0.475000000 |
1.000000000 |
0.456779219 |
0.208647255 |
1.124125872 |
0.168803588 |
65.099706063 |
52.808820830 |
14.102838282 |
0.135504933 |
0.008703496 |
0.000000000 |
0.500000000 |
1.000000000 |
0.482342368 |
0.232654160 |
1.141574945 |
0.191025576 |
66.021387694 |
54.004284038 |
14.587923533 |
0.280927862 |
0.025282619 |
0.000000002 |
0.550000000 |
1.000000000 |
0.533559048 |
0.284685258 |
1.182364583 |
0.241674960 |
67.914579063 |
56.461370983 |
15.638063662 |
0.911045424 |
0.140321348 |
0.000000549 |
0.600000000 |
1.000000000 |
0.584896595 |
0.342104027 |
1.232881642 |
0.302034306 |
69.886491830 |
59.022252635 |
16.788935135 |
2.251863822 |
0.520185781 |
0.000033679 |
0.632455500 |
1.000000000 |
0.618285204 |
0.382276593 |
1.272339385 |
0.347483548 |
71.217232687 |
60.751043528 |
17.586156887 |
3.649533112 |
1.042545760 |
0.000291905 |
0.650000000 |
1.000000000 |
0.636355437 |
0.404948242 |
1.296351065 |
0.374456468 |
71.955881874 |
61.710755611 |
18.032837610 |
4.611484421 |
1.458356856 |
0.000821582 |
0.700000000 |
1.000000000 |
0.687936004 |
0.473255946 |
1.377844412 |
0.462412986 |
74.148303893 |
64.559562891 |
19.366982302 |
8.261771491 |
3.352124996 |
0.010397104 |
0.707106781 |
1.000000000 |
0.695277346 |
0.483410588 |
1.391320709 |
0.476455010 |
74.471845683 |
64.979986342 |
19.564464853 |
8.899294910 |
3.725439262 |
0.014297928 |
0.710000000 |
1.000000000 |
0.698266763 |
0.487576472 |
1.396964819 |
0.482295688 |
74.604506136 |
65.152371943 |
19.645479092 |
9.167821078 |
3.885984379 |
0.016234954 |
0.718600000
|
1.000000000 |
0.707155126
|
0.500068372 |
1.414310265 |
0.500098647 |
75.002176363 |
65.669129263 |
19.888500794 |
9.997259898 |
4.393727103 |
0.023479222 |
0.720000000 |
1.000000000 |
0.708602411 |
0.502117377 |
1.417217530 |
0.503061216 |
75.067398419 |
65.753883630 |
19.928386533 |
10.136766354 |
4.480832385 |
0.024902687 |
0.723200000 |
1.000000000 |
0.711910852 |
0.506817061 |
1.423954059 |
0.509902601 |
75.217000527 |
65.948288652 |
20.019907950 |
10.460409699 |
4.684745126 |
0.028453815 |
0.730000000 |
1.000000000 |
0.718942952 |
0.516878969 |
1.438705913 |
0.524771719 |
75.537376387 |
66.364616065 |
20.216086451 |
11.170433978 |
5.140855619 |
0.037562418 |
0.740000000 |
1.000000000 |
0.729288391 |
0.531861557 |
1.461547206 |
0.547496427 |
76.014872504 |
66.985137701 |
20.509070624 |
12.270697479 |
5.870361430 |
0.055769819 |
0.750000000 |
1.000000000 |
0.739638729 |
0.547065450 |
1.485874998 |
0.571312751 |
76.500361093 |
67.616074444 |
20.807963818 |
13.439505074 |
6.673796094 |
0.081579782 |
0.760000000 |
1.000000000 |
0.749993971 |
0.562490957 |
1.511842268 |
0.596307630 |
76.994364282 |
68.258118077 |
21.113551807 |
14.678911504 |
7.555769340 |
0.117673411 |
0.770000000 |
1.000000000 |
0.760354121 |
0.578138389 |
1.539625150 |
0.622579143 |
77.497459094 |
68.912036325 |
21.426815741 |
15.991114693 |
8.521086279 |
0.167509495 |
0.780000000 |
1.000000000 |
0.770719181 |
0.594008055 |
1.569427622 |
0.650238497 |
78.010285929 |
69.578684942 |
21.748974650 |
17.378498261 |
9.574788138 |
0.235504205 |
0.781200000 |
1.000000000 |
0.771963318 |
0.595927364 |
1.573150526 |
0.653656721 |
78.072512204 |
69.659582590 |
21.788299725 |
17.550157964 |
9.707421483 |
0.245135327 |
0.790000000 |
1.000000000 |
0.781089155 |
0.610100268 |
1.601487420 |
0.679412466 |
78.533558815 |
70.259022370 |
22.081538522 |
18.843681320 |
10.722203567 |
0.327243526 |
0.800000000 |
1.000000000 |
0.791464046 |
0.626415337 |
1.636083561 |
0.710246434 |
79.068077886 |
70.954127641 |
22.426375310 |
20.389577419 |
11.969012902 |
0.449734038 |
0.806800000 |
1.000000000 |
0.798521783 |
0.637637039 |
1.661223631 |
0.732246299 |
79.438430040 |
71.435851415 |
22.669032873 |
21.488545695 |
12.876715537 |
0.554963808 |
0.810000000 |
1.000000000 |
0.801843859 |
0.642953575 |
1.673546006 |
0.742908211 |
79.614744715 |
71.665222470 |
22.785796499 |
22.019465209 |
13.321328562 |
0.611699274 |
0.820000000 |
1.000000000 |
0.812228597 |
0.659715294 |
1.714268263 |
0.777592892 |
80.174581332 |
72.393698796 |
23.162667797 |
23.737074258 |
14.785795852 |
0.823931172 |
0.830000000 |
1.000000000 |
0.822618262 |
0.676700806 |
1.758723997 |
0.814529093 |
80.748754085 |
73.141153508 |
23.560554338 |
25.546690785 |
16.369720095 |
1.099709480 |
0.840000000 |
1.000000000 |
0.833012860 |
0.693910425 |
1.807489283 |
0.853987093 |
81.338603935 |
73.909432798 |
23.983914114 |
27.453289916 |
18.081228306 |
1.455306863 |
0.850000000 |
1.000000000 |
0.843412392 |
0.711344464 |
1.861272902 |
0.896289601 |
81.945685438 |
74.700689595 |
24.438360052 |
29.462703849 |
19.929477069 |
1.910604711 |
0.860000000 |
1.000000000 |
0.853816864 |
0.729003237 |
1.920958349 |
0.941826238 |
82.571817664 |
75.517459164 |
24.931021797 |
31.581839433 |
21.924923462 |
2.489855563 |
0.866025403 |
1.000000000 |
0.860088363 |
0.739751993 |
1.960226673 |
0.971020492 |
82.959169910 |
76.023153774 |
25.250051537 |
32.915073281 |
23.203319434 |
2.910856494 |
0.870000000 |
1.000000000 |
0.864226277 |
0.746887058 |
1.987663326 |
0.991073411 |
83.219151859 |
76.362760381 |
25.471055701 |
33.818965143 |
24.079683876 |
3.222644915 |
0.880000000
|
1.000000000 |
0.874640636
|
0.764996243 |
2.062826004 |
1.044622137 |
83.890263103 |
77.240234201 |
26.070380806 |
36.184097595 |
26.408018292 |
4.145131690 |
0.890000000 |
1.000000000 |
0.885059945 |
0.783331106 |
2.148333581 |
1.103218024 |
84.588277254 |
78.154337499 |
26.744769755 |
38.689534572 |
28.926998475 |
5.301689912 |
0.900000000 |
1.000000000 |
0.895484206 |
0.801891963 |
2.246720010 |
1.167820344 |
85.317051357 |
79.110621862 |
27.515516306 |
41.350610051 |
31.657453989 |
6.747146850 |
0.910000000 |
1.000000000 |
0.905913423 |
0.820679131 |
2.361481692 |
1.239692350 |
86.081437900 |
80.116147660 |
28.412077338 |
44.186797413 |
34.625352868 |
8.549940830 |
0.920000000 |
1.000000000 |
0.916347601 |
0.839692926 |
2.497604432 |
1.320545002 |
86.887686105 |
81.180122945 |
29.476440660 |
47.223381568 |
37.863891000 |
10.796757892 |
0.930000000 |
1.000000000 |
0.926786741 |
0.858933664 |
2.662491979 |
1.412777179 |
87.744078548 |
82.314936205 |
30.770726110 |
50.494107845 |
41.416796068 |
13.599668681 |
0.940000000 |
1.000000000 |
0.937230849 |
0.878401665 |
2.867716309 |
1.519902311 |
88.661997574 |
83.537925043 |
32.391278156 |
54.045613782 |
45.343844629 |
17.107760343 |
0.950000000
|
1.000000000 |
0.947679927
|
0.898097245 |
3.132615106 |
1.647367521 |
89.657840085 |
84.874637722 |
34.496980218 |
57.945378492 |
49.730738449 |
21.527503446 |
0.960000000 |
1.000000000 |
0.958133979 |
0.918020723 |
3.492592837 |
1.804298464 |
90.756788050 |
86.365468765 |
37.372491378 |
62.297361350 |
54.708494595 |
27.161924919 |
0.970000000 |
1.000000000 |
0.968593009 |
0.938172418 |
4.021692581 |
2.007802806 |
92.001260654 |
88.081153982 |
41.591775363 |
67.277026191 |
60.496781081 |
34.496467713 |
0.980000000 |
1.000000000 |
0.979057020 |
0.958552649 |
4.911923710 |
2.296288153 |
93.474027530 |
90.167405584 |
48.544697134 |
73.227027412 |
67.522055441 |
44.428655561 |
0.987750000 |
1.000000000 |
0.987170057 |
0.974504722 |
6.262822815 |
2.646813063 |
94.895621039 |
92.271480427 |
58.426016253 |
79.015523609 |
74.448815415 |
55.181814130 |
0.990000000
|
1.000000000 |
0.989526016
|
0.979161736 |
6.927383623 |
2.792310569 |
95.388938959 |
93.031343735 |
62.897911955 |
81.032424869 |
76.879743955 |
59.149306473 |
0.991000000 |
1.000000000 |
0.990573189 |
0.981235244 |
7.300095603 |
2.867915357 |
95.625894426 |
93.403000974 |
65.280084983 |
82.002470437 |
78.051679302 |
61.093799555 |
0.992000000 |
1.000000000 |
0.991620413 |
0.983311044 |
7.740792527 |
2.952481281 |
95.876365661 |
93.800907822 |
67.975409834 |
83.028669608 |
79.293265092 |
63.175002182 |
0.993000000 |
1.000000000 |
0.992667687 |
0.985389137 |
8.272981894 |
3.048407424 |
96.142984938 |
94.230354927 |
71.051135700 |
84.121897682 |
80.617873531 |
65.418092756 |
0.994000000 |
1.000000000 |
0.993715010 |
0.987469522 |
8.933387981 |
3.159207420 |
96.429367828 |
94.698387216 |
74.591838991 |
85.297089552 |
82.043859810 |
67.857494961 |
0.995000000
|
1.000000000 |
0.994762384
|
0.989552201 |
9.783350226 |
3.290328588 |
96.740719957 |
95.214590899 |
78.699742469 |
86.575743844 |
83.597633527 |
70.542544218 |
0.996000000 |
1.000000000 |
0.995809807 |
0.991637172 |
10.935117230 |
3.450896781 |
97.085031470 |
95.792249183 |
83.481530165 |
87.990851969 |
85.319703088 |
73.548621989 |
0.997000000 |
1.000000000 |
0.996857280 |
0.993724438 |
12.623323203 |
3.658019857 |
97.475753780 |
96.449823268 |
88.979876612 |
89.597942786 |
87.278216652 |
77.002060923 |
0.997500000 |
1.000000000 |
0.997381036 |
0.994768931 |
13.826262258 |
3.789339291 |
97.695775963 |
96.816049579 |
91.933421886 |
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99.997728692 |
99.994796266 |
99.993626753 |
99.988364097 |
0.999999999 |
1.000000000 |
0.999999999 |
0.999999998 |
30895.292585129 |
14.915099415 |
99.998969713 |
99.998626285 |
99.998145485 |
99.995751168 |
99.994796265 |
99.990499324 |
0.999999999 |
1.000000000 |
0.999999999 |
0.999999999 |
43692.537157149 |
15.415099262 |
99.999271477 |
99.999028636 |
99.998688659 |
99.996995622 |
99.996320403 |
99.993282007 |
0.999999999 |
1.000000000 |
0.999999999 |
0.999999999 |
69083.989047158 |
16.076063768 |
99.999539242 |
99.999385656 |
99.999170635 |
99.998099865 |
99.997672819 |
99.995751169 |
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