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 96.691791940 90.948677191 90.194580952 88.006006064 78.293841770
0.998500000 1.000000000 0.997905616 0.995815618 15.459105499 3.950384938 97.939516658 97.212602160 94.884086196 91.506917672 89.607976481 81.151694552

0.998600000

1.000000000

0.998045202

0.996094226 16.000976829 4.000088076 98.009387412 97.323644381

95.637484236

91.794644491 89.959401454 81.781082689
0.998700000 1.000000000 0.998184795 0.996372885 16.604253760 4.053480980 98.081801025 97.437183872 96.364107764 92.092872697 90.323721893 82.434434780
0.998750000 1.000000000 0.998254593 0.996512233 16.932703112 4.081740396 98.119052777 97.492070369 96.614294998 92.246301799 90.511180011 82.770946187
0.998800000 1.000000000 0.998324393 0.996651593 17.281480256 4.111154892 98.157057218 97.542742958 96.682702994 92.402838852 90.702453556 83.114535103
0.998900000 1.000000000 0.998463996 0.996930352 18.049108045 4.173855638 98.235519668 97.647359558 96.823935403 92.726043336 91.097435464 83.824760164
0.999000000 1.000000000 0.998603605 0.997209161 18.929215365 4.242542706 98.317636917 97.756849223 96.971746452 93.064336593 91.510935574 84.569272080
0.999100000 1.000000000 0.998743220 0.997488019 19.952250245 4.318479559 98.403972996 97.871963995 97.127151393 93.420045430 91.945805506 85.353301687
0.999200000 1.000000000 0.998882840 0.997766928 21.161608246 4.403377368 98.495253905 97.993671874 97.291457030 93.796164746 92.405715426 86.183578203
0.999250000 1.000000000 0.998952652 0.997906401 21.855125018 4.449899725 98.543037115 98.057382821 97.377466808 93.993068186 92.646518434 86.618731330
0.999275000 1.000000000 0.998987558 0.997976142 22.228494780 4.474338353 98.567526248 98.090034998 97.421547247 94.093985937 92.769944521 86.841884310
0.999300000 1.000000000 0.999022465 0.998045887 22.621696423 4.499635217 98.592441343 98.123255124 97.466394417 94.196661597 92.895526544 87.069010527
0.999400000 1.000000000 0.999162096 0.998324895 24.433129194 4.610766738 98.696856150 98.262474867 97.654341071 94.626984366 93.421914856 88.021827807

0.999500000

1.000000000

0.999301733

0.998603954 26.763951944 4.742219253 98.810399914 98.413866552 97.858719845

95.094976697

93.994490701 89.059626275
0.999600000 1.000000000 0.999441375 0.998883063 29.921666306 4.903118614 98.935991170 98.581321561 98.084784107 95.612676557 94.628002516 90.209397460

0.999700000

1.000000000

0.999581023

0.999162222 34.549015099 5.110572678 99.078542912 98.771390549 98.341377241 96.200347681

95.347275018

91.516552804
0.999710000 1.000000000 0.999594988 0.999190141 35.139481785 5.135021010 99.094030845 98.792041126 98.369255521 96.264200260 95.425434520 91.658695688
0.999720000 1.000000000 0.999608953 0.999218060 35.761307463 5.160327578 99.109788185 98.813050914 98.397618734 96.329164178 95.504955874 91.803334430
0.999730000 1.000000000 0.999622918 0.999245980 36.417369697 5.186554820 99.125829502 98.834439337 98.426493104 96.395299521 95.585912684 91.950603581
0.999740000 1.000000000 0.999636884 0.999273900 37.110929826 5.213772243 99.142170726 98.856227635 98.455907308 96.462671991 95.668385432 92.100650261
0.999750000 1.000000000 0.999650849 0.999301820 37.845701386 5.242057539 99.158829336 98.878439115 98.485892806 96.531353677 95.752462422 92.253635876
0.999760000 1.000000000 0.999664814 0.999329741 38.625934048 5.271497915 99.175824577 98.901099436 98.516484239 96.601423949 95.838240880 92.409738140
0.999770000 1.000000000 0.999678780 0.999357663 39.456517432 5.302191719 99.193177721 98.924236961 98.547719898 96.672970542 95.925828273 92.569153472
0.999780000 1.000000000 0.999692745 0.999385585 40.343110586 5.334250419 99.210912380 98.947883174 98.579642285 96.746090837 96.015343888 92.732099885
0.999790000 1.000000000 0.999706711 0.999413508 41.292305003 5.367801049 99.229054883 98.972073178 98.612298791 96.820893419 96.106920731 92.898820457
0.999800000 1.000000000 0.999720676 0.999441431 42.311831931 5.402989244 99.247634734 98.996846312 98.645742522 96.897499968 96.200707850 93.069587568
0.999810000 1.000000000 0.999734642 0.999469355 43.410828964 5.439983067 99.266685174 99.022246899 98.680033314 96.976047582 96.296873176 93.244708095
0.999820000 1.000000000 0.999748608 0.999497279 44.600187025 5.478977854 99.286243884 99.048325179 98.715238992 97.056691659 96.395607056 93.424529862
0.999830000 1.000000000 0.999762573 0.999525204 45.893008069 5.520202466 99.306353857 99.075138476 98.751436943 97.139609512 96.497126678 93.609449725
0.999840000 1.000000000 0.999776539 0.999553129 47.305217843 5.563927418 99.327064512 99.102752683 98.788716122 97.225004958 96.601681694 93.799923834
0.999850000 1.000000000 0.999790505 0.999581054 48.856399858 5.610475652 99.348433128 99.131244171 98.827179631 97.313114218 96.709561442 93.996480831
0.999860000 1.000000000 0.999804471 0.999608981 50.570951609 5.660237021 99.370526707 99.160702276 98.866948073 97.404213622 96.821104392 94.199739098
0.999870000 1.000000000 0.999818437 0.999636907 52.479721360 5.713688154 99.393424462 99.191232616 98.908164032 97.498629851 96.936710679 94.410429646
0.999880000 1.000000000 0.999832403 0.999664834 54.622380910 5.771420295 99.417221174 99.222961566 98.950998114 97.596753796 97.056859088 94.629427130
0.999890000 1.000000000 0.999846369 0.999692762 57.050960403 5.834179268 99.442031850 99.256042467 98.995657331 97.699059758 97.182130558 94.857792784

0.999900000

1.000000000

0.999860335

0.999720690 59.8352837 99 5.902924561 99.467998335 99.290664447 99.042397003 97.806132713 97.313241592

95.096835414

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