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 3.850769864 97.791988998 96.974052025 93.149721171 87.157295979 84.305033701 71.773722822
0.998600000 1.000000000 0.997755353 0.995515745 14.933268443 3.900458057 97.866855030 97.095743160 94.052108561 87.590475737 84.832229236 72.694632135
0.998700000 1.000000000 0.997915622 0.995835589 15.496129562 3.953836016 97.944446522 97.220481585 94.938810132 88.039673252 85.379157842 73.652937348
0.998750000 1.000000000 0.997995760 0.995995538 15.802577214 3.982087959 97.984362241 97.284032983 95.373256877 88.270851219 85.660724681 74.147415361
0.998800000 1.000000000 0.998075901 0.996155504 16.127992660 4.011494982 98.025084687 97.348395748 95.799879854 88.506766554 85.948124194 74.652908224
0.998900000 1.000000000 0.998236189 0.996475489 16.844209056 4.074180781 98.109159276 97.478879035 96.596486697 88.994033987 86.541923805 75.699717904
0.999000000 1.000000000 0.998396487 0.996795546 17.665380283 4.142852901 98.197150991 97.596201321 96.754871784 89.504285042 87.164003383 76.799737274
0.999100000 1.000000000 0.998556795 0.997115673 18.619917904 4.218774806 98.289664298 97.719552398 96.921395738 90.041051917 87.818695608 77.960965750
0.999200000 1.000000000 0.998717112 0.997435870 19.748315132 4.303657666 98.387477247 97.849969663 97.097459046 90.608880299 88.511575496 79.193684853
0.999250000 1.000000000 0.998797274 0.997595996 20.395409220 4.350172549 98.438680208 97.918240277 97.189624375 90.906248286 88.874550151 79.840933189
0.999275000 1.000000000 0.998837356 0.997676065 20.743787672 4.374607439 98.464922082 97.953229443 97.236859748 91.058682809 89.060645782 80.173153384
0.999300000 1.000000000 0.998877439 0.997756139 21.110671520 4.399900565 98.491620473 97.988827298 97.284916852 91.213790493 89.250025489 80.511494139
0.999400000 1.000000000 0.999037776 0.998076478 22.800872659 4.511017136 98.603509500 98.138012666 97.486317100 91.864049546 90.044181600 81.933044881
0.999500000 1.000000000 0.999198122 0.998396888 24.975725832 4.642454700 98.725182213 98.300242950 97.705327983 92.571557083 90.908631470 83.485150120
0.999600000 1.000000000 0.999358478 0.998717369 27.922168989 4.803339109 98.859766333 98.479688444 97.947579400 93.354573099 91.865756498 85.208903094

0.999700000

1.000000000

0.999518844

0.999037920 32.239963837 5.010778220

99.012526968

98.683369291 98.222548543 94.243830138 92.953220106 87.173379559
0.999710000 1.000000000 0.999534881 0.999069979 32.790933244 5.035225056 99.029124168 98.705498890 98.252423502 94.340475030 93.071433840 87.387279729
0.999720000 1.000000000 0.999550918 0.999102039 33.371164592 5.060530129 99.046010087 98.728013450 98.282818158 94.438806526 93.191715818 87.604988496
0.999730000 1.000000000 0.999566956 0.999134099 33.983343025 5.086755875 99.063200341 98.750933788 98.313760614 94.538915732 93.314177666 87.826710263
0.999740000 1.000000000 0.999582993 0.999166161 34.630511802 5.113971804 99.080712000 98.774282666 98.345281600 94.640902272 93.438941447 88.052668513
0.999750000 1.000000000 0.999599031 0.999198222 35.316136141 5.142255604 99.098563795 98.798085060 98.377414832 94.744875444 93.566141076 88.283108410
0.999760000 1.000000000 0.999615068 0.999230285 36.044181546 5.171694485 99.116776352 98.822368470 98.410197434 94.850955594 93.695924001 88.518299859
0.999770000 1.000000000 0.999631106 0.999262348 36.819210680 5.202386793 99.135372467 98.847163289 98.443670441 94.959275743 93.828453194 88.758541158
0.999780000 1.000000000 0.999647144 0.999294412 37.646504182 5.234443998 99.154377444 98.872503259 98.477879400 95.069983536 93.963909547 89.004163365
0.999790000 1.000000000 0.999663182 0.999326477 38.532212789 5.267993132 99.173819499 98.898425999 98.512875099 95.183243604 94.102494755 89.255535573
0.999800000 1.000000000 0.999679220 0.999358542 39.483550784 5.303179833 99.193730249 98.924973666 98.548714449 95.299240427 94.244434829 89.513071331
0.999810000 1.000000000 0.999695258 0.999390609 40.509044755 5.340172160 99.214145319 98.952193759 98.585461575 95.418181857 94.389984412 89.777236527
0.999820000 1.000000000 0.999711296 0.999422675 41.618857384 5.379165452 99.235105089 98.980140118 98.623189160 95.540303489 94.539432128 90.048559168

0.999830000

1.000000000

0.999727334

0.999454743 42.825214542 5.42 0388568 99.256655632

99.008874177

98.661980139 95.665874138 94.693107296 90.327641643
0.999840000 1.000000000 0.999743372 0.999486811 44.142977077 5.464112025 99.278849912 99.038466549 98.701929841 95.795202795 94.851388446 90.615176285
0.999850000 1.000000000 0.999759411 0.999518880 45.590419025 5.510658764 99.301749308 99.068999078 98.743148756 95.928647568 95.014714275 90.911965393
0.999860000 1.000000000 0.999775449 0.999550950 47.190306514 5.560418637 99.325425627 99.100567503 98.785766130 96.066627370 95.183597958 91.218947376
0.999870000 1.000000000 0.999791488 0.999583020 48.971425115 5.613868275 99.349963757 99.133285009 98.829934763 96.209637431 95.358646154 91.537231473
0.999880000 1.000000000 0.999807527 0.999615091 50.970793943 5.671598920 99.375465271 99.167287028 98.875837488 96.3582 70316 95.540584746 91.868144778
0.999890000 1.000000000 0.999823566 0.999647163 53.236964121 5 .734356397 99.402053417 99.202737889 98.923696151 96.513245018 95.730294473 92.213297344
0.999900000 1.000000000 0.999839605 0.999679236 55.835090808 5 .803100195 99.429880204 99.239840272 98.973784367 96.675448294 95.928861569 92.574674666

0.999910000

1.000000000

0.999855644

0.999711309 58.855028557 5.879093778 99.459136778 99.278849037

99.026446200

96.845995195 96.137651893 92.954773106
0.999920000 1.000000000 0.999871683 0.999743383 62.424840112 5.964048315 99.490069175 99.320092234 99.082124516 97.026320949 96.358423473 93.356805458
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