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 15.308116275 3.936224859 97.919164544 97.180005147 94.655776197 87.893282064 85.200890410 73.340263560
0.998500000 1.000000000 0.998398012 0.996798590 17.673778128 4.143538573 98.198008546 97.597344728 96.756415383 89.509259253 87.170069084 76.810479618
0.998600000 1.000000000 0.998504806 0.997011848 18.293578468 4.193265408 98.259123404 97.678831205 96.866422127 89.863819515 87.602494552 77.577098903
0.998700000 1.000000000 0.998611601 0.997225129 18.983604050 4.246682009 98.322461420 97.763281893 96.980430556 90.231412384 88.050944959 78.373745835
0.998750000 1.000000000 0.998664998 0.997331779 19.359278419 4.274953274 98.355044010 97.806725347 97.039079218 90.420562805 88.281751934 78.784384868
0.998800000 1.000000000 0.998718396 0.997438435 19.758200057 4.304379620 98.388284674 97.851046233 97.098912414 90.613568901 88.517297901 79.203881224
0.998900000 1.000000000 0.998825192 0.997651766 20.636180493 4.367104065 98.456911172 97.942548229 97.222440109 91.012146592 89.003831133 80.071700355
0.999000000 1.000000000 0.998931989 0.997865120 21.642793698 4.435814832 98.528733127 98.038310836 97.351719629 91.429436184 89.513353338 80.982372597
0.999100000 1.000000000 0.999038787 0.998078499 22.812859455 4.511775386 98.604243743 98.138991657 97.487638737 91.868317870 90.049395598 81.942392143
0.999200000 1.000000000 0.999145586 0.998291902 24.196003942 4.596696895 98.684077858 98.245437144 97.631340144 92.332498511 90.616502034 82.960110232
0.999250000 1.000000000 0.999198985 0.998398612 24.989170418 4.643231103 98.725868452 98.301157937 97.706563215 92.575548544 90.913509383 83.493921545
0.999275000 1.000000000 0.999225685 0.998451970 25.416186141 4.667675656 98.747286208 98.329714945 97.745115176 92.700129174 91.065763523 83.767775600
0.999300000 1.000000000 0.999252385 0.998505329 25.865881349 4.692978445 98.769076413 98.358768551 97.784337544 92.826887819 91.220690710 84.046578923
0.999400000 1.000000000 0.999359185 0.998718781 27.937551266 4.804133668 98.860394409 98.480525878 97.948709936 93.358228256 91.870225364 85.216963468
0.999500000 1.000000000 0.999465985 0.998932256 30.603184637 4.935609885 98.959694676 98.612926235 98.127450417 93.936225643 92.577000524 86.493076510

0.999600000

1.000000000

0.999572787

0.999145757 34.214428615 5.096532949

99.069529331

98.759372442 98.325152796 94.575774635 93.359267853 87.908364641
0.999700000 1.000000000 0.999679589 0.999359281 39.506296884 5.304010716 99.194194565 98.925592754 98.549550218 95.301945534 94.247745019 89.519078264
0.999710000 1.000000000 0.999690269 0.999380635 40.181552981 5.328461418 99.207739049 98.943652065 98.573930288 95.380857211 94.344309263 89.694329784
0.999720000 1.000000000 0.999700949 0.999401989 40.892669966 5.353770357 99.221519112 98.962025482 98.598734402 95.461144333 94.442559481 89.872677253
0.999730000 1.000000000 0.999711630 0.999423343 41.642938485 5.379999969 99.235547494 98.980729992 98.623985489 95.542881225 94.542586731 90.054287242
0.999740000 1.000000000 0.999722310 0.999444697 42.436088051 5.407219763 99.249838126 98.999784168 98.649708627 95.626149167 94.644490584 90.239341882

0.999750000

1.000000000

0.999732990

0.999466052 43.276365281 5.435507429 99.264406292

99.019208390

98.675931326 95.711037331 94.748380281 90.428040981
0.999760000 1.000000000 0.999743670 0.999487407 44.168629896 5.464950175 99.279268822 99.039025096 98.702683880 95.797643902 94.854376104 90.620604521
0.999770000 1.000000000 0.999754351 0.999508762 45.118473425 5.495646350 99.294444317 99.059259090 98.729999772 95.886077407 94.962611001 90.817275640
0.999780000 1.000000000 0.999765031 0.999530118 46.132367275 5.527707420 99.309953426 99.079937902 98.757916168 95.976458305 95.073232539 91.018324186
0.999790000 1.000000000 0.999775711 0.999551474 47.217849149 5.561260420 99.325819172 99.101092230 98.786474510 96.068920916 95.186405260 91.224051028
0.999800000 1.000000000 0.999786392 0.999572829 48.383760117 5.596450986 99.342067355 99.122756473 98.815721239 96.163615753 95.302313543 91.434793289
0.999810000 1.000000000 0.999797072 0.999594186 49.640549469 5.633447179 99.358727043 99.144969391 98.845708678 96.260712400 95.421165126 91.650930773
0.999820000 1.000000000 0.999807752 0.999615542 51.000671512 5.672444337 99.375831187 99.167774916 98.876496137 96.360403079 95.543195476 91.872893950
0.999830000 1.000000000 0.999818433 0.999636899 52.479108969 5.713671319 99.393417383 99.191223177 98.908151289 96.462907116 95.668673259 92.101173952
0.999840000 1.000000000 0.999829113 0.999658256 54.094073703 5.757398642 99.411528847 99.215371796 98.940751925 96.568476618 95.797907293 92.336335270
0.999850000 1.000000000 0.999839793 0.999679613 55.867960399 5.803949246 99.430215666 99.240287555 98.974388200 96.677403770 95.931255489 92.579032087

0.999860000

1.000000000

0.999850474

0.999700970 57.828668756 5.853712985 99.449536433 99.266048578

99.009165580

96.790030371 96.069136525 92.830029602
0.999870000 1.000000000 0.999861154 0.999722328 60.011475222 5.907166489 99.469560416 99.292747222 99.045208750 96.906760490 96.212045352 93.090232357
0.999880000 1.000000000 0.999871834 0.999743686 62.461746358 5.964901000 99.490370500 99.320494000 99.082666900 97.0280 77619 96.360574199 93.360722596
0.999890000 1.000000000 0.999882515 0.999765044 65.238981054 6 .027662344 99.512067253 99.349423004 99.121721055 97.154568408 96.515441652 93.642813378
0.999900000 1.000000000 0.999893195 0.999786402 68.423026228 6 .096410008 99.534774714 99.379699619 99.162594486 97.286956400 96.677533962 93.938124024
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