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 90.503433634 88.382883874 78.964443897
0.998000000 1.000000000 0.997904803 0.995813997 15.456112704 3.950105614 97.939117124 97.211963298 94.879641163 91.505272481 89.605967264 81.148098547

0.998500000

1.000000000

0.998428584

0.996859637 17.844736390 4.157426684 98.215290400 97.620387200

96.787522720

92.642711344 90.995589910 83.641539592
0.998600000 1.000000000 0.998533341 0.997068834 18.470550889 4.207154990 98.275819726 97.701092968 96.896475508 92.892060721 91.300350798 84.189988057
0.998700000 1.000000000 0.998638099 0.997278054 19.167271340 4.260573063 98.338550848 97.784734464 97.009391527 93.150499729 91.616266249 84.759077412
0.998750000 1.000000000 0.998690479 0.997382673 19.546590343 4.288845064 98.370821212 97.827761617 97.067478183 93.283454282 91.778806993 85.052096176
0.998800000 1.000000000 0.998742858 0.997487297 19.949381945 4.318272145 98.403743328 97.871657771 97.126737991 93.419099142 91.944648519 85.351214377
0.998900000 1.000000000 0.998847617 0.997696562 20.835879038 4.380998061 98.471712119 97.962282825 97.249081815 93.699158191 92.287089769 85.969318032
0.999000000 1.000000000 0.998952377 0.997905851 21.852255634 4.449710300 98.542845670 98.057127560 97.377122207 93.992279266 92.645553579 86.616987176
0.999100000 1.000000000 0.999057137 0.998115163 23.033668940 4.525672325 98.617632450 98.156843267 97.511738411 94.300477289 93.022508931 87.298745353
0.999200000 1.000000000 0.999161897 0.998324497 24.430226029 4.610595306 98.696701205 98.262268273 97.654062169 94.626345760 93.421133615 88.020412755
0.999250000 1.000000000 0.999214278 0.998429173 25.231083380 4.657130249 98.738091126 98.317454835 97.728564027 94.796936803 93.629834432 88.398523993
0.999275000 1.000000000 0.999240468 0.998481513 25.662239463 4.681575170 98.759303528 98.345738038 97.766746351 94.884367429 93.736802609 88.592394442
0.999300000 1.000000000 0.999266658 0.998533855 26.116294815 4.706878327 98.780884803 98.374513070 97.805592645 94.973320084 93.845636799 88.789695939

0.999400000

1.000000000

0.999371420

0.998743235 28.208049807 4.818035022 98.871327158 98.495102877 97.968388884

95.346118539

94.301799195 89.617175177
0.999500000 1.000000000 0.999476182 0.998952638 30.899524039 4.949512710 98.969675143 98.626233525 98.145415258 95.751533784 94.797942592 90.518076410

0.999600000

1.000000000

0.999580944

0.999162065 34.545771959 5.110437245 99.078456382 98.771275176 98.341221487 96.199990942

95.346838352

91.515758725
0.999700000 1.000000000 0.999685707 0.999371514 39.888929037 5.317916484 99.201925833 98.935901111 98.563466500 96.709039064 95.969984010 92.649528025
0.999710000 1.000000000 0.999696184 0.999392460 40.570729360 5.342367333 99.215340392 98.953787189 98.587612705 96.764347713 96.037694656 92.772788620
0.999720000 1.000000000 0.999706660 0.999413407 41.288738044 5.367676419 99.228988268 98.971984357 98.612178883 96.820618759 96.106584476 92.898208245
0.999730000 1.000000000 0.999717136 0.999434353 42.046277616 5.393906178 99.242882080 98.990509440 98.637187745 96.877904237 96.176717211 93.025903385
0.999740000 1.000000000 0.999727613 0.999455300 42.847113724 5.421126119 99.257035625 99.009380834 98.662664125 96.936261051 96.248162562 93.156001410
0.999750000 1.000000000 0.999738089 0.999476247 43.695534134 5.449413932 99.271464040 99.028618721 98.688635273 96.995751632 96.320996999 93.288642060
0.999760000 1.000000000 0.999748565 0.999497195 44.596445648 5.478856826 99.286183994 99.048245326 98.715131190 97.056444721 96.395304722 93.423979193
0.999770000 1.000000000 0.999759042 0.999518142 45.555493972 5.509553147 99.301213910 99.068285213 98.742185038 97.118416299 96.471178802 93.562182868
0.999780000 1.000000000 0.999769518 0.999539090 46.579213216 5.541614365 99.316574237 99.088765649 98.769833626 97.181750704 96.548722543 93.703441838
0.999790000 1.000000000 0.999779995 0.999560038 47.675214115 5.575167512 99.332287778 99.109717037 98.798118000 97.246541979 96.628051132 93.847966564
0.999800000 1.000000000 0.999790471 0.999580986 48.852423397 5.610358225 99.348380085 99.131173446 98.827084153 97.312895503 96.709293649 93.995992879
0.999810000 1.000000000 0.999800947 0.999601935 50.121391595 5.647354565 99.364879948 99.153173265 98.856783907 97.380930013 96.792595526 94.147786489
0.999820000 1.000000000 0.999811424 0.999622883 51.494693683 5.686351871 99.381820002 99.175760003 98.887276004 97.450780092 96.878121613 94.303648554
0.999830000 1.000000000 0.999821900 0.999643832 52.987457550 5.727579000 99.399237481 99.198983308 98.918627466 97.522599306 96.966060001 94.463922698
0.999840000 1.000000000 0.999832376 0.999664782 54.618071509 5.771306470 99.417175187 99.222900250 98.950915337 97.596564172 97.056626899 94.629003887
0.999850000 1.000000000 0.999842853 0.999685731 56.409147222 5.817857221 99.435682727 99.247576970 98.984228909 97.672879273 97.150072888 94.799349867
0.999860000 1.000000000 0.999853329 0.999706681 58.388854701 5.867621107 99.454818131 99.273090841 99.018672635 97.751783929 97.246691095 94.975496089

0.999870000

1.000000000

0.999863806

0.999727630 60.592812179 5.921074759 99.474650001 99.299533335 99.054370003 97.833561069 97.346828059

95.158075545

0.999880000 1.000000000 0.999874282 0.999748581 63.066825760 5.978809417 99.495260428 99.327013905 99.091468771 97.918549231 97.4508 98429 95.347845616
0.999890000 1.000000000 0.999884759 0.999769531 65.870970801 6 .041570907 99.516749016 99.355665355 99.130148229 98.007159191 97.559405333 95.545725261
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