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 ..
Statistische voorspelling voor 'N=1'
: bij variabele steekproefgroottes en variabele foutkansen
.
Tabellen met
Voorbeelden van analyse-uitkomsten:
|
Predictive power of sample correlation for deduction to {N=1} samples. |
| Sample size: N= |
Max. induction error: Alpha= |
Max. sign estimation error: |
Min. confidence level (%): |
Cor[r]
Min. Sample corr. |
t[r]
Min. Sample corr. t-value |
Prb[r]
Min. Sample corr. cumulat. prob. |
Cor[rho]
Max. Popul. correlation (gradient) |
Cor[df]
Correlation difference |
Pvv
Max. Variance accounted for, total (ppt.) |
InfIpv
Max. Inference improvement, average (ratio) |
InfMtl
Max. Mutual information, average (bits) |
SgnEst
Max. Accuracy of sign estimation, average (pct.) |
zx1Cnf
Min. Confidence of indiv. sign prediction (z) |
SgnCnf
Max. Confidence of indiv. sign prediction (pct.) |
| 10 |
0.050 |
0.050 |
95.000 |
0.999900000 |
199.984999688 |
1.000000000 |
0.999653213 |
0.000246787 |
0.999306547 |
37.974448607 |
5.246957112 |
99.161681872 |
1.618149644 |
96.601119818 |
| 100 |
0.050 |
0.050 |
95.000 |
0.999500000 |
312.932111051 |
1.000000000 |
0.999301734 |
0.000198266 |
0.998603955 |
26.763951944 |
4.742219254 |
98.810399914 |
1.618718788 |
95.177230362 |
| 1000 |
0.050 |
0.050 |
95.000 |
0.999500000 |
998.624835657 |
1.000000000 |
0.999445099 |
0.000054901 |
0.998890506 |
30.021858820 |
4.907941400 |
98.939543424 |
1.618486591 |
95.700665227 |
| 10000 |
0.050 |
0.050 |
95.000 |
0.999275000 |
2624.438000828 |
1.000000000 |
0.999250753 |
0.000024247 |
0.998502067 |
25.837700611 |
4.691405780 |
98.767733196 |
1.618801373 |
95.004307350 |
| 100000 |
0.050 |
0.050 |
95.000 |
0.999275000 |
8299.948704458 |
1.000000000 |
0.999267419 |
0.000007581 |
0.998535376 |
26.129847475 |
4.707626798 |
98.781517426 |
1.618774374 |
95.060172555 |
| 1000000 |
0.050 |
0.050 |
95.000 |
0.999275000 |
26246.978592995 |
1.000000000 |
0.999272611 |
0.000002389 |
0.998545752 |
26.222901315 |
4.712755410 |
98.785843400 |
1.618765963 |
95.077705133 |
| 10000000 |
0.050 |
0.050 |
95.000 |
0.999275000 |
83000.308751872 |
1.000000000 |
0.999274246 |
0.000000754 |
0.998549018 |
26.252395970 |
4.714377194 |
98.787208170 |
1.618763316 |
95.083236368 |
| 100000000 |
0.050 |
0.050 |
95.000 |
0.999250000 |
258053.627591919 |
1.000000000 |
0.999249753 |
0.000000247 |
0.998500069 |
25.820486387 |
4.690444272 |
98.766911247 |
1.618802993 |
95.000976144 |
| 1000000000 |
0.050 |
0.050 |
95.000 |
0.999250000 |
816037.229003670 |
1.000000000 |
0.999249922 |
0.000000078 |
0.998500407 |
25.823389047 |
4.690606446 |
98.767049920 |
1.618802720 |
95.001538163 |
| 6700000000 |
0.050 |
0.050 |
95.000 |
0.999250000 |
2112259.996708589 |
1.000000000 |
0.999249970 |
0.000000030 |
0.998500502 |
25.824212897 |
4.690652472 |
98.767089274 |
1.618802642 |
95.001697655 |
|
Predictive power of sample correlation for deduction to {N=1} samples. |
| Sample size: N= |
Max. induction error: Alpha= |
Max. sign estimation error: |
Min. confidence level (%): |
Cor[r]
Min. Sample corr. |
t[r]
Min. Sample corr. t-value |
Prb[r]
Min. Sample corr. cumulat. prob. |
Cor[rho]
Max. Popul. correlation (gradient) |
Cor[df]
Correlation difference |
Pvv
Max. Variance accounted for, total (ppt.) |
InfIpv
Max. Inference improvement, average (ratio) |
InfMtl
Max. Mutual information, average (bits) |
SgnEst
Max. Accuracy of sign estimation, average (pct.) |
zx1Cnf
Min. Confidence of indiv. sign prediction (z) |
SgnCnf
Max. Confidence of indiv. sign prediction (pct.) |
| 10 |
0.010 |
0.010 |
99.000 |
0.999997500 |
1264.908692354 |
1.000000000 |
0.999985485 |
0.000012015 |
0.999970971 |
185.601288591 |
7.536062917 |
99.828497189 |
1.900279214 |
99.183099984 |
| 100 |
0.010 |
0.010 |
99.000 |
0.999990000 |
2213.577760131 |
1.000000000 |
0.999983960 |
0.000006040 |
0.999967920 |
176.557288729 |
7.463992570 |
99.819712009 |
1.900282112 |
99.141255229 |
| 1000 |
0.010 |
0.010 |
99.000 |
0.999990000 |
7063.940224938 |
1.000000000 |
0.999988412 |
0.000001588 |
0.999976824 |
207.722365189 |
7.698512747 |
99.846761269 |
1.900273652 |
99.270094071 |
| 10000 |
0.010 |
0.010 |
99.000 |
0.999990000 |
22358.275906585 |
1.000000000 |
0.999989524 |
0.000000476 |
0.999979047 |
218.463845961 |
7.771250735 |
99.854295801 |
1.900271540 |
99.305982097 |
| 100000 |
0.010 |
0.010 |
99.000 |
0.999990000 |
70709.440682626 |
1.000000000 |
0.999989852 |
0.000000148 |
0.999979704 |
221.968097078 |
7.794208526 |
99.856596075 |
1.900270916 |
99.316938639 |
| 1000000 |
0.010 |
0.010 |
99.000 |
0.999990000 |
223604.897090825 |
1.000000000 |
0.999989953 |
0.000000047 |
0.999979907 |
223.087679704 |
7.801467031 |
99.857315764 |
1.900270723 |
99.320366621 |
| 10000000 |
0.010 |
0.010 |
99.000 |
0.999990000 |
707101.407166244 |
1.000000000 |
0.999989985 |
0.000000015 |
0.999979971 |
223.442889925 |
7.803762328 |
99.857542592 |
1.900270662 |
99.321447039 |
| 100000000 |
0.010 |
0.010 |
99.000 |
0.999990000 |
2236051.184600058 |
1.000000000 |
0.999989995 |
0.000000005 |
0.999979991 |
223.555334709 |
7.804488163 |
99.857614247 |
1.900270643 |
99.321788339 |
| 1000000000 |
0.010 |
0.010 |
99.000 |
0.999990000 |
7071014.771692939 |
1.000000000 |
0.999989999 |
0.000000001 |
0.999979997 |
223.590904641 |
7.804717692 |
99.857636898 |
1.900270637 |
99.321896232 |
| 6700000000 |
0.010 |
0.010 |
99.000 |
0.999990000 |
18302867.942211670 |
1.000000000 |
0.999989999 |
0.000000001 |
0.999979999 |
223.601000614 |
7.804782834 |
99.857643326 |
1.900270635 |
99.321926849 |
|
Predictive power of sample correlation for deduction to {N=1} samples. |
| Sample size: N= |
Max. induction error: Alpha= |
Max. sign estimation error: |
Min. confidence level (%): |
Cor[r]
Min. Sample corr. |
t[r]
Min. Sample corr. t-value |
Prb[r]
Min. Sample corr. cumulat. prob. |
Cor[rho]
Max. Popul. correlation (gradient) |
Cor[df]
Correlation difference |
Pvv
Max. Variance accounted for, total (ppt.) |
InfIpv
Max. Inference improvement, average (ratio) |
InfMtl
Max. Mutual information, average (bits) |
SgnEst
Max. Accuracy of sign estimation, average (pct.) |
zx1Cnf
Min. Confidence of indiv. sign prediction (z) |
SgnCnf
Max. Confidence of indiv. sign prediction (pct.) |
| 10 |
0.001 |
0.001 |
99.900 |
0.999999990 |
19999.999805264 |
1.000000000 |
0.999999897 |
0.000000093 |
0.999999793 |
2198.782823370 |
11.102489399 |
99.985523359 |
1.923132314 |
99.930214236 |
| 100 |
0.001 |
0.001 |
99.900 |
0.999999900 |
22135.941966366 |
1.000000000 |
0.999999813 |
0.000000087 |
0.999999625 |
1633.825236072 |
10.674037957 |
99.980517506 |
1.923132475 |
99.906083140 |
| 1000 |
0.001 |
0.001 |
99.900 |
0.999999900 |
70639.926768982 |
1.000000000 |
0.999999878 |
0.000000022 |
0.999999757 |
2027.576366144 |
10.985540537 |
99.984300966 |
1.923132349 |
99.924321599 |
| 10000 |
0.001 |
0.001 |
99.900 |
0.999999900 |
223584.419237600 |
1.000000000 |
0.999999894 |
0.000000006 |
0.999999787 |
2168.008763132 |
11.082154873 |
99.985317869 |
1.923132320 |
99.929223654 |
| 100000 |
0.001 |
0.001 |
99.900 |
0.999999900 |
707099.657222865 |
1.000000000 |
0.999999898 |
0.000000002 |
0.999999796 |
2214.320859103 |
11.112648571 |
99.985624942 |
1.923132311 |
99.930703928 |
| 1000000 |
0.001 |
0.001 |
99.900 |
0.999999900 |
2236065.574269562 |
1.000000000 |
0.999999899 |
0.000000001 |
0.999999799 |
2229.168073575 |
11.122289681 |
99.985720687 |
1.923132309 |
99.931165469 |
| 10000000 |
0.001 |
0.001 |
99.900 |
0.999999900 |
7071066.576148271 |
1.000000000 |
0.999999900 |
0.000000000 |
0.999999800 |
2233.883772087 |
11.125338410 |
99.985750830 |
1.923132308 |
99.931310778 |
| 100000000 |
0.001 |
0.001 |
99.900 |
0.999999900 |
22360677.879778120 |
1.000000000 |
0.999999900 |
0.000000000 |
0.999999800 |
2235.377078998 |
11.126302500 |
99.985760349 |
1.923132308 |
99.931356665 |
| 1000000000 |
0.001 |
0.001 |
99.900 |
0.999999900 |
70710672.761839660 |
1.000000000 |
0.999999900 |
0.000000000 |
0.999999800 |
2235.849511107 |
11.126607372 |
99.985763358 |
1.923132307 |
99.931371169 |
| 6700000000 |
0.001 |
0.001 |
99.900 |
0.999999900 |
183030038.467171300 |
1.000000000 |
0.999999900 |
0.000000000 |
0.999999800 |
2235.983608975 |
11.126693897 |
99.985764212 |
1.923132307 |
99.931375285 |
|