Values_of_first_significance_optimized

- Method for Causal Analysis

Statistical results applied for practical use: Deductive Validity

[dd. 2022|01|29 - 21h:24m (08s:063ms) v. 1.1 / ]

Predictive power of sample correlation for deduction to N=1 samples (11) Values of first significance, optimized (compact) Basic parameters: Number of variables involved: ( v = 2 ). Testing One- of two-sided: ( j = 2 ). Sample size(s): N ₀ = 1000000000; N ₁ = 1000000; N ₂ = 1000; N ₃ = 500; N ₄ = 100; N ₅ = 50; N ₆ = 25; N ₇ = 10; N ₈ = 5; N ₉ = 3; Significance criteria levels: Alpha; Max. accepted random error (type I): ( α ≤ 0.050 ). Epsilon; Max. accepted estimation error: ( ε ≤ 0.050 ).
I. Sample statistics (descriptive)			II. Population statistics (generalization)											III. Individual statistics ('N=1' prediction)
									Averages for individuals (max. accuracy of re-test estimation)					Values for individuals (max. confidence of prediction)
(1) Sgf.	(2) Min. Sample correlation	(3) Min. Sample count of hits (balanced)	(4) Min. 'signif.' diff. of effect	(5) Max. Mutual information, average	(6) Max. Population Incentive Efficacy (balanced)	(7) Max. Population Incentive Efficacy (balanced), lower bound of Confidence Interval	(8) Max. Popul. correlation (gradient)	(9) Max. Population variance accounted for, total	(10) Max. Conditional Bivariate prob., average	(11) Sign (1/2) estimate, overall	(12) Some 5th (quintile) predicted, overall	(13) Some 10th (decile) predicted, overall	(14) Some 20th (vigintile) predicted, overall	(15) Sign (1/2) predicted, average indiv.	(16) Some 5th (quintile) predicted, average indiv.	(17) Some 10th (decile) predicted, average indiv.	(18) Some 20th (vigintile) predicted, average indiv.
(index)	r > 0.__ (gradient)	h_Χ 1 ≥ 70.__ (pct.)	p ≥ 0.95 (prb.)	b ≥ 1.__ (bits)	IE₂ ≥ 95.__ (pct.)	IE_2-l ≥ 95.__ (pct.)	α ≤ 0.05 ρ ≥ 0.95 (gradient)	σ² ≥ 0.95 (ppt.)	p ≥ 95.__ (pct.)	ε ≤ 0.05 p ≥ 95.__ (pct.)	ε ≤ 0.05 p ≥ 95.__ (pct.)	ε ≤ 0.05 p ≥ 95.__ (pct.)	ε ≤ 0.05 p ≥ 95.__ (pct.)	ε ≤ 0.05 p ≥ 95.__ (pct.)	ε ≤ 0.05 p ≥ 95.__ (pct.)	ε ≤ 0.05 p ≥ 95.__ (pct.)	ε ≤ 0.05 p ≥ 95.__ (pct.)
1. (3)
00 * 01 * 02 * 03 * 04 * 05 * 06 * 07 * 08 * 09 *	00.400000 00.400000 00.400000 00.400000 00.400000 00.400000 00.400000 00.400000 00.400000 00.400000	0070.0000 * 0070.0000 * 0070.0000 * 0070.0000 * 0070.0000 * 0070.0000 * 0070.0000 * 0070.0000 * 0070.0000 * 0070.0000 *	0001.000000 0001.000000 0001.000000 0000.999999 0000.999979 0000.997999 0000.976216 0000.873929 0000.750049 0000.657043	000.125739 000.124821 000.097381 000.086581 000.047294 000.024861 000.004680 000.000000 000.000000 000.000000	057.1383 057.0016 052.4382 050.3340 040.2448 031.0898 014.8875 000.0000 000.0000 000.0000	057.1353 056.9045 049.3422 045.9505 030.6312 018.2573 000.9309 000.0000 000.0000 000.0000	00.399956 00.398617 00.355364 00.336309 00.251915 00.184061 00.080424 00.000000 00.000000 00.000000	0.159965 0.158895 0.126284 0.113103 0.063461 0.033878 0.006468 0.000000 0.000000 0.000000	0063.0974 0063.0509 0061.5643 0060.9178 0058.1060 0055.8924 0052.5627 0050.0000 0050.0000 0050.0000	0063.0974 0063.0509 0061.5643 0060.9178 0058.1060 0055.8924 0052.5627 0050.0000 0050.0000 0050.0000	0025.2389 0025.2203 0024.6257 0024.3671 0023.2424 0022.3569 0021.0251 0020.0000 0020.0000 0020.0000	0012.6194 0012.6101 0012.3128 0012.1835 0011.6212 0011.1784 0010.5125 0010.0000 0010.0000 0010.0000	0006.3097 0006.3050 0006.1564 0006.0917 0005.8106 0005.5892 0005.2562 0005.0000 0005.0000 0005.0000	0000.0163 0000.0154 0000.0015 0000.0004 0000.0000 0000.0000 0000.0000 0000.0000 0000.0000 0000.0000	0000.0000 0000.0000 0000.0000 0000.0000 0000.0000 0000.0000 0000.0000 0000.0000 0000.0000 0000.0000	0000.0000 0000.0000 0000.0000 0000.0000 0000.0000 0000.0000 0000.0000 0000.0000 0000.0000 0000.0000	0000.0000 0000.0000 0000.0000 0000.0000 0000.0000 0000.0000 0000.0000 0000.0000 0000.0000 0000.0000
2. (4)
00 * 01 * 02 * 03 * 04 * 05 * 06 * 07 * 08 * 09 *	00.000052 00.001644 00.052046 00.073646 00.165433 00.235291 00.336521 00.549319 00.803397 00.953282	0050.0026 0050.0822 0052.6023 0053.6823 0058.2716 0061.7645 0066.8260 0077.4659 0090.1698 0097.6641	0000.950010 * 0000.950000 * 0000.950000 * 0000.950000 * 0000.950000 * 0000.950000 * 0000.950000 * 0000.950000 * 0000.950000 * 0000.950000 *	000.000000 000.000000 000.000000 000.000000 000.000000 000.000003 000.000036 000.000920 000.017991 000.035061	000.0000 000.0000 000.0030 000.0113 000.1551 000.4624 001.4127 006.8976 027.1317 035.7713	000.0000 000.0000 000.0000 000.0000 000.0000 000.0000 000.0000 000.0000 000.0000 000.0000	00.000000 00.000000 00.000015 00.000056 00.000776 00.002317 00.007113 00.035720 00.156950 00.217814	0.000000 0.000000 0.000000 0.000000 0.000000 0.000005 0.000050 0.001275 0.024633 0.047443	0050.0000 0050.0000 0050.0004 0050.0018 0050.0247 0050.0737 0050.2264 0051.1372 0055.0166 0056.9892	0050.0000 0050.0000 0050.0004 0050.0018 0050.0247 0050.0737 0050.2264 0051.1372 0055.0166 0056.9892	0020.0000 0020.0000 0020.0001 0020.0007 0020.0098 0020.0295 0020.0905 0020.4549 0022.0066 0022.7957	0010.0000 0010.0000 0010.0000 0010.0003 0010.0049 0010.0147 0010.0452 0010.2274 0011.0033 0011.3978	0005.0000 0005.0000 0005.0000 0005.0001 0005.0024 0005.0073 0005.0226 0005.1137 0005.5016 0005.6989	0000.0000 0000.0000 0000.0000 0000.0000 0000.0000 0000.0000 0000.0000 0000.0000 0000.0000 0000.0000	0000.0000 0000.0000 0000.0000 0000.0000 0000.0000 0000.0000 0000.0000 0000.0000 0000.0000 0000.0000	0000.0000 0000.0000 0000.0000 0000.0000 0000.0000 0000.0000 0000.0000 0000.0000 0000.0000 0000.0000	0000.0000 0000.0000 0000.0000 0000.0000 0000.0000 0000.0000 0000.0000 0000.0000 0000.0000 0000.0000
3. (5)
00 * 01 * 02 * 03 * 04 * 05 * 06 * 07 * 08 * 09 *	00.866038 00.866436 00.878472 00.883320 00.902056 00.914512 00.930218 00.956119 00.978745 00.994667	0093.3019 0093.3218 0093.9236 0094.1660 0095.1028 0095.7256 0096.5109 0097.8059 0098.9372 0099.7333	0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0000.999999 0000.999999 0000.999999 0001.000000	001.000000 * 001.000000 * 001.000000 * 001.000000 * 001.000000 * 001.000000 * 001.000000 * 001.000000 * 001.000000 * 001.000000 *	092.8203 092.8203 092.8203 092.8203 092.8203 092.8203 092.8203 092.8203 092.8203 092.8203	092.8187 092.7697 091.2199 090.5570 087.7595 085.6632 082.6987 076.8167 070.1878 063.6019	00.866025 00.866025 00.866025 00.866025 00.866025 00.866025 00.866025 00.866025 00.866025 00.866025	0.750000 0.750000 0.750000 0.750000 0.750000 0.750000 0.750000 0.750000 0.750000 0.750000	0083.3333 0083.3333 0083.3333 0083.3333 0083.3333 0083.3333 0083.3333 0083.3333 0083.3333 0083.3333	0083.3333 0083.3333 0083.3333 0083.3333 0083.3333 0083.3333 0083.3333 0083.3333 0083.3333 0083.3333	0033.3333 0033.3333 0033.3333 0033.3333 0033.3333 0033.3333 0033.3333 0033.3333 0033.3333 0033.3333	0016.6666 0016.6666 0016.6666 0016.6666 0016.6666 0016.6666 0016.6666 0016.6666 0016.6666 0016.6666	0008.3333 0008.3333 0008.3333 0008.3333 0008.3333 0008.3333 0008.3333 0008.3333 0008.3333 0008.3333	0034.2285 0034.2285 0034.2285 0034.2285 0034.2285 0034.2285 0034.2285 0034.2285 0034.2286 0034.2286	0013.3215 0013.3215 0013.3215 0013.3215 0013.3215 0013.3215 0013.3215 0013.3215 0013.3215 0013.3215	0003.3711 0003.3711 0003.3711 0003.3711 0003.3711 0003.3711 0003.3711 0003.3711 0003.3712 0003.3712	0000.2672 0000.2672 0000.2672 0000.2672 0000.2672 0000.2672 0000.2672 0000.2672 0000.2672 0000.2672
4. (6)
00 * 01 * 02 * 03 * 04 * 05 * 06 * 07 * 08 * 09 *	00.904771 00.905059 00.913776 00.917278 00.930761 00.939682 00.950883 00.969236 00.985150 00.996283	0095.2385 0095.2529 0095.6888 0095.8639 0096.5380 0096.9841 0097.5441 0098.4618 0099.2575 0099.8141	0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0000.999999 0000.999999 0000.999999 0001.000000	001.231353 001.231353 001.231353 001.231353 001.231353 001.231353 001.231353 001.231353 001.231353 001.231353	095.0000 * 095.0000 * 095.0000 * 095.0000 * 095.0000 * 095.0000 * 095.0000 * 095.0000 * 095.0000 * 095.0000 *	094.9986 094.9572 093.6488 093.0892 090.7274 088.9576 086.4548 081.4889 075.8924 070.3322	00.904761 00.904761 00.904761 00.904761 00.904761 00.904761 00.904761 00.904761 00.904761 00.904761	0.818594 0.818594 0.818594 0.818594 0.818594 0.818594 0.818594 0.818594 0.818594 0.818594	0085.9951 0085.9951 0085.9951 0085.9951 0085.9951 0085.9951 0085.9951 0085.9951 0085.9951 0085.9951	0085.9951 0085.9951 0085.9951 0085.9951 0085.9951 0085.9951 0085.9951 0085.9951 0085.9951 0085.9951	0034.3980 0034.3980 0034.3980 0034.3980 0034.3980 0034.3980 0034.3980 0034.3980 0034.3980 0034.3980	0017.1990 0017.1990 0017.1990 0017.1990 0017.1990 0017.1990 0017.1990 0017.1990 0017.1990 0017.1990	0008.5995 0008.5995 0008.5995 0008.5995 0008.5995 0008.5995 0008.5995 0008.5995 0008.5995 0008.5995	0043.8742 0043.8742 0043.8742 0043.8742 0043.8742 0043.8742 0043.8742 0043.8742 0043.8742 0043.8742	0022.0837 0022.0837 0022.0837 0022.0837 0022.0837 0022.0837 0022.0837 0022.0837 0022.0837 0022.0837	0008.3375 0008.3375 0008.3375 0008.3375 0008.3375 0008.3375 0008.3375 0008.3375 0008.3375 0008.3375	0001.4340 0001.4340 0001.4340 0001.4340 0001.4340 0001.4340 0001.4340 0001.4340 0001.4340 0001.4340
5. (7)
00 * 01 * 02 * 03 * 04 * 05 * 06 * 07 * 08 * 09 *	00.904795 00.905829 00.933569 00.942846 00.969572 00.980756 00.989641 00.996730 00.999134 00.999864	0095.2397 0095.2914 0096.6784 0097.1423 0098.4786 0099.0378 0099.4820 0099.8365 0099.9567 0099.9932	0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000	001.231529 001.236934 001.410487 001.485598 001.799168 002.022548 002.312703 002.795592 003.220245 003.555268	095.0013 095.0425 096.1872 096.5909 097.8460 098.4379 098.9660 099.4759 099.7104 099.8184	095.0000 * 095.0000 * 095.0000 * 095.0000 * 095.0000 * 095.0000 * 095.0000 * 095.0000 * 095.0000 * 095.0000 *	00.904786 00.905534 00.926544 00.934065 00.957828 00.969238 00.979533 00.989573 00.994226 00.996375	0.818638 0.819992 0.858485 0.872479 0.917435 0.939423 0.959485 0.979256 0.988486 0.992763	0085.9969 0086.0529 0087.7235 0088.3765 0090.7229 0092.0843 0093.5488 0095.3994 0096.5778 0097.2889	0085.9969 0086.0529 0087.7235 0088.3765 0090.7229 0092.0843 0093.5488 0095.3994 0096.5778 0097.2889	0034.3987 0034.4211 0037.3827 0039.1266 0047.1671 0053.6251 0062.7563 0078.5463 0090.3903 0096.4423	0017.1993 0017.2105 0019.2067 0020.1623 0024.6975 0028.5330 0034.3676 0046.4092 0059.2949 0070.3940	0008.5996 0008.6298 0009.6696 0010.1584 0012.4951 0014.4969 0017.5982 0024.2926 0032.1320 0039.8340	0043.8811 0044.0902 0050.4245 0052.9453 0062.1700 0067.6177 0073.5363 0081.0796 0085.9098 0088.8319	0022.0906 0022.3019 0029.1002 0032.0084 0043.5272 0050.8985 0059.3048 0070.5041 0077.8950 0082.4282	0008.3421 0008.4839 0013.5358 0015.9685 0026.9866 0035.0317 0044.9775 0059.2433 0069.1403 0075.3511	0001.4355 0001.4806 0003.4699 0004.6748 0011.8665 0018.6555 0028.5138 0044.9021 0057.4542 0065.6983
6. (8)
00 * 01 * 02 * 03 * 04 * 05 * 06 * 07 * 08 * 09 *	00.950005 00.950160 00.954834 00.956706 00.963884 00.968606 00.974506 00.984104 00.992357 00.998092	0097.5002 0097.5080 0097.7417 0097.8353 0098.1942 0098.4303 0098.7253 0099.2052 0099.6178 0099.9046	0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0000.999999 0001.000000 0001.000000	001.679227 001.679227 001.679227 001.679227 001.679227 001.679227 001.679227 001.679227 001.679227 001.679231	097.4358 097.4358 097.4358 097.4358 097.4358 097.4358 097.4358 097.4358 097.4359 097.4359	097.4349 097.4049 096.4560 096.0501 094.3372 093.0537 091.2386 087.6371 083.5783 079.5459	00.950000 * 00.950000 * 00.950000 * 00.950000 * 00.950000 * 00.950000 * 00.950000 * 00.950000 * 00.950000 * 00.950000 *	0.902500 0.902500 0.902500 0.902500 0.902500 0.902500 0.902500 0.902500 0.902500 0.902500	0089.8917 0089.8917 0089.8917 0089.8917 0089.8917 0089.8917 0089.8917 0089.8917 0089.8917 0089.8917	0089.8917 0089.8917 0089.8917 0089.8917 0089.8917 0089.8917 0089.8917 0089.8917 0089.8917 0089.8917	0043.9461 0043.9461 0043.9461 0043.9461 0043.9461 0043.9461 0043.9461 0043.9461 0043.9461 0043.9462	0022.8528 0022.8528 0022.8528 0022.8528 0022.8528 0022.8528 0022.8528 0022.8528 0022.8528 0022.8529	0011.5411 0011.5411 0011.5411 0011.5411 0011.5411 0011.5411 0011.5411 0011.5411 0011.5411 0011.5411	0058.8757 0058.8757 0058.8757 0058.8757 0058.8757 0058.8757 0058.8757 0058.8757 0058.8757 0058.8758	0039.2648 0039.2648 0039.2648 0039.2648 0039.2648 0039.2648 0039.2648 0039.2648 0039.2648 0039.2650	0022.6699 0022.6699 0022.6699 0022.6699 0022.6699 0022.6699 0022.6699 0022.6699 0022.6700 0022.6701	0008.7331 0008.7331 0008.7331 0008.7331 0008.7331 0008.7331 0008.7331 0008.7331 0008.7331 0008.7332
7. (9)
00 * 01 * 02 * 03 * 04 * 05 * 06 * 07 * 08 * 09 *	00.974682 00.974761 00.977155 00.978112 00.981774 00.984176 00.987169 00.992019 00.996170 00.999045	0098.7341 0098.7380 0098.8577 0098.9056 0099.0887 0099.2088 0099.3584 0099.6009 0099.8085 0099.9522	0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000	002.160964 002.160964 002.160964 002.160964 002.160964 002.160964 002.160964 002.160964 002.160965 002.160964	098.7177 098.7177 098.7177 098.7177 098.7177 098.7177 098.7177 098.7177 098.7177 098.7177	098.7170 098.6956 098.0202 097.7313 096.5121 095.5985 094.3065 091.7429 088.8539 085.9836	00.974679 00.974679 00.974679 00.974679 00.974679 00.974679 00.974679 00.974679 00.974679 00.974679	0.950000 * 0.950000 * 0.950000 * 0.950000 * 0.950000 * 0.950000 * 0.950000 * 0.950000 * 0.950000 * 0.950000 *	0092.8216 0092.8216 0092.8216 0092.8216 0092.8216 0092.8216 0092.8216 0092.8216 0092.8216 0092.8216	0092.8216 0092.8216 0092.8216 0092.8216 0092.8216 0092.8216 0092.8216 0092.8216 0092.8216 0092.8216	0057.8937 0057.8937 0057.8937 0057.8937 0057.8937 0057.8937 0057.8937 0057.8937 0057.8938 0057.8937	0031.1907 0031.1907 0031.1907 0031.1907 0031.1907 0031.1907 0031.1907 0031.1907 0031.1908 0031.1907	0015.9003 0015.9003 0015.9003 0015.9003 0015.9003 0015.9003 0015.9003 0015.9003 0015.9003 0015.9003	0070.5909 0070.5909 0070.5909 0070.5909 0070.5909 0070.5909 0070.5909 0070.5909 0070.5909 0070.5909	0055.0739 0055.0739 0055.0739 0055.0739 0055.0739 0055.0739 0055.0739 0055.0739 0055.0740 0055.0739	0039.8784 0039.8784 0039.8784 0039.8784 0039.8784 0039.8784 0039.8784 0039.8784 0039.8785 0039.8784	0023.2750 0023.2750 0023.2750 0023.2750 0023.2750 0023.2750 0023.2750 0023.2750 0023.2750 0023.2750
8. (10)
00 * 01 * 02 * 03 * 04 * 05 * 06 * 07 * 08 * 09 *	00.987689 00.987728 00.988899 00.989367 00.991154 00.992325 00.993781 00.996136 00.998148 00.999538	0099.3844 0099.3864 0099.4449 0099.4683 0099.5577 0099.6162 0099.6890 0099.8068 0099.9074 0099.9769	0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000	002.676369 002.676370 002.676370 002.676369 002.676370 002.676370 002.676370 002.676371 002.676370 002.676377	099.3806 099.3806 099.3806 099.3806 099.3806 099.3806 099.3806 099.3806 099.3806 099.3806	099.3801 099.3652 098.8942 098.6927 097.8425 097.2054 096.3044 094.5167 092.5021 090.5005	00.987688 00.987688 00.987688 00.987688 00.987688 00.987688 00.987688 00.987688 00.987688 00.987688	0.975528 0.975528 0.975528 0.975528 0.975528 0.975528 0.975528 0.975528 0.975528 0.975528	0095.0000 * 0095.0000 * 0095.0000 * 0095.0000 * 0095.0000 * 0095.0000 * 0095.0000 * 0095.0000 * 0095.0000 * 0095.0000 *	0095.0000 0095.0000 0095.0000 0095.0000 0095.0000 0095.0000 0095.0000 0095.0000 0095.0000 0095.0000	0074.7207 0074.7208 0074.7208 0074.7207 0074.7208 0074.7208 0074.7208 0074.7208 0074.7208 0074.7210	0043.1605 0043.1605 0043.1605 0043.1605 0043.1605 0043.1605 0043.1605 0043.1605 0043.1605 0043.1607	0022.4392 0022.4392 0022.4392 0022.4392 0022.4392 0022.4392 0022.4392 0022.4392 0022.4392 0022.4393	0079.4462 0079.4463 0079.4463 0079.4462 0079.4463 0079.4463 0079.4463 0079.4463 0079.4463 0079.4464	0068.0399 0068.0399 0068.0399 0068.0399 0068.0399 0068.0399 0068.0399 0068.0400 0068.0399 0068.0401	0056.0203 0056.0203 0056.0203 0056.0203 0056.0203 0056.0203 0056.0203 0056.0203 0056.0203 0056.0205	0041.0033 0041.0033 0041.0033 0041.0033 0041.0033 0041.0033 0041.0033 0041.0033 0041.0033 0041.0035
9. (11)
00 * 01 * 02 * 03 * 04 * 05 * 06 * 07 * 08 * 09 *	00.987689 00.987728 00.988899 00.989367 00.991154 00.992325 00.993781 00.996136 00.998148 00.999538	0099.3844 0099.3864 0099.4449 0099.4683 0099.5577 0099.6162 0099.6890 0099.8068 0099.9074 0099.9769	0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000	002.676369 002.676370 002.676370 002.676369 002.676370 002.676370 002.676370 002.676371 002.676370 002.676377	099.3806 099.3806 099.3806 099.3806 099.3806 099.3806 099.3806 099.3806 099.3806 099.3806	099.3801 099.3652 098.8942 098.6927 097.8425 097.2054 096.3044 094.5167 092.5021 090.5005	00.987688 00.987688 00.987688 00.987688 00.987688 00.987688 00.987688 00.987688 00.987688 00.987688	0.975528 0.975528 0.975528 0.975528 0.975528 0.975528 0.975528 0.975528 0.975528 0.975528	0095.0000 0095.0000 0095.0000 0095.0000 0095.0000 0095.0000 0095.0000 0095.0000 0095.0000 0095.0000	0095.0000 * 0095.0000 * 0095.0000 * 0095.0000 * 0095.0000 * 0095.0000 * 0095.0000 * 0095.0000 * 0095.0000 * 0095.0000 *	0074.7207 0074.7208 0074.7208 0074.7207 0074.7208 0074.7208 0074.7208 0074.7208 0074.7208 0074.7210	0043.1605 0043.1605 0043.1605 0043.1605 0043.1605 0043.1605 0043.1605 0043.1605 0043.1605 0043.1607	0022.4392 0022.4392 0022.4392 0022.4392 0022.4392 0022.4392 0022.4392 0022.4392 0022.4392 0022.4393	0079.4462 0079.4463 0079.4463 0079.4462 0079.4463 0079.4463 0079.4463 0079.4463 0079.4463 0079.4464	0068.0399 0068.0399 0068.0399 0068.0399 0068.0399 0068.0399 0068.0399 0068.0400 0068.0399 0068.0401	0056.0203 0056.0203 0056.0203 0056.0203 0056.0203 0056.0203 0056.0203 0056.0203 0056.0203 0056.0205	0041.0033 0041.0033 0041.0033 0041.0033 0041.0033 0041.0033 0041.0033 0041.0033 0041.0033 0041.0035
10. (12)
00 * 01 * 02 * 03 * 04 * 05 * 06 * 07 * 08 * 09 *	00.995836 00.995849 00.996247 00.996406 00.997011 00.997408 00.997901 00.998697 00.999375 00.999844	0099.7918 0099.7924 0099.8123 0099.8203 0099.8505 0099.8704 0099.8950 0099.9348 0099.9687 0099.9922	0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000	003.455462 003.455462 003.455462 003.455461 003.455460 003.455460 003.455462 003.455468 003.455465 003.455463	099.7913 099.7913 099.7913 099.7913 099.7913 099.7913 099.7913 099.7913 099.7913 099.7913	099.7910 099.7824 099.5085 099.3913 098.8969 098.5264 098.0024 096.9628 095.7911 094.6271	00.995836 00.995836 00.995836 00.995836 00.995836 00.995836 00.995836 00.995836 00.995836 00.995836	0.991689 0.991689 0.991689 0.991689 0.991689 0.991689 0.991689 0.991690 0.991689 0.991689	0097.0942 0097.0942 0097.0942 0097.0942 0097.0942 0097.0942 0097.0942 0097.0942 0097.0942 0097.0942	0097.0942 0097.0942 0097.0942 0097.0942 0097.0942 0097.0942 0097.0942 0097.0942 0097.0942 0097.0942	0095.0000 * 0095.0000 * 0095.0000 * 0095.0000 * 0095.0000 * 0095.0000 * 0095.0000 * 0095.0001 * 0095.0000 * 0095.0000 *	0067.0570 0067.0570 0067.0570 0067.0569 0067.0569 0067.0569 0067.0570 0067.0572 0067.0571 0067.0570	0037.3917 0037.3917 0037.3917 0037.3917 0037.3916 0037.3916 0037.3917 0037.3918 0037.3918 0037.3917	0088.0313 0088.0313 0088.0313 0088.0313 0088.0313 0088.0313 0088.0313 0088.0314 0088.0314 0088.0313	0081.1823 0081.1823 0081.1823 0081.1823 0081.1823 0081.1823 0081.1823 0081.1824 0081.1824 0081.1823	0073.6352 0073.6352 0073.6352 0073.6352 0073.6352 0073.6352 0073.6352 0073.6353 0073.6353 0073.6352	0063.3968 0063.3968 0063.3968 0063.3968 0063.3968 0063.3968 0063.3968 0063.3970 0063.3969 0063.3968
11. (13)
00 * 01 * 02 * 03 * 04 * 05 * 06 * 07 * 08 * 09 *	00.998967 00.998971 00.999069 00.999109 00.999259 00.999357 00.999480 00.999677 00.999845 00.999961	0099.9483 0099.9485 0099.9534 0099.9554 0099.9629 0099.9678 0099.9740 0099.9838 0099.9922 0099.9980	0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000	004.460398 004.460406 004.460404 004.460399 004.460409 004.460406 004.460397 004.460416 004.460401 004.460614	099.9483 099.9483 099.9483 099.9483 099.9483 099.9483 099.9483 099.9483 099.9483 099.9483	099.9482 099.9439 099.8075 099.7491 099.5030 099.3185 099.0576 098.5400 097.9566 097.3774	00.998967 00.998967 00.998967 00.998967 00.998967 00.998967 00.998967 00.998967 00.998967 00.998968	0.997936 0.997936 0.997936 0.997936 0.997936 0.997936 0.997936 0.997936 0.997936 0.997937	0098.5536 0098.5536 0098.5536 0098.5536 0098.5536 0098.5536 0098.5536 0098.5536 0098.5536 0098.5538	0098.5536 0098.5536 0098.5536 0098.5536 0098.5536 0098.5536 0098.5536 0098.5536 0098.5536 0098.5538	0099.9951 0099.9951 0099.9951 0099.9951 0099.9951 0099.9951 0099.9951 0099.9951 0099.9951 0099.9951	0095.0000 * 0095.0001 * 0095.0001 * 0095.0000 * 0095.0001 * 0095.0001 * 0095.0000 * 0095.0003 * 0095.0000 * 0095.0034 *	0067.1231 0067.1233 0067.1233 0067.1231 0067.1234 0067.1233 0067.1230 0067.1237 0067.1231 0067.1303	0094.0379 0094.0379 0094.0379 0094.0379 0094.0379 0094.0379 0094.0379 0094.0379 0094.0379 0094.0388	0090.5862 0090.5863 0090.5863 0090.5862 0090.5863 0090.5863 0090.5862 0090.5863 0090.5862 0090.5876	0086.7178 0086.7179 0086.7179 0086.7178 0086.7179 0086.7179 0086.7178 0086.7180 0086.7179 0086.7198	0081.3031 0081.3032 0081.3032 0081.3031 0081.3032 0081.3032 0081.3031 0081.3033 0081.3031 0081.3058
12. (14)
00 * 01 * 02 * 03 * 04 * 05 * 06 * 07 * 08 * 09 *	00.999742 00.999743 00.999767 00.999777 00.999815 00.999839 00.999870 00.999919 00.999961 00.999990	0099.9871 0099.9871 0099.9883 0099.9888 0099.9907 0099.9919 0099.9935 0099.9959 0099.9980 0099.9995	0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000	005.461651 005.461653 005.461682 005.461651 005.461678 005.461646 005.461656 005.461745 005.461834 005.462306	099.9871 099.9871 099.9871 099.9871 099.9871 099.9871 099.9871 099.9871 099.9871 099.9871	099.9870 099.9848 099.9167 099.8876 099.7646 099.6725 099.5422 099.2837 098.9924 098.7034	00.999742 00.999742 00.999742 00.999742 00.999742 00.999742 00.999742 00.999742 00.999742 00.999742	0.999485 0.999485 0.999485 0.999485 0.999485 0.999485 0.999485 0.999485 0.999485 0.999485	0099.2776 0099.2776 0099.2776 0099.2776 0099.2776 0099.2776 0099.2776 0099.2776 0099.2777 0099.2779	0099.2776 0099.2776 0099.2776 0099.2776 0099.2776 0099.2776 0099.2776 0099.2776 0099.2777 0099.2779	0100.0000 0100.0000 0100.0000 0100.0000 0100.0000 0100.0000 0100.0000 0100.0000 0100.0000 0100.0000	0099.9950 0099.9950 0099.9950 0099.9950 0099.9950 0099.9950 0099.9950 0099.9950 0099.9950 0099.9950	0095.0001 * 0095.0002 * 0095.0006 * 0095.0001 * 0095.0006 * 0095.0001 * 0095.0002 * 0095.0016 * 0095.0031 * 0095.0106 *	0097.0217 0097.0217 0097.0218 0097.0217 0097.0218 0097.0217 0097.0217 0097.0219 0097.0221 0097.0231	0095.2926 0095.2926 0095.2927 0095.2926 0095.2927 0095.2926 0095.2926 0095.2929 0095.2932 0095.2947	0093.3466 0093.3466 0093.3468 0093.3466 0093.3467 0093.3466 0093.3466 0093.3470 0093.3475 0093.3496	0090.6016 0090.6016 0090.6018 0090.6016 0090.6018 0090.6016 0090.6016 0090.6022 0090.6028 0090.6059
13. (15)
00 * 01 * 02 * 03 * 04 * 05 * 06 * 07 * 08 * 09 *	00.999274 00.999276 00.999345 00.999373 00.999479 00.999548 00.999634 00.999773 00.999891 00.999972	0099.9637 0099.9638 0099.9672 0099.9686 0099.9739 0099.9774 0099.9817 0099.9886 0099.9945 0099.9986	0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000	004.714251 004.714252 004.714253 004.714250 004.714255 004.714254 004.714256 004.714286 004.714269 004.714495	099.9636 099.9636 099.9636 099.9636 099.9636 099.9636 099.9636 099.9636 099.9636 099.9637	099.9635 099.9599 099.8455 099.7966 099.5902 099.4355 099.2167 098.7826 098.2934 097.8078	00.999274 00.999274 00.999274 00.999274 00.999274 00.999274 00.999274 00.999274 00.999274 00.999274	0.998548 0.998548 0.998548 0.998548 0.998548 0.998548 0.998548 0.998548 0.998548 0.998549	0098.7871 0098.7871 0098.7871 0098.7871 0098.7871 0098.7871 0098.7871 0098.7871 0098.7871 0098.7873	0098.7871 0098.7871 0098.7871 0098.7871 0098.7871 0098.7871 0098.7871 0098.7871 0098.7871 0098.7873	0099.9999 0099.9999 0099.9999 0099.9999 0099.9999 0099.9999 0099.9999 0099.9999 0099.9999 0099.9999	0098.0908 0098.0908 0098.0909 0098.0908 0098.0909 0098.0909 0098.0909 0098.0911 0098.0910 0098.0929	0075.5809 0075.5810 0075.5810 0075.5809 0075.5811 0075.5810 0075.5811 0075.5821 0075.5815 0075.5889	0095.0000 * 0095.0000 * 0095.0000 * 0095.0000 * 0095.0000 * 0095.0000 * 0095.0000 * 0095.0001 * 0095.0000 * 0095.0008 *	0092.1021 0092.1021 0092.1021 0092.1021 0092.1021 0092.1021 0092.1021 0092.1023 0092.1022 0092.1034	0088.8489 0088.8489 0088.8489 0088.8489 0088.8489 0088.8489 0088.8489 0088.8492 0088.8490 0088.8508	0084.2814 0084.2814 0084.2814 0084.2814 0084.2814 0084.2814 0084.2814 0084.2817 0084.2816 0084.2840
14. (16)
00 * 01 * 02 * 03 * 04 * 05 * 06 * 07 * 08 * 09 *	00.999709 00.999710 00.999738 00.999749 00.999791 00.999819 00.999853 00.999909 00.999956 00.999989	0099.9854 0099.9855 0099.9869 0099.9874 0099.9895 0099.9909 0099.9926 0099.9954 0099.9978 0099.9994	0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000	005.374584 005.374583 005.374609 005.374598 005.374626 005.374586 005.374633 005.374654 005.374696 005.374754	099.9854 099.9854 099.9854 099.9854 099.9854 099.9854 099.9854 099.9854 099.9854 099.9854	099.9853 099.9831 099.9107 099.8798 099.7491 099.6513 099.5129 099.2383 098.9288 098.6214	00.999709 00.999709 00.999709 00.999709 00.999709 00.999709 00.999709 00.999709 00.999709 00.999709	0.999418 0.999418 0.999419 0.999419 0.999419 0.999418 0.999419 0.999419 0.999419 0.999419	0099.2326 0099.2326 0099.2326 0099.2326 0099.2326 0099.2326 0099.2326 0099.2327 0099.2327 0099.2327	0099.2326 0099.2326 0099.2326 0099.2326 0099.2326 0099.2326 0099.2326 0099.2327 0099.2327 0099.2327	0100.0000 0100.0000 0100.0000 0100.0000 0100.0000 0100.0000 0100.0000 0100.0000 0100.0000 0100.0000	0099.9852 0099.9852 0099.9852 0099.9852 0099.9852 0099.9852 0099.9852 0099.9852 0099.9852 0099.9852	0093.4818 0093.4818 0093.4823 0093.4821 0093.4826 0093.4819 0093.4827 0093.4831 0093.4839 0093.4850	0096.8364 0096.8364 0096.8365 0096.8365 0096.8365 0096.8364 0096.8365 0096.8366 0096.8367 0096.8368	0095.0000 * 0095.0000 * 0095.0001 * 0095.0000 * 0095.0001 * 0095.0000 * 0095.0001 * 0095.0002 * 0095.0004 * 0095.0006 *	0092.9335 0092.9335 0092.9337 0092.9336 0092.9337 0092.9335 0092.9338 0092.9339 0092.9341 0092.9344	0090.0196 0090.0196 0090.0198 0090.0197 0090.0199 0090.0196 0090.0199 0090.0201 0090.0204 0090.0208
15. (17)
00 * 01 * 02 * 03 * 04 * 05 * 06 * 07 * 08 * 09 *	00.999854 00.999855 00.999869 00.999874 00.999895 00.999909 00.999926 00.999954 00.999978 00.999994	0099.9927 0099.9927 0099.9934 0099.9937 0099.9947 0099.9954 0099.9963 0099.9977 0099.9989 0099.9997	0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000	005.874384 005.874382 005.874429 005.874410 005.874455 005.874454 005.874407 005.874565 005.874846 005.874651	099.9927 099.9927 099.9927 099.9927 099.9927 099.9927 099.9927 099.9927 099.9927 099.9927	099.9926 099.9910 099.9398 099.9180 099.8256 099.7564 099.6585 099.4643 099.2457 099.0281	00.999854 00.999854 00.999854 00.999854 00.999854 00.999854 00.999854 00.999854 00.999854 00.999854	0.999709 0.999709 0.999709 0.999709 0.999709 0.999709 0.999709 0.999709 0.999709 0.999709	0099.4573 0099.4573 0099.4573 0099.4573 0099.4573 0099.4573 0099.4573 0099.4574 0099.4575 0099.4574	0099.4573 0099.4573 0099.4573 0099.4573 0099.4573 0099.4573 0099.4573 0099.4574 0099.4575 0099.4574	0100.0000 0100.0000 0100.0000 0100.0000 0100.0000 0100.0000 0100.0000 0100.0000 0100.0000 0100.0000	0099.9999 0099.9999 0099.9999 0099.9999 0099.9999 0099.9999 0099.9999 0099.9999 0099.9999 0099.9999	0099.1342 0099.1342 0099.1344 0099.1343 0099.1345 0099.1345 0099.1343 0099.1351 0099.1364 0099.1355	0097.7627 0097.7627 0097.7628 0097.7628 0097.7628 0097.7628 0097.7628 0097.7630 0097.7634 0097.7631	0096.4633 0096.4633 0096.4634 0096.4634 0096.4635 0096.4635 0096.4634 0096.4637 0096.4644 0096.4639	0095.0000 * 0095.0000 * 0095.0002 * 0095.0001 * 0095.0002 * 0095.0002 * 0095.0001 * 0095.0006 * 0095.0016 * 0095.0009 *	0092.9336 0092.9336 0092.9338 0092.9337 0092.9339 0092.9339 0092.9337 0092.9345 0092.9358 0092.9349
16. (18)
00 * 01 * 02 * 03 * 04 * 05 * 06 * 07 * 08 * 09 *	00.999927 00.999927 00.999934 00.999937 00.999947 00.999954 00.999963 00.999977 00.999989 00.999997	0099.9963 0099.9963 0099.9967 0099.9968 0099.9973 0099.9977 0099.9981 0099.9988 0099.9994 0099.9998	0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000 0001.000000	006.374357 006.374282 006.374400 006.374380 006.374318 006.374418 006.374368 006.374521 006.374797 006.376589	099.9963 099.9963 099.9963 099.9963 099.9963 099.9963 099.9963 099.9963 099.9963 099.9963	099.9963 099.9951 099.9590 099.9435 099.8782 099.8292 099.7600 099.6227 099.4681 099.3152	00.999927 00.999927 00.999927 00.999927 00.999927 00.999927 00.999927 00.999927 00.999927 00.999927	0.999854 0.999854 0.999854 0.999854 0.999854 0.999854 0.999854 0.999854 0.999854 0.999855	0099.6163 0099.6162 0099.6163 0099.6163 0099.6162 0099.6163 0099.6163 0099.6163 0099.6164 0099.6168	0099.6163 0099.6162 0099.6163 0099.6163 0099.6162 0099.6163 0099.6163 0099.6163 0099.6164 0099.6168	0100.0000 0100.0000 0100.0000 0100.0000 0100.0000 0100.0000 0100.0000 0100.0000 0100.0000 0100.0000	0100.0000 0100.0000 0100.0000 0100.0000 0100.0000 0100.0000 0100.0000 0100.0000 0100.0000 0100.0000	0099.9850 0099.9850 0099.9850 0099.9850 0099.9850 0099.9850 0099.9850 0099.9851 0099.9851 0099.9854	0098.4180 0098.4179 0098.4180 0098.4180 0098.4179 0098.4180 0098.4180 0098.4182 0098.4185 0098.4204	0097.4989 0097.4988 0097.4990 0097.4989 0097.4988 0097.4990 0097.4989 0097.4992 0097.4996 0097.5027	0096.4635 0096.4633 0096.4636 0096.4635 0096.4634 0096.4636 0096.4635 0096.4639 0096.4646 0096.4689	0095.0003 * 0095.0000 * 0095.0004 * 0095.0004 * 0095.0001 * 0095.0005 * 0095.0003 * 0095.0008 * 0095.0018 * 0095.0080 *

- Method for Causal Analysis

Statistical results applied for practical use: Deductive Validity

(11) Values of first significance, optimized (compact)

Basic parameters:

v

=

j

=

Sample size(s):

N

N

N

N

N

N

N

N

N

N

Significance criteria levels:

α

≤

ε

≤

I. Sample statistics

II. Population statistics

III. Individual statistics

Averages for individuals

Values for individuals

Χ

α

ε

ε

ε

ε

ε

ε

ε

ε

(3)

00*

00

01*

01

02*

02

03*

03

04*

04

05*

05

06*

06

07*

07

08*

08

09*

09

0070.0000*

0070.0000

0070.0000*

0070.0000

0070.0000*

0070.0000

0070.0000*

0070.0000

0070.0000*

0070.0000

0070.0000*

0070.0000

0070.0000*

0070.0000

0070.0000*

0070.0000

0070.0000*

0070.0000

0070.0000*

0070.0000

00
*

01
*

02
*

03
*

04
*

05
*

06
*

07
*

08
*

09
*

0070.0000
*

0070.0000
*

0070.0000
*

0070.0000
*

0070.0000
*

0070.0000
*

0070.0000
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001.000000
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001.000000
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001.000000
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