General Summary of Findings by Statistical Significance
This page presents the cumulative findings of all analyses performed on this website. To date, all analyses test the Qur’ânic initials only. The first section tabulates all findings with a level of significance of at least p < .2 (i.e., 20% probability) and specifies which tests produced the results in each case. The second section separates all findings into two lists, namely, those tests that included the alif-initialed chapters, and those tests that did not. The third section lists only the most significant outcome for each of five rule conditions: 4 rules (principal analysis); 3 rules (4th or 6th supplementary analysis); 2 rules (3rd or 7th supplementary analysis); 1 rule (1st supplementary analysis); and no rules (2nd or 5th supplementary analysis). For each outcome, the number in bold refers to the prime number for which the noted level of significance was found.
The intent of these tabulations is to illustrate the actual amount of variance in significant outcomes generated by the various analyses. A common argument made against findings of great significance for multiples of 19 is that multiples of other numbers would produce similarly surprising levels of significance if different tests were performed. If such were the case, then with each change in the rules used to generate the working data set, one or two highly unusual multiples of other numbers would appear and the 19-based code would prove rather frail by comparison. As a consequence, the tabulations that follow would include several highly significant (p < .001) outcomes, along with the significant outcomes associated with the number 19.
At the same time, the following lists should provide some general insight into which structural features of the Qur’ân are probably most closely linked to the Qur’ân Code, and which are not.
Section 1—All Findings
This section lists all findings resulting from all analyses performed to date, for levels of significance of p < .2 (i.e., 20% probability). Note that the most highly significant prime number after 19 is 59, which is directly associated with a multiple of 19: The total for the first ħâ-mîm series is 1,121, which is 19 x 59. Interestingly, the two most significant findings do not depend on the exclusion of the alif-initialed chapters to achieve their respective levels of significance, nor do they require the complete array of four rules present in the principal analysis.
The 6th and 7th supplementary analyses dominate every list featured here. These two analyses only clustered chapters into quasi-similar groups. That is, all alif-lâm-mîm chapters, including the one with the additional şâd, constituted a single unit for the purpose of counting the Qur’ânic initials. Likewise, all alif-lâm-râ chapters, including the one with the extra mîm inserted, constituted a single unit. In the 7th supplementary analysis, these sums were not aggregated across the interruption in the ħâ-mîm group made by ‘ayn-sîn-qâf. This would suggest that quasi-similarity is the main grouping rule for the muqaţţa‘ât.
p = .00000070022 19 [6th suppl. analysis (3 rules), alif-inclusive, no-hamzah]
p = .0000014475 19 [7th suppl. analysis (2 rules), alif-inclusive, no-hamzah]
p = .0000037122 19 [6th suppl. analysis (3 rules), alif-exclusive]
p = .0000037122 19 [7th suppl. analysis (2 rules), alif-exclusive]
p = .0000077998 19 [principal analysis (4 rules), alif-exclusive]
p = .000014899 19 [4th suppl. analysis (3 rules), alif-exclusive]
p = .000014899 19 [6th suppl. analysis (3 rules), alif-inclusive, with-hamzah]
p = .000026430 19 [7th suppl. analysis (2 rules), alif-inclusive, with-hamzah]
p = .000081377 19 [3rd suppl. analysis (2 rules), alif-exclusive]
p = .00022748 19 [4th suppl. analysis (3 rules), alif-inclusive, with-hamzah or no-hamzah]
p = .00043360 19 [principal analysis (4 rules), alif-inclusive, with-hamzah or no-hamzah]
p = .00054119 19 [3rd suppl. analysis (2 rules), alif-inclusive, with-hamzah or no-hamzah]
p = .00328 59 [4th suppl. analysis (3 rules), alif-inclusive, with-hamzah]
p = .01051 19 [1st suppl. analysis (one rule), alif-exclusive]
p = .01751 83 [1st suppl. analysis (one rule), alif-exclusive]
p = .01912 19 [1st suppl. analysis (one rule), alif-inclusive, with-hamzah]
p = .03252 11 [3rd suppl. analysis (2 rules), alif-inclusive, no-hamzah]
p = .04348 03 [1st suppl. analysis (one rule), alif-inclusive, with-hamzah]
p = .04460 59 [principal analysis (4 rules), alif-inclusive, with-hamzah]
p = .05054 83 [1st suppl. analysis (one rule), alif-inclusive, with-hamzah or no-hamzah]
p = .05528 47 [4th suppl. analysis (3 rules), alif-inclusive, with-hamzah or no-hamzah]
p = .05541 31 [6th suppl. analysis (3 rules), alif-inclusive, with-hamzah]
p = .05542 11 [3rd suppl. analysis (2 rules), alif-exclusive]
p = .06222 11 [1st suppl. analysis (one rule), alif-exclusive]
p = .06678 47 [principal analysis (4 rules), alif-inclusive, no-hamzah]
p = .07068 19 [1st suppl. analysis (one rule), alif-inclusive, no-hamzah]
p = .07548 03 [1st suppl. analysis (one rule), alif-exclusive]
p = .07656 03 [6th suppl. analysis (3 rules), alif-exclusive]
p = .07656 03 [7th suppl. analysis (2 rules), alif-exclusive]
p = .07681 79 [5th suppl. analysis (by chapter—no rules), alif-inclusive, no-hamzah]
p = .08872 11 [4th suppl. analysis (3 rules), alif-exclusive]
p = .08977 03 [1st suppl. analysis (one rule), alif-inclusive, no-hamzah]
p = .10634 02 [5th suppl. analysis (by chapter—no rules), alif-inclusive, no-hamzah]
p = .11327 31 [4th suppl. analysis (3 rules), alif-inclusive, with-hamzah]
p = .11494 29 [1st suppl. analysis (one rule), alif-exclusive]
p = .12209 03 [principal analysis (4 rules), alif-exclusive]
p = .12837 11 [3rd suppl. analysis (2 rules), alif-inclusive, with-hamzah]
p = .13175 11 [1st suppl. analysis (one rule), alif-inclusive, with-hamzah or no-hamzah]
p = .13537 83 [4th suppl. analysis (3 rules), alif-exclusive]
p = .13661 89 [7th suppl. analysis (2 rules), alif-inclusive, with-hamzah or no-hamzah]
p = .14946 03 [3rd suppl. analysis (2 rules), alif-inclusive, with-hamzah]
p = .15026 29 [principal analysis (4 rules), alif-inclusive, with-hamzah]
p = .15713 59 [6th suppl. analysis (3 rules), alif-exclusive]
p = .15713 59 [7th suppl. analysis (2 rules), alif-exclusive]
p = .16054 02 [5th suppl. analysis (by chapter—no rules), alif-exclusive]
p = .16416 73 [2nd suppl. analysis (cross-section—no rules), alif-exclusive]
p = .16840 71 [2nd suppl. analysis (cross-section—no rules), alif-exclusive]
p = .17142 59 [principal analysis (4 rules), alif-exclusive]
p = .17561 73 [2nd suppl. analysis (cross-section—no rules), alif-inclusive, with-hamzah or no-hamzah]
p = .17757 67 [7th suppl. analysis (2 rules), alif-inclusive, no-hamzah]
p = .17772 03 [4th suppl. analysis (3 rules), alif-exclusive]
p = .17772 03 [6th suppl. analysis (3 rules), alif-inclusive, with-hamzah or no-hamzah]
p = .17992 61 [6th suppl. analysis (3 rules), alif-inclusive, with-hamzah]
p = .18011 71 [2nd suppl. analysis (cross-section—no rules), alif-inclusive, with-hamzah or no-hamzah]
p = .18404 89 [4th suppl. analysis (3 rules), alif-inclusive, with-hamzah or no-hamzah]
p = .18546 59 [4th suppl. analysis (3 rules), alif-exclusive]
p = .18546 59 [6th suppl. analysis (3 rules), alif-inclusive, with-hamzah or no-hamzah]
p = .19055 03 [principal analysis (4 rules), alif-inclusive, no-hamzah]
p = .19602 83 [4th suppl. analysis (3 rules), alif-inclusive, with-hamzah or no-hamzah]
p = .19901 79 [5th suppl. analysis (by chapter—no rules), alif-exclusive]
p = .19927 59 [7th suppl. analysis (2 rules), alif-inclusive, with-hamzah or no-hamzah]
