Origen -- A Basic Stylometric Study

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Peter Kirby
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Re: Origen -- A Basic Stylometric Study

Post by Peter Kirby »

After quotations are removed, the extant letter of Origen to Africanus ('Epistula ad Africanum') is 3146 words long. The same list of 33 words is used. 'Origen' is represented by the text of the Contra Celsum. Origen is selected as the best candidate out of 33 candidates, including the controls.
testsize: 3146


Bayesian Author Test: Posterior Probabilities from Equal Priors, Z-Score-Based Method
$VAR1 = '0.571605557924121'; $VAR2 = '0.428394442075879';

Bayesian Comparison of Best Author to Best Control: from Equal Priors, Z-Score-Based Method
$VAR1 = 1; $VAR2 = '0.700279080037205'; $VAR3 = 26; $VAR4 = '0.299720919962795';

Percentage of Samples in the Best Author Candidate that Meet the P-Value>0.15 Test, Z-Score-Based Method
0.934782608695652
Percentage of Samples outside the Best Author Candidate that Meet the P-Value>0.15 Test, Z-Score-Based Method
0.0931174089068826
Posterior Probability of a Sample Meeting the Test Being by the Best Author Candidate (with Prior = 0.5), Not Any Other, Z-Score-Based Method
0.909410052230499

Author Z-Score-Based P-Values
$VAR1 = '0.154226843914763'; $VAR2 = '0.115586564609225';
Good compatibility. Z-Score-Based P-Value > 0.15.
Excellent indicator. 0% of the rest have P-Value > 0.15.

Control Z-Score-Based P-Values
$VAR1 = '4.62727891547043e-10'; $VAR2 = '4.89240672413124e-09'; $VAR3 = '1.19720377334198e-12'; $VAR4 = '2.41176944739949e-191'; $VAR5 = '4.3889516755941e-22'; $VAR6 = '0.000829455149458106'; $VAR7 = '2.28111516156559e-10'; $VAR8 = '0.000116356376399116'; $VAR9 = '0.00273648577876892'; $VAR10 = '0.003256678582928'; $VAR11 = '0.0102618040042968'; $VAR12 = '0.0316877254331756'; $VAR13 = '5.07955912639619e-07'; $VAR14 = '0.00502178905686297'; $VAR15 = '0.000488560145337713'; $VAR16 = '5.22685729724083e-06'; $VAR17 = '0.00555342122656823'; $VAR18 = '0.0212510987536074'; $VAR19 = '0.000466499071176199'; $VAR20 = '0.00108001642019921'; $VAR21 = '0.0588928756666444'; $VAR22 = '0.00103773527685847'; $VAR23 = '0.00429809690182683'; $VAR24 = '0.00238612677018574'; $VAR25 = '0.0586111591445165'; $VAR26 = '0.0660094137592047'; $VAR27 = '0.0496782007271702'; $VAR28 = '0.0477952694638649'; $VAR29 = '0.012881875825158'; $VAR30 = '0.0389796936702007'; $VAR31 = '0.0568189070560157';
"... almost every critical biblical position was earlier advanced by skeptics." - Raymond Brown
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Peter Kirby
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Re: Origen -- A Basic Stylometric Study

Post by Peter Kirby »

Eight samples were taken from the 'Commentarium in evangelium Joannis' (books 19, 20, 28, 32): one comprising the 19th book (4090 words long), three from the 20th book (lengths of 3243, 3207, and 3233 words), two from the 28th book (2732 and 2665 words), and two from the 32nd book (3861 and 3930 words). The direct quotations were removed first. The same list of 33 words was used. The author of the Contra Celsum was treated as the 'Origen' candidate. Origen was considered the best candidate for authorship, out of 33 candidates including the controls, 8 out of 8 times (100% accuracy).
33 Words
$VAR1 = [ 'O', 'OI', 'H', 'AI', 'TO', 'TA' ]; $VAR2 = [ 'TOU', 'TWN', 'THS' ]; $VAR3 = [ 'TWi', 'TOIS', 'THi', 'TAIS' ]; $VAR4 = [ 'TON', 'TOUS', 'THN', 'TAS', 'TO', 'TA' ]; $VAR5 = [ 'AUTOS', 'AUTOU', 'AUTWi', 'AUTON', 'AUTOI', 'AUTWN', 'AUTOIS', 'AUTOUS', 'AUTH', 'AUTHS', 'AUTHi', 'AUTHN', 'AUTAI', 'AUTWN', 'AUTAIS', 'AUTAS', 'AUTO', 'AUTA' ]; $VAR6 = [ 'OUTOS', 'TOUTOU', 'TOUTWi', 'TOUTON', 'AUTOI', 'TOUTWN', 'TOUTOIS', 'TOUTOUS', 'AUTH', 'TAUTHS', 'TAUTHi', 'TAUTHN', 'AUTAI', 'TAUTAIS', 'TAUTAS', 'TOUTO', 'TOUTO', 'TAUTA' ]; $VAR7 = [ 'ODE', 'TOUDE', 'TWiDE', 'TONDE', 'OIDE', 'TWNDE', 'TOISDE', 'TOUSDE', 'HDE', 'THSDE', 'THiDE', 'THNDE', 'AIDE', 'TWNDE', 'TAISDE', 'TASDE', 'TODE', 'TOUDE', 'TODE', 'TADE' ]; $VAR8 = [ 'EKEINOS', 'EKEINOU', 'EKEINWi', 'EKEINON', 'EKEINOI', 'EKEINWN', 'EKEINOIS', 'EKEINOUS', 'EKEINH', 'EKEINHS', 'EKEINHi', 'EKEINHN', 'EKEINAI', 'EKEINAIS', 'EKEINAS', 'EKEINO', 'EKEINOU', 'EKEINWi', 'EKEINO', 'EKEINA', 'EKEINWN', 'EKEINOIS', 'EKEINA' ]; $VAR9 = [ 'DH' ]; $VAR10 = [ 'EIMI', 'EI', 'ESTI', 'ESTIN', 'ESMEN', 'ESTE', 'EISI', 'EISIN', 'HN', 'HSQA', 'HN', 'HMEN', 'HTE', 'HSAN', 'ESOMAI', 'ESHi', 'ESEI', 'ESTAI', 'ESOMEQA', 'ESESQE', 'ESONTAI', 'W', 'HiS', 'Hi', 'WMEN', 'HTE', 'WSI', 'EIHN', 'EIHS', 'EIH', 'EIHMEN', 'EIMEN', 'EIHTE', 'EITE', 'EIHSAN', 'EIEN', 'ESOIMHN', 'ESOIO', 'ESOITO', 'ESOIMEQA', 'ESOISQE', 'ESOINTO', 'ISQI', 'ESTW', 'ESTE', 'ESTWN', 'ONTWN', 'ESTWSAN', 'EINAI', 'ESESQAI', 'WN', 'OUSA', 'ON', 'ESOMENOS', 'ESOMENH', 'ESOMENON' ]; $VAR11 = [ 'LEGW', 'LEGEIS', 'LEGEI', 'LEGETON', 'LEGETON', 'LEGOMEN', 'LEGETE', 'LEGOUSI', 'LEGOUSIN', 'LEGW', 'LEGHiS', 'LEGHi', 'LEGHTON', 'LEGHTON', 'LEGWMEN', 'LEGHTE', 'LEGWSI', 'LEGWSIN', 'LEGOIMI', 'LEGOIS', 'LEGOI', 'LEGOITON', 'LEGOITHN', 'LEGOIMEN', 'LEGOITE', 'LEGOIEN', 'LEGE', 'LEGETW', 'LEGETON', 'LEGETWN', 'LEGETE', 'LEGONTWN', 'LEGOMAI', 'LEGEI', 'LEGHi', 'LEGETAI', 'LEGESQON', 'LEGESQON', 'LEGOMEQA', 'LEGESQE', 'LEGONTAI', 'LEGWMAI', 'LEGHi', 'LEGHTAI', 'LEGHSQON', 'LEGHSQON', 'LEGWMEQA', 'LEGHSQE', 'LEGWNTAI', 'LEGOIMHN', 'LEGOIO', 'LEGOITO', 'LEGOISQON', 'LEGOISQHN', 'LEGOIMEQA', 'LEGOISQE', 'LEGOINTO', 'LEGOU', 'LEGESQW', 'LEGESQON', 'LEGESQWN', 'LEGESQE', 'LEGESQWN', 'LEGEIN', 'LEGESQAI', 'LEGWN', 'LEGOUSA', 'LEGON', 'LEGOMENOS', 'LEGOMENH', 'LEGOMENON', 'ELEGON', 'ELEGOMHN', 'ELEGON', 'ELEGES', 'ELEGE', 'ELEGETON', 'ELEGETHN', 'ELEGOMEN', 'ELEGETE', 'ELEGON', 'ELEGOU', 'ELEGETO', 'ELEGESQON', 'ELEGESQHN', 'ELEGOMEQA', 'ELEGESQE', 'ELEGONTO', 'LECW', 'LECOMAI', 'LEXQHSOMAI', 'LECW', 'LECEIS', 'LECEI', 'LECETON', 'LECETON', 'LECOMEN', 'LECETE', 'LECOUSI', 'LECOUSIN', 'LECOIMI' ]; $VAR12 = [ 'KAI', 'KA' ]; $VAR13 = [ 'TE', 'T' ]; $VAR14 = [ 'OUTE', 'OUT', 'OUQ', 'EITE', 'EIT', 'EIQ', 'MHTE', 'MHT', 'MHQ' ]; $VAR15 = [ 'DE', 'D' ]; $VAR16 = [ 'MH' ]; $VAR17 = [ 'META', 'MET', 'MEQ', 'ME', 'M' ]; $VAR18 = [ 'MEN' ]; $VAR19 = [ 'ALLA', 'ALL' ]; $VAR20 = [ 'GAR' ]; $VAR21 = [ 'EIS' ]; $VAR22 = [ 'EPI', 'EP' ]; $VAR23 = [ 'DIA', 'DI' ]; $VAR24 = [ 'EK', 'EC' ]; $VAR25 = [ 'KATA', 'KAT', 'KAQ' ]; $VAR26 = [ 'OUDE', 'OUD', 'MHDE', 'MHD' ]; $VAR27 = [ 'OUN' ]; $VAR28 = [ 'EPEI' ]; $VAR29 = [ 'OTI', 'OT', 'OQ' ]; $VAR30 = [ 'OUN' ]; $VAR31 = [ 'PERI' ]; $VAR32 = [ 'GIGNOMAI', 'GIGNWMAI', 'GIGNOIMHN', 'GIGESQAI', 'EGIGNOMHN', 'GENHSOMAI', 'GENHSOIMEHN', 'GENHQHSOMAI', 'GENHQHSOIMHN', 'GENHSESQAI', 'GENHSOMENOS', 'GENHSOMENH', 'GENHSOMENON', 'GEGONA', 'GEGONWS', 'GEGONW', 'GEGONWS', 'GEGONW', 'GEGONWS', 'GEGONOIMI', 'GEGONOIHN', 'GEGENHMAI', 'GEGENHMAI', 'GEGENHMENOS', 'GEGONENAI', 'GEGONWS', 'GEGONUIA', 'GEGONOS', 'EGEGONEIN', 'EGEGONH', 'EGEGENHMHN', 'GIGNEI', 'GIGNHi', 'GIGNOIO', 'GIGNOU', 'EGIGNOU', 'GENHSEI', 'GENHSHi', 'GENHSOIO', 'GENHQHSEI', 'GENHQHSHi', 'GENHQHSOIO', 'EGENOU', 'GENHi', 'GENOIO', 'GENOU', 'EGENHQHS', 'GENHQHiS', 'GENHQEIHS', 'GENHQHTI', 'GEGONAS', 'GEGONWS', 'GEGONHS', 'GEGONWS', 'GEGONOIS', 'GEGONOIHS', 'GEGONWS', 'GEGENHSAI', 'GEGENHMENOS', 'GEGENHSO', 'EGEGONEIS', 'EGEGONHS', 'EGEGENHSO', 'GIGNETAI', 'GIGNHTAI', 'GIGNOITO', 'GIGNESQW', 'EGIGNETO', 'GENHSETAI', 'GENHSOITO', 'GENHQHSETAI', 'GENHQHSOITO', 'EGENETO', 'GENHTAI', 'GENOITO', 'GENESQW', 'EGENHQH', 'GENHQHi', 'GENHQEIN', 'GENHQHTW', 'GEGONE', 'GEGONWS', 'GEGONHi', 'GEGONWS', 'GEGONOI', 'GEGONOIN', 'GEGONWS', 'GEGENHTAI', 'GE' ]; $VAR33 = [ 'AN', 'EAN' ];
testsize: 4090


Bayesian Author Test: Posterior Probabilities from Equal Priors, Z-Score-Based Method
$VAR1 = '0.638510088311364'; $VAR2 = '0.361489911688636';

Bayesian Comparison of Best Author to Best Control: from Equal Priors, Z-Score-Based Method
$VAR1 = 1; $VAR2 = '0.565524177173141'; $VAR3 = 31; $VAR4 = '0.434475822826859';

Percentage of Samples in the Best Author Candidate that Meet the P-Value>0.081 Test, Z-Score-Based Method
1
Percentage of Samples outside the Best Author Candidate that Meet the P-Value>0.081 Test, Z-Score-Based Method
0.155080213903743
Posterior Probability of a Sample Meeting the Test Being by the Best Author Candidate (with Prior = 0.5), Not Any Other, Z-Score-Based Method
0.865740740740741

Author Z-Score-Based P-Values
$VAR1 = '0.0810234153931864'; $VAR2 = '0.0458710798957838';
Decent compatibility. Z-Score-Based P-Value > 0.05.
Great indicator. 3.1% of the rest have P-Value > 0.05.

Control Z-Score-Based P-Values
$VAR1 = '4.46822161569082e-35'; $VAR2 = '7.40905984210215e-06'; $VAR3 = '8.07503675553184e-311'; $VAR4 = '3.30127091687053e-304'; $VAR5 = '1.61021024064471e-59'; $VAR6 = '0.000165177782878217'; $VAR7 = '2.20436567467195e-15'; $VAR8 = '5.79300820162328e-27'; $VAR9 = '2.56698707285462e-06'; $VAR10 = '6.10825774878288e-05'; $VAR11 = '1.37507690191751e-05'; $VAR12 = '0.00252437665110788'; $VAR13 = '2.1887296391637e-74'; $VAR14 = '1.31892544802772e-06'; $VAR15 = '1.5737306806783e-15'; $VAR16 = '7.06745679355484e-13'; $VAR17 = '2.20433953450694e-08'; $VAR18 = '0.00164752243579977'; $VAR19 = '4.01464057616772e-06'; $VAR20 = '0.00126610779750803'; $VAR21 = '0.000587187872118417'; $VAR22 = '2.98345529267834e-10'; $VAR23 = '1.248422774689e-05'; $VAR24 = '1.73339231417579e-06'; $VAR25 = '0.0198928711171351'; $VAR26 = '0.0466514039095072'; $VAR27 = '0.00849656435529262'; $VAR28 = '0.0304415933045829'; $VAR29 = '0.000248715450541079'; $VAR30 = '0.016449217919838'; $VAR31 = '0.0622479400388561';
testsize: 3243


Bayesian Author Test: Posterior Probabilities from Equal Priors, Z-Score-Based Method
$VAR1 = '0.578313119445465'; $VAR2 = '0.421686880554535';

Bayesian Comparison of Best Author to Best Control: from Equal Priors, Z-Score-Based Method
$VAR1 = 1; $VAR2 = '0.579903275468118'; $VAR3 = 31; $VAR4 = '0.420096724531882';

Percentage of Samples in the Best Author Candidate that Meet the P-Value>0.09 Test, Z-Score-Based Method
1
Percentage of Samples outside the Best Author Candidate that Meet the P-Value>0.09 Test, Z-Score-Based Method
0.152892561983471
Posterior Probability of a Sample Meeting the Test Being by the Best Author Candidate (with Prior = 0.5), Not Any Other, Z-Score-Based Method
0.867383512544803

Author Z-Score-Based P-Values
$VAR1 = '0.0900935630810086'; $VAR2 = '0.0656932590602527';
Decent compatibility. Z-Score-Based P-Value > 0.05.
Good indicator. 6.2% of the rest have P-Value > 0.05.

Control Z-Score-Based P-Values
$VAR1 = '9.66648614684732e-14'; $VAR2 = '1.12733624675781e-06'; $VAR3 = '1.50296848436272e-08'; $VAR4 = '2.56412913622739e-269'; $VAR5 = '1.9070015477214e-15'; $VAR6 = '0.0019617377624284'; $VAR7 = '1.84436968638398e-10'; $VAR8 = '5.47065096163482e-07'; $VAR9 = '0.000273287554666742'; $VAR10 = '0.0017304308942083'; $VAR11 = '0.00772002373027647'; $VAR12 = '0.0079018982914195'; $VAR13 = '3.57156942422056e-10'; $VAR14 = '0.000737580286262634'; $VAR15 = '1.59816650745023e-06'; $VAR16 = '2.66856064231572e-06'; $VAR17 = '0.00220211040780095'; $VAR18 = '0.0238548336446904'; $VAR19 = '0.000196668393724038'; $VAR20 = '0.00253000519595194'; $VAR21 = '0.0089155272936327'; $VAR22 = '3.42610040194258e-07'; $VAR23 = '0.00370500963280597'; $VAR24 = '9.00111933729977e-05'; $VAR25 = '0.0230774373157977'; $VAR26 = '0.0476959190787193'; $VAR27 = '0.0452236621738025'; $VAR28 = '0.0321883792066198'; $VAR29 = '0.00319866577373003'; $VAR30 = '0.0413564526747394'; $VAR31 = '0.0652660751419036';
testsize: 3207


Bayesian Author Test: Posterior Probabilities from Equal Priors, Z-Score-Based Method
$VAR1 = '0.543819340017391'; $VAR2 = '0.456180659982609';

Bayesian Comparison of Best Author to Best Control: from Equal Priors, Z-Score-Based Method
$VAR1 = 1; $VAR2 = '0.616401382821315'; $VAR3 = 31; $VAR4 = '0.383598617178685';

Percentage of Samples in the Best Author Candidate that Meet the P-Value>0.14 Test, Z-Score-Based Method
0.977777777777778
Percentage of Samples outside the Best Author Candidate that Meet the P-Value>0.14 Test, Z-Score-Based Method
0.0942622950819672
Posterior Probability of a Sample Meeting the Test Being by the Best Author Candidate (with Prior = 0.5), Not Any Other, Z-Score-Based Method
0.91207204145782

Author Z-Score-Based P-Values
$VAR1 = '0.146630891142354'; $VAR2 = '0.123000731627195';
Good compatibility. Z-Score-Based P-Value > 0.1.
Great indicator. 3.1% of the rest have P-Value > 0.1.

Control Z-Score-Based P-Values
$VAR1 = '6.91481733279633e-11'; $VAR2 = '3.24190693963288e-07'; $VAR3 = '8.63011426859194e-09'; $VAR4 = '2.08798446727427e-175'; $VAR5 = '2.73207748443554e-15'; $VAR6 = '0.000862768982411246'; $VAR7 = '1.9335624879211e-10'; $VAR8 = '3.69436211433031e-09'; $VAR9 = '3.83438450899576e-05'; $VAR10 = '0.000989871007193403'; $VAR11 = '0.00498689155927708'; $VAR12 = '0.0241634651266624'; $VAR13 = '8.80888109937933e-12'; $VAR14 = '0.000320487141123677'; $VAR15 = '9.60113218292019e-07'; $VAR16 = '2.76967893203937e-08'; $VAR17 = '0.000757255818263716'; $VAR18 = '0.033900555091615'; $VAR19 = '0.000687025902162696'; $VAR20 = '0.0146903233453319'; $VAR21 = '0.0193823207883658'; $VAR22 = '5.20889747174929e-06'; $VAR23 = '0.00256443941009284'; $VAR24 = '0.000219266649913535'; $VAR25 = '0.0266850386154632'; $VAR26 = '0.0543083476798673'; $VAR27 = '0.0165164474553702'; $VAR28 = '0.0275961902563403'; $VAR29 = '0.00268226681449511'; $VAR30 = '0.0598717117908666'; $VAR31 = '0.0912512668619218';
testsize: 3233


Bayesian Author Test: Posterior Probabilities from Equal Priors, Z-Score-Based Method
$VAR1 = '0.571101488679146'; $VAR2 = '0.428898511320854';

Bayesian Comparison of Best Author to Best Control: from Equal Priors, Z-Score-Based Method
$VAR1 = 1; $VAR2 = '0.518445360610926'; $VAR3 = 26; $VAR4 = '0.481554639389074';

Percentage of Samples in the Best Author Candidate that Meet the P-Value>0.12 Test, Z-Score-Based Method
0.977272727272727
Percentage of Samples outside the Best Author Candidate that Meet the P-Value>0.12 Test, Z-Score-Based Method
0.0987654320987654
Posterior Probability of a Sample Meeting the Test Being by the Best Author Candidate (with Prior = 0.5), Not Any Other, Z-Score-Based Method
0.908213820078227

Author Z-Score-Based P-Values
$VAR1 = '0.121179966445281'; $VAR2 = '0.0910064292259125';
Good compatibility. Z-Score-Based P-Value > 0.1.
Great indicator. 3.1% of the rest have P-Value > 0.1.

Control Z-Score-Based P-Values
$VAR1 = '1.598693525859e-07'; $VAR2 = '1.75395674632205e-05'; $VAR3 = '2.45376154229549e-11'; $VAR4 = '2.27484503159233e-185'; $VAR5 = '2.3004347622702e-16'; $VAR6 = '0.00658072273113019'; $VAR7 = '1.56261888504135e-08'; $VAR8 = '5.84131655389019e-07'; $VAR9 = '0.000271939570217428'; $VAR10 = '0.00181239667332008'; $VAR11 = '0.0039571985027447'; $VAR12 = '0.0185137809150339'; $VAR13 = '6.56838584193666e-08'; $VAR14 = '6.3675205085033e-05'; $VAR15 = '2.9835686320236e-08'; $VAR16 = '6.53346589241644e-08'; $VAR17 = '0.000479274746776177'; $VAR18 = '0.0096858546198099'; $VAR19 = '4.01893836586924e-05'; $VAR20 = '0.00371726576427795'; $VAR21 = '0.00962382299832133'; $VAR22 = '2.87217081848103e-07'; $VAR23 = '0.00137276766130849'; $VAR24 = '0.000556517861007342'; $VAR25 = '0.0332779690776535'; $VAR26 = '0.112557232596263'; $VAR27 = '0.0435552652506761'; $VAR28 = '0.0828971707785962'; $VAR29 = '0.00346603729836383'; $VAR30 = '0.0670711045224621'; $VAR31 = '0.0841452204822217';
testsize: 2732


Bayesian Author Test: Posterior Probabilities from Equal Priors, Z-Score-Based Method
$VAR1 = '0.560493840458834'; $VAR2 = '0.439506159541166';

Bayesian Comparison of Best Author to Best Control: from Equal Priors, Z-Score-Based Method
$VAR1 = 1; $VAR2 = '0.583482152073261'; $VAR3 = 26; $VAR4 = '0.416517847926739';

Percentage of Samples in the Best Author Candidate that Meet the P-Value>0.17 Test, Z-Score-Based Method
0.846153846153846
Percentage of Samples outside the Best Author Candidate that Meet the P-Value>0.17 Test, Z-Score-Based Method
0.0798611111111111
Posterior Probability of a Sample Meeting the Test Being by the Best Author Candidate (with Prior = 0.5), Not Any Other, Z-Score-Based Method
0.913758292471878

Author Z-Score-Based P-Values
$VAR1 = '0.170709533559346'; $VAR2 = '0.133860331864329';
Good compatibility. Z-Score-Based P-Value > 0.15.
Excellent indicator. 0% of the rest have P-Value > 0.15.

Control Z-Score-Based P-Values
$VAR1 = '1.68098647386119e-06'; $VAR2 = '1.74010938312737e-06'; $VAR3 = '4.59352104902751e-14'; $VAR4 = '9.39099372538666e-123'; $VAR5 = '6.62889214306176e-18'; $VAR6 = '0.00854418439553391'; $VAR7 = '4.77882084397587e-09'; $VAR8 = '0.00021492556966377'; $VAR9 = '0.000556084717723853'; $VAR10 = '0.00421200880906881'; $VAR11 = '0.00467125364776301'; $VAR12 = '0.0290170821621059'; $VAR13 = '1.03457328339905e-05'; $VAR14 = '0.000671336056372199'; $VAR15 = '8.38288912766504e-07'; $VAR16 = '1.23569712029376e-07'; $VAR17 = '0.00102731687362132'; $VAR18 = '0.0139247528423938'; $VAR19 = '1.28247596646561e-06'; $VAR20 = '0.00519063146948933'; $VAR21 = '0.0167387353763018'; $VAR22 = '1.93996308205154e-05'; $VAR23 = '0.00353383332209487'; $VAR24 = '0.00090338955458261'; $VAR25 = '0.0587919727997797'; $VAR26 = '0.121860741217306'; $VAR27 = '0.0326559906282941'; $VAR28 = '0.0594369740635448'; $VAR29 = '0.0103897639330154'; $VAR30 = '0.0465073266718898'; $VAR31 = '0.0822913049077675';
testsize: 2665


Bayesian Author Test: Posterior Probabilities from Equal Priors, Z-Score-Based Method
$VAR1 = '0.614303035276614'; $VAR2 = '0.385696964723386';

Bayesian Comparison of Best Author to Best Control: from Equal Priors, Z-Score-Based Method
$VAR1 = 1; $VAR2 = '0.607131000825598'; $VAR3 = 26; $VAR4 = '0.392868999174402';

Percentage of Samples in the Best Author Candidate that Meet the P-Value>0.2 Test, Z-Score-Based Method
0.537037037037037
Percentage of Samples outside the Best Author Candidate that Meet the P-Value>0.2 Test, Z-Score-Based Method
0.0614334470989761
Posterior Probability of a Sample Meeting the Test Being by the Best Author Candidate (with Prior = 0.5), Not Any Other, Z-Score-Based Method
0.897349244904425

Author Z-Score-Based P-Values
$VAR1 = '0.202985334175117'; $VAR2 = '0.12744659032891';
Excellent compatibility. Z-Score-Based P-Value > 0.2.
Excellent indicator. 0% of the rest have P-Value > 0.2.

Control Z-Score-Based P-Values
$VAR1 = '4.91719346386634e-05'; $VAR2 = '5.14003700765433e-05'; $VAR3 = '1.0344529408765e-10'; $VAR4 = '3.94152746877659e-94'; $VAR5 = '1.33910779098724e-27'; $VAR6 = '0.00946663231455605'; $VAR7 = '2.18953395500585e-07'; $VAR8 = '0.000488370555937144'; $VAR9 = '0.00151743562853349'; $VAR10 = '0.00105003730389048'; $VAR11 = '0.00882099457158955'; $VAR12 = '0.0251497275979956'; $VAR13 = '1.86755629207633e-05'; $VAR14 = '0.000505742314681314'; $VAR15 = '1.67924325881161e-07'; $VAR16 = '3.50037339268771e-09'; $VAR17 = '0.000177051778587165'; $VAR18 = '0.0313166996166441'; $VAR19 = '0.000797062144417649'; $VAR20 = '0.00741239730163036'; $VAR21 = '0.0384656641643129'; $VAR22 = '1.62875606987424e-05'; $VAR23 = '0.0110639723409971'; $VAR24 = '0.00203012950049919'; $VAR25 = '0.0345908524910395'; $VAR26 = '0.13134998044247'; $VAR27 = '0.0553024589813939'; $VAR28 = '0.0856851257276705'; $VAR29 = '0.0144534526041993'; $VAR30 = '0.0439464784778024'; $VAR31 = '0.0615242064467783';
testsize: 3861


Bayesian Author Test: Posterior Probabilities from Equal Priors, Z-Score-Based Method
$VAR1 = '0.613650187151375'; $VAR2 = '0.386349812848625';

Bayesian Comparison of Best Author to Best Control: from Equal Priors, Z-Score-Based Method
$VAR1 = 1; $VAR2 = '0.618568778841194'; $VAR3 = 25; $VAR4 = '0.381431221158806';

Percentage of Samples in the Best Author Candidate that Meet the P-Value>0.094 Test, Z-Score-Based Method
1
Percentage of Samples outside the Best Author Candidate that Meet the P-Value>0.094 Test, Z-Score-Based Method
0.146464646464646
Posterior Probability of a Sample Meeting the Test Being by the Best Author Candidate (with Prior = 0.5), Not Any Other, Z-Score-Based Method
0.872246696035242

Author Z-Score-Based P-Values
$VAR1 = '0.0940701144151589'; $VAR2 = '0.0592258779674749';
Decent compatibility. Z-Score-Based P-Value > 0.05.
Good indicator. 9.3% of the rest have P-Value > 0.05.

Control Z-Score-Based P-Values
$VAR1 = '1.39958624982941e-58'; $VAR2 = '1.29548098868527e-07'; $VAR3 = '0'; $VAR4 = '6.7817958607658e-234'; $VAR5 = '9.42718163643593e-41'; $VAR6 = '0.00382733027196562'; $VAR7 = '6.9796379019189e-13'; $VAR8 = '4.91512733410719e-07'; $VAR9 = '1.97828567325653e-05'; $VAR10 = '0.000320330405112671'; $VAR11 = '0.000429987011467704'; $VAR12 = '0.00521982262969163'; $VAR13 = '1.42103743566608e-29'; $VAR14 = '2.06275011546716e-05'; $VAR15 = '3.55124196135309e-09'; $VAR16 = '5.61974408934702e-12'; $VAR17 = '8.23137820949704e-05'; $VAR18 = '0.0138850593851209'; $VAR19 = '3.49204949881611e-07'; $VAR20 = '0.000150422100880125'; $VAR21 = '0.00821927854411863'; $VAR22 = '2.7499890270306e-07'; $VAR23 = '0.00296819958700636'; $VAR24 = '5.58688760426215e-05'; $VAR25 = '0.0580069344643315'; $VAR26 = '0.0482201295362969'; $VAR27 = '0.0217804343730491'; $VAR28 = '0.0230424324001532'; $VAR29 = '0.0016397452754092'; $VAR30 = '0.045979988453576'; $VAR31 = '0.0579619415632038';
testsize: 3930


Bayesian Author Test: Posterior Probabilities from Equal Priors, Z-Score-Based Method
$VAR1 = '0.608900224946653'; $VAR2 = '0.391099775053347';

Bayesian Comparison of Best Author to Best Control: from Equal Priors, Z-Score-Based Method
$VAR1 = 1; $VAR2 = '0.665337792729795'; $VAR3 = 31; $VAR4 = '0.334662207270205';

Percentage of Samples in the Best Author Candidate that Meet the P-Value>0.13 Test, Z-Score-Based Method
1
Percentage of Samples outside the Best Author Candidate that Meet the P-Value>0.13 Test, Z-Score-Based Method
0.0927835051546392
Posterior Probability of a Sample Meeting the Test Being by the Best Author Candidate (with Prior = 0.5), Not Any Other, Z-Score-Based Method
0.915094339622641

Author Z-Score-Based P-Values
$VAR1 = '0.138828001393658'; $VAR2 = '0.0891699458986438';
Good compatibility. Z-Score-Based P-Value > 0.1.
Excellent indicator. 0% of the rest have P-Value > 0.1.

Control Z-Score-Based P-Values
$VAR1 = '1.02848746994139e-24'; $VAR2 = '5.1467346276379e-09'; $VAR3 = '2.28722107800407e-317'; $VAR4 = '1.08762659807259e-203'; $VAR5 = '1.30476139282734e-47'; $VAR6 = '0.00113841351123999'; $VAR7 = '1.69660057741977e-16'; $VAR8 = '9.4344975602096e-07'; $VAR9 = '1.31538929018307e-05'; $VAR10 = '0.000267284752372429'; $VAR11 = '0.000808173539152696'; $VAR12 = '0.0137712261499441'; $VAR13 = '1.25804028506414e-53'; $VAR14 = '1.1816219459261e-05'; $VAR15 = '2.58108085381161e-12'; $VAR16 = '2.33593390929136e-13'; $VAR17 = '4.97821651319341e-08'; $VAR18 = '0.0041253421532002'; $VAR19 = '1.97978663081227e-05'; $VAR20 = '0.00431595789120228'; $VAR21 = '0.00780560403593328'; $VAR22 = '2.10801605185094e-09'; $VAR23 = '0.0040784418694399'; $VAR24 = '6.48882725604351e-06'; $VAR25 = '0.0486360705631476'; $VAR26 = '0.0525172257290878'; $VAR27 = '0.00829563702757009'; $VAR28 = '0.0269422467040439'; $VAR29 = '0.00152006894531767'; $VAR30 = '0.032815324404493'; $VAR31 = '0.0698299208086334';
"... almost every critical biblical position was earlier advanced by skeptics." - Raymond Brown
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Peter Kirby
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Re: Origen -- A Basic Stylometric Study

Post by Peter Kirby »

Peter Kirby wrote:
Stephan Huller wrote:When you said you tested the Commentary on John did you compare the first chapters with the last? I forget where the exact division starts but many people think Cyril of Alexandria is the author when the chapters get into the 20s.
The TLG lists the books in Greek of the Commentary on John as (all or part of): books 1, 2, 4, 5, 6, 10, 13.

All the Greek text in that part of this study comes from those books.

There are some other fragments attributed to 'catena' that haven't yet been reviewed.
It turns out that the TLG divides them into two parts, with the books 19 and up in a separate part.

In order to test this hypothesis, I added the full extant text (minus quotes) of Cyril's Against Julian, to go head-to-head with Origen's Against Celsus (and Eusebius' Preparation of the Gospel), as a possible author of this text.

Here were those results. Cyril is author candidate $VAR3.

In all eight samples, Cyril of Alexandria ranges from 'terrible' to 'really terrible' as an author candidate on stylometric grounds (p-value < 0.01 ... or less).
testsize: 4090


Bayesian Author Test: Posterior Probabilities from Equal Priors, Z-Score-Based Method
$VAR1 = '0.637684368215222'; $VAR2 = '0.362314971203927'; $VAR3 = '6.60580850420386e-07';

Bayesian Comparison of Best Author to Best Control: from Equal Priors, Z-Score-Based Method
$VAR1 = 1; $VAR2 = '0.564639375361503'; $VAR3 = 31; $VAR4 = '0.435360624638497';

Percentage of Samples in the Best Author Candidate that Meet the P-Value>0.0807 Test, Z-Score-Based Method
1
Percentage of Samples outside the Best Author Candidate that Meet the P-Value>0.0807 Test, Z-Score-Based Method
0.146596858638743
Posterior Probability of a Sample Meeting the Test Being by the Best Author Candidate (with Prior = 0.5), Not Any Other, Z-Score-Based Method
0.872146118721461

Author Z-Score-Based P-Values
$VAR1 = '0.0807336532670456'; $VAR2 = '0.045870673199198'; $VAR3 = '8.36324488899657e-08';
Decent compatibility. Z-Score-Based P-Value > 0.05.
Great indicator. 3% of the rest have P-Value > 0.05.

Control Z-Score-Based P-Values
$VAR1 = '7.86997818448826e-36'; $VAR2 = '7.80208202399649e-06'; $VAR3 = '8.46939381673226e-305'; $VAR4 = '6.51187642763906e-293'; $VAR5 = '2.12385599900988e-59'; $VAR6 = '0.00017942263057455'; $VAR7 = '1.55695930660577e-15'; $VAR8 = '7.17416857522969e-27'; $VAR9 = '2.77896590970356e-06'; $VAR10 = '6.1980485547432e-05'; $VAR11 = '1.37365416543517e-05'; $VAR12 = '0.00318054879824743'; $VAR13 = '7.52896468522805e-67'; $VAR14 = '1.31932024126387e-06'; $VAR15 = '2.65164467221678e-15'; $VAR16 = '7.1081476995324e-13'; $VAR17 = '1.88601200476512e-08'; $VAR18 = '0.00162392604969299'; $VAR19 = '3.95892174422836e-06'; $VAR20 = '0.000927428727094385'; $VAR21 = '0.000587161817482283'; $VAR22 = '2.98357040284413e-10'; $VAR23 = '1.24844695806081e-05'; $VAR24 = '1.73336797714685e-06'; $VAR25 = '0.019892831376337'; $VAR26 = '0.0466514214783062'; $VAR27 = '0.00849652093918108'; $VAR28 = '0.0304413308258914'; $VAR29 = '0.000248716411170615'; $VAR30 = '0.0164492325870052'; $VAR31 = '0.0622490305306561';
testsize: 3243


Bayesian Author Test: Posterior Probabilities from Equal Priors, Z-Score-Based Method
$VAR1 = '0.562218983111351'; $VAR2 = '0.429959626578872'; $VAR3 = '0.0078213903097765';

Bayesian Comparison of Best Author to Best Control: from Equal Priors, Z-Score-Based Method
$VAR1 = 1; $VAR2 = '0.567042878111326'; $VAR3 = 31; $VAR4 = '0.432957121888674';

Percentage of Samples in the Best Author Candidate that Meet the P-Value>0.0854 Test, Z-Score-Based Method
1
Percentage of Samples outside the Best Author Candidate that Meet the P-Value>0.0854 Test, Z-Score-Based Method
0.161943319838057
Posterior Probability of a Sample Meeting the Test Being by the Best Author Candidate (with Prior = 0.5), Not Any Other, Z-Score-Based Method
0.860627177700348

Author Z-Score-Based P-Values
$VAR1 = '0.0854786763506289'; $VAR2 = '0.0653702220454794'; $VAR3 = '0.00118914890991669';
Decent compatibility. Z-Score-Based P-Value > 0.05.
Good indicator. 6% of the rest have P-Value > 0.05.

Control Z-Score-Based P-Values
$VAR1 = '7.18032327957758e-13'; $VAR2 = '3.1745084389733e-07'; $VAR3 = '9.2130840512414e-09'; $VAR4 = '0'; $VAR5 = '2.71019344121025e-15'; $VAR6 = '0.00201776766369185'; $VAR7 = '1.61209854773276e-10'; $VAR8 = '5.633545241833e-07'; $VAR9 = '0.000305161585454568'; $VAR10 = '0.00172647855931183'; $VAR11 = '0.00789762219278792'; $VAR12 = '0.00790324936395413'; $VAR13 = '7.24971942534138e-10'; $VAR14 = '0.000736891276584113'; $VAR15 = '2.08936519252e-06'; $VAR16 = '2.668537563768e-06'; $VAR17 = '0.00220210339723112'; $VAR18 = '0.0238548319622625'; $VAR19 = '0.000196670594001762'; $VAR20 = '0.00252999942241451'; $VAR21 = '0.0089155098775531'; $VAR22 = '3.42602969527657e-07'; $VAR23 = '0.00370500619366425'; $VAR24 = '9.00137840210805e-05'; $VAR25 = '0.0230775873877417'; $VAR26 = '0.0476950249342893'; $VAR27 = '0.0452234478725289'; $VAR28 = '0.0321883482841261'; $VAR29 = '0.00319865816793794'; $VAR30 = '0.0413563635451169'; $VAR31 = '0.0652659668681279';
testsize: 3207


Bayesian Author Test: Posterior Probabilities from Equal Priors, Z-Score-Based Method
$VAR1 = '0.529412188495061'; $VAR2 = '0.456370534282975'; $VAR3 = '0.0142172772219639';

Bayesian Comparison of Best Author to Best Control: from Equal Priors, Z-Score-Based Method
$VAR1 = 1; $VAR2 = '0.611726908513627'; $VAR3 = 31; $VAR4 = '0.388273091486373';

Percentage of Samples in the Best Author Candidate that Meet the P-Value>0.14 Test, Z-Score-Based Method
0.977777777777778
Percentage of Samples outside the Best Author Candidate that Meet the P-Value>0.14 Test, Z-Score-Based Method
0.0923694779116466
Posterior Probability of a Sample Meeting the Test Being by the Best Author Candidate (with Prior = 0.5), Not Any Other, Z-Score-Based Method
0.913685263947961

Author Z-Score-Based P-Values
$VAR1 = '0.14376682630959'; $VAR2 = '0.123931682648987'; $VAR3 = '0.00386083446770598';
Good compatibility. Z-Score-Based P-Value > 0.1.
Great indicator. 3% of the rest have P-Value > 0.1.

Control Z-Score-Based P-Values
$VAR1 = '1.23784875332182e-10'; $VAR2 = '2.93733536746665e-07'; $VAR3 = '8.63597602875061e-10'; $VAR4 = '7.66548257054856e-184'; $VAR5 = '4.80002773169492e-15'; $VAR6 = '0.000905369845428328'; $VAR7 = '3.34360806943469e-10'; $VAR8 = '3.420196875354e-09'; $VAR9 = '3.55975807457416e-05'; $VAR10 = '0.000994386887360974'; $VAR11 = '0.00527395965145412'; $VAR12 = '0.0241766266689539'; $VAR13 = '5.63319043866482e-11'; $VAR14 = '0.000320402365989234'; $VAR15 = '9.59920543065504e-07'; $VAR16 = '2.76955326315559e-08'; $VAR17 = '0.000757243511454463'; $VAR18 = '0.033900425647904'; $VAR19 = '0.00068702461759713'; $VAR20 = '0.0146903070418143'; $VAR21 = '0.0193821904119931'; $VAR22 = '5.20847942820879e-06'; $VAR23 = '0.00256446649943659'; $VAR24 = '0.000219269954047989'; $VAR25 = '0.0266854980470159'; $VAR26 = '0.0543082505743194'; $VAR27 = '0.0165164893818386'; $VAR28 = '0.0275961053141526'; $VAR29 = '0.00268226111101918'; $VAR30 = '0.0598717099733209'; $VAR31 = '0.0912511601623711';
testsize: 3233


Bayesian Author Test: Posterior Probabilities from Equal Priors, Z-Score-Based Method
$VAR1 = '0.567728466912033'; $VAR2 = '0.427258611157169'; $VAR3 = '0.00501292193079768';

Bayesian Comparison of Best Author to Best Control: from Equal Priors, Z-Score-Based Method
$VAR1 = 1; $VAR2 = '0.516199101814963'; $VAR3 = 26; $VAR4 = '0.483800898185037';

Percentage of Samples in the Best Author Candidate that Meet the P-Value>0.12 Test, Z-Score-Based Method
0.977272727272727
Percentage of Samples outside the Best Author Candidate that Meet the P-Value>0.12 Test, Z-Score-Based Method
0.0967741935483871
Posterior Probability of a Sample Meeting the Test Being by the Best Author Candidate (with Prior = 0.5), Not Any Other, Z-Score-Based Method
0.909897610921502

Author Z-Score-Based P-Values
$VAR1 = '0.120094662749922'; $VAR2 = '0.0903803170079028'; $VAR3 = '0.00106041039644418';
Good compatibility. Z-Score-Based P-Value > 0.1.
Great indicator. 3% of the rest have P-Value > 0.1.

Control Z-Score-Based P-Values
$VAR1 = '1.63052664671062e-07'; $VAR2 = '1.62828037673621e-05'; $VAR3 = '2.47949974579435e-12'; $VAR4 = '2.93513824258186e-211'; $VAR5 = '7.06379087713985e-16'; $VAR6 = '0.00655170658545608'; $VAR7 = '1.25187333024055e-08'; $VAR8 = '5.92240811960253e-07'; $VAR9 = '0.000261665722422044'; $VAR10 = '0.00177347350485296'; $VAR11 = '0.00391137617006075'; $VAR12 = '0.0186336972574221'; $VAR13 = '6.28558200445727e-08'; $VAR14 = '6.39033292849042e-05'; $VAR15 = '2.92735465959043e-08'; $VAR16 = '6.53352940337544e-08'; $VAR17 = '0.000479296004410888'; $VAR18 = '0.00968587123128578'; $VAR19 = '4.01891830884586e-05'; $VAR20 = '0.00371720657465013'; $VAR21 = '0.00962383840747007'; $VAR22 = '2.87213990421529e-07'; $VAR23 = '0.00137274466182956'; $VAR24 = '0.000556509793263608'; $VAR25 = '0.0332780736571618'; $VAR26 = '0.112557161570708'; $VAR27 = '0.0435552698609606'; $VAR28 = '0.0828971355442539'; $VAR29 = '0.00346604950456905'; $VAR30 = '0.067071199226211'; $VAR31 = '0.0841451217532338';
testsize: 2732


Bayesian Author Test: Posterior Probabilities from Equal Priors, Z-Score-Based Method
$VAR1 = '0.535189769027325'; $VAR2 = '0.444445731707881'; $VAR3 = '0.0203644992647944';

Bayesian Comparison of Best Author to Best Control: from Equal Priors, Z-Score-Based Method
$VAR1 = 1; $VAR2 = '0.572259457907863'; $VAR3 = 26; $VAR4 = '0.427740542092137';

Percentage of Samples in the Best Author Candidate that Meet the P-Value>0.16 Test, Z-Score-Based Method
0.942307692307692
Percentage of Samples outside the Best Author Candidate that Meet the P-Value>0.16 Test, Z-Score-Based Method
0.0816326530612245
Posterior Probability of a Sample Meeting the Test Being by the Best Author Candidate (with Prior = 0.5), Not Any Other, Z-Score-Based Method
0.920275967803756

Author Z-Score-Based P-Values
$VAR1 = '0.163033134360223'; $VAR2 = '0.135390070750137'; $VAR3 = '0.00620357177389611';
Good compatibility. Z-Score-Based P-Value > 0.15.
Excellent indicator. 0% of the rest have P-Value > 0.15.

Control Z-Score-Based P-Values
$VAR1 = '1.33240012370618e-06'; $VAR2 = '2.03173835915508e-06'; $VAR3 = '2.3444492062031e-13'; $VAR4 = '2.95249315354932e-124'; $VAR5 = '1.00274947380963e-27'; $VAR6 = '0.0016380686084533'; $VAR7 = '1.59803655483795e-09'; $VAR8 = '0.000260384133850832'; $VAR9 = '0.00073575622257879'; $VAR10 = '0.00353277954090786'; $VAR11 = '0.00467280808512495'; $VAR12 = '0.0290172519561697'; $VAR13 = '1.03457472128216e-05'; $VAR14 = '0.000671328518451261'; $VAR15 = '8.38300227369973e-07'; $VAR16 = '1.23567531793301e-07'; $VAR17 = '0.00102730524959836'; $VAR18 = '0.0139247813715954'; $VAR19 = '1.28247311763814e-06'; $VAR20 = '0.00519066132122408'; $VAR21 = '0.0167386895606249'; $VAR22 = '1.93913357124485e-05'; $VAR23 = '0.00353377359187515'; $VAR24 = '0.000903387169666104'; $VAR25 = '0.0587918944005218'; $VAR26 = '0.121860600653367'; $VAR27 = '0.0326560991373427'; $VAR28 = '0.0594371541822029'; $VAR29 = '0.0103897495088844'; $VAR30 = '0.0465075008633762'; $VAR31 = '0.0822913017529339';
testsize: 2665


Bayesian Author Test: Posterior Probabilities from Equal Priors, Z-Score-Based Method
$VAR1 = '0.597441050457059'; $VAR2 = '0.377061487312879'; $VAR3 = '0.0254974622300621';

Bayesian Comparison of Best Author to Best Control: from Equal Priors, Z-Score-Based Method
$VAR1 = 1; $VAR2 = '0.603056906473559'; $VAR3 = 26; $VAR4 = '0.396943093526441';

Percentage of Samples in the Best Author Candidate that Meet the P-Value>0.19 Test, Z-Score-Based Method
0.703703703703704
Percentage of Samples outside the Best Author Candidate that Meet the P-Value>0.19 Test, Z-Score-Based Method
0.0668896321070234
Posterior Probability of a Sample Meeting the Test Being by the Best Author Candidate (with Prior = 0.5), Not Any Other, Z-Score-Based Method
0.913197235171194

Author Z-Score-Based P-Values
$VAR1 = '0.199553261382916'; $VAR2 = '0.12594355456093'; $VAR3 = '0.00851649169588205';
Good compatibility. Z-Score-Based P-Value > 0.15.
Excellent indicator. 0% of the rest have P-Value > 0.15.

Control Z-Score-Based P-Values
$VAR1 = '4.11828651402305e-05'; $VAR2 = '7.22013650341559e-05'; $VAR3 = '8.4964928407343e-11'; $VAR4 = '2.07091340065027e-91'; $VAR5 = '6.70922627802978e-25'; $VAR6 = '0.017409959993776'; $VAR7 = '3.19345732287646e-07'; $VAR8 = '0.000623861637909983'; $VAR9 = '0.00230584154742906'; $VAR10 = '0.000748769251644655'; $VAR11 = '0.00865791319069'; $VAR12 = '0.0251495771416294'; $VAR13 = '1.86752985006863e-05'; $VAR14 = '0.0005057405187499'; $VAR15 = '1.67920246796016e-07'; $VAR16 = '3.50039868911132e-09'; $VAR17 = '0.000177042628231168'; $VAR18 = '0.0313161457873188'; $VAR19 = '0.000797068773361543'; $VAR20 = '0.00741234328988026'; $VAR21 = '0.0384665589244256'; $VAR22 = '1.62884172390911e-05'; $VAR23 = '0.0110639703645468'; $VAR24 = '0.00203012800015963'; $VAR25 = '0.0345908098369464'; $VAR26 = '0.131349609044065'; $VAR27 = '0.0553025006416546'; $VAR28 = '0.0856851121627082'; $VAR29 = '0.0144533417174412'; $VAR30 = '0.0439464560250975'; $VAR31 = '0.0615240263855254';
testsize: 3861


Bayesian Author Test: Posterior Probabilities from Equal Priors, Z-Score-Based Method
$VAR1 = '0.60977444957536'; $VAR2 = '0.390221812767105'; $VAR3 = '3.73765753520205e-06';

Bayesian Comparison of Best Author to Best Control: from Equal Priors, Z-Score-Based Method
$VAR1 = 1; $VAR2 = '0.617180461700891'; $VAR3 = 25; $VAR4 = '0.382819538299109';

Percentage of Samples in the Best Author Candidate that Meet the P-Value>0.0935 Test, Z-Score-Based Method
1
Percentage of Samples outside the Best Author Candidate that Meet the P-Value>0.0935 Test, Z-Score-Based Method
0.143564356435644
Posterior Probability of a Sample Meeting the Test Being by the Best Author Candidate (with Prior = 0.5), Not Any Other, Z-Score-Based Method
0.874458874458874

Author Z-Score-Based P-Values
$VAR1 = '0.0935190837768781'; $VAR2 = '0.0598470244614966'; $VAR3 = '5.73232132647175e-07';
Decent compatibility. Z-Score-Based P-Value > 0.05.
Good indicator. 9% of the rest have P-Value > 0.05.

Control Z-Score-Based P-Values
$VAR1 = '2.52422625486752e-56'; $VAR2 = '1.66091830295025e-07'; $VAR3 = '0'; $VAR4 = '1.55196636860134e-230'; $VAR5 = '9.70569050723171e-42'; $VAR6 = '0.00357843490372574'; $VAR7 = '8.74158404128935e-13'; $VAR8 = '3.59791725423365e-07'; $VAR9 = '1.97446808992368e-05'; $VAR10 = '0.000318009964859712'; $VAR11 = '0.000431977472336941'; $VAR12 = '0.00521982135902438'; $VAR13 = '5.59890889778398e-30'; $VAR14 = '2.05925461645244e-05'; $VAR15 = '4.139558534815e-09'; $VAR16 = '6.07668056582936e-12'; $VAR17 = '7.93035766628791e-05'; $VAR18 = '0.0122100549375906'; $VAR19 = '3.18330736000286e-07'; $VAR20 = '0.00015041630577264'; $VAR21 = '0.00821913901432596'; $VAR22 = '2.750322208216e-07'; $VAR23 = '0.00296824771226979'; $VAR24 = '5.58691981983322e-05'; $VAR25 = '0.0580072356389185'; $VAR26 = '0.0482201119959647'; $VAR27 = '0.0217804287101458'; $VAR28 = '0.0230424526108181'; $VAR29 = '0.00163975416513371'; $VAR30 = '0.0459788032234337'; $VAR31 = '0.0579619439366903';
testsize: 3930


Bayesian Author Test: Posterior Probabilities from Equal Priors, Z-Score-Based Method
$VAR1 = '0.616136934528851'; $VAR2 = '0.382010809090246'; $VAR3 = '0.00185225638090271';

Bayesian Comparison of Best Author to Best Control: from Equal Priors, Z-Score-Based Method
$VAR1 = 1; $VAR2 = '0.665440032748239'; $VAR3 = 31; $VAR4 = '0.334559967251761';

Percentage of Samples in the Best Author Candidate that Meet the P-Value>0.13 Test, Z-Score-Based Method
1
Percentage of Samples outside the Best Author Candidate that Meet the P-Value>0.13 Test, Z-Score-Based Method
0.0909090909090909
Posterior Probability of a Sample Meeting the Test Being by the Best Author Candidate (with Prior = 0.5), Not Any Other, Z-Score-Based Method
0.916666666666667

Author Z-Score-Based P-Values
$VAR1 = '0.138891077752399'; $VAR2 = '0.0861138003813759'; $VAR3 = '0.00041754011259536';
Good compatibility. Z-Score-Based P-Value > 0.1.
Excellent indicator. 0% of the rest have P-Value > 0.1.

Control Z-Score-Based P-Values
$VAR1 = '5.20381623194055e-26'; $VAR2 = '3.56142036537509e-09'; $VAR3 = '2.93172386441538e-305'; $VAR4 = '1.72018640068119e-198'; $VAR5 = '8.8064129805374e-48'; $VAR6 = '0.00109282224627318'; $VAR7 = '1.93125783222155e-16'; $VAR8 = '9.43485126084412e-07'; $VAR9 = '1.59542287727014e-05'; $VAR10 = '0.000268663714242469'; $VAR11 = '0.000851470298244501'; $VAR12 = '0.0138117041524039'; $VAR13 = '7.47843165136901e-52'; $VAR14 = '1.17951842182357e-05'; $VAR15 = '2.42304962144338e-12'; $VAR16 = '1.77619338020176e-13'; $VAR17 = '4.93468736980259e-08'; $VAR18 = '0.00412324937283144'; $VAR19 = '1.98232990628051e-05'; $VAR20 = '0.00431416827966967'; $VAR21 = '0.00780562355170781'; $VAR22 = '2.10784043246981e-09'; $VAR23 = '0.00407842352067233'; $VAR24 = '6.48891629295632e-06'; $VAR25 = '0.04863599358478'; $VAR26 = '0.0525172073616385'; $VAR27 = '0.00829564741629563'; $VAR28 = '0.0269422094664887'; $VAR29 = '0.00152007077509955'; $VAR30 = '0.0328151611305086'; $VAR31 = '0.0698295746237211';
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Re: Origen -- A Basic Stylometric Study

Post by Peter Kirby »

There are extant some 'Fragmenta in evangelium Joannis (in catenis)'. Once quotations are removed, it is 1610 words long. It may be too short in length to expect a reliable result. It is also an amalgam of several different authors making citations. And there may be some errors in discerning where the direct quotations actually are. In any case, it seems slightly closer to Origen than to Eusebius, yet slightly closer still to one of the controls, if it matters.
testsize: 1610


Bayesian Author Test: Posterior Probabilities from Equal Priors, Z-Score-Based Method
$VAR1 = '0.514539609814312'; $VAR2 = '0.485460390185688';

Bayesian Comparison of Best Author to Best Control: from Equal Priors, Z-Score-Based Method
$VAR1 = 1; $VAR2 = '0.461665236484408'; $VAR3 = 27; $VAR4 = '0.538334763515592';

Percentage of Samples in the Best Author Candidate that Meet the P-Value>0.15 Test, Z-Score-Based Method
0.955056179775281
Percentage of Samples outside the Best Author Candidate that Meet the P-Value>0.15 Test, Z-Score-Based Method
0.115768463073852
Posterior Probability of a Sample Meeting the Test Being by the Best Author Candidate (with Prior = 0.5), Not Any Other, Z-Score-Based Method
0.89188849561229

Author Z-Score-Based P-Values
$VAR1 = '0.151803064623931'; $VAR2 = '0.143223910420253';
Good compatibility. Z-Score-Based P-Value > 0.15.
Good indicator. 6.2% of the rest have P-Value > 0.15.

Control Z-Score-Based P-Values
$VAR1 = '0.00306478252748679'; $VAR2 = '0.0181081274189888'; $VAR3 = '0.0167496446196095'; $VAR4 = '0.0299618920517701'; $VAR5 = '0.000271530497130491'; $VAR6 = '0.0450980987997181'; $VAR7 = '0.000672895589745432'; $VAR8 = '0.00554496489184359'; $VAR9 = '0.00444309929657639'; $VAR10 = '0.0105931259052865'; $VAR11 = '0.0257262642895839'; $VAR12 = '0.0745020569602093'; $VAR13 = '0.00111520162873897'; $VAR14 = '0.0148903509518405'; $VAR15 = '0.00080860292201265'; $VAR16 = '0.0024276560403414'; $VAR17 = '0.0263559183837599'; $VAR18 = '0.0459635706070171'; $VAR19 = '0.0484148532513913'; $VAR20 = '0.0379509631335067'; $VAR21 = '0.0700603272480659'; $VAR22 = '0.00298140440200633'; $VAR23 = '0.0214752379160041'; $VAR24 = '0.0303879137354138'; $VAR25 = '0.127199627394879'; $VAR26 = '0.13960482222394'; $VAR27 = '0.17701325644004'; $VAR28 = '0.161244787121011'; $VAR29 = '0.045384637620008'; $VAR30 = '0.147277467044566'; $VAR31 = '0.143840797580578';


33 Words
$VAR1 = [ 'O', 'OI', 'H', 'AI', 'TO', 'TA' ]; $VAR2 = [ 'TOU', 'TWN', 'THS' ]; $VAR3 = [ 'TWi', 'TOIS', 'THi', 'TAIS' ]; $VAR4 = [ 'TON', 'TOUS', 'THN', 'TAS', 'TO', 'TA' ]; $VAR5 = [ 'AUTOS', 'AUTOU', 'AUTWi', 'AUTON', 'AUTOI', 'AUTWN', 'AUTOIS', 'AUTOUS', 'AUTH', 'AUTHS', 'AUTHi', 'AUTHN', 'AUTAI', 'AUTWN', 'AUTAIS', 'AUTAS', 'AUTO', 'AUTA' ]; $VAR6 = [ 'OUTOS', 'TOUTOU', 'TOUTWi', 'TOUTON', 'AUTOI', 'TOUTWN', 'TOUTOIS', 'TOUTOUS', 'AUTH', 'TAUTHS', 'TAUTHi', 'TAUTHN', 'AUTAI', 'TAUTAIS', 'TAUTAS', 'TOUTO', 'TOUTO', 'TAUTA' ]; $VAR7 = [ 'ODE', 'TOUDE', 'TWiDE', 'TONDE', 'OIDE', 'TWNDE', 'TOISDE', 'TOUSDE', 'HDE', 'THSDE', 'THiDE', 'THNDE', 'AIDE', 'TWNDE', 'TAISDE', 'TASDE', 'TODE', 'TOUDE', 'TODE', 'TADE' ]; $VAR8 = [ 'EKEINOS', 'EKEINOU', 'EKEINWi', 'EKEINON', 'EKEINOI', 'EKEINWN', 'EKEINOIS', 'EKEINOUS', 'EKEINH', 'EKEINHS', 'EKEINHi', 'EKEINHN', 'EKEINAI', 'EKEINAIS', 'EKEINAS', 'EKEINO', 'EKEINOU', 'EKEINWi', 'EKEINO', 'EKEINA', 'EKEINWN', 'EKEINOIS', 'EKEINA' ]; $VAR9 = [ 'DH' ]; $VAR10 = [ 'EIMI', 'EI', 'ESTI', 'ESTIN', 'ESMEN', 'ESTE', 'EISI', 'EISIN', 'HN', 'HSQA', 'HN', 'HMEN', 'HTE', 'HSAN', 'ESOMAI', 'ESHi', 'ESEI', 'ESTAI', 'ESOMEQA', 'ESESQE', 'ESONTAI', 'W', 'HiS', 'Hi', 'WMEN', 'HTE', 'WSI', 'EIHN', 'EIHS', 'EIH', 'EIHMEN', 'EIMEN', 'EIHTE', 'EITE', 'EIHSAN', 'EIEN', 'ESOIMHN', 'ESOIO', 'ESOITO', 'ESOIMEQA', 'ESOISQE', 'ESOINTO', 'ISQI', 'ESTW', 'ESTE', 'ESTWN', 'ONTWN', 'ESTWSAN', 'EINAI', 'ESESQAI', 'WN', 'OUSA', 'ON', 'ESOMENOS', 'ESOMENH', 'ESOMENON' ]; $VAR11 = [ 'LEGW', 'LEGEIS', 'LEGEI', 'LEGETON', 'LEGETON', 'LEGOMEN', 'LEGETE', 'LEGOUSI', 'LEGOUSIN', 'LEGW', 'LEGHiS', 'LEGHi', 'LEGHTON', 'LEGHTON', 'LEGWMEN', 'LEGHTE', 'LEGWSI', 'LEGWSIN', 'LEGOIMI', 'LEGOIS', 'LEGOI', 'LEGOITON', 'LEGOITHN', 'LEGOIMEN', 'LEGOITE', 'LEGOIEN', 'LEGE', 'LEGETW', 'LEGETON', 'LEGETWN', 'LEGETE', 'LEGONTWN', 'LEGOMAI', 'LEGEI', 'LEGHi', 'LEGETAI', 'LEGESQON', 'LEGESQON', 'LEGOMEQA', 'LEGESQE', 'LEGONTAI', 'LEGWMAI', 'LEGHi', 'LEGHTAI', 'LEGHSQON', 'LEGHSQON', 'LEGWMEQA', 'LEGHSQE', 'LEGWNTAI', 'LEGOIMHN', 'LEGOIO', 'LEGOITO', 'LEGOISQON', 'LEGOISQHN', 'LEGOIMEQA', 'LEGOISQE', 'LEGOINTO', 'LEGOU', 'LEGESQW', 'LEGESQON', 'LEGESQWN', 'LEGESQE', 'LEGESQWN', 'LEGEIN', 'LEGESQAI', 'LEGWN', 'LEGOUSA', 'LEGON', 'LEGOMENOS', 'LEGOMENH', 'LEGOMENON', 'ELEGON', 'ELEGOMHN', 'ELEGON', 'ELEGES', 'ELEGE', 'ELEGETON', 'ELEGETHN', 'ELEGOMEN', 'ELEGETE', 'ELEGON', 'ELEGOU', 'ELEGETO', 'ELEGESQON', 'ELEGESQHN', 'ELEGOMEQA', 'ELEGESQE', 'ELEGONTO', 'LECW', 'LECOMAI', 'LEXQHSOMAI', 'LECW', 'LECEIS', 'LECEI', 'LECETON', 'LECETON', 'LECOMEN', 'LECETE', 'LECOUSI', 'LECOUSIN', 'LECOIMI' ]; $VAR12 = [ 'KAI', 'KA' ]; $VAR13 = [ 'TE', 'T' ]; $VAR14 = [ 'OUTE', 'OUT', 'OUQ', 'EITE', 'EIT', 'EIQ', 'MHTE', 'MHT', 'MHQ' ]; $VAR15 = [ 'DE', 'D' ]; $VAR16 = [ 'MH' ]; $VAR17 = [ 'META', 'MET', 'MEQ', 'ME', 'M' ]; $VAR18 = [ 'MEN' ]; $VAR19 = [ 'ALLA', 'ALL' ]; $VAR20 = [ 'GAR' ]; $VAR21 = [ 'EIS' ]; $VAR22 = [ 'EPI', 'EP' ]; $VAR23 = [ 'DIA', 'DI' ]; $VAR24 = [ 'EK', 'EC' ]; $VAR25 = [ 'KATA', 'KAT', 'KAQ' ]; $VAR26 = [ 'OUDE', 'OUD', 'MHDE', 'MHD' ]; $VAR27 = [ 'OUN' ]; $VAR28 = [ 'EPEI' ]; $VAR29 = [ 'OTI', 'OT', 'OQ' ]; $VAR30 = [ 'OUN' ]; $VAR31 = [ 'PERI' ]; $VAR32 = [ 'GIGNOMAI', 'GIGNWMAI', 'GIGNOIMHN', 'GIGESQAI', 'EGIGNOMHN', 'GENHSOMAI', 'GENHSOIMEHN', 'GENHQHSOMAI', 'GENHQHSOIMHN', 'GENHSESQAI', 'GENHSOMENOS', 'GENHSOMENH', 'GENHSOMENON', 'GEGONA', 'GEGONWS', 'GEGONW', 'GEGONWS', 'GEGONW', 'GEGONWS', 'GEGONOIMI', 'GEGONOIHN', 'GEGENHMAI', 'GEGENHMAI', 'GEGENHMENOS', 'GEGONENAI', 'GEGONWS', 'GEGONUIA', 'GEGONOS', 'EGEGONEIN', 'EGEGONH', 'EGEGENHMHN', 'GIGNEI', 'GIGNHi', 'GIGNOIO', 'GIGNOU', 'EGIGNOU', 'GENHSEI', 'GENHSHi', 'GENHSOIO', 'GENHQHSEI', 'GENHQHSHi', 'GENHQHSOIO', 'EGENOU', 'GENHi', 'GENOIO', 'GENOU', 'EGENHQHS', 'GENHQHiS', 'GENHQEIHS', 'GENHQHTI', 'GEGONAS', 'GEGONWS', 'GEGONHS', 'GEGONWS', 'GEGONOIS', 'GEGONOIHS', 'GEGONWS', 'GEGENHSAI', 'GEGENHMENOS', 'GEGENHSO', 'EGEGONEIS', 'EGEGONHS', 'EGEGENHSO', 'GIGNETAI', 'GIGNHTAI', 'GIGNOITO', 'GIGNESQW', 'EGIGNETO', 'GENHSETAI', 'GENHSOITO', 'GENHQHSETAI', 'GENHQHSOITO', 'EGENETO', 'GENHTAI', 'GENOITO', 'GENESQW', 'EGENHQH', 'GENHQHi', 'GENHQEIN', 'GENHQHTW', 'GEGONE', 'GEGONWS', 'GEGONHi', 'GEGONWS', 'GEGONOI', 'GEGONOIN', 'GEGONWS', 'GEGENHTAI', 'GE' ]; $VAR33 = [ 'AN', 'EAN' ];

$VAR1 = 123; $VAR2 = 77; $VAR3 = 26; $VAR4 = 95; $VAR5 = 36; $VAR6 = 12; $VAR7 = 0; $VAR8 = 0; $VAR9 = 2; $VAR10 = 78; $VAR11 = 8; $VAR12 = 91; $VAR13 = 2; $VAR14 = 0; $VAR15 = 24; $VAR16 = 9; $VAR17 = 5; $VAR18 = 5; $VAR19 = 12; $VAR20 = 19; $VAR21 = 10; $VAR22 = 12; $VAR23 = 9; $VAR24 = 8; $VAR25 = 11; $VAR26 = 7; $VAR27 = 1; $VAR28 = 0; $VAR29 = 13; $VAR30 = 1; $VAR31 = 8; $VAR32 = 3; $VAR33 = 5;
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Re: Origen -- A Basic Stylometric Study

Post by MrMacSon »

Peter Kirby wrote:After quotations are removed, the extant letter of Origen to Africanus ('Epistula ad Africanum') is 3146 words long. The same list of 33 words is used. 'Origen' is represented by the text of the Contra Celsum. Origen is selected as the best candidate out of 33 candidates, including the controls.
"Origen is selected as the best candidate out of 33 candidates" as author of Epistula ad Africanum?
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Re: Origen -- A Basic Stylometric Study

Post by MrMacSon »

Peter Kirby wrote:There are extant some 'Fragmenta in evangelium Joannis (in catenis)'. Once quotations are removed, it is 1610 words long. It may be too short in length to expect a reliable result. It is also an amalgam of several different authors making citations. And there may be some errors in discerning where the direct quotations actually are. In any case, it seems slightly closer to Origen than to Eusebius, yet slightly closer still to one of the controls, if it matters.
Could both and/or Pamphilus have contributed to it?
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Re: Origen -- A Basic Stylometric Study

Post by Peter Kirby »

MrMacSon wrote:
Peter Kirby wrote:After quotations are removed, the extant letter of Origen to Africanus ('Epistula ad Africanum') is 3146 words long. The same list of 33 words is used. 'Origen' is represented by the text of the Contra Celsum. Origen is selected as the best candidate out of 33 candidates, including the controls.
"Origen is selected as the best candidate out of 33 candidates" as author of Epistula ad Africanum?
Yes. It's a letter from Origen to Africanus.
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Re: Origen -- A Basic Stylometric Study

Post by Peter Kirby »

MrMacSon wrote:
Peter Kirby wrote:There are extant some 'Fragmenta in evangelium Joannis (in catenis)'. Once quotations are removed, it is 1610 words long. It may be too short in length to expect a reliable result. It is also an amalgam of several different authors making citations. And there may be some errors in discerning where the direct quotations actually are. In any case, it seems slightly closer to Origen than to Eusebius, yet slightly closer still to one of the controls, if it matters.
Could both and/or Pamphilus have contributed to it?
Keep in mind that this is not a text. This is an amalgam of several different references, most of them made after Eusebius, to the "Commentary on John". The Commentary on John is by Origen (on stylometric grounds and any other grounds).

On non-stylometric grounds, the most likely hypothesis is that these are mostly/entirely actual references to the actual commentary on John by Origen... yet they might have been polluted somehow, with the most obvious reason being that indirect speech or something might have been caught when I was making excerpts... or, perhaps, that quotations/references made by secondary parties do not preserve the kind of natural language data we need in a bias-free way (introducing a type of 'selection' bias, either by choosing certain parts to quote or not quote, or by omitting certain parts of the quote or rewording them slightly). And, of course, the shorter the text, the less able we are to make any meaningful stylometric decision.

In short, move along folks nothing to see here. :arrow:

(Of course you can believe whatever you choose to believe. But it would have nothing to do with the stylometry...)
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Re: Origen -- A Basic Stylometric Study

Post by MrMacSon »

MrMacSon wrote:"Origen is selected as the best candidate out of 33 candidates" as author of Epistula ad Africanum?
Peter Kirby wrote:Yes. It's a letter from Origen to Africanus.
Cheers PK.
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Re: Origen -- A Basic Stylometric Study

Post by Peter Kirby »

Clement of Alexandria has been moved from 'control' to 'author candidate' (control #31 takes the place that Clement had as control #25 and becomes author candidate #3), and Cyril of Alexandria has been added as an author candidate (#4). Clement of Alexandria is represented by his 'trilogy' (Protrepticus, Paedagogus, and Stromata--without quotations). Cyril of Alexandria is represented by 'Against Julian' and his 'Commentary on John' (without quotations).

The controls now are: #1 Mark, #2 John, #3 1 Corinthians, #4 Hebrews, #5 Revelation, #6 Letter of Aristeas, #7 1 Maccabees, #8 2 Maccabees, #9 Polybius, #10 Diodorus Siculus, #11 Dionysius Halicarnassus, #12 Strabo, #13 Plutarch, #14 Arrian, #15 Herodian, #16 Herodotus, #17 Thucydides, #18 Xenophon, #19 Epictetus, #20 Galen, #21 Lucian, #22 Philostratus, #23 Josephus, #24 Acts, #25 Gregory Nyssenus, #26 Justin Martyr, #27 Theophilus of Antioch, #28 Athanasius, #29 John Chrysostom, and #30 Basil.

Four samples are taken from the text 'Fragmenta in Lamentationes (in catenis)', each approximately 2000 words long. This appears to have a continuous source, which is some 'catena'. The quotations were removed first. Among the four author candidates, 'Origen' is picked as the most likely for the first sample, while 'Clement of Alexandria' is picked as the most likely for the other three samples. This is sufficient to reject the (null) hypothesis that Origen may have authored the entire thing. One possibility is that this was written by Clement of Alexandria. Another possibility is that a text written by Clement of Alexandria was extensively used and adapted by Origen.
testsize: 2169


Bayesian Author Test: Posterior Probabilities from Equal Priors, Z-Score-Based Method
$VAR1 = '0.285461464856027'; $VAR2 = '0.244121637639395'; $VAR3 = '0.222206850464155'; $VAR4 = '0.248210047040423';

Bayesian Comparison of Best Author to Best Control: from Equal Priors, Z-Score-Based Method
$VAR1 = 1; $VAR2 = '0.534918926258586'; $VAR3 = 25; $VAR4 = '0.465081073741414';

Percentage of Samples in the Best Author Candidate that Meet the P-Value>0.15 Test, Z-Score-Based Method
0.954545454545455
Percentage of Samples outside the Best Author Candidate that Meet the P-Value>0.15 Test, Z-Score-Based Method
0.0898876404494382
Posterior Probability of a Sample Meeting the Test Being by the Best Author Candidate (with Prior = 0.5), Not Any Other, Z-Score-Based Method
0.913936430317848

Author Z-Score-Based P-Values
$VAR1 = '0.154962094613008'; $VAR2 = '0.132520865217439'; $VAR3 = '0.120624473788964'; $VAR4 = '0.13474024878551';
Good compatibility. Z-Score-Based P-Value > 0.15.
Excellent indicator. 0% of the rest have P-Value > 0.15.

Control Z-Score-Based P-Values
$VAR1 = '1.87359452003888e-05'; $VAR2 = '0.000635978203455883'; $VAR3 = '8.77723585973002e-07'; $VAR4 = '1.30181881403057e-06'; $VAR5 = '9.03412111409124e-09'; $VAR6 = '0.0439127117525469'; $VAR7 = '2.25325750042114e-05'; $VAR8 = '0.00967803626714256'; $VAR9 = '0.0345036058351176'; $VAR10 = '0.0206198157243039'; $VAR11 = '0.0437781922248889'; $VAR12 = '0.0602336821305782'; $VAR13 = '0.00702923109669583'; $VAR14 = '0.02555092841029'; $VAR15 = '0.00160322600892836'; $VAR16 = '0.000121129440681501'; $VAR17 = '0.0111186358832302'; $VAR18 = '0.0640073317030285'; $VAR19 = '0.00969669652467625'; $VAR20 = '0.0411204279325953'; $VAR21 = '0.0655158117664118'; $VAR22 = '0.00204135612322522'; $VAR23 = '0.0663759759357266'; $VAR24 = '0.0169129183387329'; $VAR25 = '0.134730580306663'; $VAR26 = '0.115570143158592'; $VAR27 = '0.0649231020456872'; $VAR28 = '0.0554797080326668'; $VAR29 = '0.0339515136235549'; $VAR30 = '0.101851760336956';
testsize: 2230


Bayesian Author Test: Posterior Probabilities from Equal Priors, Z-Score-Based Method
$VAR1 = '0.24123219021202'; $VAR2 = '0.186098980726246'; $VAR3 = '0.321240506127464'; $VAR4 = '0.251428322934269';

Bayesian Comparison of Best Author to Best Control: from Equal Priors, Z-Score-Based Method
$VAR1 = 3; $VAR2 = '0.604922488931356'; $VAR3 = 27; $VAR4 = '0.395077511068644';

Percentage of Samples in the Best Author Candidate that Meet the P-Value>0.17 Test, Z-Score-Based Method
0.896551724137931
Percentage of Samples outside the Best Author Candidate that Meet the P-Value>0.17 Test, Z-Score-Based Method
0.0481651376146789
Posterior Probability of a Sample Meeting the Test Being by the Best Author Candidate (with Prior = 0.5), Not Any Other, Z-Score-Based Method
0.949016324822101

Author Z-Score-Based P-Values
$VAR1 = '0.12854957721977'; $VAR2 = '0.0991697885442365'; $VAR3 = '0.171184994889181'; $VAR4 = '0.133982967139954';
Good compatibility. Z-Score-Based P-Value > 0.15.
Excellent indicator. 0% of the rest have P-Value > 0.15.

Control Z-Score-Based P-Values
$VAR1 = '1.57592969084606e-06'; $VAR2 = '7.24898258393393e-06'; $VAR3 = '1.83046611222463e-07'; $VAR4 = '1.66287902644327e-09'; $VAR5 = '1.21127919564686e-12'; $VAR6 = '0.065439246980568'; $VAR7 = '3.29184668455983e-07'; $VAR8 = '0.00975495876255222'; $VAR9 = '0.0193775500803025'; $VAR10 = '0.0238224704407606'; $VAR11 = '0.0380083815820488'; $VAR12 = '0.0815979354511362'; $VAR13 = '9.78526653966598e-05'; $VAR14 = '0.00253033659272616'; $VAR15 = '8.83042653832995e-07'; $VAR16 = '1.26871439593246e-05'; $VAR17 = '0.00161486547860484'; $VAR18 = '0.0361683605055023'; $VAR19 = '0.002550277770974'; $VAR20 = '0.0306739014128651'; $VAR21 = '0.0467331879448594'; $VAR22 = '0.000233737746151855'; $VAR23 = '0.0376058380450597'; $VAR24 = '0.00601782239890018'; $VAR25 = '0.0920832845567929'; $VAR26 = '0.0633742133448649'; $VAR27 = '0.111801665420957'; $VAR28 = '0.0686328555664938'; $VAR29 = '0.0185414467808749'; $VAR30 = '0.0997213012827065';
testsize: 2213


Bayesian Author Test: Posterior Probabilities from Equal Priors, Z-Score-Based Method
$VAR1 = '0.190279080508643'; $VAR2 = '0.159858416293458'; $VAR3 = '0.422196365644346'; $VAR4 = '0.227666137553552';

Bayesian Comparison of Best Author to Best Control: from Equal Priors, Z-Score-Based Method
$VAR1 = 3; $VAR2 = '0.558038829775612'; $VAR3 = 27; $VAR4 = '0.441961170224388';

Percentage of Samples in the Best Author Candidate that Meet the P-Value>0.17 Test, Z-Score-Based Method
0.88135593220339
Percentage of Samples outside the Best Author Candidate that Meet the P-Value>0.17 Test, Z-Score-Based Method
0.0474040632054176
Posterior Probability of a Sample Meeting the Test Being by the Best Author Candidate (with Prior = 0.5), Not Any Other, Z-Score-Based Method
0.948959835221421

Author Z-Score-Based P-Values
$VAR1 = '0.079001561240616'; $VAR2 = '0.0663712712447223'; $VAR3 = '0.175290798898423'; $VAR4 = '0.0945242128576215';
Good compatibility. Z-Score-Based P-Value > 0.15.
Excellent indicator. 0% of the rest have P-Value > 0.15.

Control Z-Score-Based P-Values
$VAR1 = '2.63430183775349e-06'; $VAR2 = '2.74926947538969e-05'; $VAR3 = '8.44997798022125e-07'; $VAR4 = '4.1641288252214e-10'; $VAR5 = '3.79437324479821e-12'; $VAR6 = '0.0974846145434014'; $VAR7 = '6.89658798189447e-07'; $VAR8 = '0.00138905598806918'; $VAR9 = '0.00264365559438614'; $VAR10 = '0.013808348851001'; $VAR11 = '0.0130289012628629'; $VAR12 = '0.0858103616495012'; $VAR13 = '0.00146195520880177'; $VAR14 = '0.00273397353690818'; $VAR15 = '0.00059808682988545'; $VAR16 = '5.39392849709924e-05'; $VAR17 = '0.0176390987483739'; $VAR18 = '0.0201075567012839'; $VAR19 = '0.00665321685678319'; $VAR20 = '0.0346934764641107'; $VAR21 = '0.0690085159054928'; $VAR22 = '0.00673526858281985'; $VAR23 = '0.00531001029306792'; $VAR24 = '0.0118474180307116'; $VAR25 = '0.0867468748534773'; $VAR26 = '0.0600992141518908'; $VAR27 = '0.138828559012401'; $VAR28 = '0.0546674757882025'; $VAR29 = '0.0227981866229604'; $VAR30 = '0.0616250306511459';
testsize: 2246


Bayesian Author Test: Posterior Probabilities from Equal Priors, Z-Score-Based Method
$VAR1 = '0.230203763991627'; $VAR2 = '0.183195109415103'; $VAR3 = '0.336730652605696'; $VAR4 = '0.249870473987573';

Bayesian Comparison of Best Author to Best Control: from Equal Priors, Z-Score-Based Method
$VAR1 = 3; $VAR2 = '0.59923761372751'; $VAR3 = 25; $VAR4 = '0.40076238627249';

Percentage of Samples in the Best Author Candidate that Meet the P-Value>0.14 Test, Z-Score-Based Method
0.948275862068966
Percentage of Samples outside the Best Author Candidate that Meet the P-Value>0.14 Test, Z-Score-Based Method
0.137931034482759
Posterior Probability of a Sample Meeting the Test Being by the Best Author Candidate (with Prior = 0.5), Not Any Other, Z-Score-Based Method
0.873015873015873

Author Z-Score-Based P-Values
$VAR1 = '0.098102701638831'; $VAR2 = '0.0780696842180935'; $VAR3 = '0.143499768085577'; $VAR4 = '0.106483786941241';
Good compatibility. Z-Score-Based P-Value > 0.1.
Great indicator. 3% of the rest have P-Value > 0.1.

Control Z-Score-Based P-Values
$VAR1 = '1.35887433036485e-06'; $VAR2 = '1.80509434075333e-05'; $VAR3 = '2.51798410111008e-05'; $VAR4 = '1.73582552547221e-09'; $VAR5 = '1.26804618874312e-16'; $VAR6 = '0.0791047851709729'; $VAR7 = '1.05443586049242e-06'; $VAR8 = '0.00429796288990328'; $VAR9 = '0.0116835499229522'; $VAR10 = '0.0141296968182985'; $VAR11 = '0.0218860573911011'; $VAR12 = '0.0680643977018758'; $VAR13 = '0.000105666729163776'; $VAR14 = '0.000557329931388874'; $VAR15 = '4.47099881309172e-05'; $VAR16 = '8.56661402255678e-05'; $VAR17 = '0.00908487970684989'; $VAR18 = '0.0254210999870943'; $VAR19 = '0.0009148717049336'; $VAR20 = '0.0143050708112879'; $VAR21 = '0.0348075580783493'; $VAR22 = '0.00158559227869687'; $VAR23 = '0.0103470997202199'; $VAR24 = '0.00754097074292975'; $VAR25 = '0.0959707938388457'; $VAR26 = '0.0627783104537959'; $VAR27 = '0.0954697013853845'; $VAR28 = '0.0665052596996407'; $VAR29 = '0.0167685373770907'; $VAR30 = '0.0788104219107438';
"... almost every critical biblical position was earlier advanced by skeptics." - Raymond Brown
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