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学習者コーパス研究におけるマルチレベル順序ロジットモデルの活用

 学習者コーパス研究におけるマルチレベル順序ロジットモデルの活用

Yuichiro Kobayashi

July 10, 2021
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  1. झࢫ  ֶशऀίʔύεݚڀʹ ʢϚϧνϨϕϧʣॱংϩδοτϞσϧΛ ࢖͏ͱྑͦ͞͏ͳͷͰɺ ΈΜͳͰߟ͑ͯΈ͍ͨ    ɹ

     ͨͩ͠ɺࢲ͸ͦΕ΄Ͳ͜ͷख๏ʹৄ͍͠Θ͚Ͱ͸ͳ͍ͷͰɺ օ༷ͷϑΟʔυόοΫʹظ଴ʢଞྗຊئʣ 3
  2. ൃදͷྲྀΕ •  ໰୊ҙࣝ •  ֶशऀίʔύεݚڀ •  ࣗಈ࠾఺ݚڀ •  ఏҊख๏ • 

    ॱংϩδοτϞσϧ •  ϚϧνϨϕϧϞσϧ •  έʔεελσΟ •  ෼ੳσʔλ •  ෼ੳํ๏ •  ෼ੳ݁Ռ BOENPSF 4
  3. ໰୊ҙࣝ •  ֶशऀίʔύεݚڀͷࢹ఺ʢίʔύεΛهड़͠ɺൃୡࢦඪΛಛఆʣ •  ͲͷΑ͏ͳ౷ܭϞσϧΛ࢖͏͔ʁ •  ୯७ͳઢܗϞσϧͰΑ͍ͷ͔ʁ ɹˣ •  ίʔύεݚڀͷجຊతͳσʔλ୯ҐͰ͋Δʮස౓ʯ͸Χ΢ϯτσʔλ

    ʢෛ஋ΛͱΒͳ͍ʣ •  ֶशऀίʔύεݚڀͰҰൠతͳ໨తม਺͸ΧςΰϦΧϧม਺ ʢʮֶ೥ʯ΍ʮशख़౓ϨϕϧʯͷΑ͏ͳॱংई౓ɺʮ฼ޠʯͷΑ͏ͳ໊ٛई౓ʣ ɹˣ •  ਖ਼͍͠ਪఆ͕Ͱ͖ͳ͍ख๏Λ࢖͏ͱɺਖ਼͍͠ൃୡࢦඪͷಛఆ͕Ͱ͖ͳ͍ 5
  4. •  ࣗಈ࠾఺ݚڀͷࢹ఺ʢൃୡࢦඪΛ༻͍ͯɺशख़౓ϨϕϧΛ༧ଌʣ •  ࣗಈ࠾఺͸ɺൃୡࢦඪʹؔ͢Δ৘ใΛख͕͔Γͱͯ͠ར༻ʢઆ໌ม਺ʣ •  ଟ͘ͷγεςϜ͸ɺ఺਺ʢִؒई౓ʣͰ͸ͳ͘ɺशख़౓Ϩϕϧʢॱংई౓ʣ Λ༧ଌʢ໨తม਺ʣ •  ໨తม਺͕ॱংई౓Ͱ͋ͬͯ΋໊ٛई౓ͱΈͳ͠ɺճؼ໰୊Ͱ͸ͳ͘ɺ෼ྨ ໰୊Ͱղ͘Ξϓϩʔν͕ଟ͍ҹ৅

    ʢ෼ྨ໰୊ͱͯ͠ղ͍ͨํ͕ߴ͍ਫ਼౓ΛಘΒΕΔ͜ͱ΋ଟ͍ͨΊʣ ɹˣ •  ͔͠͠ɺσʔλ෼ੳͷਖ਼߈๏ͱͯ͠͸ɺॱংม਺ͷճؼ໰୊ͱͯ͠ղ͘΂͖ Ͱ͸ͳ͍͔ʁ •  ໊ٛई౓ΑΓ΋ॱংई౓ͷํ͕୯७ʹղऍͰ͖ɺજࡏతʹ༧ଌਫ਼౓΋ߴ͍ "HSFTUJ   6
  5. ॱংϩδοτϞσϧ PSEFSFEMPHJUNPEFM  •  ཭ࢄબ୒Ϟσϧ EJTDSFUFDIPJDFNPEFM ͷͭ •  ໨తม਺ɿॱংม਺ʢͭҎ্ʣ • 

    આ໌ม਺ɿ਺஋ܕͰ΋ҼࢠܕͰ΋0, 8 ໨తม਺ͷई౓ ॱংई౓ ໊ٛई౓ ໨తม਺ͷ਺ ͭ ϩδεςΟοΫճؼ෼ੳ ϩδεςΟοΫճؼ෼ੳ ͭҎ্ ॱংϩδοτϞσϧ ॱংϓϩϏοτϞσϧ ଟ߲ϩδοτϞσϧ ଟ߲ϓϩϏοτϞσϧ ॱংϓϩϏοτϞσϧ͸ɺॱংϩδοτϞσϧͱ΄΅ಉ݁͡ՌΛฦ͕͢ɺϩδεςΟοΫؔ਺Ͱ͸ͳ͘ਖ਼ن෼෍ ؔ਺Λ༻͍Δɻσʔλʹۃ୺ʹେ͖͍஋ؚ͕·ΕΔ৔߹͸ɺॱংϩδοτϞσϧͷํ͕ଥ౰ FH -JBP   ˗ΧςΰϦΧϧม਺Λѻ͏ओͳճؼ෼ੳ
  6. ϚϧνϨϕϧϞσϧ NVMUJMFWFMNPEFM  •  ֊૚తσʔλΛ෼ੳ͢ΔͨΊͷϞσϧ •  -ֶशऀʢ-ͷࠩΛߟྀͨ͠෼ੳʣ •  λεΫֶशऀʢλεΫͷࠩΛߟྀͨ͠෼ੳʣ • 

    ֶशऀଌఆ࣌఺ʢ࣌ܥྻ෼ੳʣ ɹɹFUD •  Ϩϕϧ͚ͩͰͳ͘ɺϨϕϧҎ্Ͱ΋0, •  ଟ͘ͷֶशऀίʔύε͸ɺ֊૚తͳߏ଄ •  ࠃʢ㲈-ʣ •  Ϟʔυʢॻ͖ݴ༿ʗ࿩͠ݴ༿ʣ •  λεΫ •  τϐοΫ FUD 10 ೔ຊ ֶ श ऀ ֶ श ऀ ֶ श ऀ ؖࠃ ֶ श ऀ ֶ श ऀ ֶ श ऀ தࠃ ֶ श ऀ ֶ श ऀ ֶ श ऀ ूஂϨϕ ݸਓϨϕ
  7. •  ֊૚తσʔλʹ௨ৗͷճؼ෼ੳΛ༻͍Δ໰୊ ਗ਼ਫ   •  αϯϓϧͷಠཱੑԾఆͷҧ൓ •  ճؼ෼ੳ͸αϯϓϧͷಠཱੑΛԾఆ͢Δ͕ɺ֊૚తσʔλͷαϯϓϧ͸ಠཱ͍ͯ͠ͳ͍ • 

    ඪ४ޡࠩΛෆ౰ʹখ͘͞ݟੵ΋ͬͯ͠·͍ɺλΠϓᶗΤϥʔΛ൜͢Մೳੑ ɹɹˣ •  ਖ਼͍͠ൃୡࢦඪͷಛఆɺਖ਼͍͠-ͷӨڹͷಛఆͷ๦͛ •  ਪఆ஋ͷղऍͷ໰୊ •  ճؼ܎਺ͷதʹɺूஂͷੑ࣭ͱݸਓͷੑ࣭͕ࠞࡏ͍ͯ͠ΔͨΊɺղऍ͕ࠔ೉ ɹɹˣ •  ೔ຊਓ͔ͩΒɺݴޠ߲໨9ΛΑ͘࢖͏ͷ͔ʁ •  ೔ຊਓ͸ฏۉతʹशख़౓͕௿͍͔Βɺݴޠ߲໨9ΛΑ͘࢖͏ͷ͔ʁ •  शख़౓ͷ௿ֶ͍शऀ͸ɺ-ʹ͔͔ΘΒͣɺݴޠ߲໨9ΛΑ͘࢖͏ͷ͔ʁ 11
  8. •  ϚϧνϨϕϧϞσϧΛ༻͍ͨݴޠݚڀ •  (SJFTBOE%FTIPST   •  &'-BOEWT&4- "NVMUJMFWFMSFHSFTTJPONPEFMJOHQFSTQFDUJWFPOCSJEHJOHUIF QBSBEJHNHBQ

    •  .VSBLBNJ   •  .PEFMJOHTZTUFNBUJDJUZBOEJOEJWJEVBMJUZJOOPOMJOFBSTFDPOEMBOHVBHF EFWFMPQNFOU5IFDBTFPG&OHMJTIHSBNNBUJDBMNPSQIFNFT •  4UFQIFOT WBOEFS4MJL BOEWBO)PVU   •  5IF-JNQBDUPOMFBSOJOH-%VUDI5IF-EJTUBODFFGGFDU •  ;IBOH (FFSBFSUT BOE4QFFMNBO   •  /PO NFUPOZNJDFYQSFTTJPOTGPSHPWFSONFOUJO$IJOFTF"NJYFEFGGFDUT MPHJTUJDSFHSFTTJPOBOBMZTJT •  1BRVPU /BFUT BOE(SJFT   •  6TJOHTZOUBDUJDDPPDDVSSFODFUPUSBDFQISBTFPMPHJDBMDPNQMFYJUZEFWFMPQNFOU JOMFBSOFSXSJUJOH7FSC PCKFDUTUSVDUVSFTJO-0/(%"-& ɹFUD 14
  9. •  ίʔύεݴޠֶʹ͓͚ΔϚϧνϨϕϧͷԠ༻ʢՄೳੑʣ •  #BBZFOʹΑΔ࠷ॳͷಋೖ   •  (SJFTʹΑΔҰ࿈ͷղઆ࿦จ FH 

      •  ྔతͳ໨తม਺Λର৅ͱ͢Δճؼ෼ੳɺ͋Δ͍͸ɺ஋ͷ໨తม਺Λର৅ͱ ͢ΔϩδεςΟοΫճؼ෼ੳ͹͔ΓͰɺ஋Ҏ্ͷॱংม਺Λѻ͏ճؼ෼ੳ ͷ࢖༻ྫΛݟ͚ͭΒΕͣʜ •  Կ͔͝ଘ஌ͷํɺڭ͍͑ͯͩ͘͞N @@ Nʢճ໨ʣ 15
  10. ෼ੳσʔλ •  *$/"-& *OUFSOBUJPOBM$PSQVT/FUXPSLPG"TJBO-FBSOFSTPG&OHMJTI  *TIJLBXB   •  ࠃʢ㲈-ʣɿ೔ຊ

    +1/ ɺλΠ 5)" ɺ୆࿷ 58/  •  शख़౓Ϩϕϧʢ$&'3ʣɿ"ɺ#ɺ#ɺ#ʢˠʙʹม׵ʣ •  τϐοΫɿ1BSUUJNFKPC 17 ɹ CEFR Total 1 2 3 4 L1 JPN 154 179 49 18 400 THA 119 179 100 2 400 TWN 29 87 61 23 200 Total 302 445 210 43 1000
  11. •  ݴޠ߲໨ͷස౓ूܭʢˠઆ໌ม਺ʣ •  )ZMBOEͷϝλஊ࿩ඪࣝ •  ϝλஊ࿩ͱ͸ɺςΩετͷ໋୊಺༰ʹ௚઀ӨڹΛ༩͑ ͳ͍͕ɺटඌҰ؏ͨ͠࿦ཧతͳจষΛߏ੒ͨ͠Γɺಡ Έख໋͕୊಺༰΍จষͷల։ɺಡΈखʹର͢Δॻ͖ख ͷཱ৔Λཧղͨ͠Γ͢Δࡍʹ໾ཱͭ֓೦ • 

    ϝλஊ࿩ඪࣝ͸ɺϝλஊ࿩ʹ͓͚Δ༷ʑͳػೳΛ୲͏ දݱͷ͜ͱͰɺΞΧσϛοΫɾϥΠςΟϯάͷݚڀͳ ͲͰ෼ੳର৅ͱ͞ΕΔ͜ͱ͕ଟ͍ݴޠ߲໨ •  ӳޠֶशऀͷϥΠςΟϯάͰ͸ɺॻ͖खͷ-΍शख़ ౓͕ϝλஊ࿩ඪࣝͷස౓ύλʔϯʹ৭ೱ͘ݱΕΔ FH ,PCBZBTIJ     18
  12. •  ϝλஊ࿩ඪࣝͷछྨͷػೳΧςΰϦʔ )ZMBOE   19 &/% FOEPQIPSJDNBSLFST ͸ɺ ෼ੳσʔλதʹग़ݱͤͣ

    छྨ͍ۙදݱ͕Ϧετʹؚ·Εͯ ͍ΔͨΊɺଟมྔղੳͳͲʹศར ɹˣ ਺͕ଟա͗Δ৔߹ʢଟॏڞઢੑͷ͍ٙʣ ౷ܭతͳม਺બ୒ͳͲΛ࣮ߦ
  13. ෼ੳํ๏ •  ༧උత෼ੳ •  εςοϓϫΠζ๏ʹΑΔม਺બ୒ •  બ୒͞Εͨม਺ͷՄࢹԽ •  બ୒͞Εͨม਺ͷڃ಺૬ؔ܎਺ • 

    ॱংϩδοτϞσϧ •  -ͷҧ͍Λߟྀ͠ͳ͍Ϟσϧ •  -ͷҧ͍Λߟྀ͢ΔϞσϧ •  ϞσϧͷධՁ 20
  14. ༧උత෼ੳ •  εςοϓϫΠζ๏ʹΑΔม਺બ୒ʢॱংϩδοτϞσϧʣ •  "*$ʢ੺஑৘ใྔج४ʣʹجͮ͘ •  CEFR ~ TRA +

    SEM + BOO ɹɹˣ •  53" 5SBOTJUJPOT  •  4&. 4FMGNFOUJPOT  •  #00 #PPTUFST  21 Step: AIC=2356.04 CEFR ~ TRA + SEM + BOO Df AIC <none> 2356.0 + HED 1 2357.4 + ENG 1 2357.7 + ATM 1 2357.8 + EVI 1 2357.9 + FRM 1 2358.0 + COD 1 2358.0 - TRA 1 2358.5 - BOO 1 2358.7 - SEM 1 2365.1
  15. ՄࢹԽ •  ശͻ͛ਤ 22      

       $&'3 53"         $&'3 4&.          $&'3 #00 +1/ 5)" 58/      - 53" +1/ 5)" 58/     - 4&. +1/ 5)" 58/      - #00 આ໌ม਺ͷස౓͸ɺޠ͋ͨΓͷ૬ରස౓
  16. ՄࢹԽ •  ശͻ͛ਤ 23      

       $&'3 53"         $&'3 4&.          $&'3 #00 +1/ 5)" 58/      - 53" +1/ 5)" 58/     - 4&. +1/ 5)" 58/      - #00 આ໌ม਺ͷස౓͸ɺޠ͋ͨΓͷ૬ରස౓ 53"͸ɺ͋·Γ$&'3ؒ΍-ؒͷ͕ࠩͳ͍
  17. ՄࢹԽ •  ശͻ͛ਤ 24      

       $&'3 53"         $&'3 4&.          $&'3 #00 +1/ 5)" 58/      - 53" +1/ 5)" 58/     - 4&. +1/ 5)" 58/      - #00 આ໌ม਺ͷස౓͸ɺޠ͋ͨΓͷ૬ରස౓ 4&.͕$&'3΍-ͷ༧ଌʹ࠷΋د༩ͦ͠͏
  18. ՄࢹԽ •  ശͻ͛ਤ 25      

       $&'3 53"         $&'3 4&.          $&'3 #00 +1/ 5)" 58/      - 53" +1/ 5)" 58/     - 4&. +1/ 5)" 58/      - #00 આ໌ม਺ͷස౓͸ɺޠ͋ͨΓͷ૬ରස౓ #00͸ɺ$&'3ؒ΍-ؒͷ͕ࠩएׯ͋Γͦ͏
  19. •  ରࢄ෍ਤ 26 -      

              $&'3   53"             4&.                   #00 ૬ؔ܎਺͸ɺ4QFBSNBOͷํ๏
  20. -ͷҧ͍Λߟྀ͠ͳ͍Ϟσϧ .PEFMʣ 28 Cumulative Link Mixed Model fitted with the

    Laplace approximation formula: CEFR ~ TRA + SEM + BOO link threshold nobs logLik AIC niter max.grad cond.H logit flexible 1000 -1172.02 2356.04 5(0) 4.87e-07 2.7e+03 Coefficients: Estimate Std. Error z value Pr(>|z|) TRA -0.08146 0.03846 -2.118 0.034174 * SEM -0.05194 0.01565 -3.320 0.000901 *** BOO -0.11488 0.05357 -2.144 0.032005 * --- Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 Threshold coefficients: Estimate Std. Error z value 1|2 -1.7216 0.2351 -7.323 2|3 0.2379 0.2280 1.044 3|4 2.2763 0.2641 8.618 ࢖༻ͨ͠3ͷؔ਺ͷઆ໌ Ϟσϧࣜ ܎਺ͷਪఆ஋ ઢܗϞσϧͱҧ͍ɺͦͷ··໨తม਺ʹର͢Δ આ໌ม਺ͷӨڹ౓ͱͯ͠ղऍ͢Δ͜ͱ͕Ͱ͖ͳ͍ ʢݶɹɹ ɹքޮՌΛผ్ܭࢉ͢Δඞཁ͕͋Δʣ ੾ยͷਪఆ஋ ͨͱ͑͹ɺc͸ɺ໨తม਺͕ҎԼ͔ɺҎ্͔Λ ༧ଌ͢Δࣜͷ੾ยʢ؍ଌม਺Ͱ͸ͳ͘જࡏม਺ͳͷͰɺ ஋͸ศٓతͳ΋ͷʣ Ϟσϧͷઃఆɺద߹౓ͳͲ ݁Ռͷݟํ
  21. -ͷҧ͍Λߟྀ͠ͳ͍Ϟσϧ .PEFMʣ 29 Cumulative Link Mixed Model fitted with the

    Laplace approximation formula: CEFR ~ TRA + SEM + BOO link threshold nobs logLik AIC niter max.grad cond.H logit flexible 1000 -1172.02 2356.04 5(0) 4.87e-07 2.7e+03 Coefficients: Estimate Std. Error z value Pr(>|z|) TRA -0.08146 0.03846 -2.118 0.034174 * SEM -0.05194 0.01565 -3.320 0.000901 *** BOO -0.11488 0.05357 -2.144 0.032005 * --- Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 Threshold coefficients: Estimate Std. Error z value 1|2 -1.7216 0.2351 -7.323 2|3 0.2379 0.2280 1.044 3|4 2.2763 0.2641 8.618 ม਺ͱ΋ɺ शख़౓Ϩϕϧ্͕͕ΔʹͭΕͯɺ ༗ҙʹݮগ͍ͯ͘͠ આ໌ม਺͕ݴޠ߲໨ͷස౓ͳͷͰɺ ަޓ࡞༻͸૝ఆ͍ͯ͠ͳ͍
  22. -ͷҧ͍Λߟྀ͢ΔϞσϧ .PEFM  30 Cumulative Link Mixed Model fitted with

    the Laplace approximation formula: CEFR ~ TRA + SEM + BOO + (1 | L1) link threshold nobs logLik AIC niter max.grad cond.H logit flexible 1000 -1152.72 2319.45 424(863) 2.91e-04 1.6e+03 Random effects: Groups Name Variance Std.Dev. L1 (Intercept) 0.2369 0.4868 Number of groups: L1 3 Coefficients: Estimate Std. Error z value Pr(>|z|) TRA -0.07840 0.03874 -2.024 0.0430 * SEM -0.04044 0.01699 -2.380 0.0173 * BOO -0.09567 0.05466 -1.750 0.0801 . --- Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 Threshold coefficients: Estimate Std. Error z value 1|2 -1.7850 0.3705 -4.818 2|3 0.2469 0.3660 0.674 3|4 2.3368 0.3891 6.005 ϥϯμϜ੾ยϞσϧ SBOEPNJOUFSDFQUNPEFM  ϥϯμϜ܏͖ SBOEPNTMPQF  ʹ͍ͭͯ͸ޙड़ .PEFMͱൺ΂ͯɺ܎਺ͷ༗ҙੑ͕௿͘ͳ͍ͬͯΔ ɹˣ -ͷҧ͍Λߟྀ͠ͳ͍ͱɺशख़౓Ϩϕϧͷ༧ଌʹର͢Δ د༩౓͕ʢෆ౰ʹʣߴΊʹݟੵ΋ΒΕͯ͠·͏ ϚϧνϨϕϧϞσϧͳͷͰɺ ϥϯμϜޮՌͷ෼ࢄͱඪ४ภࠩͳͲ͕දࣔ
  23. ϞσϧͷධՁ 31 ===================================================== Model 1 Model 2 ----------------------------------------------------- TRA -0.08

    * -0.08 * (0.04) (0.04) SEM -0.05 *** -0.04 * (0.02) (0.02) BOO -0.11 * -0.10 (0.05) (0.05) 1|2 -1.72 *** -1.78 *** (0.24) (0.37) 2|3 0.24 0.25 (0.23) (0.37) 3|4 2.28 *** 2.34 *** (0.26) (0.39) ----------------------------------------------------- AIC 2356.04 2319.45 BIC 2385.49 2353.80 Log Likelihood -1172.02 -1152.72 Num. obs. 1000 1000 Groups (L1) 3 Variance: L1: (Intercept) 0.24 ===================================================== *** p < 0.001; ** p < 0.01; * p < 0.05 "*$ΛݟΔͱɺ .PEFMͷํ͕ϕλʔ
  24. •  ໬౓ൺݕఆ •  .PEFMͱൺ΂ͯɺ.PEFM͸༗ҙʹઆ໌ྗ͕ߴ͍ 32 Likelihood ratio tests of cumulative

    link models: formula: link: threshold: Model 1 CEFR ~ TRA + SEM + BOO logit flexible Model 2 CEFR ~ TRA + SEM + BOO + (1 | L1) logit flexible no.par AIC logLik LR.stat df Pr(>Chisq) Model 1 6 2356.0 -1172.0 Model 2 7 2319.4 -1152.7 38.593 1 5.22e-10 *** --- Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
  25. •  .PEFMͰ༗ҙͩͬͨઆ໌ม਺ͷՄࢹԽ 53" 4&.  33 TRA effect plot TRA

    CEFR (probability) 0.1 0.2 0.3 0.4 0.5 2 4 6 8 10 = CEFR 1 0.1 0.2 0.3 0.4 0.5 = CEFR 2 0.1 0.2 0.3 0.4 0.5 = CEFR 3 0.1 0.2 0.3 0.4 0.5 = CEFR 4 SEM effect plot SEM CEFR (probability) 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0 5 10 15 20 = CEFR 1 0.0 0.1 0.2 0.3 0.4 0.5 0.6 = CEFR 2 0.0 0.1 0.2 0.3 0.4 0.5 0.6 = CEFR 3 0.0 0.1 0.2 0.3 0.4 0.5 0.6 = CEFR 4 53"ɺ4&.ͱ΋ʹɺ௿͍शख़౓Ϩϕϧʹݦஶͳ߲໨ ͜ͷਤͰ͸ɺ͋ΔཁҼ͕มԽͨ͠৔߹ͷ$&'3Ϩϕϧͷ֬཰ʹ༩͑ΔӨڹΛՄࢹԽ ʢมԽ͢ΔཁҼҎ֎͸ɺฏۉ஋ʹݻఆʣ
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