仮説検定とP値

たびたび議論にあがる仮説検定やP値についてまとめた資料です．

Transcript

1. 1஋ʹৼΓճ͞Εͳ͍ͨΊͷ
   Ծઆݕఆͱ1஋ͷ࿩ ࠤ౻
   ढ़ଠ࿕
   ௕࡚େֶපӃ
   ྟচݚڀηϯλʔ
   TIVOUBSPTBUP!OBHBTBLJVBDKQ
2. ʰݱ୅Ӹֶʱൃച 3
3. 5 ݕఆͱ͸ʁɹ1஋ͱ͸ʁ
5. 7 Ͳ͏͍͏ͱ͖ʹݕఆ͸໰୊ʹͳΔʁ
6. ྫɿෳ਺࣌఺ଌఆͨ͠σʔλͷൺֱ 8 ͋Δछͷ
   ৺ΞϛϩΠυʔγεױऀ ύνγϥϯʢO
   
   ʣ ϓϥηϘʢO
   
   ʣ ओཁධՁ߲໨ʢϓϥΠϚϦʔΤϯυϙΠϯτʣ ϲ݄࣌఺Ͱͷ෼ؒาߦڑ཭ͷϕʔεϥΠϯ͔ΒͷมԽྔ R .BVSFS
   .
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   ΑΓ ओཁධՁ߲໨
   ΁ͷղੳ w ϲ݄࣌఺Ҏ֎ͷ࣌఺Ͱͷ܈ؒൺֱ
   w ϕʔεϥΠϯͱͷ܈಺ൺֱ
   w հೖ܈͸ϕʔεϥΠϯͱมԽ͕ͳ ͍͜ͱΛ͍ࣔͨ͠ʁ
   w ϓϥηϘ܈͸ϕʔεϥΠϯ͔Βม Խ͢Δ͜ͱΛ͍ࣔͨ͠ʁ
7. ྫɿΞ΢τΧϜͱෳ਺߲໨ͱͷؔ࿈ 9 ಛൃੑഏઢҡ঱ͷױऀ ٸੑ૿ѱ͋ΓʢO
   
   ʣ ٸੑ૿ѱͳ͠ʢO
   
   ʣ ධՁ߲໨ ,BLVHBXB
   5
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    w ٤Ԏྺ
   w طԟྺ
   w ഏػೳ
   w ࣏ྍํ๏ ٸੑ૿ѱͷൃੜʹ
   د༩͢Δม਺͸ʁ ͨ͘͞Μݕఆͯ͠༗ҙͳͱ͜ΖΛ୳͢ʁ
8. 10 ͜ͷ໰୊΁ͷରॲ๏͸ʁ
9. ຊ೔ͷྲྀΕ 11 ݕఆͱ͸ʁɹ1஋ͱ͸ʁ w ݕఆͨ݁͠Ռɺʮ͕ࠩͳ͍ʯͱ͸ͳͥݴ͑ͳ͍ʁ
   w 1஋͕খ͍͞΄Ͳ͕ࠩେ͖͍ɺͱͳͥݴ͑ͳ͍ʁ
   w ౷ܭత༗ҙͰͳ͔ͬͨͱ͖͸ɺͲͷΑ͏ʹදݱ͢Ε͹ྑ͍ʁ
   w ݕఆʹର͢Δ౷ܭՈͷؾ࣋ͪ͸ʁ
   w Կճ΋ݕఆΛ܁Γฦ͢ͷ͸Α͘ͳ͍ͱฉ͚͘Ͳɺͳͥʁ ଟॏੑͷ໰୊ w ଟॏੑͷௐ੔ํ๏
   w #POGFSSPOJɺ)PMNɺ֊૚खॱɺήʔτΩʔϐϯά๏
   w ୳ࡧతͱݕূతΛΘ͚Δ ࿦จهࡌྫ
10. 12 ݕఆͱ͸ʁɹ1஋ͱ͸ʁ
11. ݕఆ͢ΔͱԿ͕Θ͔Δʁ 13 Կ͔ͱԿ͔ʹҧ͍͕͋Δ͔Ͳ͏͔ɺ͕Θ͔Δ ʜ Uݕఆ "܈ͱ#܈ͷฏۉ஋ʹҧ͍͕͋Δ͔ ରԠͷ͋ΔUݕఆ ϕʔεϥΠϯͱिؒޙͷσʔλʹҧ͍͕͋Δ͔ ΧΠೋ৐ݕఆ "܈ͱ#܈ͷׂ߹ʹҧ͍͕͋Δ͔ 8JMDPYPOͷॱҐ࿨ݕఆ "܈ͱ#܈ͷσʔλͷ෼෍ͷҐஔʹҧ͍͕͋Δ͔ MPHSBOLݕఆ "܈ͱ#܈ͷશମతͳੜଘ֬཰ʹҧ͍͕͋Δ͔ ճؼ෼ੳˠճؼ܎਺ʹର͢Δݕఆ w ࢀর۠෼ͱൺֱͯ͠ɺ͋Δ۠෼ͷΞ΢τΧϜʹҧ͍͕͋Δ͔
    w ୯ҐมԽʹҧ͍͕͋Δ͔
12. ͳͥݕఆ͸޷͔ΕΔͷ͔ʁ 14 wҙࢥܾఆָ͕
    wओ؍తͰͳ͍ͱݴ͑Δ
    wγάφϧݕग़ָ͕
    wฏۉ஋΍ׂ߹ΛҰͭҰͭશ෦ݟΔͷ͸େม
    wղऍָ͕
    wࡶࢽɺࠪಡऀ͕޷͖
    w఻౷ ʮҙຯ͕͋Δɺͳ͍ʯͱ͍͏Θ͔Γ΍͍͢൑அΛ
    ٬؍తʹ͍ͯ͠ΔΑ͏ʹݟ͑Δ͔Β
13. ݕఆͷछྨ͸ͨ͘͞Μ͋Δ͚Ͳ࢓૊Έʹڞ௨఺͸͋Δʁ 15 Uݕఆ ରԠͷ͋ΔUݕఆ ΧΠೋ৐ݕఆ 8JMDPYPOͷॱҐ࿨ݕఆ MPHSBOLݕఆ ճؼ෼ੳˠճؼ܎਺ʹର͢Δݕఆ ݕఆ౷ܭྔ 1஋ ༗ҙਫ४ͱൺֱ ͜ΕΒ͕Θ͔Ε͹ɺ
    Ͳͷݕఆͷ࢓૊Έ΋ ʢͬ͘͟ΓʣΘ͔Δ
14. ݕఆͷྲྀΕʢΑ͋͘Δઆ໌ʣ 16 ݚڀԾઆʢྫɿ"܈ͱ#܈ͷΞ΢τΧϜൃੜׂ߹ʹ͕ࠩ͋Δʣ ؼແԾઆʢྫɿ"܈ͱ#܈ͷൃੜׂ߹ʹ͕ࠩͳ͍ʣ 1஋ 1஋͕༗ҙਫ४ະຬͳΒɺؼແԾઆΛغ٫
    ˠ
    "܈ͱ#܈ͷൃੜׂ߹ʹ͕ࠩ͋Δ σʔλ ௚઀తʹݚڀԾઆ͸ཱূͰ͖ͳ͍͔Βɺഎཧ๏Λ࢖͏
15. ݕఆͷྲྀΕʢਖ਼֬ʹʣ 17 ݚڀԾઆʢྫɿ"܈ͱ#܈ͷΞ΢τΧϜൃੜׂ߹ʹ͕ࠩ͋Δʣ ؼແԾઆʢྫɿ"܈ͱ#܈ͷൃੜׂ߹ʹ͕ࠩͳ͍ʣ ݕఆ౷ܭྔ 1஋ 1஋͕༗ҙਫ४ະຬͳΒɺؼແԾઆΛغ٫
    ˠ
    "܈ͱ#܈ͷൃੜׂ߹ʹ͕ࠩ͋Δ σʔλ ౷ܭϞσϧ Ծఆ w ϥϯμϜԽɺϥϯμϜαϯϓϦϯά
    w ݚڀܭըͷ९क
    w ࠾༻ͨ͠౷ܭख๏͝ͱͷԾఆ ౷ܭख๏ʹΑΓɺൣғͷҟͳΔ஋͕ܭࢉ͞ΕΔ ʙͷൣғͷ֬཰ʹམͱ͠ࠐΉ
    ˠ
    ౷Ұతʹѻ͑Δ ؼແԾઆΛؚΊͨ౷ܭϞσϧ͕͢΂ͯਖ਼͍͠ͳΒ͹ ݕఆ౷ܭྔͷ෼෍
16. ݕఆ౷ܭྔͱ1஋ 18 ݕఆ౷ܭྔ΋1஋΋ ؍ଌ͞Εͨσʔλͱಛఆͷ౷ܭϞσϧ͕ໃ६͢Δఔ౓ Λදͨ͠ࢦඪ ໃ६ͷఔ౓ খ େ ݕఆ౷ܭྔͷେ͖͞ খ େ 1஋  
17. ݕఆ౷ܭྔͷߏ੒ 19 ໃ६ͷఔ౓ খ େ ݕఆ౷ܭྔͷେ͖͞ খ େ w ҧ͍͕େ͖͍ w ҧ͍ͷ͹Β͖͕ͭখ͍͞
    w αϯϓϧαΠζ͕େ͖͍ ݕఆ౷ܭྔ = γάφϧ ϊΠζ t = ¯ Y 1 − ¯ Y 0 s 1/n1 + 1/n0 t = ̂ β se( ̂ β) z2 = ( ̂ p 1 − ̂ p 0 )2 ̂ p1 (1 − ̂ p1 ) n1 + ̂ p0 (1 − ̂ p0 ) n0 ݕఆ౷ܭྔ
    େ
18. ҧ͍ͱαϯϓϧαΠζΛେ͖͘͢Δͱɺݕఆ౷ܭྔ͸େ͖͘ɺ1஋͸খ͘͞ͳΔ 20 ৽ༀ ϓϥηϘ R ओཁධՁ߲໨ɿϲ݄ޙͷ࣏༊ׂ߹ ৽ༀ ϓϥηϘ ҧ͍ ΧΠ
    ೋ৐஋ 1஋ ࣏༊      શମ   ৽ༀ ϓϥηϘ ҧ͍ ΧΠ
    ೋ৐஋ 1஋ ࣏༊     
     શମ   ৽ༀ ϓϥηϘ ҧ͍ ΧΠ
    ೋ৐஋ 1஋ ࣏༊     
     શମ   ৽ༀ ϓϥηϘ ҧ͍ ΧΠ
    ೋ৐஋ 1஋ ࣏༊     
     શମ   αϯϓϧαΠζΛେ͖͘ αϯϓϧαΠζΛେ͖͘ ҧ͍Λେ͖͘ ҧ͍Λେ͖͘
19. 1஋ͱ͸ 21 ಛఆͷ౷ܭϞσϧʢؼແԾઆΛؚΊʣͷ΋ͱɺ
    ؍ଌ͞ΕͨσʔλΛؚΊɺͦΕҎ্ۃ୺ͳσʔλ͕ಘΒΕΔ֬཰ ಛఆͷ౷ܭϞσϧͷ΋ͱɺ
    ಘΒΕΔͰ͋Ζ͏σʔλͷൣғ େ ؍ଌ͞Εͨσʔλ ಛఆͷ౷ܭϞσϧͷ΋ͱɺ
    ؍ଌσʔλ͕ಘΒΕΔ֬཰ த খ ໃ६ͷఔ౓ খ த େ ˞Πϝʔδ 1஋ େ த খ
20. ໃ६͍ͯ͠Δɺͱݴ͍੾ΕΔ͔ʁ 22 ৽ༀ ϓϥηϘ R ओཁධՁ߲໨ɿϲ݄ޙͷ࣏༊ׂ߹ ৽ༀ ϓϥηϘ ҧ͍ ΧΠ
    ೋ৐஋ 1஋ ࣏༊      શମ   ৽ༀ ϓϥηϘ ҧ͍ ΧΠ
    ೋ৐஋ 1஋ ࣏༊     
     શମ   1஋େ͖͍ ໃ६খ͍͞ 1஋খ͍͞ ໃ६େ͖͍ ؼແԾઆɿ৽ༀͱϓϥηϘͰɺϲ݄ޙͷ࣏༊ׂ߹͕ಉ͡ ࣏༊ׂ߹͕ҧ͏ɺͬͯݴ͍͖ΕΔʁ
21. ༗ҙਫ४ɿໃ६͢Δͱݴ͍੾Δᮢ஋ 23 ৽ༀ ϓϥηϘ ҧ͍ ΧΠ
    ೋ৐஋ 1஋ ࣏༊      શମ   ৽ༀ ϓϥηϘ ҧ͍ ΧΠ
    ೋ৐஋ 1஋ ࣏༊     
     શମ   ؼແԾઆɿ৽ༀͱϓϥηϘͰɺϲ݄ޙͷ࣏༊ׂ߹͕ಉ͡ ʮಛఆͷ౷ܭϞσϧͷ΋ͱɺ؍ଌσʔλ͸ໃ६͢ΔʯͱܾΊΔᮢ஋ΛࣄલʹఆΊΔ ༗ҙਫ४ʢЋʣ׳शతʹ
    Պֶతͳࠜڌ͸શ͘ͳ͍ 1
    
    
    ˠ
    ༗ҙਫ४Ҏ্ 1
    
    
    ˠ
    ༗ҙਫ४ະຬ ౷ܭతʹ༗ҙʹɺ࣏༊ׂ߹͸ҧ͏ɺ͜ͱ͕ࣔ͞Εͨ ࣏༊ׂ߹͸ҧ͏ɺͱ͸ݴ͑ͳ͍ ໃ६͢Δ
22. 24 ݕఆʹର͢Δٙ໰
23. 2
    ݕఆͨ݁͠Ռɺʮ͕ࠩͳ͍ʯͱ͸ͳͥݴ͑ͳ͍ʁ 25 ݕఆ౷ܭྔ = γάφϧ ϊΠζ ౷ܭతʹ༗ҙͰͳ͔ͬͨ 1஋͕༗ҙਫ४Ҏ্ 1஋͕େ͖͍ɺݕఆ౷ܭྔ͕খ͍͞ খ͍͞ʁ େ͖͍ʁ ݕఆ౷ܭྔ΍1஋Ͱ͸ɺγάφϧ͕খ͍͞ͷ͔ɺϊΠζ͕େ͖͍ͷ͔൑ผͰ͖ͳ͍ 1஋͕େ͖͍ͷ͸ɺγάφϧ͕খ͍͞ͷͰ͸ͳ͘ɺϊΠζ͕େ͖͍͔Β͔΋͠Εͳ͍ ؼແԾઆ͕ਖ਼͍͠ʢ͕ࠩͳ͍ʣɺͱݴ͍੾Εͳ͍ ಛఆͷ౷ܭϞσϧʢؼແԾઆʣͱ؍ଌσʔλͱͷໃ६͕খ͍͞
24. 2
    1஋͕খ͍͞΄Ͳ͕ࠩେ͖͍ɺͱͳͥݴ͑ͳ͍ʁ 26 ݕఆ౷ܭྔ 1஋ ϑΟογϟʔྲྀݕఆʢ༗ҙੑݕఆʣ ωΠϚϯɾϐΞιϯྲྀݕఆʢ౷ܭతԾઆݕఆʣ ౷ܭϞσϧʢؼແԾઆʣ খ͚͞Ε͹খ͍͞΄Ͳɺ ͕ࠩ͋ΔՄೳੑ͸ߴ͍ ͕ࠩ͋ΔɺͱஅఆͰ͖ͳ͍ ౷ܭϞσϧʢؼແԾઆʣ ݕఆ౷ܭྔ 1஋ ༗ҙਫ४ͱൺֱ 1஋͕
    ༗ҙਫ४ະຬ ରཱԾઆ ؼແԾઆΛغ٫ɺରཱԾઆΛ࠾୒ σʔλ Ұൠతͳݕఆ͸ͪ͜Β ༗ҙਫ४Λ༻͍ͯɺ౷ܭత༗ҙੑʹݴٴ͢ΔҎ্ɺ1஋͕খ͍͞΄Ͳ͕ࠩେ͖͍ͱ͸ݴ͑ͳ͍ w 1஋͸༗ҙਫ४Ҏ্͔ະຬͷ ൑அʹ͔͠࢖Θͳ͍
    w 1
    
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    w 1
    
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25. 2
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    w ͦ͏Ͱͳ͍ͳΒɺʮTJHOJpDBOUMZʯ͸࢖Θͳ͍
26. 2
    ౷ܭత༗ҙͰͳ͔ͬͨͱ͖͸ɺͲͷΑ͏ʹදݱ͢Ε͹ྑ͍ʁ 28 w<3FTVMUT>
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    .
    $SBXGPSE
    3
    )BSSJT#SPXO
    5
    3POFZ
    +
    8JTOJFXTLJ
    +
    EF
    4UFJHFS
    3
    
    "4"1
    5SJBM
    (SPVQ
     
    5SJBM
    PG
    7BODPNZDJO
    BOE
    $FGB[PMJO
    BT
    4VSHJDBM
    1SPQIZMBYJT
    JO
    "SUISPQMBTUZ
    5IF
    /FX
    &OHMBOE
    +PVSOBM
    PG
    .FEJDJOF
     
    r w<$PODMVTJPO>
    5IF
    BEEJUJPO
    PG
    WBODPNZDJO
    UP
    DFGB[PMJO
    QSPQIZMBYJT
    XBT
    OPU
    TVQFSJPS
    UP
    QMBDFCP
    GPS
    UIF
    QSFWFOUJPO
    PG
    TVSHJDBMTJUF
    JOGFDUJPOT
    JO
    BSUISPQMBTUZ
    BNPOH
    QBUJFOUT
    XJUIPVU
    LOPXO
    .34"
    DPMPOJ[BUJPO
27. 2
    ݕఆʹର͢Δ౷ܭՈͷؾ࣋ͪ͸ʁ 29 w #FOKBNJO
    %+
    #FSHFS
    +0
    +PIBOOFTTPO
    .
    FU
    BM
    3FEFpOF
    TUBUJTUJDBM
    TJHOJpDBODF
    /BU
    )VN
    #FIBW
    
    r
     
    IUUQTEPJPSHT[
    w *PBOOJEJT
    +1"
    5IF
    1SPQPTBM
    UP
    -PXFS
    1
    7BMVF
    5ISFTIPMET
    UP
    
    +"."
      r
    EPJKBNB
    w "NSIFJO
    7
    (SFFOMBOE
    4
    .D4IBOF
    #
    4DJFOUJTUT
    SJTF
    VQ
    BHBJOTU
    TUBUJTUJDBM
    TJHOJpDBODF
    /BUVSF
    
    .BS  r w 1஋͸ؼແԾઆ͕ਖ਼͍֬͠཰Ͱ͋Δ
    w ౷ܭతʹ༗ҙͳΒ͹ɺੜ෺ֶతʹ΋ҙຯ͕͋Δ
    w ݕఆ݁Ռ͕༗ҙͰͳ͍ͳΒ͹ɺؼແԾઆ͕ਖ਼͍͜͠ͱΛ ҙຯ͢Δ
    ˠ
    ޮՌ͸ͳ͍ʢಉ౳ʣ 1஋ͷΑ͋͘Δޡղ w ݚڀͷ໨త͕1஋Λ༗ҙʹ͢Δ͜ͱʹͳ͍ͬͯΔ
    w αϯϓϧαΠζΛແࢹͯ͠1஋ͷܭࢉΛ͓͜ͳ͍ͬͯΔ
    w ޮՌʢؔ࿈ʣͷେ͖͞ʹ஫໨͢Δ͜ͱΛܰࢹ͍ͯ͠Δ
    w ༗ҙʹͳͬͨԾઆ΍ཁҼ͔͠ใࠂͤͣɺޙଓͷݚڀʹ͍͔ͤͳ͍
    w 1
    
    ͱ1
    
    ͷࠩΛൺֱ͢Δҙٛ ৻ॏͳཧ༝ ݕఆͷ࢖༻ʹ͸৻ॏɺੵۃతʹ࢖༻Λ͢͢Ίͳ͍
28. ΞϝϦΧ౷ܭֶձ͔Βͷ੠໌ʢ"4"੠໌ʣ 30  1஋͸σʔλͱಛఆͷ౷ܭϞσϧʢ༁஫ɿԾઆ΋౷ܭϞσϧͷཁૉͷͻͱͭʣ͕
    ໃ६͢Δఔ౓Λ͠Ί͢ࢦඪͷͻͱͭͰ͋Δ
     1஋͸ɺௐ΂͍ͯΔԾઆ͕ਖ਼͍֬͠཰΍ɺσʔλ͕ۮવͷΈͰ͑ΒΕͨ֬཰ΛଌΔ΋ͷͰ͸ͳ͍
     Պֶతͳ݁࿦΍ɺϏδωεɺ੓ࡦʹ͓͚Δܾఆ͸ɺ1஋͕͋Δ஋ʢ༁஫ɿ༗ҙਫ४ʣΛ௒͔͑ͨͲ͏͔ʹͷΈ جͮ͘΂͖Ͱ͸ͳ͍
     దਖ਼ͳਪଌͷͨΊʹ͸ɺ͢΂ͯΛใࠂ͢Δಁ໌ੑ͕ඞཁͰ͋Δ
     1஋͸ɺͦΕ͚ͩͰ͸౷ܭϞσϧ΍Ծઆʹؔ͢ΔΤϏσϯεͷɺΑ͍ࢦඪͱ͸ͳΒͳ͍ ೔ຊܭྔੜ෺ֶձ͕຋༁ͨ͠ɺ"4"੠໌͔ΒҾ༻ 8BTTFSTUFJO
    3-
    -B[BS
    /"
    5IF
    "4"
    4UBUFNFOU
    PO
    Q7BMVFT
    $POUFYU
    1SPDFTT
    BOE
    1VSQPTF
    "N
    4UBU
    
    "QS
      r
29. 2
    Կճ΋ݕఆΛ܁Γฦ͢ͷ͸Α͘ͳ͍ͱฉ͚͘Ͳɺͳͥʁ 31 ЋΤϥʔͷ૿Ճ ਅ࣮ʢਆͷΈ஌Δʣ ͕ࠩͳ͍ ͕ࠩ͋Δ ݕఆ ༗ҙࠩͳ͠ ਖ਼͍͠ ِӄੑ
    ЌΤϥʔ
    λΠϓΤϥʔ ༗ҙࠩ͋Γ ِཅੑ
    ЋΤϥʔ
    λΠϓΤϥʔ ਖ਼͍͠ ùü ü÷ þü ø÷÷ ÷ ùü ü÷ þü ø÷÷ ݕఆճ਺ ЋΤϥʔïìð w ݕఆʹ͸छྨͷΤϥʔ͕͋Δ
    w ճͷݕఆͰ͸ЋΤϥʔΛʢ׳शతʹʣ·Ͱڐ༰ w ݕఆΛ܁Γฦ͢ͱɺЋΤϥʔ͸૿Ճ͢Δ
    w ౷ܭϞσϧʢؼແԾઆؚΉʣ͕ਖ਼ͯ͘͠΋ɺ
    ճݕఆ͢Ε͹ɺͭͷݕఆʹ͸ޡΓ͕͋Δ ಘΒΕͨ݁Ռ͸ΤϥʔͰ͋Γɺ
    ҙຯ͕ͳ͍͔΋͠Εͳ͍ ຊ౰͸͕ࠩͳ͍ͷʹɺݕఆͰ͕ࠩ͋Δͱݕग़ͯ͠͠·͏Τϥʔ ଟॏੑͷ໰୊
30. ଟॏੑͷ໰୊͕ى͜Γ΍͍͢ͱ͜Ζ 32 w Ξ΢τΧϜ͕ෳ਺
    w Ξ΢τΧϜͱͷؔ࿈ΛධՁ͍߲ͨ͠໨͕ෳ਺
    w ൺֱ͍ͨ͠܈͕ͭҎ্
    w ଌఆ࣌఺͕ෳ਺
    w ݕఆํ๏͕ෳ਺
    w αϒάϧʔϓղੳ
31. 1IBDLJOH 33 w ༗ҙʹͳͬͨ݁ՌΛબ୒తʹใࠂ͢Δ͜ͱ
    w ղੳର৅Λগͣͭ͠଍͠ͳ͕ΒݕఆΛ͓͜ͳ͍ɺ
    ༗ҙʹ͍ͨ͠ཁҼ͕༗ҙʹͳͬͨ࣌఺ͰݕఆΛࢭΊΔ
    w ͞·͟·ͳཁҼΛ༻͍ͯݕఆΛ͓͜ͳ͍ɺ༗ҙʹͳͬͨ૊Έ͋ΘͤͷΈΛ ใࠂ͢Δ
    w ༗ҙͳ݁Ռ͕ग़ͳ͚Ε͹ɺใࠂ͠ͳ͍
32. 34 ݕఆΛͨ͘͞Μ͢Δͷ͸
    ໰୊ͩͱΘ͔ͬͨ
33. 35 Ͱ͸ɺͲ͏͢Ε͹ྑ͍ͷʁ
34. w ౷ܭతʹ੍ޚ
    w ߟ͑ํͰ੍ޚ 36
35. 37 ౷ܭతʹ੍ޚ
36. ଟॏੑௐ੔๏ͱ͸ 38 ݕఆΛෳ਺ճ͓͜ͳ͏৔߹ɺճճͷݕఆ͸༗ҙਫ४Ͱ͓͜ͳ͍ͬͯͯ΋ɺ શମͱͯ͠ͷЋΤϥʔ͸ΑΓେ͖͘ͳͬͯ͠·͏ ଟॏੑௐ੔๏ʢNVMUJQMF
    BEKVTUNFOU
    QSPDFEVSFʣ ʮશମͱͯ͠ͷ༗ҙਫ४ʯΛ͋Β͔͡Ίએݴ͓͍ͯͨ͠஋ʢ׳शతʹ͸ʣʹ
    ੍ޚͰ͖ΔΑ͏ʹɺճճͷݕఆʹ͓͚Δ༗ҙਫ४ɾ1஋ɾݕఆॱংΛௐ੔͢Δํ๏
37. ଟॏੑௐ੔๏ͷ֓ཁ 39 ख๏ Ծઆͷॱং ϝϦοτ σϝϦοτ #POGFSSPOJ๏ ͳ͠ ద༻͕؆୯ ЋΤϥʔͷ੍ޚ͕ݫ͗͢͠Δ )PMN๏ ͳ͠ #POGFSSPOJ๏ΑΓݕग़ྗ͕޲্͢Δ ЋΤϥʔͷ੍ޚ͕ݫ͍͠ ֊૚खॱ ͋Γ w ద༻͕؆୯
    w ༏ઌॱҐ͕ߴ͍Ծઆʹରͯ͠ݕग़͠΍͍͢
    ͢΂ͯͷԾઆʹॱং͕ඞཁ ήʔτΩʔϐϯά๏ ͳ͠
    
    ͋Γ )PMN๏ͱ֊૚खॱΛ૊Έ߹Θ͢͜ͱ͕Ͱ͖Δ ˞
    ΋ͬͱ͍Ζ͍Ζ͋Γ·͢
    ˞
    ෼ࢄ෼ੳܥʢ5VLFZ౳ʣ͸ؚΊ͍ͯ·ͤΜ
38. #POGFSSPOJͷํ๏ 40 ᶃ ؔ৺ͷ͋ΔൺֱΛܾΊͯɺݕఆճ਺ʢLʣΛ਺͑Δ
    ᶄ ༗ҙਫ४Λݕఆճ਺ͰׂΔʢЋLʣ
    ᶅ ֤1஋ʹରͯ͠ɺ#POGFSSPOJͷ༗ҙਫ४ʢЋLʣະຬͰ͋Ε͹ɺ౷ܭతʹ༗ҙͱ͢Δ ੺ͷΈ஫໨ˠ ྘ͷΈ஫໨ˠ ͲͷΑ͏ͳൺֱ΍ݕఆʹ΋
    ؆୯ʹద༻Ͱ͖Δ ௐ੔ͨ͠༗ҙਫ४͸ݫ͗͢͠Δ Ξ΢τΧϜ ରর ༀࡎ" ༀࡎ# )POEB
    :
    5BOBLB
    /
    ,BKJXBSB
    :
    ,POEP
    :
    ,BUBPLB
    )
    4BLBNPUP
    +
    FU
    BM
    &⒎FDU
    PG
    CFMU
    FMFDUSPEFTLFMFUBM
    NVTDMF
    FMFDUSJDBM
    TUJNVMBUJPO
    PO
    JNNPCJMJ[BUJPOJOEVDFE
    NVTDMF
    pCSPTJT
    1-P4
    0OF
    
    .BZ
      Fɹͷ'JHVSF
    Λվม
39. Uݕఆͱ#POGFSSPOJͷํ๏ͷൺֱ 41 Uݕఆ #POGFSSPOJͷํ๏ ݕఆ ༗ҙਫ४ 1஋ ༗ҙਫ४
     1஋ ݕఆᶃ     ݕఆᶄ     ݕఆᶅ     ݕఆᶆ     ݕఆᶇ    
40. )PMNͷํ๏ 42 Uݕఆ ݕఆ 1஋ ݕఆᶃ  ݕఆᶄ  ݕఆᶅ  ݕఆᶆ  ݕఆᶇ  Uݕఆ ݕఆ 1஋ ݕఆᶇ  ݕఆᶆ  ݕఆᶅ  ݕఆᶃ  ݕఆᶄ  )PMNͷํ๏ ݕఆ ༗ҙਫ४ 1஋ ݕఆᶇ 
    
      ݕఆᶆ 
    
      ݕఆᶅ 
    
      ݕఆᶃ 
    
      ݕఆᶄ 
    
      σʔλʹج͍ͮͯݕఆͷॱংΛܾΊɺЋΤϥʔΛ੍ޚ͢Δ 1஋Λখ͍͞ॱʹ
    ฒͼସ͑Δ 1஋Λখ͍͞ݕఆ͔Β
    ༗ҙਫ४Λ࢒Γͷݕఆ਺Ͱௐ੔͢Δ ༗ҙʹͳΒͳ͔ͬͨΒ
    ͦ͜Ͱ൑ఆΛࢭΊΔ
41. Uݕఆͱ#POGFSSPOJ๏ͱ)PMN๏ͷൺֱ 43 Uݕఆ #POGFSSPOJͷํ๏ )PMNͷํ๏ ݕఆ ༗ҙਫ४ 1஋ ༗ҙਫ४
     1஋ ༗ҙਫ४ 1஋ ݕఆᶃ       ݕఆᶄ       ݕఆᶅ       ݕఆᶆ       ݕఆᶇ      
42. ֊૚खॱɿԾઆʹࣄલʹॱ൪Λ͚ͭΔ 44 ֊૚खॱʢ)JFSBSDIJDBM
    QSPDFEVSFʣ ओཁධՁ߲໨ ෭࣍ධՁ߲໨" ෭࣍ධՁ߲໨# ༗ҙͳΒ ༗ҙͳΒ ༗ҙͰ
    ͳ͚Ε͹ ༗ҙͰ
    ͳ͚Ε͹ ݕఆऴྃ ݻఆॱংखॱʢ'JYFETFRVFODF
    QSPDFEVSFʣ Ծઆʹରͯ͠ࣄલʹॱংΛఆΊɺ
    ༗ҙʹͳΕ͹ԼҐͷݕఆʹਐΉ ༀࡎ
    WT
    ϓϥηϘ ඓͮ·Γ ඓਫ ͘͠ΌΈ ༗ҙͰ
    ͳ͚Ε͹ ༗ҙͰ
    ͳ͚Ε͹ ݕఆऴྃ ༀࡎ
    WT
    ϓϥηϘ ༗ҙͳΒ ༗ҙͳΒ 8FFL
     8FFL
     8FFL
     ༗ҙͰ
    ͳ͚Ε͹ ༗ҙͰ
    ͳ͚Ε͹ ݕఆऴྃ ༀࡎ
    WT
    ϓϥηϘ ༗ҙͳΒ ༗ҙͳΒ         
43. )PMN๏ͱ֊૚खॱͷൺֱ 45 ֊૚खॱ ඓͮ·Γ ඓਫ ͘͠ΌΈ )PMN๏ ॏཁ౓ɿඓͮ·Γ
    
    ඓਫ
    
    ͘͠ΌΈ ॏཁ౓ɿͭͱ΋ಉ͡ ඓͮ·Γ ඓਫ ͘͠ΌΈ ਿ୩རจ
    
    ৿઒හ඙
     
    ֊૚ߏ଄Խ͞Εͨࢼݧ໨తΛ൐͏ྟচࢼݧͰͷଟॏൺֱ๏
    ܭྔੜ෺ֶ
     
    rɹਤΛվม   ඓͮ·Γ ඓਫ  ͘͠ΌΈ ༏ઌॱҐ͕ͳ͍Ծઆͱɺ༏ઌॱҐ͕͋ΔԾઆΛ૊Έ߹ΘͤΒΕͳ͍ʁ
44. ϑΝϛϦʔʢ'BNJMZʣ 46 ݕఆର৅ͱͳΔؼແԾઆ଒ ͲͷϑΝϛϦ—ʢؼແԾઆ଒ʣʹରͯ͠
    ЋΤϥʔΛ੍ޚ͢Δ͔ʁ w ࣗ਎ͷؔ৺ͰܾΊͯΑ͍
    w ࣄલʹఆΊΔ Ξ΢τΧϜ ରর ༀࡎ" ༀࡎ# )POEB
    :
    5BOBLB
    /
    ,BKJXBSB
    :
    ,POEP
    :
    ,BUBPLB
    )
    4BLBNPUP
    +
    FU
    BM
    &⒎FDU
    PG
    CFMU
    FMFDUSPEFTLFMFUBM
    NVTDMF
    FMFDUSJDBM
    TUJNVMBUJPO
    PO
    JNNPCJMJ[BUJPOJOEVDFE
    NVTDMF
    pCSPTJT
    1-P4
    0OF
    
    .BZ
      Fɹͷ'JHVSF
    Λվม XFFLͷ
    w ରর
    WT
    ༀࡎ"
    w ରর
    WT
    ༀࡎ# XFFLͷ
    w ରর
    WT
    ༀࡎ"
    w ରর
    WT
    ༀࡎ#
45. ήʔτΩʔϐϯά๏ʢ(BUFLFFQJOH
    QSPDFEVSFʣ 47 ඓͮ·Γ ඓਫ  ͘͠ΌΈ ͲͪΒ΋༗ҙͳΒ ͍ͣΕ͔͕ ༗ҙͰ
    ͳ͚Ε͹ ݕఆऴྃ )PMN๏౳ Ћ
    
     Ћ
    
     ϑΝϛϦʔ ௚ྻήʔτΩʔϐϯά 4FSJBM
    HBUF
    LFFQJOH
    QSPDFEVSF ඓͮ·Γ ඓਫ  ͍ͣΕ͔ͲͪΒ΋ ༗ҙͳΒ ͲͪΒ΋
    ༗ҙͰ
    ͳ͚Ε͹ ݕఆऴྃ #POGFSSPOJ Ћ
    
     ͍ͣΕ͔͕༗ҙͳΒ
    ͲͪΒ΋༗ҙͳΒ ϑΝϛϦʔ ฒྻήʔτΩʔϐϯά 4FSJBM
    HBUF
    LFFQJOH
    QSPDFEVSF $PQSJNBSZ
    FOEQPJOU Ћ
    
     Ћ
    
     ͘͠ΌΈ
46. ௚ྻήʔτΩʔϐϯά๏Λద༻ 48 BOE XFFLͷରর܈ͱͷൺֱʢ)PMNʣ XFFLͷରর܈ͱͷൺֱʢ)PMNʣ XFFLͷༀࡎؒͷൺֱ ରর
    WT
    ༀࡎ" ରর
    WT
    ༀࡎ# ͲͪΒ΋༗ҙͳΒ͹ BOE ରর
    WT
    ༀࡎ" ରর
    WT
    ༀࡎ# ͍ͣΕ͔͕
    ༗ҙͰͳ͚Ε͹ ༀࡎ"
    WT
    ༀࡎ# XFFLͷༀࡎؒͷൺֱ ༀࡎ"
    WT
    ༀࡎ# ͲͪΒ΋༗ҙͳΒ͹ ༗ҙͳΒ͹ ͍ͣΕ͔͕
    ༗ҙͰͳ͚Ε͹ ༗ҙͰͳ͚Ε͹ ݕఆऴྃ
47. ࿦จهࡌɿЋΤϥʔͷ੍ޚ 49 w1SJNBSZ
    BOE
    TFDPOEBSZ
    PVUDPNFT
    XFSF
    BOBMZ[FE
    BDDPSEJOH
    UP
    B
    pYFE
    IJFSBSDIJDBM
    UFTUJOH
    QSPDFEVSF
    JO
    UIF
    PSEFS
    QSPWJEFE
    BCPWF
    GPS
    DPOUSPM
    PG
    UIF
    PWFSBMM
    UZQF
    *
    FSSPS
    BU
    
    
    w ओཁධՁ߲໨ͱ෭࣍ධՁ߲໨͸ɺલड़ͨ͠ॱ൪ʹجͮ͘ɺ֊૚खॱͰղੳ͠ɺશମͷλΠϓΤϥʔΛʹ੍ޚͨ͠ɻ
    w5IF
    QSJNBSZ
    PVUDPNF
    XBT
    UIF
    pSTU
    PVUDPNF
    BOBMZ[FE
    JO
    UIF
    IJFSBSDIJDBM
    BOBMZTJT
    
    w ओཁධՁ߲໨͸ɺ֊૚खॱͷҰ൪໨ʹղੳ͞ΕͨΞ΢τΧϜͰ͋ͬͨɻ
    w*G
    UIF
    CFUXFFOHSPVQ
    EJ⒎FSFODF
    JO
    UIF
    QSJNBSZ
    PVUDPNF
    XBT
    OPU
    TJHOJpDBOU
    UIF
    EJ⒎FSFODF
    GPS
    BMM
    TVCTFRVFOU
    PVUDPNFT
    XBT
    DPOTJEFSFE
    UP
    CF
    OPU
    TJHOJpDBOU
    w ओཁධՁ߲໨ͷ܈͕ؒࠩ౷ܭతʹ༗ҙͰͳ͔ͬͨ৔߹ɺͦΕʹଓ͘Ξ΢τΧϜ͸༗ҙͰͳ͍ͱΈͳ͢ɻ #BUFNBO
    3
    +
    4NJUI
    +
    %POPIVF
    .
    $
    %FMNBS
    1
    "CCBT
    3
    4BMMPXBZ
    4
    8PKUPXJD[
    +
    #MFOOPX
    ,
    #JUUOFS
    5
    #MBDL
    4
    &
    ,MFJO
    (
    #PBEB
    .
    (SJNNFS
    5
    5BNBPLB
    "
    1FSSZ
    3
    +
    5VSOFS
    3
    4
    8BUTPO
    %
    8PPEXBSE
    .
    5IBOBTPQPVMPV
    "
    ʜ
    (3"%6"5&
    *
    BOE
    **
    *OWFTUJHBUPST
    BOE
    UIF
    (BOUFOFSVNBC
    4UVEZ
    (SPVQ
     
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48. ࿦จهࡌɿЋΤϥʔͷ੍ޚ 50 w5P
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49. ࿦จهࡌɿЋΤϥʔͷ੍ޚ 51 w5P
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50. 52 ߟ͑ํͰ੍ޚ
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    w ͔͠͠ɺϓϥηϘͱൺֱ͢Δͱࢮ๢཰Λ௿Լͤ͞Δ͚ͩͩͬͨ ͜Ε͸ੜ෺ֶతʹҙຯ͕͋Δͷ͔ʁ w ͲΜͳʹ͕ࠩখͯ͘͞΋ɺ
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52. ݕఆ͔Βਪఆ΁ 54 w ޮՌྔʢฏۉ஋ͷࠩɺϦεΫࠩɺϦεΫൺɺΦοζ ൺʣΛඞͣهࡌ͢Δ
    w 1஋͚ͩͰ͸ͳ͘ɺ৴པ۠ؒ΋هࡌ͢Δ ϓϥηϘͱൺֱͨ͠ͱ͖ɺༀࡎ"౤༩܈Ͱ͸ɺ ݂ѹͷ༗ҙͳ্ঢΛೝΊͨʢ1
    
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54. ࿦จهࡌɿଟॏௐ੔๏Λ࢖Θͳ͍͜ͱͱɺͦͷղऍ 56 w.PEFMT
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56. 2
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    w Կճ΋ݕఆΛ܁Γฦ͢ͷ͸Α͘ͳ͍ͱฉ͚͘Ͳɺͳͥʁ ଟॏੑͷ໰୊ w ଟॏੑͷௐ੔ํ๏
    w #POGFSSPOJɺ)PMNɺ֊૚खॱɺήʔτΩʔϐϯά๏
    w ୳ࡧతͱݕূతΛΘ͚Δ ࿦จهࡌྫ
59. ࢀߟจݙ౳ 61 w ࠤ౻ढ़࠸
    Ӊ஦ոਓ͠·Γ͢ҩྍ౷ܭΛֶͿ
    ݕఆͷר
    ؠ೾ΦϯσϚϯυϒοΫε
    
    ʢढ़࠸ઌੜͷ :PV5VCF΋͓͢͢Ίʂʣ
    w ༄઒ᴲ
    1஋
    ͦͷਖ਼͍͠ཧղͱద༻
    ۙ୅Պֶࣾ
    
    w ࡔרݦଠ࿠
    ࣰ࡚ஐେ
    ੜ෺౷ܭֶͷಓඪ
    ݚڀσβΠϯ͔Β࿦จใࠂ·ͰΛΑΓਂ͘ཧղ͢ΔͨΊͷߨ
    ްੜ ࿑ಇ౷ܭڠձ
    
    w ୮ޙढ़࿠
    দҪໜ೭
    ྟচࢼݧͷࣄయ
    ே૔ॻళ
    
    w Ӭా༃
    㖊ాಓ߂
    ౷ܭతଟॏൺֱ๏ͷجૅ
    αΠΤϯςΟετࣾ
    
    
    w िץҩֶͷ͋ΏΈ
    WPM
    /Pݱ୅ͷྟচݚڀͷͨΊͷ౷ܭֶ
    ҩࣃༀग़൛גࣜձࣾ
    
    w ܦࡁηϛφʔ
    /P
    ಛू
    ܦࡁֶͱ࠶ݱੑ໰୊
    ೔ຊධ࿦ࣾ
    
    w ೔ຊܭྔੜ෺ֶձɽ೥౓ܭྔੜ෺ηϛφʔɽרಛผ߸ɽ
    w ೔ຊ੡ༀ޻ۀڠձ
    ҩༀ඼ධՁҕһձ
    σʔλαΠΤϯε෦ձ
    ೥౓
    λεΫϑΥʔε
    ଟॏੑௐ੔νʔϜྟ চࢼݧʹ͓͚Δଟॏੑͷॾ໰୊ͷݱঢ়ͱࠓޙͷ՝୊ʹ͍ͭͯʔඇ౷ܭՈ޲͚ղઆॻʔ
    ೥݄
    7FS
    
60. ʰݱ୅Ӹֶʱൃച 3