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SpatialRDDパッケージによる空間回帰不連続デザイン

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December 06, 2025
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 SpatialRDDパッケージによる空間回帰不連続デザイン

JapanR 2025 LT (2025/12/06)

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saltcooky

December 06, 2025
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Transcript

  1. 4QBUJBM3%%ύοέʔδʹΑΔ ۭؒճؼෆ࿈ଓσβΠϯ 4QBUJBM3FHSFTTJPO%JTDPOUJOVJUZ%FTJHOXJUIUIF4QBUJBM3%%1BDLBHF !TBMUDPPLZ +BQBO3 1

  2. 8IP !TBMUDPPLZ • 3ྺɹɹɿ೥͙Β͍͔ͳ • ۈ຿ઌɹɿ࿡ຊ໦ʹ͋Δ*5ܥͷձࣾ • ࢓ࣄ಺༰ɿϚʔέσΟϯά෦ॺͰ4BMFTGPSDF԰͞Μ • झຯɹɹɿ෰ϑΝογϣϯඒज़ؗ८Γ

    2

  3. ಺༰ΛҰݴͰ ஍ཧۭؒͷҼՌޮՌΛਪఆ͢Δۭؒճؼෆ࿈ଓσβΠϯͱ ࣮ߦ͢Δ4QBUJBM3%%ύοέʔδΛ঺հ 3

  4. ࠷ۙಡΜͩॻ੶ 4

  5. ճؼෆ࿈ଓσβΠϯͱ͸ ݫີͳΧοτΦϑʹΑͬͯհೖͷ༗ແ͕ܾఆ͞ΕΔࡍɺͦͷΧοτΦϑͷڥքͰͷΞ΢τ ΧϜͷෆ࿈ଓͳมԽΛ༻͍Δ͜ͱͰɺհೖͷҼՌޮՌΛਪఆ͢Δ४࣮ݧతͳ෼ੳख๏ 5 ೖֶࢼݧಘ఺ ظ຤ࢼݧಘ఺ ճؼෆ࿈ଓσβΠϯͷΠϝʔδ ͋Δಘ఺ҎԼͷֶੜʹ ֶशϓϩάϥϜΛ࣮ࢪ͢Δ ᮢ஋લޙͷظ଴ಘ఺ͷδϟϯϓ͕

    ϓϩάϥϜडߨͷޮՌ

  6. ۭؒճؼෆ࿈ଓσβΠϯͱ͸ ۭؒత஍ཧత෼அΛ3%%ͷΧοτΦϑͱߟ͑ɺͦͷڥքΛڬΜͩΞ΢τΧϜͷ͔ࠩΒ ஍ཧతͳҼՌޮՌΛਪఆ͢Δख๏ 6 ෆ࿈ଓͱͳΔڥքઢ ॲஔ͕ద༻͞ΕͨΤϦΞ ॲஔ͕ద༻͞Εͳ͔ͬͨΤϦΞ ڥքઢपลͷδϟϯϓ͕ ஍ཧతͳॲஔޮՌ

  7. ۭؒճؼෆ࿈ଓσβΠϯͷద༻ࣄྫ ΞϑϦΧͷࠃڥܾఆʹΑΔൃలӨڹ ݪॅຽ଒ͷډॅΤϦΞ͕ࠃڥʹΑΔ෼அ͞Εͨ৔߹ʹɺॴଐ͍ͯ͠Δ ࠃͷଐੑͰൃల౓߹͍͕Ͳͷఔ౓ҟͳΔͷ͔Λݕূ .JDIBMPQPVMPT1BQBJPBOOPV 5IF2VBSUFSMZ+PVSOBMPG &DPOPNJDT 7 ߑਫϋβʔυΤϦΞͷෆಈ࢈Ձ֨Өڹ ൙ཞةݥΤϦΞͱͦΕҎ֎ͷΤϦΞͰɺͲͷఔ౓ෆಈ࢈Ձ͕֨ҟͳΔ

    ͷ͔Λ෼ੳ )8BOH (FP+PVSOBM

  8. ۭؒճؼෆ࿈ଓσβΠϯͷߟ͑ํ ϕʔγοΫͳํ๏ͱͯ͠ɺ֤ϙΠϯτ͔Βڥքઢ·Ͱͷڑ཭ΛΧοτΦϑ͕ى͜Δม਺ͱ ͯ͠ɺ3%%Λద༻͢Δํ๏͕͋Δɻ ➡︎ ໰୊఺ɿڥքઢ͕௕͍৔߹ʹɺڥքઢ͔Βͷڑ཭ͷҙຯ͕Ұ༷Ͱ͸ͳ͍Մೳੑ͕͋Δ 8 ڥքઢ͔Βͷڑ཭ Ξ ΢ τ

    Χ Ϝ ڑ཭ ॲஔ ڥք஋

  9. ۭؒճؼෆ࿈ଓσβΠϯͷผͷߟ͑ํ ڥքΛෳ਺ͷηάϝϯτ ϙΠϯτ ʹ෼͚ͯɺηάϝϯτ͝ͱʹपลྖҬͷ৘ใΛ༻͍ͯ ہॴతͳ3%%Λద༻͢Δ͜ͱͰΑ͏ͳํ๏͕ఏҊ͞Ε͍ͯΔɻ 9 ڑ཭ ॲஔ ηάϝϯτॴଐ৘ใ ڥք஋

    ηάϝϯτͷ 3%% ηάϝϯτͷ 3%% ηάϝϯτͷ 3%%

  10. 4QBUJBM3%%1BDLBHF ۭؒճؼෆ࿈ଓσβΠϯʹΑΔҼՌޮՌͷਪఆΛߦ͏ύοέʔδ    Ͱ͖Δ͜ͱ ɾڥքઢ͔Βͷڑ཭ܭࢉ ɾҟ࣭ͳ࣏ྍޮՌΛਪఆ ɾϓϥηϘࢼݧʹΑΔଥ౰ੑͷ֬ೝ 10

  11. ύοέʔδʹؚ·ΕΔΠϯυΰΞभͷ஍ཧσʔλΛར༻ ւ؛ΤϦΞͷҰ෦͕೥͔Β೥·ͰϙϧτΨϧ২ຽ஍౷࣏Ͱ͋ͬͨ͜ͱʹΑΓɺभ಺͕ΤϦΞʹ໌֬ʹ෼ ͔Ε͍ͯͨɻ২ຽ஍ΤϦΞͰ͸ɺஉঁؒͷڭҭ֨ࠩʹΑΓஉੑͷࣝࣈ཰͕ൺֱతߴ͍ঢ়ଶʹͳͬͨɻ 11 ࢖༻σʔλ ϙϧτΨϧྖ Πϯυྖ

  12. ΰΞभશମͷϙϦΰϯɺڥքઢɺॲஔ৘ใ͕TGܗࣜͰอଘ͞Ε͍ͯΔɻ UNBQύοέʔδΛ༻͍ͯՄࢹԽ͢Δɻ 12 σʔλͷՄࢹԽ

  13. ΧοτΦϑϥΠϯͱॲஔͷ༗ແΛՄࢹԽɻ 13 σʔλͷՄࢹԽ

  14. ڥքઢͷNݍ಺ͷσʔλ఺ͱ݁Ռม਺Λ֬ೝɻ ਅͷॲஔޮՌ͸ ͱͳΔΑ͏ͳʹ݁Ռม਺ͷαϯϓϧ஋Λ෇༩ 14 σʔλͷՄࢹԽ

  15. SESPCVTUύοέʔδΛ༻͍ͯɺڥքઢ͔Βͷڑ཭Λ༻͍ͨϊϯύϥϝτϦοΫ ճؼʹΑΔҼՌޮՌͷਪఆΛ࣮ࢪ 15 ௨ৗͷ3%%ͷద༻

  16. ڥքઢΛݸʹηάϝϯτԽͯ͠ɺηάϝϯτ͝ͱͷҼՌޮՌΛਪఆ ➡︎ ଟ͘ͷηάϝϯτͰڥքઢʹΑΔհೖ͕༗ҙͳࠩΛ΋ͨΒ͍ͯ͠Δ 16 4QBUJBM3%%ͷద༻ ๺ํ޲ ೆํ޲ ڥքઢͷதԝ෇ۙͰ ༗ҙͳ͕ࠩ֬ೝͰ͖ͳ͍

  17. ਪఆ݁Ռͷ݁Ռͷଥ౰ੑͷ֬ೝͷͨΊʹɺϓϥηϘͱͳΔڥքઢΛ؆୯ʹੜ੒Ͱ͖Δɻ ͦͷڥքઢͰॲஔ͕มΘΔͱԾఆͨ͠ޮՌΛਪఆ͢Δɻ 17 ݁Ռͷଥ౰ੑͷ֬ೝ ճస γϑτ ֦େॖখ

  18. ϓϥηϘڥքΛ༻͍ͨ৔߹ͷҼՌޮՌΛਪఆ͢Δͱɺଟ͘ͷηάϝϯτͰ༗ҙੑ Λ࣋ͬͨҼՌޮՌ͸֬ೝ͞Εͳ͘ͳΔɻ  ➡︎ ຊདྷͷڥքʹΑΔॲஔͰͷΈޮՌ͕͋Δͱߟ࡯Ͱ͖Δ 18 ݎ࿚ੑͷ֬ೝ ڥքઢΛೆʹLN ౦ʹLNʹγϑτͤͨ͞৔߹ͷ݁Ռ ຊདྷͷڥքઢΛઃఆͨ͠৔߹ͷਪఆ݁Ռ

    ๺ํ޲ ೆํ޲

  19. 2஍ཧతͳεϐϧΦʔόʔޮՌ ӽڥޮՌ ͕͋Δ৔߹ʹͲ͏ϞσϦϯά͢Ε͹ྑ͍͔ "4QBUJBM3%%ύοέʔδͰ͸ɺ໌֬ʹઃఆ͢Δํ๏͸ఏڙ͞Ε͓ͯΒͣɺ ɹڞมྔͱͯ͠εϐϧΦʔόʔޮՌΛදݱ͢Δม਺Λࢦఆ͢ΔͳͲ͕ඞཁͱͳΔɻ 19 ؾʹͳΔ͜ͱ ૿Ճ ݮগ εϐϧΦʔόʔޮՌͷΠϝʔδ

    ݝڥ ΨιϦϯ୅ͷ ิॿ͕ग़Δݝ ΨιϦϯ୅ͷ ิॿ͕ͳ͍ݝ ൢചྔ ਓ͕Ҡಈͯ͠͠·͏

  20. ಺༰ΛҰݴͰ ஍ཧۭؒͷҼՌޮՌΛਪఆ͢Δۭؒճؼෆ࿈ଓσβΠϯͱ ࣮ߦ͢Δ4QBUJBM3%%ύοέʔδΛ঺հ 20

  21.  $POEVDU.VMUJQMF5ZQFTPG(FPHSBQIJD3FHSFTTJPO%JTDPOUJOVJUZ%FTJHOTw 4QBUJBM3%% IUUQTBYMFIOFSHJUIVCJP4QBUJBM3%%  4QBUJBM3%%HFUTUBSUFE IUUQTDSBOSQSPKFDUPSHXFCQBDLBHFT4QBUJBM3%%WJHOFUUFTTQBUJBMSEE@WJHOFUUFIUNM  4QBUJBM3%%ۭؒճؼෆ࿈ଓσβΠϯ 8PSME#BOL#MPHTΑΓ

    .BCVIBZ IUUQTQIKQVQMCLVIBUFOBCMPHDPNFOUSZ  3%%QSBDUJDF IUUQTSQVCTDPN3ZPIFJ ࢀߟ 21

  22. &/% 22 &OKPZ