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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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saltcooky
December 06, 2025
Science
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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)
saltcooky
December 06, 2025
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Transcript
4QBUJBM3%%ύοέʔδʹΑΔ ۭؒճؼෆ࿈ଓσβΠϯ 4QBUJBM3FHSFTTJPO%JTDPOUJOVJUZ%FTJHOXJUIUIF4QBUJBM3%%1BDLBHF !TBMUDPPLZ +BQBO3 1
8IP !TBMUDPPLZ • 3ྺɹɹɿ͙Β͍͔ͳ • ۈઌɹɿຊʹ͋Δ*5ܥͷձࣾ • ࣄ༰ɿϚʔέσΟϯά෦ॺͰ4BMFTGPSDF͞Μ • झຯɹɹɿϑΝογϣϯඒज़ؗ८Γ
2
༰ΛҰݴͰ ཧۭؒͷҼՌޮՌΛਪఆ͢Δۭؒճؼෆ࿈ଓσβΠϯͱ ࣮ߦ͢Δ4QBUJBM3%%ύοέʔδΛհ 3
࠷ۙಡΜͩॻ੶ 4
ճؼෆ࿈ଓσβΠϯͱ ݫີͳΧοτΦϑʹΑͬͯհೖͷ༗ແ͕ܾఆ͞ΕΔࡍɺͦͷΧοτΦϑͷڥքͰͷΞτ ΧϜͷෆ࿈ଓͳมԽΛ༻͍Δ͜ͱͰɺհೖͷҼՌޮՌΛਪఆ͢Δ४࣮ݧతͳੳख๏ 5 ೖֶࢼݧಘ ظࢼݧಘ ճؼෆ࿈ଓσβΠϯͷΠϝʔδ ͋ΔಘҎԼͷֶੜʹ ֶशϓϩάϥϜΛ࣮ࢪ͢Δ ᮢલޙͷظಘͷδϟϯϓ͕
ϓϩάϥϜडߨͷޮՌ
ۭؒճؼෆ࿈ଓσβΠϯͱ ۭؒతཧతஅΛ3%%ͷΧοτΦϑͱߟ͑ɺͦͷڥքΛڬΜͩΞτΧϜͷ͔ࠩΒ ཧతͳҼՌޮՌΛਪఆ͢Δख๏ 6 ෆ࿈ଓͱͳΔڥքઢ ॲஔ͕ద༻͞ΕͨΤϦΞ ॲஔ͕ద༻͞Εͳ͔ͬͨΤϦΞ ڥքઢपลͷδϟϯϓ͕ ཧతͳॲஔޮՌ
ۭؒճؼෆ࿈ଓσβΠϯͷద༻ࣄྫ ΞϑϦΧͷࠃڥܾఆʹΑΔൃలӨڹ ݪॅຽͷډॅΤϦΞ͕ࠃڥʹΑΔஅ͞Εͨ߹ʹɺॴଐ͍ͯ͠Δ ࠃͷଐੑͰൃల߹͍͕ͲͷఔҟͳΔͷ͔Λݕূ .JDIBMPQPVMPT1BQBJPBOOPV 5IF2VBSUFSMZ+PVSOBMPG &DPOPNJDT 7 ߑਫϋβʔυΤϦΞͷෆಈ࢈Ձ֨Өڹ ൙ཞةݥΤϦΞͱͦΕҎ֎ͷΤϦΞͰɺͲͷఔෆಈ࢈Ձ͕֨ҟͳΔ
ͷ͔Λੳ )8BOH (FP+PVSOBM
ۭؒճؼෆ࿈ଓσβΠϯͷߟ͑ํ ϕʔγοΫͳํ๏ͱͯ͠ɺ֤ϙΠϯτ͔Βڥքઢ·ͰͷڑΛΧοτΦϑ͕ى͜Δมͱ ͯ͠ɺ3%%Λద༻͢Δํ๏͕͋Δɻ ➡︎ ɿڥքઢ͕͍߹ʹɺڥքઢ͔Βͷڑͷҙຯ͕Ұ༷Ͱͳ͍Մೳੑ͕͋Δ 8 ڥքઢ͔Βͷڑ Ξ τ
Χ Ϝ ڑ ॲஔ ڥք
ۭؒճؼෆ࿈ଓσβΠϯͷผͷߟ͑ํ ڥքΛෳͷηάϝϯτ ϙΠϯτ ʹ͚ͯɺηάϝϯτ͝ͱʹपลྖҬͷใΛ༻͍ͯ ہॴతͳ3%%Λద༻͢Δ͜ͱͰΑ͏ͳํ๏͕ఏҊ͞Ε͍ͯΔɻ 9 ڑ ॲஔ ηάϝϯτॴଐใ ڥք
ηάϝϯτͷ 3%% ηάϝϯτͷ 3%% ηάϝϯτͷ 3%%
4QBUJBM3%%1BDLBHF ۭؒճؼෆ࿈ଓσβΠϯʹΑΔҼՌޮՌͷਪఆΛߦ͏ύοέʔδ Ͱ͖Δ͜ͱ ɾڥքઢ͔Βͷڑܭࢉ ɾҟ࣭ͳ࣏ྍޮՌΛਪఆ ɾϓϥηϘࢼݧʹΑΔଥੑͷ֬ೝ 10
ύοέʔδʹؚ·ΕΔΠϯυΰΞभͷཧσʔλΛར༻ ւ؛ΤϦΞͷҰ෦͕͔Β·ͰϙϧτΨϧ২ຽ౷࣏Ͱ͋ͬͨ͜ͱʹΑΓɺभ͕ΤϦΞʹ໌֬ʹ ͔Ε͍ͯͨɻ২ຽΤϦΞͰɺஉঁؒͷڭҭ֨ࠩʹΑΓஉੑͷࣝࣈ͕ൺֱతߴ͍ঢ়ଶʹͳͬͨɻ 11 ༻σʔλ ϙϧτΨϧྖ Πϯυྖ
ΰΞभશମͷϙϦΰϯɺڥքઢɺॲஔใ͕TGܗࣜͰอଘ͞Ε͍ͯΔɻ UNBQύοέʔδΛ༻͍ͯՄࢹԽ͢Δɻ 12 σʔλͷՄࢹԽ
ΧοτΦϑϥΠϯͱॲஔͷ༗ແΛՄࢹԽɻ 13 σʔλͷՄࢹԽ
ڥքઢͷNݍͷσʔλͱ݁ՌมΛ֬ೝɻ ਅͷॲஔޮՌ ͱͳΔΑ͏ͳʹ݁ՌมͷαϯϓϧΛ༩ 14 σʔλͷՄࢹԽ
SESPCVTUύοέʔδΛ༻͍ͯɺڥքઢ͔ΒͷڑΛ༻͍ͨϊϯύϥϝτϦοΫ ճؼʹΑΔҼՌޮՌͷਪఆΛ࣮ࢪ 15 ௨ৗͷ3%%ͷద༻
ڥքઢΛݸʹηάϝϯτԽͯ͠ɺηάϝϯτ͝ͱͷҼՌޮՌΛਪఆ ➡︎ ଟ͘ͷηάϝϯτͰڥքઢʹΑΔհೖ͕༗ҙͳࠩΛͨΒ͍ͯ͠Δ 16 4QBUJBM3%%ͷద༻ ํ ೆํ ڥքઢͷதԝۙͰ ༗ҙͳ͕ࠩ֬ೝͰ͖ͳ͍
ਪఆ݁Ռͷ݁Ռͷଥੑͷ֬ೝͷͨΊʹɺϓϥηϘͱͳΔڥքઢΛ؆୯ʹੜͰ͖Δɻ ͦͷڥքઢͰॲஔ͕มΘΔͱԾఆͨ͠ޮՌΛਪఆ͢Δɻ 17 ݁Ռͷଥੑͷ֬ೝ ճస γϑτ ֦େॖখ
ϓϥηϘڥքΛ༻͍ͨ߹ͷҼՌޮՌΛਪఆ͢Δͱɺଟ͘ͷηάϝϯτͰ༗ҙੑ Λ࣋ͬͨҼՌޮՌ֬ೝ͞Εͳ͘ͳΔɻ ➡︎ ຊདྷͷڥքʹΑΔॲஔͰͷΈޮՌ͕͋ΔͱߟͰ͖Δ 18 ݎ࿚ੑͷ֬ೝ ڥքઢΛೆʹLN ౦ʹLNʹγϑτͤͨ͞߹ͷ݁Ռ ຊདྷͷڥքઢΛઃఆͨ͠߹ͷਪఆ݁Ռ
ํ ೆํ
2ཧతͳεϐϧΦʔόʔޮՌ ӽڥޮՌ ͕͋Δ߹ʹͲ͏ϞσϦϯά͢Εྑ͍͔ "4QBUJBM3%%ύοέʔδͰɺ໌֬ʹઃఆ͢Δํ๏ఏڙ͞Ε͓ͯΒͣɺ ɹڞมྔͱͯ͠εϐϧΦʔόʔޮՌΛදݱ͢ΔมΛࢦఆ͢ΔͳͲ͕ඞཁͱͳΔɻ 19 ؾʹͳΔ͜ͱ ૿Ճ ݮগ εϐϧΦʔόʔޮՌͷΠϝʔδ
ݝڥ ΨιϦϯͷ ิॿ͕ग़Δݝ ΨιϦϯͷ ิॿ͕ͳ͍ݝ ൢചྔ ਓ͕Ҡಈͯ͠͠·͏
༰ΛҰݴͰ ཧۭؒͷҼՌޮՌΛਪఆ͢Δۭؒճؼෆ࿈ଓσβΠϯͱ ࣮ߦ͢Δ4QBUJBM3%%ύοέʔδΛհ 20
$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 &OKPZ