?캬웕톶 辽쇉宁쓾大듳学톧톧学报놨??????????????????????????????JOURNAL OF LIAONING UNlVERSITY 自ퟔ좻然科뿆学톧黯냦???????????????뷅???Natural sc目前'esEdi阳n第뗚2?岳?뻭卷童在뗚3?篇웚?1?9?99?年쓪????ꎮ?????????????陆31999 e 럖샠뇤솿맘솪탔뗄튻룶펦폃?bf11• Ai分类变量关联性的一个应用?4d iat-›242’ ,,飞，←、丁/ι222 Jf辛荣环.튻???탁죙뮷ꆣ???ꎯ??"203-20b {?쇉辽쓾宁듳大톧学맺医볊苏经뺭济볃学톧院풺.ꎮ짲沈黯퇴1??1?0?03??6)??햪튪놾컄냑뫢솿럖샠뇤솿맘솪탔뗄랽램펦폃폚첨럧놩폪맽돌뗄틲ퟓ럖컶ꎮ뷸뛸뛔놩폪??prsJ，?左手搞要本文把富量分类变量关联性的方法应用于台风暴黯过程的因子分析，进而对暴酒 -/ 过맽程돌进뷸行탐颈풤报놨.ꎮ?关맘键볼词듊分럖类샠变뇤量솿sꎻ关맘在솪性탔?ꆪꆪꆪꆪꆪꆢ?ꆪꆪ튻??럖샠뇤솿뗄맘솪탔?2?元ꎬ军ퟗ琦쯔是在?2且풰乡2뿷苟튰?1 分类变量的关联住> 文컄献쿗(?1?)?借뷨助훺于폚信탅息쾢论싛中훐的뗄"ꆰ烦ꆱ"쳡提돶出쇋了튻一훖种뫢衡솿量럖分샠类뇤变솿量볤闯맘关솪联탔住的뗄方랽法램zꎺ若죴F?뿉可?以틔쫇是쒳某짌商店뗪瘟맍员풱的뗄受쫜教뷌育폽쮮水욽乎?.?5可뿉以틔是쫇雇맍员풱的뗄性탔别뇰等뗈ꎮ.?F有폐类샠到뇰〈?范랶畴돫或믲水쮮平욽}?矶?，?ꎬ凡?，?ꎬ?…ꆭ?凡;ꎻ?5有폐类샠~뇰JS?I?ꎬ，?52?'ꎬ…ꆭ5?，?.ꎮ?称돆????H(?F?)? =?튻-:?E?P(?F;)?l?o雪??(?P(??F，?))?????(1) 为캪F?的뗄뇤变异틬性탔(?V，缸?ia?hi?l?it?y)?其웤中훐P?(?F?;?)?뇭表示쪾类샠뇰~J?F，뗄的쿠梧뛔对频욵率싊{?或믲翻룅率싊的뗄估맀计볆).?ꎮ?称돆?凯??F?ꎬJ?〉??=-튻pꎻ?(?具，ꎬ?早??1?鸣?[??P(?几?乓ꎬ?))????(2?)? 为캪F?与폫s?的뗄联솪合뫏变뇤异틬性탔.ꎮ?称돆?H?(?F?I?S?=?S1??)?为캪当떱?S=?与?ꎮ对쪱F?的뗄条쳵件볾变뇤异틬性탔.ꎮ?称돆?H쏳,(?F?)? ?= E?.?(?H[?F?I? ?SJ??)캪为F?뗄的相쿠뛔对于폚S?的뗄욫偏变뇤异틬性탔(?P?a?r?t?i?a1?V?缸??i?ab?i?l?it?y)?.H?(? ?F)?实쪵际볊?上짏为캪F?关맘于폚S?的뗄条쳵件볾变뇤异틬性탔平욽均뻹值횵，?令쇮??T(?F?:ꎺ?S)? =? H?(?F?)? -튻맚H.?(F?)?,ꎮ? ?(3?)? 于폚쫇是有폐?H(?F?.ꎬ?S)?튻-H?(?S?)?=?맚尺?(F?)?矗ꎮ?(?3?ꆯ’ ?) 故맊??T(?F?:ꎺS??)=? H?(?F?)? +? ?H(?S?)? -튻?H(?F?,ꎮ S??).ꎮ? ?(4?)? 显쿔然좻?T?(?F?:ꎺS??)=? T?(?S?ꎺ:F?)?.ꎮ? ?(5?)? 令쇮M?F??S?=?ZLE王L??H(F) -H.(F2=?1?一??旦旦2ꎮ?(?6?)? FS -H(F) -H(F) -. H(F)’ ·ꆣ辛룇荣?耳，玄잰，뒬1966?年出生，硕士.租司UI期1998引22틃쪿?
캬웕톶 ?2?0?4? 쇉辽쓾宁듳大톧学톧学놨报?ퟔE좻然뿆科톧学냦极??19?目쓪年第뗚?3웚戴??T(??F:ꎺS?)?펦应샭理뷢解为캪?F폫与?5뗄的듦存퓚在쒳某矜훖关맘系쾵的뗄关맘联솪率싊，ꎬ쓇那쒩末?MF?S펦应샭理뷢解캪为?F폫与?S뗄的맘关?솪联돌程뛈度(?샠类쯆似폚于믘回맩归럖分컶桥훐中뗄的?r~?y?=?主?=1?튻?其)?:ꎺ죴若?F폫与?S춳统볆计独뛀立솢，ꎬ퓲则?Hs?(??F)??=? Lyy .Loyy ?H(?F?)?.ꎬ?MF?S?=ꎺO?õꎻ죴若?F폫与?S횮之中훐任죎何뫎一튻量솿可뿉以틔预풤测닢另쇭一튻量솿，ꎬ듋此쪱时?H，?(?F)??=0?믲或?H?F(?S?)?ꎺ=? ?白ꎮ，쓇那쎴么?M??=l?.ꎮ듓从뛸而뿉可知횪。?ꇜ';;?;M?F?Sꇜ’;;;? 1ꎮ.쿔显좻然?MF?S?폫与?MS뿚F늻不뗈等-ꎮ컒我쏇们돆称?FS????ꎺ?H(F웷)M陌?+H(白MSF且.f(F，S) = --"'"""-r:í-;'~..;I. T-r-/’-;..J.. ..- ._-=-?(7?) H(F)+H(S) 캪为?F폫与?s뗄的릲共变뇤性탔系쾵数쫽(??o?，.?v?ar?i?a?bi?l?it?y??∞??e?f?f?ic?ie?n?心?，ꎮ?쿔显좻然?lꆣ'??M(?Fꆤꎮ，?S?)=?M(?Sꎬ?，F)?=ꎺT?냙T;쿹主쓾웕(?F:?圣上一?냙2主?웕i?豆:?F)一?(8?) H(F) + H(S) -H(F) +H(S) ?2?’ ?Oꇜ’;?;;M??(Fꎮ.?S)?’ꇜ;;?;lꎻ;? ?3?’ ?F폫与?s춳统볆计뛀独솢立맇辑?M?仔?，ꎮ?到??=0?ꎬ，??F폫与?S웤其훐中튻一룶个솿量뿉可由평쇭另튻一룶个솿量뗄的횪知쪶识풤预닢测룊回?M(?F?ꎬ，?S)??=?Lꎮ?헢这퇹样?M(?F?.ꎮ到??完췪全좫描쏨述쫶了쇋?F폫与?S뗄的关맘联솪程돌度뛈.ꎮ?뮹还可뿉以틔把냑上짏述쫶各룷量솿推췆广맣到떽多뛠于폚两솽个룶分럖类샠变뇤量솿上짏去좥.如ꎺ죧町?，?ꎮ冉?，?ꎬ…ꆭꎮ，?x.캪为?n룶个럖分类샠变뇤?솿量，ꎬ쓇那쎴么?ꆯ??了?(?x?，ꎺ??ꎺꆭꎺ??ꇷ????튻????ꎬ??ꎬꆭꎬ???(?9?) x2 : x.) ~ 2. H(x,) -H(x\>日，…，IIII) 평由?(?9)?式쪽可뿉定뚨义틥??ꆫ??샶?T(x, X2?…?x组}IJY..l:，ct1飞H(x，)+ H(X2) + + H(x._,) T(x, : X2…:凡)튻?죽?삼???ꎺꎺ?삼?튻IJl’J....-"l3...".z:t -?H(?X?2?)? ?+ ?H(?X?3?)? ?+ ꆭ+ ??H(?乌}1??T(X1 : X2 ...: x.) ꆣꎬ?????ꎺ??ꎺꆭꎺ????mzfaꎮ?za 냙H(?x.뚡) +? H(?x,)? + + H(x._.) 那쓇末쒩?Mꆣꎬ???????ꆭ?????튻???????????튻??,?_ _ ... _ , = 1H(Xl) + + H(x._n) . γ.. IIII司，→(%?,,ꆤ?%?,..ꆫ...ꆤxꆮ.)? = ?[웏H(?x,) + H(X2) + + 폪H(?x._,)) ????튻 [??H(?X?2?)? ?+? ꆭ?+ H??(x??.)?)? ꆤ M?.?r?"ꆭ’?x?.x,? +? 튻 ?2 ?튻?+ ?[?H?(x?.)? +? ?H(?x?,)? +? ꆭ+? H?(?x??.)?)? ?+? [??H(?x?,?)? ?+? ꆭ+? H?(?x?.?)? +? H?(?x,?)?)? .? M??土'??x.?…ꆭ?，?与?+?→뚷?ꆭ +? (??H(?x.)? ?+ H?(?x,?)? +? 짫 ??튻 (??H(?x??.)? +? ꆭ+? H?(?x到튻1?月???..?.Mx?;a?Il? ꆣꆰ?Xn튻-l? + H(.T._,)) 整헻理샭后뫳，ꎬ有폐???ꆭꆤ?、?T(x，: 믉X2 : x踵}具.f(Xl，X2 x.) = (10) l’ ....2.’ ’....111/ -(绍-l)[H(x，)+? +쟠 H(?x.)) ꋩ?
?캬웕톶 作ퟷ者뾴z辛ꎺ탁荣샵环뮷分럖类샠变뇤量솿关맘联솪性탔的뗄一튻个룶应펦愿폃?2?0?5? ?돆????횮?????ꆭ??캪??ꎬ??ꎬꆭꎬ?뗄릲뇤탔쾵쫽称(10)之M(X(X2"'Xn)为Xl'X2" , x.的共变性系数ꎮ?뛸돆?商称??ꆱ???世쎫T?(x탁"뾴x.) M(xμx.} = rT~一一一•-，，一?为캪?z与폫z?部뗄边뇟缘풵(?mar?gi?na?l)?共릲变뇤注탔系쾵数쫽，ꎬ其웤中훐?g弓ꇙi=(x,} +H(午才i -,J .k} ?ꎮ??2 台첨风럧暴놩雨폪过맽程돌囡틲子ퟓ闰볤关맘联솪住탔讨쳖诠싛?첨럧놩폪맽돌틲ퟓ톡퓱쇋?룶ꎬ퇹놾죝솿????ꎬ퇹놾쇐뇭죧뇭?台风暴商过程因子选择了4个，样本容量η=纱，律本列表如表1.ꎮ其웤中훐?x]为캪台첨风럧转?内쿲纬캳度뛈预풤报놨值횵;ꎻX?2?为캪台첨风럧转向쿲经뺭度뛈预풤报놨筐횵，ꎻ?均?为캪台첨风럧转向?쿲黯슷径뺶与폫3?8?'ꆣ?N交붻点뗣3ꎻ岛??为캪西컷风럧?닛캻좡닛쿟??ꆣ?붻뗣뺭뛈ꎻ?캪폐컞놩폪ꎬ웤뻟쳥맦뚨쟫닎퓄??槽位取槽线箱'N交点经度'y为有无暴雨，其具体规定请参离(2)뺭볆쯣?经计算????ꎬ?????ꎮ?????鸟{(x"???ꎬ?????ꎮ?????x,) = 0 0096 M(:"M(x(.x.)= ,. x,) = ?????????ꎮ??????????ꎮ?????ꎮ?????M(品?{(??x?"ꎬ?x，?)?=?0?.2ꎮ?3?2?7??品?{(?x?2?，ꎬx?.?)?=?0?.0ꎮ?0?1?2(Yl’ x.} = ?????ꎬ?????ꎮ?????M(y???ꎬ?????ꎮ?????, X2) = 共{(X3'x.) = 鸟?{(?y?.ꎮ?x，?)?=?O?.ꎮ岳?0?3?4?????ꎬ?????ꎮ?????具{(y，x.)= M?(?y?，ꎬ町??.?x?2?)?=?0?.ꎮ1?7?白????真?{(?y?.ꎬx?(?,ꎬ x?β??=?0?.ꎮ4?0?岳?7?????ꎮ??ꎬ?????ꎮ?????品{(. ???ꎬ??ꎬ?????ꎮ?????x.) = O. 2451 真{(y，X20 x,) = O. 4367 鸟?.f(?Y?"ꎬX?:?bꎮ X?ρ??=0?.?2ꎮ?2?9?8? ????ꎮ??ꎬ?????ꎮ?????具{(,. x.) = O. 4488 M?(?y?，ꎬ町??，?X?2?.ꎬ?x????ꎮ?????,) = O. 3660 M?(?y?,ꎬ ?X2?’ꎬ? X"? ꎬx?.?)? =? O??. ?????430串???ꎬ??具{(y，X,ꎮ ?x"ꎬ ꎬx?.?)? =? O?.ꎬ 4?0?9?9? 具ꎮ?{(??y，ꎬ?x???ꎬ?????ꎮ?????,. X2. x.) = 쮥?첨럧놩폪맽돌풰ퟓ컊맘솪탔쮥?寝1台风暴需过程雹子向美联佳寝2'"ζ.rl~33 112运x，运125XJ<l28 x.ζ1I2 y-实际有判哥哥有无撞号3售1否则为o为1否Jru为o为1否路e3甘1否J!lO无暴雨暴薄有有无有有有无有害无无有有有有王无有有苦有2G苦无苦无无有有无有无无无22345EZNHnu回到无有有无有266z1z82i-2国-3国z22且l1i4-写-国25苟82且自92Z96E5’0iizE3zO8-9iG3I7 §E390 C8z5z2-I8IZ7EO2-5-z2 i181100112181iiie 1II12111EI1G2E2e-816110iz0l1 262 忌 'Anuw''4··Anw126电51到. 且且扭扭坦且 岳128.主789MU雹&皇 JVJVJV ‘，乱咽 anu"' 2232taEnnHHZ129、7口 H眩H目 白 且应 豆 ηmmm坦白扫而G且 豆豆笃笃 131).1
캬웕톶 2?0?6? ?辽쇉宁쓾大듳学톧学톧报놨?自ퟔ횩然科?学服냦?1?99?9?年쓪第뗚2?期웚?从듓而뛸可뿉看뾴出돶?y与폫町??，ꎬ?向?豹뗄M?(?y?，ꎬx?,?)? =? 0?.ꎮ6?0?3?4?,ꎬ M?(?y?，ꎬ副?)??=? 0?.ꎮ2?7?4?毡?，ꎬM?句??，ꎬ?，x3?'ꎬX?4?)?=? ?0?.ꎮ4?4?8?8?，ꎬ쟒且M?(?y?，ꎬ?x"? ꎬ?x"? ꎬx?.?)? =? 0?.ꎮ4?3?0?8?.ꎮ故맊可뿉银룹据뻝句?，?ꎬ?句?，ꎮ?冉?的뗄实쪵际볊值횵对뛔?y-튻有폐无컞暴놩雨폪徽ퟶ?预풤报놨·ꎺ쫗蓄쿈先뾼考싇虑?町?，ꎬ웤其듎次닎参뾼考?句，ꎮ컞无램法에判뚨定퓙再参닎考뾼?x，?.ꎮ具뻟体쳥如죧1?号뫅样퇹本놾町?为?캪1，?ꎬ再퓙看뾴?Q亦틠为캪1?，ꎮ뮹还튪要看뾴?x，?而뛸为캪0?，ꎬ맊故풤预놨报컞无놩暴雨폪eꎮ对뛔1?9?个룶样퇹本놾均뻹画믘报놨，ꎬ웤其믘回놨报뷡结맻果列쇐表뇭1?最ퟮ后뫳一튻?到쇐.ꎮ믘回놨报正헽确좷1?岳?듎次，ꎮ샺历쪷史룅概括삨率싊为캪在?4?%ꎥ.ꎮ接내上짏述쫶办냬法램，ꎬ볆计算쯣量솿并늢未캴堪퓶刻볓，ꎬ应펦用폃简볲便뇣，ꎬ뺫精뛈度并늢?不늻减복少짙.ꎮ?参닎考뾼文컄章置쿗????ꎮ?ꎮ?ꎮ??????????????ꎮ?ꎮ??ꋼ?????????????ꎮ??????????????????????????????????????????1 官hamse8I去与mmer坦VanBueren，眩目surincrelat.爸出国sin multiv，皿nates归国医凰?????1978 2? 辽쇉宁쓾省쪡气웸象쿳研퇐究뺿厨쯹辽宁쇉大쓾学듳数톧学쫽系톧，쾵北ꎬ놱上짏台风첨与럧西폫北컷风놱槽럧结닛合뷡暴뫏董놩事폪过맽程돌蜜풤报놨.ꎮ台첨风럧会믡议틩文컄集벯，ꎮ1?9??76????????????????????????????????????????????????????????Application of the Depend钮.cyof Classifying Variable ?????????????XIN Rongbuan C??d?l?e?g?e? ?o?ꎬf l?n?t?er?n?a?t? ?o?n?a?l?? E?c?o??no?m?i?c?s?,ꎬ ?Lì?a?o?n?i?η?g? ?U?n?i?-?v?e?r?s?ily,ꎬ S?h?e?n??y?an??g? 1?1?0?0?3?6? ?A?B?S??T?RA??C?τ ?A?? m?e??th??od?? ??????????????????????????????????????????????????????????????for judging tbe dep四rlencyof classifying vari必le胃国appliedto ???????????????????????????????????????????????????????????????????????????????ꎮ?analyzing fac阳IS回typh∞E缸drains阳rn1pro自由tobI<到.d国stthe rainstorrn p自由坦·???????????????????????????ꎮ???????????KEY WORDS classifying variab元，d哥哥世四cy.
