重慶工商大學數(shù)學與統(tǒng)計學院《綜合評價方法》實驗報告實驗課程：綜合評價方法指導教師：—專業(yè)班級：學生姓名：_學生學號：

實驗報告實驗項目綜合評價方法及應用實驗日期2013-6-8實驗地點80806實驗目的1、 掌握綜合評價指標體系建立的操作技術(shù)和技能；掌握綜合評價指標體系的定性分析和定量分析方法的實際應用2、 通過本實驗本要求學生掌握綜合評價指標體系中各個指標重要性權(quán)數(shù)的重要意義；掌握權(quán)數(shù)確定的定性和定量技術(shù)和技能；解決實際綜合評價中重要性權(quán)數(shù)確定的處理技能。3、 通過本實驗要求學生掌握各種綜合評價的綜合方法實際應用和計算過程；掌握各種綜合評價方法的特點和不足。實驗內(nèi)容根據(jù)實驗所給的數(shù)據(jù)資料，選取所需的綜合評價方法分析重慶市各區(qū)縣的社會發(fā)展狀況，并提出相關(guān)的建議。實驗過程及結(jié)果:一、數(shù)據(jù)的初步處理:1、在原始數(shù)據(jù)中選出重慶市各區(qū)縣2003的數(shù)據(jù)。并作整理，部分結(jié)果顯示如下:區(qū)縣人口出生￡每萬人擁;人均圖書4在校中小巴每萬人擁有專業(yè)技術(shù)人員數(shù)（人城鎮(zhèn)居民,農(nóng)村居或在崗職工3農(nóng)村居民/農(nóng)村改水］重慶市9.585019140.2593.8223.3741重慶市25.7231.4512440221590.43萬州區(qū)11.1363416.225490.12383896216.4763萬州區(qū)22.5132.510389192574.68涪陵區(qū)8.06895716.802140.34280390.1280.0555涪陵區(qū)25.9333.311896215399.89渝中區(qū)4.89921348.803764.50073295.3874.4899渝中區(qū)23.0823.08154931549399.89大渡口匚7.00478720.644910.17931695.8475.58大渡口［24.5941.316984338292.2江北區(qū)7.69607425.147980.17917198.3437.1781江北區(qū)24.8531.315042335699.73沙坪壩E7.07303815.684150.20784193338.7221沙坪壩［19.9235.315154333499.19九龍坡匚7.73688720.336930.13780498.2579.3107九龍坡匚23.542.713696335698.47南岸區(qū)7.11773218.537570.05497391.8415.3726南岸區(qū)25.533714051347599.58北碇區(qū)6.06495115.679981.2421693.3289.7965北碇區(qū)19.8833.912947287599.7萬盛區(qū)8.4304315.059020.17953292.7205.6166萬盛區(qū)13.735.89067264599.08雙橋區(qū)12.4716812.173910.07065292.7441.5217雙橋區(qū)27.923815174286999.58渝北區(qū)10.722299.7092290.19558894.3204.6903渝北區(qū)46.3536.913071277795.88巴南區(qū)7.53109814.487280.11606792.7213.6684巴南區(qū)16.9833.811297271599.97黔江區(qū)13.61749.4647370.19526896183.7354黔江區(qū)35.12913747171653.49長壽區(qū)8.8778313.169550.12350798.4187.2735長壽區(qū)26.2639.512570267999.34暴江縣8.83980712.495510.08440194.4192.0886秦江縣21.929.410487247399.44潼南縣9.3034229.5131820.10880296.9127.4376潼南縣24.52911006244298.94銅梁縣6.27767117.064070.10626492.7184.3633銅梁縣38.53379422286799.59大足縣6.1583798.8665450.11621896137.1899大足縣21.0134.49906275276.17榮昌縣10.3419414.318420.13302791.4195.5732榮昌縣34.5629.19361268899.94璧山縣6.75237811.950550.11773997.2174.2739璧山縣38.6634.512143287599.84梁平縣8.7262949.2826420.02710692.7131.1641梁平縣15.3336.910478213576.08城口縣9.43691313.118940.01783671201.1741城口縣25.562610974156947.54豐都縣13.292767.5268820.06144482.6129.1398豐都縣32.613210953192596.08墊江縣13.7503910.326090.04378492.7143.8995墊江縣21.937.211163222398武隆縣10.5724311.806540.20540595.7168.6486武隆縣26.2532.78774194281.69忠縣8.78005911.031080.03934992.7164.906忠卜縣18.2330.610180192987.02開縣14.3485311.675560.15625198.9112.2266開縣37.8734.59030185193.78云陽縣11.5658310.361680.03152894.2148.4262云陽縣20.9931.89205168481.46奉節(jié)縣11.408856.5214890.08411192.8121.2236奉節(jié)縣30.9726.510057159092.27巫山縣12.327217.6450780.00990397.349.79204巫山縣33.0129.29628158592.19巫溪縣8.6094728.3407470.04589694.3141.3923巫溪縣20.5428.88339148576.57石柱縣12.1657911.964450.11390289.8113.4913石柱縣26.5331.89745158661.21二、指標賦權(quán)指標的重要性賦權(quán)就是指對于評價指標體系中的各個指標進行綜合評價時，各個指標對于研究目的的影響程度是不同的。這種不同體現(xiàn)為重要性，將這種重要性以數(shù)量值反應出來稱為賦權(quán)。確定權(quán)數(shù)的方法有很多，但從大范圍上看，可以分為兩大類：主觀賦權(quán)法和可觀賦權(quán)法。根據(jù)本實驗

數(shù)據(jù)的特性和便利性，本實驗采用客觀賦權(quán)法中的變異系數(shù)法和熵值法。1、變異系數(shù)法變異系數(shù)方法是指根據(jù)各個評價指標數(shù)值的變異程度來確定評價指標權(quán)數(shù)值的方法。步驟：將數(shù)據(jù)輸入excel中，對每一項指標求平均數(shù)（average）、標準差（stdev），變異系數(shù)=標準差/平均數(shù)，得到變異系數(shù)的值以后再對變異系數(shù)進行歸一化處理，即變異系數(shù)權(quán)數(shù)=每一個指標的變異系數(shù)/所有指標變異系數(shù)之和，使得所有變異系數(shù)權(quán)數(shù)之和=1，得到如下結(jié)果：指標名稱平均值標準差變異系數(shù)變異系數(shù)歸一化處理人口出生率（％）9.5202112.828090.2970620.016767893每萬人擁有執(zhí)業(yè)醫(yī)師助理執(zhí)業(yè)醫(yī)師（人）13.4218176.969650.5192780.02931107人均圖書擁有量（冊）0.25092350.705982.8135360.1588123在校中小學生體育鍛煉達標率（%）93.0707325.230590.05620.003172267每萬人擁有專業(yè)技術(shù)人員數(shù)（人）227.72673153.9110.675860.038149459城鎮(zhèn)居民人均居住面積 。26.3065857.322510.2783530.015711845農(nóng)村居民人均住房使用面積（平方米）32.9519514.421830.134190.007574482在崗職工平均工資（元）11405.1462135.330.1872250.010568054農(nóng)村居民人均純收入（元）2685.65852137.90.7960450.044933396農(nóng)村改水累計受益率（%）90.00926813.66660.1518350.0085704551專染病發(fā)病率（1/ioTT）236.993991.65730.386750.021830401新生兒死亡率（％）8.76853663.981590.4540770.025630739電視人口覆蓋率（%）95.5117074.719290.0494110.002789024每萬人擁有公共文化設施面積（平方米）126.69846113.980.8996130.050779406城市基礎設施投資占全社會固定資產(chǎn)投*10.3762667.302890.7038070.039726941城鎮(zhèn)居民人均公共綠地面積（平方米）3.11975612.387450.7652690.043196259城鎮(zhèn)生活污水處理率0020.51470618.62550.907910.051247725每萬人擁有在校學生人數(shù)（人）1970.4426318.3490.1615620.009119511享受低保人數(shù)占救濟對象總?cè)藬?shù)的比重（48.20435827.20520.5643710.031856408全社會保障支出占財政總支出的比重（%）16.7978795.647450.33620.018977109每萬人律師擁有人數(shù)（人）1.0541072.603912.4702520.139435385登記失業(yè)率（%）4.0024391.012540.2529820.01427975每萬人治安案件發(fā)案率（件/萬人）36.17119925.45710.7037960.03972632第三產(chǎn)業(yè)就業(yè)人員占全部就業(yè)人員的比暨26.1154312.54760.4804660.027120312社會事業(yè)支出占財政總支出的比重農(nóng)）54.00512212.73270.2357690.013308145非農(nóng)業(yè)人口占總?cè)丝诘谋戎睾埽?7.30631623.3460.8549660.048259279環(huán)境保護投入占GDP的比重（%）2.14492442.094120.9763120.055108747人均GDF（元）7971.09764806.640.6030090.034037319分析：變異系數(shù)越大，說明該指標在這項評價上的分辨信息越豐富，因而應該給該指標以較大的權(quán)數(shù)，從變異系數(shù)的值來看，人均擁有量書冊的變異系數(shù)值最大，因此賦值最大0.15881232、熵值法：熵值法：是根據(jù)熵值的原理和計算公式來確定指標的重要性權(quán)數(shù)的方法。過程及結(jié)果：1、采用倒數(shù)法對逆向指標正向化，部分結(jié)果顯示如下：

重慶市0.104329140.2593.8223.3741重慶市25.7231.4512440221590.43萬州區(qū)0.08979616.225490.12383896216.4763萬州區(qū)22.5132.510389192574.68涪陵區(qū)0.12393216.802140.34280390.1280.0555涪陵區(qū)25.9333.311896215399.89渝中區(qū)0.20411448.803764.50073295.3874.4899渝中區(qū)23.0823.0S154931549399.89大渡口E0.1427620.644910.17931695.8475.58大渡口[24.5941.316984338292.2江北區(qū)0.12993625.147980.17917198.3437.1781江北區(qū)24.8531.315042335699.73沙坪壩10.14138215.684150.20784193338.7221沙坪壩[19.9235.315154333499.19九龍坡匚0.12925120.336930.13780498.2579.3107丸龍坡L23.542.713696335698.47南岸區(qū)0.14049418.537570.05497391.8415.3726南岸區(qū)25.533714051347599.58北碇區(qū)0.16488215.679981.2421693.3289.7965北暗區(qū)19.8833.912947287599.7萬盛區(qū)0.11861815.059020.17953292.7205.6166萬盛區(qū)13.735.89067264599.08雙僑區(qū)0.08018212.173910.07065292.7441.5217雙橋區(qū)27.923815174286999.58渝北區(qū)0.0932649.7092290.19558894.3204.6903渝北區(qū)46.3536.913071277795.88巴南區(qū)0.13278314.487280.11606792.7213.6684巴南區(qū)16.9833.811297271599.97黔江區(qū)0.0734359.4647370.19526896183.7354黔江區(qū)35.12913747171653.49長壽區(qū)0.1126413.169550.12350798.4187.2735長壽區(qū)26.2639.512570267999.34暴江縣0.11312512.495510.08440194.4192.0886秦江縣21.929.410487247399.44潼南縣0.1074879.5131820.10880296.9127.4376潼南縣24.52911006244298.94桐梁縣0.15929517.064070.10626492.7184.3633銅梁縣38.53379422286799.59大足縣0.162388.8665450.11621896137.1899大足縣21.0134.49906275276.17榮昌縣0.09669414.318420.13302791.4195.5732榮昌縣34.5629.19361268899.94璧山縣0.14809611.950550.11773997.2174.2739璧山縣38.6634.512143287599.84梁平縣0.1145969.2826420.02710692.7131.1641梁平縣15.3336.91047S213576.08城口縣0.10596713.118940.01783671201.1741城口縣25.562610974156947.54豐都縣0.0752297.5268820.06144482.6129.1398豐都縣32.613210953192596.08墊江縣0.07272510.326090.04378492.7143.8995墊江縣21.937.211163222398武隆縣0.09458611.806540.20540595.7168.6486武隆縣26.2532.78774194281.69忠縣0.11389411.031080.03934992.7164.906忠卜縣18.2330.610180192987.02開縣0.06969411.675560.15625198.9112.2266開縣37.8734.59030185193.78云陽縣0.08646210.361680.03152894.2148.4262云陽縣20.9931.S9205168481.46奉節(jié)縣0.0876516.5214890.08411192.8121.2236奉節(jié)縣30.9726.510057159092.27巫山縣0.0811217.6450780.00990397.349.79204巫山縣33.0129.29628158592.19巫溪縣0.1161518.3407470.04589694.3141.3923巫溪縣20.5428.88339148576.57石柱縣0.08219811.964450.11390289.8113.4913石柱縣26.5331.89745158661.21秀山縣0.0566587.8895070.07415188.7146.8203秀山縣32.6326.310454155285.98酉陽縣0.07474111.226750.07650698.3143.2349酉陽縣21.0129.69131151066.41彭水縣0.196326.6799780.03993592.499.40098彭水縣16.1927.411289167483.42江津市0.14117110.35680.16094297.2291.4983江律市32.5435.911365284299.74合川市0.1385118.3979630.14026192.2141.8018合川市20.5130.310276277299.34永川市0.09653114.138340.08252892.1176.056永川市37.4339.511864284299.9南川市0.11298111.869060.1113279.3134.711南川市27.4935.89363235496.68南川市8.85102911.869060.1113279.3134.711南川市27.4935.89363235496.68社會發(fā)展水平綜合評價指標人口素質(zhì)部分I 正會發(fā)展水平綜合評價指標(頊尊活質(zhì)量部分)區(qū)縣人口出生￡每萬人擁彳人均圖書才在校中小巴每萬人擁有專業(yè)技術(shù)人員數(shù)(人城鎮(zhèn)居民，衣村居民，在崗職工3衣村居民，衣村改水2、 運用均值法對處理后的數(shù)據(jù)消除量綱3、 對指標實際值按比重法轉(zhuǎn)換成評價值(消除量綱)，即用每一個指標除以相應的指標總值，得bij3、 再對bij中每一個值取對數(shù)，得ln(bij)，然后將得到的bij和ln(bij)的值對應相乘，得bij*ln(bij)，4、對每一指標的bij*ln(bij)求和得bj，對bj取絕對值，找出bj絕對值中的最大值(max)，得到系數(shù)k，即bj絕對值最大值的倒數(shù)5、 計算第j項指標的熵值ej6、 計算差異系數(shù)dj=1-ej7、 歸一化處理，dj/dj之和實驗結(jié)果如下：

分析：根據(jù)熵值的特性，我們可以通過計算熵值來判斷一個事件的隨機性及無序程度，也可以用熵值來判斷某個指標的離散程度，指標的離散程度越大，該指標對綜合評價的影響越大。二、綜合指數(shù)評價法、功效系數(shù)法綜合評價方法是指在綜合評價中使用的綜合匯總方法依據(jù)的數(shù)學原理相對于模型綜合法而言較為簡單的綜合評價方法。1、綜合指數(shù)評價法綜合指數(shù)評價法：指用實際值與標準值進行對比后再使用線性綜合匯總得到綜合評價分值的方法。步驟及結(jié)果：1、 計算各指標值的的指標評價標準xi02、 計算個體指標數(shù)（個體指標數(shù)=指標的實際值與評價標準值之間的比值），部分結(jié)果顯示如下：區(qū)縣人口出生率（％,）每萬人擁有執(zhí)業(yè)醫(yī)師助理人均圖書擁有量（冊）在校中小學生￡每萬人擁有專業(yè)技術(shù)人員數(shù)（人）重慶市0.912815281.0430778530.9963197561.0078356350.980886816萬州區(qū)0.7856580331.208889490.4935284941.0314735710.950596938涪陵區(qū)渝中區(qū)大渡口［1.0843225731.2518529521.3661669230.9680809251.2297875961.7858690473.6361513317.936674511.023952413.8400847131.249053241.538160420.7146233721.0293246682.088380304江北區(qū)1.136859181.8736640830.7140477531.0561859591.91974849沙坪壩［次龍坡［南岸區(qū)1.2370006791.1685561760.8283038510.9992400221.4874060571.1308620421.5152143920.5491891771.0551115072.5438854591.2292331151.3811523540.2190847180.9863466021.823995879北/區(qū)1.4426087941.1682453724.950354241.0024633771.272562685萬盛區(qū)1.0378298521.1219803640.7154849120.9960166670.902909391雙橋區(qū)渝北區(qū)0.7015375910.907024220.2815686270.9960166671.9388226120.8159966160.723391540.7794722091.0132078930.89884162巴南區(qū)1.1617631061.0793826540.4625594580.9960166670.938266788黔江區(qū)0.642512480.7051755370.7781959961.0314735710.80682383長壽區(qū)某江縣0.9855282930.9812049310.4922079071.057260410.8223604540.9897673390.9309851060.3363613651.0142823450.843504701潼南縣0.9404444710.7087849430.4336054731.0411436360.55960746銅梁縣大足縣榮昌縣1.3937258281.2713682090.4234932670.9960166670.8095814621.420723180.6606068930.4631624881.0314735710.6024319810.8460064971.0668022620.5301497870.9820487960.858806485璧山縣1.2957437730.890382390.4692243751.0443669910.765276602梁平縣1.0026423940.691608440.1080233460.9960166670.575971667城口縣0.9271413210.9774338520.0710799640.7628606620.883401197豐都縣0.6582044820.5607945450.2448712150.8874970520.567082236墊江縣0.6362983950.7693509010.1744913270.9960166670.631895319武隆縣0.827563220.8796531380.8185978531.0282502160.740574664忠縣0.9965026650.8218767360.1568170350.9960166670.724139675開縣0.6097734070.8698944430.6227041371.0626326690.492812687云陽縣0.7564827720.772002880.1256473161.0121334420.65177327奉節(jié)縣0.7668919920.485887170.3352060940.9970911190.532320653巫山縣0.7097592250.5696008420.0394660231.0454414420.21864819巫溪縣1.0162472940.6214320590.182909771.0132078930.620886037石柱縣0.7191765340.8914179470.4539294570.964857570.498366347秀山縣酉陽縣0.4957183690.5878121560.2955141420.9530386020.6447216270.6539350790.8364555380.3048966241.0561859590.628977288彰水縣1.7176747110.4976955240.1591507320.9927933120.436492365江律市1.2351511910.7716395320.6413977521.0443669911.280035328甕川采用變異系數(shù)法求取各指標值餉權(quán)數(shù)，結(jié)果如下：噸978T010.9906444090.622684039永川市'* 0.844581564 1.'05338517 0.3288969550.9895699570.773102173南川市0.988512440.88431070.4436428930.8520401480.591546914/zrp |_1_ nr|epI—Ip||/|jLJ|-..I■r-r-.■■■..!■■. ss|/r-w1、人口素質(zhì)0.361217人口出生率（唯）0.016768人均圖書擁有量（冊）0.029311在校中小學生體育鍛煉達標率（%）0.158812每萬人擁有專業(yè)技術(shù)人員數(shù)（人）0.003172人口素質(zhì)0.0381492.生活質(zhì)量0.078577城鎮(zhèn)居民人均居住面積0.015712農(nóng)村居民人均住房使用面積（平方0.007574在崗職工平均工資（元）0.010568農(nóng)村居民人均純收入（元）0.044933衣］寸改水累計受益率C%）0.008573、公益服務0.076376待染病發(fā)病率（1,10萬）0.02183新生兒死亡率（％））0.025631電視人口覆蓋率（%）0.002789每萬人擁有公共文化設施面積（平70.050779城市基礎設施投資占全社會固定資0.039727城鎮(zhèn)居民人均公共綠弛面積（平方：＞0.043196城鎮(zhèn)生活污水處理率仙）0.051248每萬人擁有在校學生人數(shù)（人）0.009124、社會保護0.260931享受低保人數(shù)占救澆對象總?cè)藬?shù)的0.031856全社會保障支出占財政總支出的比0.018977每萬人律師擁有人數(shù)（人）0.139435登記失業(yè)率（%）0.01428每萬人治安案件發(fā)案率（件/萬人）0.039726I-4J 士土— .■■■.TT.■■■.i-iOi-i區(qū)縣人口素質(zhì)綜合評價值生活質(zhì)量綜合評價指標值公共服務部分指標社會保護指標社會結(jié)構(gòu)指標值人均GDF（元）總指標值重慶市0.2447249740.0797870790.2362423670.227983720.0931836660.9043923930.282413萬州區(qū)0.1665229380.0698591430.1656552540.2338612150.0911498880.7623793280.23361涪陵區(qū)0.3218258090.0796971230.2800796130.3331024610.0948798321.2059819780.374547渝中區(qū)3.1348346890.302168480.268687462.2852371570.293168812.8282177992.117763大渡口［0.2624559720.1052802860.3684178140.4609283770.1985901112.5047993510.550173江北區(qū)0.2639692690.1016194490.4356358850.6468403040.2075885911.7113076210.517382沙坪壩［0.246451960.0992787030.3110016920.3268878670.1979688451.7851995780.424971九龍坡［0.2509876750.1020664210.2125851930.261748050.1822377512.1589247740.441879南岸區(qū)0.1686014620.1043942380.280577870.3250404120.2013461161.6021633030.374592北珞區(qū)0.8963368350.089257080.3558810280.1910228830.1269398011.3586585680.571944萬盛區(qū)0.2015216050.0785004040.197630910.1869810560.1326177660.8537092850.251804雙橋區(qū)0.1601903840.0969532230.4402372750.3319962530.1349327512.1764882270.441123渝北區(qū)0.1961801860.1038676630.2778600080.2461682340.1081545171.0799014730.295738巴南區(qū)0.1635323130.0833219160.1211031090.1891705330.0976011461.1165338190.258371黔江區(qū)0.1890821280.0741712360.1568026450.1736946790.0582573080.7323960040.218782長壽區(qū)0.1581805880.0906919760.2000431140.2020394260.0748991091.1248137330.264816纂江縣0.1326996270.0803991430.1564646050.1544223860.0985240620.7696556160.202407潼南縣0.1300579070.0817747120.2025283130.1272912620.0547145880.7901044930.19543銅梁縣0.1619356740.0976979410.2031128770.1747524980.0790081391.123935560.260193大足縣0.1429960930.0829307490.2617774640.1416247110.0848526980.8612364790.219643榮昌縣0.1655274930.0904928710.1439322040.1904880180.0711467750.7961262490.223419璧山縣0.1548514550.0998798640.1575787220.1706036120.0983185411.1616969850.259547梁平縣0.0793720580.0703114820.1107301080.0787519770.0612475430.614469960.137856城口縣0.0916054870.0621883370.163955580.1321798310.0526921920.3891559440.133801豐都縣0.0908120090.0783367860.2128682460.1175997910.0523950750.5736976580.155075墊江縣0.0881973460.078498640.1452628060.1243067280.0528860470.640815140.158201武隆縣0.2011778810.0715942990.2347727180.1315300330.0587460580.7410522770.218913忠縣0.0964889780.0679143790.17223470.0649091160.0737367450.5340544340.137426開縣0.156786720.0788140850.1793343040.0986762020.0588584590.566045010.171311云陽縣0.0833427470.0643067410.2431370390.1404482680.0562778080.3838869080.139001奉節(jié)縣0.1038066710.069295170.4142603980.1185834150.046257430.4364518150.158853巫山縣0.0465221960.0706454280.1505395720.1050067950.0468694690.4311827790.114068巫溪縣0.0912041180.0587508860.1540839580.104225480.044387910.307234980.115369石柱縣0.1323502630.0645481430.1624625870.1313302210.049949750.4832458730.158463秀山縣0.1000919110.0693738180.1408010880.1352204790.0496687830.4719550820.145272酉陽縣0.1112495020.0594002220.1565768550.1091448640.0428321970.3155148940.124879彭水縣0.0884662210.0623788550.0919004440.1797616580.0458626080.4372045350.144151江律市0.1973359820.0952639110.2009935090.1819251250.0958826891.1194192430.27586合jll幣0.1543308360.0845733250.1207046050.147539180.0861193641.0556889980.236263永川市0.1299031920.099489630.1687139340.1941126470.099660461.0824105380.248876南川市0.1382214060.0819136770.130006970.1381368880.0626139761.0078913150.2206195、對總指標值做折線圖如下:值標指總況狀展發(fā)會社重慶市各區(qū)縣社會發(fā)展狀況分析值標指總況狀展發(fā)會社重慶市各區(qū)縣社會發(fā)展狀況分析市*4?必羅」區(qū)^區(qū),犯I縣亥縣縣M土4縣愚n市"俞中坪壩!碚渝北"銅梁璧山酒忠奉節(jié)石柱彭水永川沙區(qū)縣分析：由圖可以看出，除渝中區(qū)社會發(fā)展水平比較高外，其他各區(qū)縣總體水平相近。5、對各項子指標做雷達圖重慶市各區(qū)縣社會發(fā)展水平「1重慶市重慶市各區(qū)縣社會發(fā)展水平-■-萬州區(qū)+涪陵區(qū)人口素質(zhì)綜合評價值人均GDP（元）生活質(zhì)量綜合評價指標值社會結(jié)構(gòu)指標值公共服務部分指標社會保護指標—人口素質(zhì)綜合評價值人均GDP（元）生活質(zhì)量綜合評價指標值社會結(jié)構(gòu)指標值公共服務部分指標社會保護指標— 大渡口區(qū)I-江北區(qū)沙坪壩區(qū)九龍坡區(qū)南岸區(qū)北碚區(qū)萬盛區(qū)雙橋區(qū)渝北區(qū)巴南區(qū)」黔江區(qū)長壽區(qū)■■—慕｝ 女ifA分析：渝中區(qū)的人口素質(zhì)綜合評價值、社會保護指標遠遠高于其他各區(qū)縣，而南充市在人口素質(zhì)、人均GDP、社會結(jié)構(gòu)、社會保護、公共服務、生活質(zhì)量上均處于劣勢。重慶市區(qū)的發(fā)展明顯的顯示出一枝獨秀，重點地區(qū)輻射作用。6、對GDP作折線圖

重慶市各區(qū)縣分析：渝中區(qū)、大渡口、雙橋區(qū)、九龍坡區(qū)國民生產(chǎn)總值比較高。結(jié)論：重慶市整體社會發(fā)展水平比較均衡，作為重慶市的母城和中此乃城區(qū)，渝中區(qū)在人口素質(zhì)、公益服務、社會保護、國民生產(chǎn)總值方面都占絕對優(yōu)勢。渝中區(qū)在社會結(jié)構(gòu)和生活質(zhì)量方面略微不足。具體可能是由于，渝中區(qū)作為重慶市的經(jīng)濟中心，注重發(fā)展第三產(chǎn)業(yè)，故在社會結(jié)構(gòu)方面有所偏頗，而貧富差異的增大使得生活質(zhì)量指標值變小。2、功效系數(shù)法功效系數(shù)評價法是指使用功效系數(shù)的計算公式驚醒消除量綱后再進行綜合評價的方法。步驟：1、 用max(),min()分別計算出各指標值的滿意值和不允許值2、 使用功效函數(shù)計算出各地區(qū)的功效系數(shù)，結(jié)果如下：3、 繪出各區(qū)縣的功效系數(shù)折現(xiàn)圖，結(jié)果如下：

I區(qū)縣人口素質(zhì)3生活質(zhì)量3公共服務3社會保護捐土會結(jié)構(gòu)4人均GDF（元） I總指標值重慶巾70.2821276.2266280.47252124.595468.1500769.4749937872.36907萬州區(qū)72.4939971.6757178.05443138.117666.7612767.2216969470.86148涪陵區(qū)69.0414377.5944678.41136113.581667.8069174.2602637575.66564渝中區(qū)86.7544484.7708277.3922360.266682.80949100107.6797大渡口匚71.9468885.5407175.37706160.28276.0063894.8683752294.66082江北區(qū)73.7511880.4529683.03834205.963972.1358482.2781786586.43623沙坪壩［69.0214380.9102579.05163213.359275.9694883.450609687.49297丸龍坡匚74.2118883.2465679.12705114.577768.2093389.380442988.27925南岸區(qū)69.73581.9914180.2903191.624872.8333680.5464045884.29612北珞區(qū)69.5318177.8569481.4969147.206971.9119876.682756979.26639萬盛區(qū)68.7579372.9476878.6709172.250775.2775768.6708136473.65284雙樣區(qū)74.2469283.747286.56847120.251872.3875689.6591191889.21537渝北區(qū)70.4424385.164381.38192139.401870.8590672.2597661175.69779巴南區(qū)67.7537575.3584674.78224153.922271.1285872.8410052375.99061黔江區(qū)73.442474.0337478.0839985.5565264.5947366.7459567168.4252