1、數(shù)數(shù) 據(jù)據(jù)數(shù)值型數(shù)據(jù)數(shù)值型數(shù)據(jù)分類數(shù)據(jù)分類數(shù)據(jù)(順序數(shù)據(jù)順序數(shù)據(jù))離散數(shù)據(jù)離散數(shù)據(jù)連續(xù)數(shù)據(jù)連續(xù)數(shù)據(jù)列列( cj )合計(jì)合計(jì)j =1j =2i =1f11f12f11+ f12i =2f21f22f21+ f22合計(jì)合計(jì)f11+ f21f12+ f22n列列(cj)合計(jì)合計(jì)j =1j = 2i =1f11f12r1i = 2f21f22r2:合計(jì)合計(jì)c1c2n一分公司二分公司三分公司四分公司合計(jì)合計(jì)贊成該方案贊成該方案68755779279反對該方案反對該方案32753331141合計(jì)合計(jì)10012090110420一分公司二分公司三分公司四分公司合計(jì)合計(jì)贊成該方案贊成該方案6875577927

2、9反對該方案反對該方案32753331141合計(jì)合計(jì)10012090110420一分公司二分公司三分公司四分公司合計(jì)合計(jì)贊成該方案贊成該方案24.4%26.9%20.4%28.3%66.4%68.0%62.5%63.3571.8%16.2%17.8%13.6%18.8%反對該方案反對該方案22.7%31.9%23.4%22.0%33.6%32.0%37.5%36.7%28.2%7.6%10.7%7.9%7.4%合計(jì)合計(jì)23.8%28.6%21.4%26.2%100%ncrncnrnejiiiij 6643.66420100279111111 ncrncnrnencnr11一分公司一分公司二分公

3、司二分公司三分公司三分公司四分公司四分公司贊成該贊成該方案方案實(shí)際頻數(shù)實(shí)際頻數(shù)68755779期望頻數(shù)期望頻數(shù)66806073反對該反對該方案方案實(shí)際頻數(shù)實(shí)際頻數(shù)32753331期望頻數(shù)期望頻數(shù)34403037列類別的期望頻數(shù)行第列聯(lián)表中第列類別的實(shí)際頻數(shù)行第列聯(lián)表中第式中：其自由度為jiijejiijfcreefricjijijij) 1)(1()(1122實(shí)際頻數(shù)實(shí)際頻數(shù)(fij)期望頻數(shù)期望頻數(shù)(eij)fij - eij(fij - eij)2(fij- eij)2eij687557793245333166806073344030372-5-36-253-64259364259360.

4、06060.31250.15000.49320.11760.62500.30000.97300319. 3)(22eef分類數(shù)據(jù)分類數(shù)據(jù)比例檢驗(yàn)比例檢驗(yàn)獨(dú)立性檢驗(yàn)獨(dú)立性檢驗(yàn)Z 檢驗(yàn)檢驗(yàn) 檢驗(yàn)檢驗(yàn)Z 檢驗(yàn)檢驗(yàn) 檢驗(yàn)檢驗(yàn)ricjijijijeef1122)(0319. 3)(1122ricjijijijeef ricjijijijeef1122)(地區(qū)地區(qū)一級一級二級二級三級三級合計(jì)合計(jì)甲地區(qū)甲地區(qū)526424140乙地區(qū)乙地區(qū)605952171丙地區(qū)丙地區(qū)506574189合計(jì)合計(jì)16218815050082.19)(1122ricjijijijeef82.19)(1122ricjijijije

5、ef即樣本容量為實(shí)際頻數(shù)的總個(gè)數(shù)，）（式中：nricjijeijeijfn1 1222因素因素Y因素因素 X合計(jì)合計(jì)x1x2y1aba + by2cdc + d合計(jì)合計(jì)a + cb + dnndcdbendbbaendccaencabae)()()()(22122111)()()()()()()()(2222222122112212112112dbcadcbabcadneedeeceebeea)()()(2dbcadcbabcadnnC22中較小的一個(gè)表示取式中：) 1(),1() 1(),1(min) 1(),1(min2crcrcrnV地區(qū)地區(qū)一級一級二級二級三級三級合計(jì)合計(jì)甲地區(qū)甲地區(qū)526424140乙地區(qū)乙地區(qū)605952171丙地區(qū)丙地區(qū)506574189合計(jì)合計(jì)1621