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Thống kê cho khoa học xã hội và khoa học sự sống

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BANG HUNG THANG (Ciiu bien) TRAN MANH CUONG KHOA HOC XA HOI VA KHOA HOC Stf SONG (v6i phan m e m R ) DANG HUNG THANG (Chu bien) - TRAN MANH Cl/ONC^ THONG KE CHO KHOA HOC XA HOI ■ ■ VA KHOA HOC SI■r SONG ■ (voi phan mem R) NHA XUAT BAN DAI HOC QUOC GIA HA NOI M u c luc Muc luc Ldi noi d iu Bang ki hieu 11 M ot so khai niem cd ban cua th6ng ke 1.1 Th6ng ke la g i ? 1.2 Tam quan cua Thong ke doi vdi Khoa hoc xa hoi va Khoa hoc sir s o n g 1.3 Tong the va m iu 1.4 Bien va du: l i e u 1.5 Thu thip da l i e u 1.6 Hai dang thong ke 1.7 Phl,n mem thdng ke R 1.7.1 Gidi thieu vi R 1.7.2 Nhap da lieu R 1.7.3 Thao tac vdi da l i e u 1.7.4 Viet ham R 13 13 41 41 42 44 50 50 54 58 59 59 61 64 Thong ke mo ta 2.1 Trinh bay mot mhu so lie u 2.1.1 Bang phan bo tan so, bang phan bo ghep ldp 2.1.2 B ilu 2.2 Cac dac trvtng cua m t u 2.2.1 Cac so xu the trung t a r n 2.2.2 Cac so mdc phan t a n 2.3 Phat hien quan sat b it thudng 2.3.1 Sa dung bieu d6 h o p 2.3.2 Sa dung gia tri trung binh va lech chuan 2.4 Hudng din sa dung phin mem thong k e 2.5 Bai ta p 14 17 21 26 29 31 31 35 37 39 MUC LUC Dai 3.1 3.2 3.3 cifdng ve ly thuyet xac suat 69 Bien co nglu nhien va xac suat 69 Cac quy tic tmh xac s u i t 75 Bien nglu nhien 89 3.3.1 Bien nglu nhien rdi r a c 89 3.3.2 Bien nglu nhien lien t u c 94 3.3.3 Phan bo m a u .101 3.4 Bai t a p 103 Udc lnfdng tham s6 cua t6ng the 109 4.1 Udc ludng diem cho trung binh, phtfdng sai, ty le 109 4.1.1 Udc ltfdng diem cho gia tri trungbinh I l l 4.1.2 Udc ltfdng diem cho phtfdng s a i I l l 4.1.3 Ude lircmg dilm cho ti l e 113 4.2 Khoang tin cay cho trung binh, phucmg sai, ty le 113 4.2.1 Khoang tin cay cho gia tri trung b in h 115 4.2.2 Khoang tin cay cho phrtdng sai 120 4.2.3 Khoang tin cay cho xac s u a t 121 4.3 Xac dinh kich thuldc m Su 123 4.4 Hudng din sir dung phan mem thongk e 130 4.5 Bai t a p 134 Kiem dinh gia thiet v l tham s6 cua tong the 139 5.1 Gidi thieu bai toan kiem dinh gia t h i e t 139 5.2 Kiem dinh gia thiet ve trung b in h 143 5.3 Kilm dinh gia thiet ve ty l e 149 5.4 Kiem dinh gia thiet ve phildng s a i 151 5.5 Phiidng phap p-giatri 153 5.6 Hudng din sh dung phan mem thongk e 157 5.7 Bai t a p 159 So sanh tham s6 cac t8ng the 165 6.1 So sanh gia tri trung binh cua hai tong t h e 165 6.2 So sanh gia tri trung binh cua hai tong the: So sanh thng c a p 177 6.3 So sanh gia tri trung binh cua nhieu tong the: Phep phan tich phtfdng sai * 185 6.4 So sanh hai ty le 192 6.5 So sanh nhieu ty le* 199 6.6 Hiidng din dung phan mem thong k e 203 6.7 Bai t a p 206 MUC LUC Phan tich ttfcfng quan va hoi quy 215 7.1 He so tUdng q u a n .215 7.1.1 He so tifdng quan ly thuyet 217 7.1.2 He so trfdng quan m l u 218 7.1.3 Kiem dinh gia th ie t 222 7.1.4 Trfdng quan va nhan q u a 225 7.2 Hoi quy tuyen tinh d d n 227 7.2.1 Drfdng thang hoi q u y 227 7.2.2 Kiem dinh gia th ie t 231 7.3 Hoi quy tuyen tinh boi * 232 7.3.1 Ham hoi quy .232 7.3.2 He so xac dinh va he so tuting quan b o i 235 7.3.3 Kiem dinh gia t h i e t 238 7.4 Trfdng quan va hoi quy phi tuyen * 240 7.4.1 Trfdng quan phi t u y e n 240 7.4.2 Hoi quy phi tuyen 244 7.5 Hrfdng dan dung phan mem thong k e 247 7.6 Bai t a p 250 Phan tich du* lieu dinh tinh 259 8.1 Kiem dinh su: dong kha nang cua cac thuoctinh 261 8.2 Kiem dinh gia thiet ve gia tri xac suat cuacac thuoc tfnh264 8.3 So sanh phan bo cua hai bien dinh tin h 267 8.4 Kiem dinh tinh doc lap cua hai bien dinht i n h 272 8.5 Hoi quy logistic * 279 8.5.1 Hoi quy logistic ddn 279 8.5.2 Hoi quy logistic b o i 286 8.6 Hitdng dan dung phan mem thong k e 290 8.7 Bai t a p 292 Thong ke phi tham s6 * 299 9.1 Kiem dinh dau: So sanh gia tri trung binh cua hai tong t h e 300 9.2 Kiem dinh dau: Kiem dinh gia tri trungvi cua tong the 305 9.3 Kiem dinh tong hang Mann-Whitney: So sanh phan bo cua hai tong th e 307 9.4 Kiem dinh tong hang Wilcoxon: So sanh gia tri trung binh cua hai phan tong the 312 9.5 Kiem dinh tong hang Kruskal-Wallis: So sanh phan bo cua nhieu tong t h e 317 9.6 He so trfdng quan hang Spearman 321 9.7 Hudng dan dung phan mem thong k e 326 9.8 Bai t a p 327 * MUC LUC P h u i u c 337 T&i lieu tham k h a o 343 C hi m u c .344 Ldi noi d a u Thong ke la mot mon khoa hoc ldn mang tinh lien nganh, co pham vi ling dung rong ldn hau hit cac hoat dong cua ngudi noi chung va Khoa hoc xa hoi va Khoa hoc su song noi rieng Viec ap dung cac phudng phap Thong ke Khoa hoc xa hoi va Khoa hoc su song dang trd nen hit site bien Tren thl gidi nhieu trung tarn nghien ciiu phat trien cac phudng phap Thing kg llnh vUc da dude lap nhieu cd quan nghien ciiu, ling dung, giang day ve Xa hoi hoc, Tam ly hoc, Khoa hoc chmh tri, Kinh tl hoc, Giao dvc hoc, Dan so hoc, Quan tri kinh doanh, Sinh hoc, Y hoc, Dude hoc, Cham soc siic khoe, Y tl cong dong , cac kiln thiic va ky nang ve Thong ke trd mot yeu cau bat bubc cua cac nha tuyln dung va dude doi hoi vdi miic cang cao Vi thl hien d h&u hit cac truing dai hoc tren thl gidi, chUdng trinh dao tao cua cac nganh Khoa hoc xa hoi va Khoa hoc su song, Thong kg la mot mon hoc cot loi, co tmh bat buoc ca d bac dai hoc va sau dai hoc Cl nude ta, nhu cau trang bi kiln thiic, nang cao hieu bilt ve cac phudng phap thong kg Khoa hoc xa hoi va Khoa hoc su song cang tang Tuy nhign, cho din cac giao trinh va sach tham khao ve Thing kg llnh vUc bang tilng Viet rlt it va chua that phii hdp vdi xu the giang day Thing kg ky nguyen du: lieu so va each mang 4.0 Chung toi bign soan culn sach vdi hy vong cung cap mot giao trinh va tai lieu tham khao co chat ludng phuc vu mot dli tudng dong dao ban doc bao gom cac sinh vign, hoc vign cao hoc, nghign ciiu sinh, cac giang vign dai hoc, cac nha nghign ciiu dang hoc tap va cong tac cac nganh cua Khoa hoc xa hoi va Khoa hoc su sing Nhuug y tudng chu dao cua chung toi vilt culn sach la: Ldi noi d&u • Co g&ng trinh bay cac dctn vi kien thilc that can ke, dd hieu va hap dan: Tnldc dila mot khai niem mdi, chung toi thudng gidi thieu cac tinh huong co van de (case study), cho thay nhu cau can dua khai niem Mdi khai niem phitdng phap dira deu kem theo kha nhieu vi du minh hoa Cac vi du dildc lila chon ky va hau het thuoc ve Khoa hoc xa hoi va Khoa hoc sir song • Doi tUdng ma cuon sach hifdng tdi la nhfrng ngitdi quan tarn tdi cac phitdng phap Thong ke hug dung Khoa hoc xa hoi va Khoa hoc sit song Ho hoc Thong ke vdi muc dich de ap dung Thdng ke vao cong viec cua minh Ho khong co du thdi gian, khong co nhieu kien thilc chuan bi ve Toan hoc, khong co hilng thu virot qua va danh gia dUOc su tinh te cua nhilng chilng minh toan hoc va noi chung khong quan tarn tdi ve dep cua Toan hoc thuan Cai ho can la biet sil dung cac phudng phap Thong ke cho dung va trung Thanh thii chung toi quyet dinh thha nhan va bo qua cac chilng minh toan hoc dai cua nhieu quy tac, dinh ly Tuy nhien dieu khong co nghla cuon sach chi liet ke cac quy tac, dinh ly theo van phong cua mot cuon "Sach day nau an" Thay cho chilng minh toan hoc chat che va day du la viec giai thich y nghia, cho biet ly va mo ta thich hdp ve tinh hdp ly cua chung kem theo cac vi du minh hoa cho viec si! dung cac quy tac nhu the nao cac tinh huong thirc te • Cuoi moi chiidng chung toi co dira vao kha nhieu bai tap de giiip ngitdi hoc co cd hoi thii thach, ren luyen viec van dung cac kien thilc, ky nang da hoc de giai quyet cac bai toan thuc tiin.• • Viec ap dung cac phudng phap Thong ke vao thirc tidn luon doi hoi nhilng tinh toan philc tap, doi kha buon chan Rat may la hien ngitdi hoc cd the tiep can kha nhieu phan mem thong ke phuc vu cho cac tinh toan thdng ke nhil SPSS, SAS, MINITAB hay R Trong cuon sach chung tdi chon phan mem R vi day la phan mem dildc rat nhieu cuon sach Thong ke d cac nildc phat trien khuyen cao nen sir dung Nhil vay cuon sach doc gia dildc hoc dong thdi ca Thong ke va phan rnern R Ldi noi dim Cudn sach bao gom chudng Trong Chudng 1, sau gicfi thieu vai net vl khoa hoc thong ke, tarn quan cua thong ke dbi vdi Khoa hoc xa hoi va Khoa hoc su s6ng, chung toi trinh bay mot so khai niem cd ban nhat cua thong ke nhu tong the va mau, cac each chon mlu, thu thap duf lieu, phan loai cac bien va dil lieu, Cuoi chudng la nhap mon ve phan mem R O cuoi moi chudng tiep theo la hudng dan chi tiet viec si! dung phan mem R tudng dng vdi noi dung cua chudng Chudng trinh bay nlntng kien thhc cd ban nhat ve Ly thuydt xac suat cd sb toan hoc cua Thdng ke Doc gia neu co nhu cku tim hiSu sau hdn ve Ly thuyet Xac suat co the tham khao cuon sach [2], Cac chudng th Chudng den Chudng 8, trif nhung tiet co danh dhu * (6.3; 6.5; 7.3; 7.4; 8.5), trinh bay nhdng noi dung cd ban v6 cac phudng phap thong ke Khoa hoc xa hoi va Khoa hoc su s6ng Chudng va nhvtng tifit co danh dau * nhu tren trinh bay nhung noi dung co tinh nang cao Cuon sach dude viet tren cd sd nhung bai giang ma chung toi da giang day nhUng nam gan day cho sinh vien va hoc vien cao hoc cua cac khoa TrUdng DHKHTN va Trudng DHKHXH&NV, Dai hoc Quoc gia Ha Noi Chung toi xin cam on Ban Giam hieu, Khoa Toan-Cd-Tin hoc, Bo mon Xac suat - Thong ke, Trudng Dai hoc Khoa hoc Tu nhien, DHQGHN da gdi y, dong vien va tao dieu kien thuan ldi de cac tac gia hoan cuon sanh Cam dn cac phan bien da doc ban thao va cho nhung nhan xet quy bau Mac du da het she co gang nhung cuon sach kho tranh khoi nhung sai sot Chung toi rat mong nhan cac y kien dong gop phe binh cua doc gia Ha Noi, thang nam 2018 Cac tac gia B a n g k y h ieu va d a n h m u c v ie t ta t N N* Z Q R C oo —oo % CL Xl(k) tQ(k) f a{n,m) b.n.n LTXS TSQS TSLT THPT VNPT DHKHTN DHKHXH&NV DHQGHN tap hop so tit nhien tap hop so tit nhien khac tap hop so nguyen tap hop so hitu ti tap hop so thitc tap hop so philc ditong vo ciing (titong ditong vdi Too) am vd ciing tap hpp rong phan vi mite a cua phan bo chuin tac phan vi mhc a cua phan bo binh phitOng vdi k bac tit phan vi mile a cua phan bo Student vdi k bac phan vi mile a cua phan bo Fisher vdi cac bac tit n, m bien ngau nhien Ly thuyet xac suat tan so quan sat tan s6 ly thuyet trung hoc phd thong Tap doan Biru chinh Vien thong Viet Nam Dai hoc Khoa hoc Tit nhien Dai hoc Khoa hoc Xa hoi va Nhan van Dai hoc Quoc gia Ha Noi 9.8 Bai tap 333 H\\ "Ton tai It nhat hai tong the bon tong thl tren co phan bo khac nhau" Tit moi tong the ta lhy mot mlu nglu nhien ky hieu la A, B ,C ,D Ket qua dupe cho bang sau A B C D 251 232 230 259 262 255 225 222 237 282 209 277 228 248 216 250 242 256 236 238 Can cut tren cac mlu dC lieu tren, vdi mhc y nghla 1% hay kilm dinh gia thiet H0 vdi doi thiet Hi 14 Cac hoc sinh ldp dude day mon Toan theo ba bo sach giao khoa A, B , C Bai kiem tra cudi nam co dang trac nghiem vdi 20 cau hoi Chon nglu nhien 15 hoc sinh hoc theo cac bo sach giao khoa A, B, C (mdi bo chon hoc sinh) thong ke so cau tra ldi dung Ket qua nhu sau A B C 10 17 15 16 11 12 14 14 10 Can cil tren mau so lieu vdi mdc y nghla 5% co the khang dinh rhng ket qua hoc tap mon Toan cua hoc sinh ldp dupe hoc theo ba bo sach A, B, C la khong dong nhat nhu hay khong? Noi each khac co the cho rang nhan to "sach giao khoa" co anh hudng tdi ket qua hoc tap mon Toan cua hoc sinh ldp hay khong? 15 Mot nghien cdu dupe tien hanh de so sanh diem hoc tap cua ba tong the sinh vien X , T, Z X , y, Z tuong Png la tbng the cac sinh vien "It di lam them", "Di lam them vita phai" "Di lam them nhieu" Tit mdi tong thl ta lay mot mau ng&u nhien de xem xet diem trung binh hoc tap cua sinh vien Ket qua dupe cho bang dudi day 334 Thong he phi tham so * It Vha Nhieu 6,3 7,2 6,3 7,0 6,6 5,8 6,5 6,1 6,0 6,6 5,8 5,5 7,3 7,1 5,3 6,9 5,9 6,5 6,4 6,8 5,4 6,2 Can cil tren mau so lieu vdi mile y nghia 5% co the khang dinh rang co it nhat hai tdng the so ba tong the X , y , Z co phan bo khac hay khong? 16 Sau tuan le phim Viet Nam, ngudi ta da chon mau nglu nhien, mdi mlu co ngrfdi tit ba tang ldp hoc sinh, sinh vien, vien chile de phong van ve danh gia cua ho ve tuan le phim Danh gia cua ho the hien d viec cho diem (thang dilm tit den 100) Ket qua nhu sau Hoc sinh Sinh vien Vien chile 73 63 81 51 74 93 55 53 84 64 92 91 71 84 84 C&n ctl tren mau so lieu vdi mile y nghia 5% co the khang dinh rhng khong co sit khac biet ve viec danh gia Tuan le phim cua ba tang ldp hoc sinh, sinh vien, vien chile hay khong? 17 Mot cong ty muon nhap khau mot so ldn cac to thuoc bon mac A, B, C, D M6i mac to drtdc chon nglu nhien mot vai chiec de chay thil 10000 km va ghi lai so tien (don vi USD) chi cho viec bao ditdng sila chila thdi gian Kgt qua drtdc cho d bang sau: A B C D 220 120 180 168 290 250 215 247 256 173 231 241 273 235 200 210 265 179 190 276 247 258 193 236 147 273 Goi A, B, C, V trtdng ilng la bon t6ng the dit lieu ve so tien (ddn vi USD) chi cho viec bao ditdng sila chila sau chay 10000 km cua tat ca cac to thuoc bon mac A, B, C, D Can cil tren cac mau dh lieu tren, vdi mile y nghia 5% hay kiem dinh gia thiet: H q: "Bon tong the A, B, C, V co phan bo nhrt " vdi doi thiet 9.8 Bai tap 335 Hi: "Ton tai it nhat hai tong the bon tong the tren co phan bo khac nhau" 18 Tmh he so tUdng quan hang Spearman cho cac mau dU lieu sau day dupe lay ngau nhien tir tong the du: lieu cua cap bien dinh ludng (X, Y) i) 33 26 X y 61 36 20 65 19 25 120 75 137 52 40 35 ii) 89 81 X y 102 94 41 136 ii) X y 80 20 83 10 82 15 91 87 19 Hai phong vien the thao Cudng va Toan cua mot td bao da lam mot phep du doan sau day vi thut hang cua doi bong da A ,B ,C ,D ,E ,F Giai vo dich quoc gia nam tdi Ket qua nhu sau Dpi bong Cudng Toan A B C D E F VPi mile y nghia 5% nhan dinh xem lieu co sU tUdng quan giiia hai du doan cua hai phong vien Cudng va Toan hay khong? 20 Hai chuyen gia An va Binh dude yeu cau xep hang loai rUdu vang A, B, C, D , E, F Ket qua dude cho bang sau: Loai rUdu An Binh A B C D E F 336 Thdng ke phi tham so * 21 Mot nghien cvfu dude tien hanh de tim hieu moi tudng quan gitta so dieu thuoc la hut thdi gian mang thai va ludng tre sd sinh cua cac ba me My Mot mau gom 15 ba me hut thuoc ghi lai so dieu thuoc ma ho hut thdi gian mang thai va ludng tre mdi sinh (don vi la pound) Ket qua dude cho bang sau: STT So didu/ngay Trong ludng 12 7,7 STT So dieu/ngay Trong ludng 15 8,1 20 8,3 21 8,2 35 6,9 10 25 5,2 11 39 6,4 20 8,6 12 25 7,9 17 8,3 13 30 8,0 19 9,4 14 27 6,1 46 7,8 15 29 8,6 Vdi mile y nghia 5% nhan dinh xem so lieu tren co cho ta ket luan rang co sd tvtdng quan giua gifla so dieu thuoc la hut thdi gian mang thai va ludng tre sinh hay khong? 22 Mot nha xa hoi hoc cho rhng mile thu nhap la mot ydu to quyet dinh xac dinh dia vi xa hoi cua mot ngudi dan ong My De kiem tra gia thuyet mot mau ngau nhien gom 15 dan ong dddc chon Moi ngUdi dupe phat mot phieu tham drtdc nha xa hoi hoc thiet ke de xac dinh dia vi xa hoi cua ngudi dude hoi Ket qua dupe cho bang sau Dia vi xa hoi dude cho tren thang diem 100 (dia vi cao tudng ilng vdi diem cao) va ddn vi thu nhap la nghin USD /nam STT Dia vi Thu nhap 92 29,9 STT Dia vi Thu nhap 51 18,7 45 16,0 88 32,0 10 72 25,0 65 15,0 11 53 17,2 12 43 9,7 80 26,0 13 87 20,1 31 9,0 38 11,3 14 30 15,5 75 22,1 15 74 16,5 Vdi mile y nghia 5% nhan dinh xem so lieu tren co cho ta du cd sd de ket luan rang dia vi xa hoi va mile thu nhap co moi tUdng quan dUdng hay khong? PHU LUC Bang Bang cac gia tri cua ham phan bo cua phan b6 chu&n tac N (0,1) (chi ghi chit so sau dau phdy thap phan) 0.03 0 05 06 0 0.08 0.09 5080 5120 5160 5199 5239 5279 5319 5359 5478 5517 55 5596 5636 5675 5714 5753 5832 5871 5910 5948 5987 6026 6064 6103 6141 6179 6217 6255 6293 6331 6368 6406 6443 6480 6517 6554 6591 6628 6664 6700 6736 6772 6808 6844 6879 6950 6985 7019 7054 088 7123 7157 7190 7224 0 0.01 0.0 5000 5040 0.1 5398 5438 5793 0.3 0.4 0.5 6915 0.02 0.6 7257 7291 7324 7357 7389 7422 7454 7486 7517 7549 7 580 7611 7642 7673 7704 734 7764 7794 7823 7852 0.8 7881 7910 7939 7967 7995 8023 8051 8078 8106 8133 0.9 159 8186 8212 8238 8264 8289 8315 8340 8365 8389 8485 8508 8531 8554 8577 8599 8621 1.0 8413 8438 8461 1.1 8643 8665 8686 8708 8729 8749 8770 8790 8810 8830 1.2 8849 8869 8888 90 8925 8944 8962 8980 8997 9015 1.3 9032 9049 9066 9082 9099 9115 9131 14 9162 9177 1.4 9192 9207 9222 9236 9251 9265 9279 9292 9306 9319 1.5 9332 9345 9357 9370 9382 9394 9406 9418 9429 9441 1.6 9452 9463 47 48 9495 9505 9515 9525 9535 9545 1.7 9554 9564 9573 9582 9591 9599 9608 9616 9625 9633 1.8 9641 9649 9656 9664 9671 9678 9686 9693 9699 9706 1.9 9713 9719 9726 9732 9738 9744 9750 9756 9761 9767 2.0 9772 9778 9783 9788 9793 9798 9803 9808 9812 81 2.1 9821 9826 9830 9834 9838 9842 9846 9850 9854 9857 2.2 9861 9864 9868 9871 9875 9878 9881 9884 9887 9890 2.3 9893 9896 89 9901 9904 9906 9909 9911 9913 9916 2.4 9918 9920 9922 9925 92 9929 9931 9932 9934 9936 2.5 9938 9940 9941 94 9945 9946 9948 9949 9951 9952 2.6 9953 9955 9956 95 9959 9960 9961 9962 9963 9964 2.7 9965 9966 96 9968 9969 9970 9971 9972 9973 9974 2.8 9974 9975 9976 9977 9977 9978 9979 9979 9980 9981 2.9 9981 9982 9982 9983 9984 9984 9985 9985 9986 9986 3.0 987 98 98 9988 9988 9989 9989 989 9990 9990 Phu luc 338 Bang Bang cac phan vi x^(fc) cua phan bo binh phifdng ( Gia tri cua k d cot 1, gia tri cua a d hang 1) 995 990 975 950 050 025 010 005 0 + 0 + 0 + 0 + 02 63 7.88 01 02 05 10 5.99 7.38 9.21 10.60 07 11 22 35 7.81 35 11.34 12.84 21 30 48 71 9.49 1.14 13.28 14.86 41 55 83 1.15 11.07 12.83 15.09 16.75 68 87 1.24 1.64 12.59 14.45 16.81 18.55 99 1.24 1.69 14.07 16.01 18.48 0.28 1.34 1.65 2.18 2.73 15.51 17.53 0.09 1.96 1.73 3.33 16.92 19.02 3.59 10 2.16 2.56 25 3.94 18.31 0.4 23.21 5.19 11 2.60 3.05 82 9.68 1.9 2 4.72 6.76 12 3.07 40 5.23 1.0 3.3 6.22 8.30 13 57 4.11 5.01 5.89 2.3 4.7 7.69 9.82 14 4.66 5.63 57 3.6 6.12 9.1 31.32 15 4.60 5.23 7.26 5.0 7.49 0.58 2.80 16 14 5.81 6.91 7.96 6.3 8.85 2.0 4.2 17 5.70 6.41 7.56 7.5 0.19 33.41 5.72 18 26 7.01 23 39 8 1.5 34.81 7.16 19 84 7.63 8.91 10.12 2.85 6.1 8.5 20 7.43 8.26 59 10.85 31.41 7 0 21 8.03 8.90 10.28 11.59 5.48 8.93 1.4 22 8.64 9.54 10.98 12.34 3.92 6.7 0.2 2.8 23 9.26 10.20 11.69 13.09 8.08 4 4.1 24 89 10.86 12.40 13.85 6.42 9.36 2.9 5.5 25 10.52 11.52 13.12 14.61 7.6 0.6 4.31 6.9 26 11.16 12.20 13.84 15.38 8.8 1.9 4 8.2 27 11.81 12.88 4.57 16.15 0.11 9 9.65 28 12.46 3.5 15.31 16.93 4 4.4 8.2 0.99 29 13.12 14.26 16.05 17.71 2.5 5.7 9.5 2.34 30 13.79 14.95 16.79 18.49 7 6.9 0.89 3.6 40 20.71 2.16 4.43 26.51 5.76 9.3 3.69 6 7 50 7.99 29.71 2.36 4.7 6 7.5 1.42 6.15 79.49 60 5.5 3 7.48 0.4 3.1 9.08 3.3 8.38 1.95 70 3.2 5.4 4 8.7 1.74 0.5 5.0 100.42 104.22 80 1 3.5 7.15 0.3 101.88 106.63 112.33 116.32 90 9.20 1.75 5.65 9.1 113.14 118.14 124.12 128.30 Phu luc 339 Bang Bang cac phan vi ta(k) cua phan bo Student (Gia tn cua k d cot , gia tri, cua a d hang ) 1 10 05 025 01 005 0025 001 0005 07 314 12.706 31.821 63.6 127.32 18.31 36 2 1.886 920 3 965 92 14.089 3.3 31.5 1.638 353 182 4.541 5.841 7.453 10.213 12.924 1.533 2.132 776 74 5.598 173 610 1.476 015 2.571 3.365 03 77 893 86 1.440 1.943 44 143 7 31 208 959 1.415 1.895 365 2.998 49 02 78 5 408 397 1.860 30 89 35 83 4.501 5.041 1.383 1.833 262 2.821 25 690 781 10 1.372 1.812 228 764 169 3.581 4 4 11 1.363 1.796 2.201 2.718 10 025 4 12 1.356 1.782 179 2.681 055 428 930 31 13 1.350 1.771 16 650 012 3.372 3.852 221 14 1.345 1.761 145 62 7 326 4 15 1.341 1.753 2.131 2.602 286 733 07 16 1.337 1.746 120 583 2.921 252 686 01 17 1.333 1.740 110 56 89 3.222 646 965 18 1.330 1.734 2.101 552 87 19 61 922 19 1.328 1.729 093 539 2.861 174 579 88 20 1.325 1.725 08 52 845 3.153 552 85 21 1.323 1.721 08 518 2.831 135 52 81 22 1.321 717 07 508 81 119 50 792 23 1.319 1.714 0 10 485 7 24 1.318 1.711 492 3.091 46 745 25 1.316 1.708 485 078 45 725 26 1.315 1.706 056 479 779 06 435 70 27 1.314 1.703 05 2 47 2.771 05 3.421 69 28 1.313 1.701 04 46 763 408 67 29 1.311 1.699 04 2.462 75 038 396 65 30 1.310 697 042 45 75 030 385 646 40 1.303 1.684 021 423 70 2.971 3 3.551 60 1.296 1.671 00 390 660 915 232 46 120 1.289 1.658 1.980 358 61 860 16 37 oo 1.282 1.645 1.960 32 57 090 3.291 340 Phu, ly,c 00511 Bang Bang cac phan vi (f , ( , m)) mufc 5% cua phan bo Fisher (Gia tri cua n d hang , gia tri cua m d cot ) 12 24 00 224 230 33 9 38 8 43.91 249 254.31 19.25 19.30 19.33 19.37 19.41 19.45 19.50 9.12 9.01 8.85 8.64 53 39 6.26 6.16 5.91 7 5.63 5.19 5.05 4.95 82 4.68 53 4.39 4.28 15 4.00 3.84 7 12 3.73 3.41 23 8 3.69 3.58 4 3.28 3.12 2.93 3.63 3.48 3 23 2.90 2.71 54 10 3.48 3.33 3.22 2.91 2.74 11 36 3.20 3.09 2.95 2.79 2.61 40 12 26 3.11 0 2.85 2.69 2.51 30 13 18 3 2.92 7 2.42 2.21 14 3.11 2.96 2.85 2.70 2.53 2.35 2.13 15 06 2.90 2.79 2.64 2.48 2.29 16 3.01 2.85 2.74 59 2.42 2.24 2.01 17 2.96 2.81 2.70 2.55 38 2.19 1.96 18 2.93 2.77 2.66 2.51 2.34 2.15 1.92 19 90 2.74 2.63 48 2.31 2.11 1.88 20 2.71 2.60 2.45 28 2.08 1.84 21 84 2.68 2.42 2.25 2.05 1.81 22 82 2.66 2.55 23 1.78 23 80 2.64 2.53 37 20 2.01 1.76 24 78 2.62 2.51 2.36 18 1.98 1.73 25 76 2.60 2.49 2.34 2.16 1.96 1.71 26 74 2.59 2.47 2.32 15 1.95 1.69 1.67 27 2.73 2.57 2.46 2.31 13 1.93 28 2.71 2.56 2.45 2.29 2.12 1.91 1.65 29 70 2.55 2.43 2.28 10 1.90 1.64 30 2.69 2.53 2.42 2.27 09 1.89 1.62 40 2.61 45 2.18 0 1.79 1.51 60 53 2.37 2.25 2.10 1.92 1.70 1.39 120 2.45 2.29 2.18 2.02 1.83 1.61 1.25 00 37 2.21 2.10 1.94 1.75 1.52 1.00 Phu luc 341 Bang Bang cac gia tri tdi han cua he so tifdng quan hang Spearman (Gia tri c(n,a) nam d ddng n cot a) n 10 0,10 0,900 0,829 0,714 0,643 0,600 0,564 0,05 1,000 0,886 0,786 0,738 0,683 0,648 0,02 1,000 0,943 0,893 0,833 0,783 0,745 1,000 0,929 0,881 0,833 0,794 11 12 13 14 15 0,523 0,497 0,475 0,457 0,441 0,623 0,591 0,566 0,545 0,525 0,736 0,703 0,673 0,646 0,623 0,818 0,780 0,745 0,716 0,689 16 17 18 19 20 0,425 0,412 0,399 0,388 0,377 0,507 0,490 0,476 0,462 0,450 0,601 0,582 0,564 0,549 0,354 0,666 0,645 0,625 0,608 0,591 21 22 23 24 25 0,368 0,359 0,351 0,343 0,336 0,438 0,428 0,418 0,409 0,400 0,521 0,508 0,496 0,485 0,475 0,576 0,562 0,549 0,537 0,562 26 27 28 29 30 0,329 0,323 0,317 0,311 0,305 0,392 0,385 0,377 0,370 0,364 0,465 0,456 0,448 0,440 0,432 0,515 0,505 0,496 0,487 0,478 0,01 - T lieu th a m kh ao [1] Dang Hung Th&ng, Thong ke va ting dung, NXB Giao due, 2017 (Tai ban lan thu: til) [2] Dang Hung Thang, Md dau ve ly thuyet xac suat va dng dung, NXB Giao due, 2015 (Tai ban lan thb tam) [3] Colin Tredoux, Kevin Durrheim, A course in statistics for the social sciences, UTC Press, 2002 [4] A.Agresti, C.A.Franklin, Statistics: The art and science of learn­ ing from data, Pearson Education, Inc., 2007 [5] A.Agresti, An introduction to categorical data analysis, A John Wiley & Son, Inc., 2007 [6] R.A.Irizarry, M.I Love, Data Analysis for the Life Science, Lean Publishing, 2015 [7] C.T.Ekstrom, H.Sorensen, Introduction to Statistical Data Anal­ ysis for the Life Science, CRC Press 2014 [8] R.L Sheaffer,W.M.III, R.L Ott, Elementary Survey Sampling, Thomson Brooks/Cole 2006 C hi m uc p-gia tri, 153 doi thigt, 140 dam may diem, 228 chech, 110 lech tieu chuan, 90, 92, 95 lech tieu chuan mau, 57 lech trung binh mau, 55 tin cay, 113 dai lUdng ngau nhign lien tuc, 94 dinh ly Moivre-Laplace, 98 dinh ly gidi han trung tarn, 99 dudng thang hoi quy, 227, 228 dudng thang hoi quy there nghiem, 228 da giac tan so, 48 da giac tan suat, 48 udc luqng diem, 109 udc lUdng diem cho ky vong, 111 udc lUdng diem cho phuong sai, 111 Udc luqng hieu qua, 110 irdc luqng khong chech, 110 rtdc luqng khoang, 113 Udc luqng phuong sai, 230 Udc luqng viing, 110 Bang ANOVA, 238 bang ANOVA, 189 bang phan bo ghep ldp, 43 bang phan bo tan so, 42 bang phan bo xac suat, 89 bang phan to thuc nghiem, 42 bien, 21 bidn dap ling, 279 bien dap tra, 286 bien doc lap, 279, 286 bien dinh danh, 25 bien dinh luqng, 21, 259 bien dinh tinh, 23, 259 bien dinh tinh co thil bac, 25 bien co, 69 bien co doi, 78 bien co chac chan, 71 bien co hiem, 141 bien co khong the, 71 bien co xung khac, 75 bien giai thich, 227, 279, 286 bien ngau nhign, 89 bien ngau nhien lign tuc, 94 bien ngau nhign rdi rac, 89 bien phu thuoc, 227, 279, 286 bign do, 55 bign mau, 55 bieu do, 44 bilu cot xgp chong, 46 bieu hinh cot, 44 bieu hinh quat, 47 bieu than va la, 49 cac bien co doc lap, 80 cong thhc Bayes, 86 cong thde xac suat day du, 86 chi so Cramer, 277 CHI MUC 345 ky vong mlu, 50 ky thuat lay mau, 18 khong gian mau, 70 Khoang td phan vi, 55 gia tri trung binh, 89 khoang tin cay, 113 gia thiet khong, 140 khoang tin cay doi xdng, 114 gia thiet thong ke, 139 khoang tin cay cho lech tieu chuan, 120 hoi quy, 215 khoang tin cay cho gia tri trung hoi quy logistic ddn, 279 bmh, 115 hoi quy logistic boi, 286 khoang tin cay cho phddng sai, hoi quy mu, 245 120 hoi quy parabol, 246 khoang tin cay cho ti le, 121 hoi quy phi tuydn, 244 khoang tin cay cho xac suat, 121 hoi quy tuyen tfnh ddn, 227 khoang tin cay hai phfa, 114 hoi quy tuyen tlnh boi, 232 khoang tin cay ldn nhat, 114 ham hoi quy, 232, 234 khoang tin cay mot phia, 114 ham hoi quy logistic thdc nghiem, khoang tin cay nho nhat, 114 281 khoang tin cay phai, 114 ham hoi quy thdc nghiem, 234 khoang tin cay trai, 114 ham hoi quy tuyen tmh ly thuyet, kiem dinh dau, 300 233 kiem dinh gia tri trung vi, 305 ham mat do, 94 kiem dinh gia thiet cho ky vong, he day du cac bien co, 86 143 he so hoi quy, 228, 234 kiem dinh gia thiet thong ke, 139 he so hoi quy ly thuyet, 233 kiem dinh gia thiet ve phudng sai, he so hoi quy logistic ly thuyet, 151 286 kiem dinh gia thiet ve ti le, 149 he so hoi quy thdc nghiem, 228 kiem dinh tong hang Kruskalhe so tddng quan, 215 Wallis, 317 he so tddng quan boi, 235 kiem dinh tong hang Mannhe so tudng quan hang Spearman, Whitney, 307 kiem dinh tong hang Wilcoxon 321 he so tddng quan ly thuyet, 217 312 he so tddng quan mtu, 218, 219 kiem tra tmh doc lap, 272 he so xac dinh, 235 hang, 307 lay mau ngau nhien, 19 hai bien co phu thuoc, 81 lay mlu phan tang, 20 lay mau theo khdi, 20 ket qua thuan ldi, 70 ldc lddng cua kiem dinh 142 kfch thddc mau, 18 mot, 53 k\r vong, 89, 95 dd lieu, 21 dil lieu dinh ludng, 21 dd lieu dinh tmh, 23 346 CHI MUC mhc y nghTa, 142 so sanh hai gia tri trung binh, 165 mat phang hoi quy ly thuyet, 233 so sanh hai ti le, 192 mau, 18 so sanh nhieu ti le, 199 mau so lieu, 22 so sanh phan bo, 267 median mlu, 51 so sanh titng cap, 177 mien bac bo gia thiet, 142 tan so, 42 mien tieu chuan, 142 tan so ly thuygt, 265 mode, 53 tan so quan sat, 265 nguon du: lieu, 27 tan suat, 42 nguon dG lieu sd cap, 27 tb chile do, 47 nguon du: lieu thiif cap, 27 tong binh phitdng chung, 236 nguyen ly xac suit nho, 75 tong binh phudng hoi quy, 236 tong binh phudng sai so, 236 phep thuf ngau nhien, 70 tong the, 17 phan bo y 2, 100 ty so tUdng quan, 240 phan bo chuan, 96 ty s6 tUdng quan ly thuyet, 240 phan bo chuan tac, 96 tUdng quan, 215 phan bo Fisher, 100 tUdng quan nghich, 321 phan bo mau, 101 tUdng quan nghich hoan hao, 321 phan bo nhi thdc, 90 tUdng quan phi tuyen, 240 phan bo Poatxong, 92 tUdng quan thuan, 321 phan bo student, 100 tUdng quan thuan hoan hao, 321 phan tich phudng sai, 185 tUdng quan va nhan qua, 225 phan vi cua phan bo chuan tac, 96 test thong ke, 142 phan vi cua phan bo Fisher, 100 thong ke mo ta, 29 phan vi cua phan bo binh thong ke phi tham so, 299 phUOng, 100 thong ke suy dibn, 30 phan vi cua phan bo student, 100 trung binh binh phudng hoi quy, phan du, 230 238 phrfdng sai, 89, 92, 95 trung binh binh phudng sai so, 238 phitdng sai mau, 57 trung binh mill, 50 trung vi mau, 51 quy tac cong, 75 quy tac nhan, 79 xac dinh kich thude mau, 123 xac suat co dieu kien, 81 sai lam loai 1, 141 xac suat cua bien co, 71 sai lam loai 2, 141 sai so tieu chuan, 111 sai so tieu chuan cua dudng thang hoi quy, 230 so sanh hai Udc ludng diem, 111 nhAxuatbAn DAI HOC QUfiC GIA HA NOI 16 Hing ChuAl - Hal B i Trirng - H i N$i Chiu trAch nhiem xuat ban: Hoi dong nghifm thu giao trinh: Ngirai nhan xet: Giam fl6c - Tdng BiSn t$p: (04) 39715011 Quin ly xuat b£n: (04) 39728806 BiSn t$p: (04) 39714896 K9 thu$t xuit bAn: (04) 39715013 Giam

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