PDF Reducer Demo version Mai Thi Ngpc Ha vd Dtg Tap chi KHOA HOC & CONG NGHE 163(03/1) 8 3 8 DOI MOfl NOl DUNG VA PHU''''OfNG PHAP DAY HOC PHAN THONG KE TOAN HQC CHO SINH VIEN KHOA CHAN NUOI THU Y TAI TR[.]
Mai Thi Ngpc Ha vd Dtg Tap chi KHOA HOC & CONG NGHE 163(03/1) - DOI MOfl NOl DUNG VA PHU'OfNG PHAP DAY HOC PHAN THONG KE TOAN HQC CHO SINH VIEN KHOA CHAN NUOI THU Y TAI TRU'OfNG DAI H O C NONG LAM - DAI HOC THAI NGUYEN Mai Thi NgQc H a ' , Biii Linh Phirong Tnrdng Dgi hgc Nong Ldm - DH Thii Nguyen TOM T A T Thdng ke toan hpc la mpt nganh khoa hoc dya tren ca sd phin tich, xii Iy sd lieu va nit ket luan thyc tien tat ca cac ITnh vuc cua doi sdng Do dd viec day hpc phan Thong ke toan hpc d trudng dgi hpc phai gan hen vdi nganh nghe dao tao, sinh vien hoc xong mon hpc phai c6 kl n3ng •xii ly sd lieu va phan tich sd heu phyc •vy cho nghien cim khoa hoc va giai quyet cac vSn de ve chuyen mdn Bai bao nh3m dua mflt sd v^n dS ddi mdi npi dung va phuong phap day hpc hoc phan Thdng kfi toan hpc cho sinh viSn khoa Chan nuoi thii y tai trudng Dai hoc Nong lam - Dai hoc Thai Nguyfin Tir khoa: Thong ke todn, phan mim R Dgi hoc Ndng ldm Thdi Nguyen, Ngi dung vd phuang phdp, Chdn nuoi thiiy DAT VAN DE Trong khuon kho ciia Chucmg trinh trpng diem qude gia phat trien Toin hpc giai doan 2010 -2020, Vien Nghien ciiu cao cap ve toan da td chiie hoi thao "Npi dung vi phuong phap giang dgy thdng ke toan hpe" tgi Nha Trang va Phii Thp Mdt sd van de bat cap nhu giing day Thdng ke toin hpe theo loi truyen thdng mang nang ly thuydt hin Iam, ehua gan dupc mdn hpc vdi ung dung thuc tien ciia no da duac ehi hpi thio Cd the ndi npi dung va phucmg phip giang dgy Thong ke toan hpe d Viet Nam da di ehgm hon so vdi the gidi, dd viee ddi radi ndi dung vi phuang phip giang dgy mdn hpe trd thinh yeu cau biic thiet vdi eae trudng dai hoe ea nude, dd cd Tmdng Dai hpe Ndng Lam - Dgi hpc Thai Nguyen Myc dich cua bai bio li nghien ciru van de ddi mdi npi dung va phuang phip giang day Thdng ke tpan hpc cho sinh vien Khoa Chan nudi thu y ciia Tmdng Dai hpc Ndng Lara Cu thd la: ddi mdi ndi dung radn hoc Thdng ke toin hpc phai gan lien vdi thuc tien nginh CNTY & TY; ddi mdi phuang phip giang dgy bit dau tir viee day sinh vien each su dyng phan mem thdng ke R xu ly, phan tich sd lieu thdng ke ehuyen nganh Mac du Tel 0962 5S6083, Email maiha bomonloan@gmail com hipn tren the gidi, cd nhieu phan raem thdng ke nhu SPSS, STASTA, SAS, MINITAB, nhung sd dT chiing tdi lya ehpn phan mem thdng ke R de day eho sinh vien vi day la phan mera nhat mien phi ma van ed the dip iing nhu eau hoc tap va nghien ciiu cua sinh vien ciing nhu nhirng ngudi lam thdng ke ehuyen nghiep Dac biet R la phan mem ma ngudn rad, de cii dat, chgy duac tren nhidu he dieu hinh khic nhau, cd rapt he thdng cd day du cic tro giup, tien ieh va la rapt ngdn ngu raanh, cii phip de hpc Bii bio gdm phan Ngoai phin Dat van de va Ket luin, phan Npi dung de xuat thay ddi mpt sd van de de cuong chi tiet mdn hpe, gidi thieu mpt sd bai toan thyc tien linh vyc Chan nudi thii y theo tung ehuong cua hpc phan Thdng ke toin hoc va hudng dan sinh vien giii quyet cic bii toan tren bang phan mem R, NOI DUNG Doi mdi noi dung hoc phan thong ke Toan hoc Vi ph&n hd thdi gian de cuang mdn hge: Thdng ke toin hpc Ii mot phan ndi dung mdn hpe Xac suat - Thdng ke, de cuong chi tiet mdn hpc duge thiet ke dya tren khung ehuong trinh ciia Bd GD & DT dua ehung eho cae tmdng Dai hpc, Hien de cuang chi tiet eiia hpc phan gdm tin chi 83 Mai Thi Ngoc Ha va Dtg Tap chi KHOA HOC & CONG NGHE 50% thdl Iupng cho Xac suat, 50% cho Thdng ke Sau nghien cuu cic bai giang, giao in, giao trinh, eac de tai nghien ctiu khoa hpc ehuyen nganh (3NTY& TY, ket hop vdi vipe to ehirc cic seminar chuyen de cd sy tham gia, cd van eiia eac GS, PGS, giing vien Khoa CNTY, chiing tdi de xuat xay dyng lai npi dung hpe phan thdng ke toan hpe rieng eho nganh vdi thdi Iupng 01 tin chi Xie suit vi 02 tin ehi Thdng ke Sd di chiing tdi lya chpn nhu vay vi nginh CNTY & TY su dyng nhieu den kien thirc ve cic qiiy luat phan phdi xie suit, cich lay mau, phuong phap chpn raau, thdng ke md ti, cic bai toin CO ban ve ude Iupng, kiem dinh, tuang quan vi hdi quy tuyen tinh Trong dd bii toin so sinh hai gii tri trang binh, phan tich phuang sai (ANOVA), tinh tan sd tich liiy, trung binh mau, dp lech chuan, sai sd chon mau duoe sir dyng thudng xuyen de phan tich, xii ly sd li?u thu thgp dupc cie de tii nghien eiiu khoa hpc cae cap, eac dy in chuyen giao khoa hpc cdng nghe, Ve ngi dung cua di cuang mon hoc: Phan Xae suit dupe gidi thipu so lupe ve phep thir, bien CO, cic dinh nghta, dinh Iy ve xac suat va tap tmng chii yeu giing dgy phan cic quy luat phan phoi xac suat thdng dung Phan Thdng 3TT(a 320 10 m^ 2100 srrfg) 340 lomz) 2100 3T[(g) 320 lOTTOO 1900 350 1900 3S0 2050 340 2000 330 2400 330 2000 330 2300 300 2000 330 2000 340 2400 320 2300 320 2100 Ban{ 340 2100 320 2000 ke toan hpc, ngoii eae bii toin ca bin nhu ude Iupng tham sd, kiem dinh gia thuyet thdng ke, tuang quan va hdi quy tuyen tinh can bd sung them mdt so khii niem ve sai so tieu chuan (Standard Eiror), he sd bien dpng (Coefficient of Variation) rit cd y nghTa phan tieh thdng ke chuyen nginh, vi cdc bdi loan thue tien ieng dung ngdnh CNTY& TY Ngoai phan kien thiic ly thuyet ehung ciia moi chucmg, de sinh vien nganh CNTY & TY cd the vgn dyng kien thiie Thdng ke toin hoe thiet ke thi nghiera, xir ly, phan tich sd lieu de dua ket luan thdng ke, iing vdi moi ndi dung hoe phin chiing tdi de xuat dua vio cic vi du thuc te ve theo ddl chi tieu sinh tmdng ciia gia siic, gia cam, ve tie dyng cua thudc khang sinh, ve cac thi nghiem dinh gia giong, loii, ve tic dyng ciia loai men vi sinh den sinh tradng, Ching han, d ehuong tdng the, mau, cac dac tmng cua mau ngau nhien, sinh viSn dupc tiep can giii quyet bii toin' "Di ddnh gid khd ndng smh trudng ciia giong gd Luang phuang duac nudi tgi trgi gd thudc Dong Bdm, Ddng Hy, Thdi Nguyin, cdn lugng gd a tudn ddu theo dot (gd tudn tuqi) vd trgng lugng gd nuoi 10 ludn tudi ta thu dugc bdng so lieu sau: 310 2000 300 2400 350 2000 340 2000 330 2300 330 2300 330 2100 340 2000 300 2100 330 2000 330 2000 300 ' 2100 340 2m 340 2100 Hdy tinh eac tham so trung binh mdu, dd lich chudn mdu trung vi Ddi vdi ehuong ude Iupng tham sd, kiem dinh gii thuyet thdng ke, de danh gia hieu qui eua yi?c Sli dyng men vi sinh khau phan thiic an eho rapt gidng gi, dinh gii hieu qui cua viec lai tao gidng Ipn, hipu qui eua viee tiem phdng benh dich, ngudi ta thudng thiet ke thi nghiem vi sit dung bai toin udc luang, so sinh hai gia tri trang binh thdng ke toin hoe de cd co sd phan tich, ket luan eho van de nghien cuu Vi the chiing toi dua cie bai toin tuang ty nhy sau: "0^ kiim Pa hieu qud cda viic sir dung men Laetos 4% khdu phdn thirc dn cho gd, ngudi ta bo tri thi nghiim tren Id gd luang phugng (Id ddi chieng (DC) vd Id thi nghiem (TN) cd bd sung men Laetos 4%, mdi lo 30 con, cd ddng deu vi khdi luang, sire khde chan vai khdu phdn thitc dn nhu nhau, tiem phdng dich benh nhu Sau 10 tudn ngudi ta cdn thie trgng lucmg gd d Hidi Id va thu dugc bane s6 liiu sau Mai Thi Nggc Ha vd Btg Tap chi KHOA HOC & C6NG NGHE 163(03/1) 83-88 Bane 2100 2000 2300 2000 2000 2000 2300 2200 DC 2000 2000 1900 2400 2000 2000 2000 2200 2000 2100 2300 TN 2500 2200 2000 2100 2300 2200 2100 2000 2400 2200 2000 DC 2400 2100 1900 2100 2300 2100 2200 2000 2000 2200 2200 TN 2300 2300 2100 2000 2200 2150 2200 2200 2200 2100 2300 2100 2200 2150 2000 DC TN 2100 2300 2400 2300 a) Tim khodng tin cdy ddi xirng cho trgng Iupng trung binh cua gd Luang Phuang 10 tudn tudi a 16 DC vd 16 TNvai tin cdy 95% b) Hay eho ket lugn ve hieu qud eda viee su dung men Laetos vdi mire y nghia 5% Cudi cung, ddi vdi chuong tuang quan vi hdi quy, CNTY & TY khdng nhung can biet hai bien sd cd quan hp vdi hay khdng mi cdn can phii bidt logi.quan he gma chiing de cd the tu mdt gia tri eua bien sd du doan dupe gia tri ciia bien sd edn lgi chang hgn mdi quan he giiia sin Iupng siia eiia ddi bd me vi sin Iupng siia cua ddi bd con, giira khdi luong qui tning ga va dudng kinh Idn qui tning, giua khdi luang vdi sd vdng ngye d trau, la radi quan he tuang quan tuyen tinh Sinh •vien se duoe hpe each giii quyet eie bai toin tucmg tu nhu "Do ludng tfi li mce sira ciia ddi (y)vddcn me {x)ciia 10 cdp home tathu duac bdng s6 liiu sau: Bang Tyle ma Mem saa% Con(Y) \ 3.5 a) Tinh hi so tuong quan mdu; b) Viit phucmg trinh ducmg hdi quy tuyen tinh cuaty li sUa theo le sira cua me mera thdng ke xii ly sd lieu thong ke thi Doi mdi phu'orng phap giang day hpc phan kl nang tinh toin khdng edn la van de Idn, Thdng ke toin hoc dd giang vien cd the tgp tmng thdi gian de Vdn di gidng day phdn mem thong ki irong phan tich bin chit, y nghia cic bii toan, cac hoc phdn Thdng ki Id cdn thiit, phii hgp vdi khii nipm, ki hieu, cie sd, tii dd nang eao xu thi phdt tnin Viec giang day Thdng kS ning lyc van dung thyc tien cho sinh vien toin hpc theo cich day cu ehu yeu day smh Hem the niia phin mem eho phep chiing ta vien each tinh toin thii cdng thdng qua lgp lira vipc vdi cd mau ldn, ma phan tieh bing tinh, sinh vien chi biet sir dyng may tinh thdng ke, cd mau anh hudng trye tiep den bd tui de thyc hien cie phep toin dan gian raiie d$ sai sd cua ket luan thdng ke, cd mau Do dd nd tgo rat nhieu hgn che nhu giang cang Idn thi dp chinh xie cang cao, Trpng hau vien chi tap tmng duac vio ki nang tinh tpin, het cic de tai nghien ciiu khoa hoc eae cap, khdng cd thdi gian phan tich nhidu ve bin eae bai bgo nude va quoc te, cic so lieu chit, y nghla eua cic khai niem, cic sd thdng ke dua deu dupc phan tich bang phan thyc te; sinh vien tiep thu mdt cich thy ddng, khdng hieu can ke van de, khdng giii mem thdng ke, dd de nang eao nang luc thieh dupc cic sy kien, eon sd tinh toin dupc van dung thuc tien, nang Iye nghien ciiu khoa Dac biet viec tinh toin thii cdng se tdn rat hpe cho sinh vien thi vipc giing day cho sinh nhieu cdng sue, thdi gian, dd chinh xie thap, vien biet phan tieh va xir Iy sd lieu thdng ke tham chi khdng the tinh dupc kieh thudc tren phan mera la yeu cau rat can thiet mau rat ldn De khac phue van de chiing Viee gidng dgy phdn mem R dugc ldng ghip tdl de xuat dgy phan mem thdng ke cho sinh vdo m6i chuang cua hgc phdn thdng ke loan vien Phan mera ehiing tdi lua chpn giang day hoc Ngoii phin hudng dan eai dgt, sir dung cho sinh vien la phan mem R, vi day la phan chung, ea ban, eac Ipnh ve xu Iy sp lieu thong mdm cd nhieu uu didm, phii hpp vdi trinh dp ke dey dupe day ghep vao timg chuong, gan sinh vien eda tmdng Dai hpe Ndng Iam - Dai vdi moi ndi dung cu the Moi bai toan thdng hpe Thai Nguyen Bang viec sir dung phan ke ca bin deu dupc trinh bay theo trinh tu ca 85 Mai Thi Nggc Ha vd Dtg Tap chi KHOA HOC & CONG NGHE 163(03/1), - Iupng trang binh da dgt 2105+ I46,423(g), sd toan hpc, cii phip R, vi dy minh hoa sinh •vien cd the danh gia rang giong ga Moi vi dy minh hpa deu dupc phan tieh ehi Luong Phupng tang trpng lypng tuong ddi tiet tren co sd toan hpc, dogn ma lenh thuc nhanh hem so vdi ga ri tai dia phuang hi?n tren R, phan tich ket qui hien thi tren R De tim khoing tin cay ddi xiing cho trpng va dua ket Iuan Ching hgn, de tinh trpng Iupng trang binh eiia gi Luong Phuang 10 Iupng trang binh, dp lech chuan, trang vi eho tuin tudi d Id ga DC va Id gi TN (Bing 2), gidng ga Luang Phuang tuan tudi v i 10 dau tien sinh vien duac hudng dan phan tieh tuin tudi d Bing ta thue hien doan lenh tren bai toan: Kieh thudc mau ldn n =30, chua biet R nhu sau phuang sai vi tong the cd phan phoi chuan, > # Nhdp dU lieu gd Luang Phugng tudn nen khoang tin cay cho Iupng tmng binh tu6i bdng linh gdn dot tugng sau cua gidng ga Luang Phuong 10 tuan tuoi duac > LP3TT = c(320, 350, 330, 300 , 340, tim qua him t test vdi cii phip lenh nhu sau 310 350 330, 330, 300, 330, 340, 320, 340, 350 330 330, 320, 320, 300 340 330, 340, t.test(x, conf.level) 330 300 340 340 330, 340) Trong do: X Ii vecta du lieu mau; conf.Ievel > # Lenh sau ggi ddi tuang LP STT Ii dp tin cgy cua khoing udc Iupng, dupe mac >LP3rT dinh la 0.95, > # Lenh tinh ede gid tri trung binh dd Ta thuc hien dogn lenh sau tren R de tim lich chudn trung vi vd phdn mim R hiin thi khoing tin cay ddi xiing cho Id ga DC ludn ket qud: > # Nhgp dd: heu vdo phdn mem R > mean(LP3TT) > DC ^ c(2000 2000 1900 2400, 2000 [If 328.3333 2100 2000, 2000, 2000, 2200, 2000, 2100, 2300 2400 1900 2100, 2100 2300 2000, > sd(LP3TT) 2000 2100 2200 2000, 2000, 2200 2200 fl] 14 87496 2100, 2200, 2150 2000) > median(LP3TT) ># Kiim tra dir lieu nhdp vdo [If 330 >DC De tinh cic gii tn tmng binh, dd lech chuan, [Jf 2000 2000 1900 2400 2000 2100 tmng vi cho ga Lucmg phupng 10 tuan tudi 2000 2000 2000 2200 2000 2100 2300 cung nhgp Ipnh tucmg ty, thu dupc 2400 1900 2100 2100 2300 2000 2000 >LP10TT = c(2I00 1900 2400 2000 2100 2200 2000 2000 2200 2200 2100 2200 2300 2100 2000, 2000 2300, 2100, 2100, 2150 2000 2000, 2100 1900, 2100 2050, 2000 > t.test(DC.eonf.level ^0.95) 2000,2100, 2000, 2400, 2000, 2300, 2000, One Sample t-test 2000 2100, 2100 2000, 2300, 2400) data: DC >LPlOTr t = 86.461, df= 29, p-value < 2e-I6 > mean(LPlOTT) alternative hypothesis: true mean is not [1]2I05 equal to > sd(LPJOTT) 95 percent confidence interval: [If 146 4229 2048 698 2147.969 > median(LPWTT) sample estimates: [If 2100 mean ofx Lpnh tinh toin bang phin mem R dan giin, 2098.333 dp chinh xac eao Nhin vao luang trang Theo ket qui phan raem R cho ta khoing tin binh cua ga Luang Phupng tuan tuoi cgy cho luang tmng binh ga Luong 328.3+14,875 (g) den 10 tuan tudi trpng 86 Mai Thi Ngpc Ha vd Dig Tap chi KHOA HQC & CONG NGH$ Phupng 10 tuin tudi d Id DC, vdi tin cay 95% nim khoing (2048.698, 2147.969) (g), vdi trang binh man la 2098,333 (g) Cich lira hoan toan tuong ty vdi Id gi TN ta thu dupe ket qui' One Sample l-test data: TN t = 91.479, df= 29 p-value < 2.2e-16 alternative hypothesis: true mean is not equal to 95 percent confidence interval: 2149.184 2247 482 sample estimates: mean ofx 2198.333 Id TN, trpng luong trang binh cua gi Luang Phuang 10 tuan tuoi vdi dp tin cgy 95% nim khoang (2149.184, 2247.482) (g) va trang binh mau 2198 333(g) Tit day sinh vien cd the so sanh giira trpng luang tmng binli ciia gi d Id va cd du doan ban dau men Laetos cd hieu qui vipc Iam tang lucmg cua gi De cd co sd khoa hpc eho du doin tren Ii diing hay sai sinh vien se tien hinh bai toan kiera dinh gii thuyet ve gii tri trung binh eiia tong the, tmdng hgp ehua biet phuang sai, gia thiet bien ngau nhien phin phdi chuan Y b) ciia bai toan yeu eau so sanh tmng binh tdng the vdi phuang sai chua biet nhung gii thiet li bang nhau, cy the Ii so sanh trpng luong tmng binh eiia gi Lucmg Phuang 10 tuan tudi d Id DC vi Id TN, dir lieu da cu the nen diing ham / test de dua ket Iuan vdi cii phip li t.test(x,y mu, alternative, var equal =True) Quy trinh kiem djnh nhu sau Budc I: Goi /i^/Jjlin luat li Iupng tmng binh ciia ga Luang Phuang 10 tuan tudi d Id DC va TN Khi do, ta kidm dinh cap gia thuyet Bude 2: Ta dimg hara t.test vdi cae thara sd can thiet duae eho nhu sau 163(03/1) 83-8 - X, y li cie vecta du lieu ve Iupng mau d Id DC vi TN, - mu=0; altemative= "less", - var.equal =TRUE Budc 3; Thue hien lenh kiem dinh tren R >U Nhap dii Heu DC, TN gidng y a) >/, tesl(DC TN mu=0.alt= "less ", var.equal=T) Two Sample t-test data: DCandTN t = -2.9279, df= 58 p-value = 0.002434 alternative hypothesis true difierenee in means is less than 95 percent confidence interval -Inf-42 91029 sample estimates: mean ofx mean ofy 2098.333 2198333 Bude 4: Phan tich ket qui tren R Dya vao p-value =0.002434# Nhdp du hiu ty le ma sii-a me vd vdo R >Me - c(3 3.8, 4.0, 3.0, 3 3.8.3.1.3.0) > Con = c(3 9, 3.3, 3.7, 3.4, 3.6, 4.0,3.4.3.1) > TyLeMoSua = dala.frame (Me Con) ># Tinh he sd tuang quan mdu > cor(Me.Con) [If 9346166 87 Mai Thi Nggc Ha vd Dig Tap chi KHOA HOC & C N G N G H E ># W&e lugng cde he sd ciio phuang hdi quy tuyen tinh > lm(Con~Me trinh data^TyLeMoSua) Call: lm(formula Con Me data TyLeMoSua) Coefficients: (Intercept) Me 1.2194 0.6853 Nhu vay, ta cd he sd tucmg quan mau giira ty Ip md siia rae va ty Ip md sua eon l i 0.9346166 Phuong trinh dudng hdi quy binh phuang trang binh tuyen tinh thue nghiem ciia ty Ie rad siia theo ty lp rad siia me la ; ' = x - l - De sinh vien t h i y dupe mpt c i c h t m e quan moi quan he tuyen tinh giira yva x, ehiing tdi cd the minh hpa bing bieu phan tan va dudng hdi quy raau bang Ipnh sau day tren R > plot(Me, Con) > hoiquy TyLeMoSua) > lm(Con-~Me, data= abline(hoiquy) KET LUAN Vipe ddi radi ndi dung phan thdng ke toan hpc g i n lien vdi thuc tien nginh CNTY & T Y ket hpp vdi viec giang dgy phan raem thong ke R khdng nhiing gdp p h i n tgo hirng thii hpe t i p cho sinh vien Khoa CNTY ma quan trpng han la cung c i p cho sinh vien phuang phap, cdng cy phan tieh, xu Iy sd lieu thdng ke, t i tgo tien de de sinh vien hpc tap mon ehuySn nginh, tham gia eac de t i i NCKH danh cho sinh vien tir nam thii Vi?c sinh vien ed nang lye phan tieh, xu ly sd lieu thdng ke khdng nhiing phuc vy cho nhipm vy nghien cim, hpe tap t m d c m i t ma cdn phuc vy cho cdng viec, hpc tap ehuyen mdn Iau dai, sudt ddl T A I L I E U THAM K H A O Dd Diic Luc, Bdi gidng phuang phdp thi nghi?m CNTY & TY, Dgi hoc Nong nghi?p I Ha Npi Phan Thanh Hdng, Nguyin Thi Nhung (2015), Thong ke img dung hudng ddn thuc hdnh Iren phdn mim R, Nxb Thdng ke 3, Khoa CNTY, Bdi gidng Phuang phdp Ihi nghiem CNTY, Dai hpc Ndng Lam Thai Nguyen 4, Wackerly, Mendenhall, scheaffer, Mathematical Statistics -with Application Roger D Peng, Statistical methods for enviromental epidemiology with R Hogg, Mckean, Craig, Introduction to Mathematical Statistics 7-Nathabandu T Kottegoda, Applied Statistics for Civil and Enviromental Engineers Helmut van Emden, Statisticsfor terrified btolo^st, JohnVerzani, VsingR for introductory Statistics 10, R Mead R N Curaow and A M , Hasted, StatisUcal methods in Agriculture and experimental biolog SUMMARY I M P R O V I N G T H E C O N T E N T S AND T E A C H I N G M E T H O D S F O R MATHEMATICAL STATISTICS MODULE FOR STUDENTS O F V E T E R I N A R Y HUSBANDRY A T T H A I NGUYEN U N I V E R S I T Y O F AGRICULTURE AND FORESTRY Mai Thi Ngoc H a ' , Bui Linh Phuong University ofAgnailttire and Forestry - TNU Mathematical statistics is a the tool of data analysis and processing m al! areas of study and life Therefore, teaching this subject af university should be attached with training sectors After studying the subject, students should have the skills of anlalyzing and processing data for scientific researches or to deal with specialised majors The article aims to give innovation issues of the contents and teaching methods for mathematical statistics module for students of vetennary husbandry at Thai Nguyen University of Agnculture and Forestry Key words: mathematical statistics, software R, Thai Nguyen University of Agriculture and Forestry, content and teaching methods, veterinaryl husbandry Ngdy nhgn bdi: 19/10/2016; Ngdy phdn bien: 08/11/2016; Ngay duyit ddng: 31/03/2017 Tel: 0962 586083, Email: maiha.bomontoan@giiiail com