As recommended by Central Board of Studies and Approved … · Gupta & V K Kapoor Fundamentals of Mathematical Statistics Sultan chand & Co. 2. ... S. C. Gupta & V K Kapoor Fundamentals

1

Department of Higher Education, Govt of M.P.

Semester wise Syllabus for Under Graduate As recommended by Central Board of Studies and Approved by HH the Governor of M.P.

Class : chchchch----,,,,----@ch@ch@ch@ch----,l,l,l,l----lhlhlhlh---- I

Subject : lkaf[;dhlkaf[;dhlkaf[;dhlkaf[;dh

Paper Title : fooj.kkRed lkaf[;dh ¼izFke iz�ui=½fooj.kkRed lkaf[;dh ¼izFke iz�ui=½fooj.kkRed lkaf[;dh ¼izFke iz�ui=½fooj.kkRed lkaf[;dh ¼izFke iz�ui=½

Semester : I ( 101) vf/kdre vad % 50

bdkbZ &,d % lkaf[;dh dh ifjHkk"kk] {ks= vkSj lhek,aA lakf[;adh lef"V ,oa lef"V ls fy,

x, U;kn�kZ%A leadks ds izdkj ¼lrr~ vlrr~ vokLrfod vkSj Øelwpd lead½

fofHkUu izdkj dh ekiuh&vkokLrfod ØelwpdA

bdkbZ & nks % izkFkfed ,oa f}fr;d lead] ladyu dh fof/k;kWa ¼izkFkfed ,oa f}fr;d lead½

vuqlwph ,oa iz�ukoyh dh jpuk] iw.kZ lax.kuk ,oa Hkkjrh; tux.kuk dh lkekU;

tkudkjhA

bdkbZ & rhu % lkaf[;dh; ds dk;Z ¼ leadks dk oxhZdj.k ,oa lkj.kh;u½ leadks dk fp=e; ,oa

fcUnqjsf[k; izn�kZu A

bdkbZ & pkj % ifjek.kkRed vkadMksa dk fo�ys"k.k & dsanzh; izo`fRr ,oa vifdj.k ds ekiA

bdkbZ & ikWp % fo"kerk vkSj dqdqnrk rFkk muds os eki v/kw.kZ] 'ksikMZ dk la�kks/ku A

lanHkZ iqLrds %

1. S. C. Gupta & V K Kapoor Fundamentals of Mathematical Statistics

Sultan chand & Co.

2. B L Agrawal Basic Statistics New Age 3- ch-,y-vxzoky Lkaf[;dh fof/k;ka

4- ch-,y- vxzoky Lkaf[;dh ds fl}kar o vuqiz;ksx jktLFkku xzaFk

vdkneh

2



Class : B.A. / B.Sc. � I

Subject: Statistics

Paper Title : Descriptive Statistics ( Paper I)

Semester : I ( 101)

Max Marks : 50

Unit � I

Definition scope and limitation of statistics. Statistical population and sample from a population. Types of

data,(Discrete, continous, nomial and ordinal data) Different types of scales � Nominal and Ordinal.

Unit � II

Primary and secondary data. Methods of collecting Primary and secondary data. Designing questionnaires

and schedules. Complete enumeration and general idea of Indian Census.

Unit � III

Functions of statistics ( Classification and tabulation of data) Diagrammatic and graphical presentation of

data.

Unit � IV

Analysis of quantitative data � measures of location and dispersion.

Unit � V

Skewness, Kurtosis and their measures, Moments. Sheppard�s correction.

Books �

1. S. C. Gupta & V K Kapoor Fundamentals of Mathematical Statistics Sultan

chand & Co.

2. B L Agrawal Basic Statistics New Age

3- ch-,y-vxzoky Lkaf[;dh fof/k;ka

4- ch-,y- vxzoky Lkaf[;dh ds fl}kar o vuqiz;ksx jktLFkku xzaFk vdkneh

3





Paper Title : izkf;drk fl)kar ¼f}rh; iz;ui=½izkf;drk fl)kar ¼f}rh; iz;ui=½izkf;drk fl)kar ¼f}rh; iz;ui=½izkf;drk fl)kar ¼f}rh; iz;ui=½

Semester : I ( 102) vf/kdre vad % 50

bdkbZ &,d % izkf;drk dh vo/kkj.kk % izk;fdrk dh ifjHkk"kk] lkaf[;dh ,oa fpjlEer] ØsEkj

,oa dksykeksxksjko dk vuqxeu vkSj muds xq.k nks"k A izkf;drk dh lk/kkj.k

leL;kvksa dh x.kukA

bdkbZ & nks % izk;fdrk dh ledsfrd ifjHkk"kk] ijh{k.k izfrn�kZ fcUnq vkSj izfrn�kZ lef"V]

?kVuk,a vkSj muds vkijs�kUl leku :i ls ijLij viothZ ?kVuk,a vkSj Lora=

?kVuk,a A izkf;drk dh fo�ks"krk,aA lizfrca/k izkf;drk ,oa cst izes; mRrifr ds

lkFkA

bdkbZ & rhu % ;kn`fPNd pj & vlarr ;kn`fPNd pj izkf;drk Qyu] ek=k Qyu larr

;kn`fPNd pj]] izkf;drk ?kuRo Qyu] ;kn`fPNd pj dh xf.krh; izR;k{kk vkSj

muds xq.kA

bdkbZ & pkj % vk/kw.kZ ,oa v?kw.kZ tud Qyu vkSj mudh xq.k ,oa ,I;ksx] xf.krh; izR;k{kk ds

lkFk ¼ek/; dh ekisaA vifdj.k dh ekisaA fo"kerk ,oa ddqnrk dk ekisaA

bdkbZ & ikWp % vlarr izkf;drk caVu vkSj muds xq.k ]A f}in caVu] Iokalka caVu] vfrxq.kksRrj

caVu _.kkRed f}in caVuA

lanHkZ iqLrdsa %lanHkZ iqLrdsa %lanHkZ iqLrdsa %lanHkZ iqLrdsa % 1. S. C. Gupta & V K Kapoor Fundamentals of Mathematical Statistics Sultan

chand & Co.




4




Subject: Statistics

Paper Title : Probability Theory Paper - II

Semester : I (102)

Max Marks : 50

Unit � I

Concepts in Probability � Definition of probability. Classical, relative, Chramer and kolmogorov approaches their merits and demerits. Computation of simple problems of probability.

Unit � II

Axiomatic definition of probability, trials, sample point and sample space. Events and their operation. Mutually exclusive, exhaustive equally likely and independent events. Properties of probability. Conditional probability and Bayes� theorem ( with proof)

Unit � III

Random variables � discrete random variable and probability mass function. Continuous random variables and probability density function, mathematical expectation of random variable and its properties.

Unit � IV

Moments and moment generating function their properties and uses. Measures of location � dispersion skewness and kurtosis through mathematical expectations.

Unit � V

Discrete probability distribution and their properties Binomial, Poisson, Hypergeomatric and Negative, Binomial distribution. lanHkZ iqLrdsa %lanHkZ iqLrdsa %lanHkZ iqLrdsa %lanHkZ iqLrdsa % 1. S. C. Gupta & V K Kapoor Fundamentals of Mathematical Statistics Sultan

chand & Co.




5

dsUnzh; v/;;u eaMy }kjk vuqdsUnzh; v/;;u eaMy }kjk vuqdsUnzh; v/;;u eaMy }kjk vuqdsUnzh; v/;;u eaMy }kjk vuq�kaflr Lukrd ikB~;Øe dh ijh{kk ;kstuk�kaflr Lukrd ikB~;Øe dh ijh{kk ;kstuk�kaflr Lukrd ikB~;Øe dh ijh{kk ;kstuk�kaflr Lukrd ikB~;Øe dh ijh{kk ;kstuk

d{kk % Lukrd izFked{kk % Lukrd izFked{kk % Lukrd izFked{kk % Lukrd izFke fo"k; &% lkaf[;dhfo"k; &% lkaf[;dhfo"k; &% lkaf[;dhfo"k; &% lkaf[;dh

l-Ø- Lk= iz'ui= iz'ui= dj 'kh"kZd vf/kdre vad dqy ;ksx

1 izFke l= izFke fooj.kkRed lkaf[;dh fooj.kkRed lkaf[;dh fooj.kkRed lkaf[;dh fooj.kkRed lkaf[;dh ¼101½ 50

f}rh; izkf;drk fl)kar izkf;drk fl)kar izkf;drk fl)kar izkf;drk fl)kar ¼102½ 50 100

izk;ksfxd 50

ifj;kstuk 50 100

ifj;kstuk %

• dk;Z dk ewY;kadu izFke l= esa 50 vad ds fy, gksxk rFkk f}rh; l= esa 50 vad

ds fy, gksxkA

• fo|kFkhZ dks ifj;kstuk dk izfrosnu tek djuk gksxkA lkFk gh ftl laLFkku esa

ifj;kstuk ij dk;Z fd;k x;k gSA mldk izek.k i= Hkh izfrosnu esa layXu djuk

gksxkA

• izFke l= esa ifj;kstuk dk ewY;akdu vkUrfjd ijh{kd }kjk fd;k tk,xk rFkk

f}rh; l=h; ifj;kstuk dk ewY;akdu ckg~; ijh{kd ds lg;ksx ls vkarfjd

ijh{kd }kjk fd;k tk,xkA

6

Scheme of Practical Examination

1. There will be one Practical paper of four hours duration.

2. Total marks � 50

a. One major experiment of 16 marks

b. Two minor experiments each of 10 marks

c. Sessional marks based on record � 8 marks

d. Viva � Voice � 6 marks

izk;ksfxd dk;Z ewY;kadu ;kstukizk;ksfxd dk;Z ewY;kadu ;kstukizk;ksfxd dk;Z ewY;kadu ;kstukizk;ksfxd dk;Z ewY;kadu ;kstuk 1- pkj ?kaVksa dk ,d izk;ksfxd iz�ui= gksxkA

2- iw.kkZad - 50

,d estj iz;ksx 16 vad

nks ekbuj iz;ksx 10 vad

Izk;ksfxd fjdkMZ 8 vad

ekSf[kd iz�uksRrj 6 vad

7





Paper Title : caVu fl)kar ¼izFke iz�ui=½caVu fl)kar ¼izFke iz�ui=½caVu fl)kar ¼izFke iz�ui=½caVu fl)kar ¼izFke iz�ui=½

Semester : II (201) vf/kdre vad % 50

bdkbZ & ,d % lrr izkf;drk caVu muds xq.k vkSj mi;ksx& ,d leku] izlkekU; vkSj dkW�kh

caVu A

bdkbZ & nks % ykIykl] pj?kkrkadh caVu] dkbZ&oxZ] chVk ,oa xkek caVu rFkk muds xq.kA

bdkbZ & rhu % f}pj izlkekU; caVu] mikar ,oa lizfrca/k caVu 'ksoh�kso dh loZlehdk ¼dsoy

dFku½

bdkbZ & pkj % o`gr la[;kvksa dk nqcZy fu;e] dsUnzh; lhek izes; ¼fyaMcxZ ,oa ysfo] fy;ksQukQ

vkSj fMek;oj½

bdkbZ & ikWp % Øfed izfrn�kZt mlds caVu ,oa xq.kA

lanHkZ iqLrds %


chand & Co.


3- Goon, Gupta & Das Gupta Fundamental of Statistics Vol.- 1-2 Worls Press

Kolkate



8


Semester wise Syllabus for Under Graduate

As recommended by Central Board of Studies and Approved by HH the Governor of M.P.


Subject: Statistics

Paper Title : Distribution Theory ( Paper � I)

Semester : II (201)

Max Marks : 50

Unit � I

Continous probability distribution their properties and uses � uniform, normal and Cauchy distribution

Unit � II

Laplace , Exponential, Chi-Square, Beta and Gamma distribution with their properties.

Unit - III

Bivariate normal distribution and its Marginal and conditional distribution thory Techebychev�s inequality

( Statement only).

Unit - IV

Week law of Large numbers. Central limit theorem ( Linderbereg & Lavy, Liapaunoff and De - moiver)

Unit �V

Order Statistics � Their distribution and properties

Books :

1. S. C. Gupta & V K Kapoor Fundamentals of Mathematical Statistics Sultan chand

& Co.



Kolkate



9





Subject: Statistics

Paper Title : Discerptive Statistics - II ( Paper II)

Semester : II (202)

Max Marks : 50

Unit � I

Bivariate data � Scattered diagramme, product moment correlation coefficient and its properties and uses,

coefficient of determination.

Unit � II

Spearman�s rank correlation ( including repeated ranks) fitting of curves. Principle of least squares.

Unit � III

Regression, fitting of regression lines, concept of error in regression.

Unit � IV

Multiple, partial correlation and multiple regression analysis ( for three variable only) properties of

residues.

Unit � V

Theory of attributes � independence and association of attributes, consistency of data measures of

association for two and three way classified data.

Books :


& Co.



Kolkate 4- ch-,y-vxzoky Lkaf[;dh fof/k;ka


10





Paper Title : foojk.kkRed laf[;dh ¼f}rh; iz�ui=½foojk.kkRed laf[;dh ¼f}rh; iz�ui=½foojk.kkRed laf[;dh ¼f}rh; iz�ui=½foojk.kkRed laf[;dh ¼f}rh; iz�ui=½

Semester : II (202) vf/kdre vad % 25

bdkbZ & ,d % f}pj vkadMs & izdh.kZ vkjs[k xq.ku vk/kw.kZ lglaca/k vkSj blds xq.k vkSj mi;ksxA

fu/kkZj.k xq.kkad A

bdkbZ & nks % Lih;jesu dksfVZ lglaca/k ¼ iqujko`fRr dksfV lfgr½ U;wure oxksaZ dk fl}kar rFkk

oØska dk vklatuA

bdkbZ & rhu % izfrxeu] izfrxeu js[kkvksa dk vklatu izfrxeu js[kkvksa dh =`fV dh vo/kkj.kkA

bdkbZ & pkj % cgqxq.k ,oa vkaf�kd lglaca/k vkSj cgqxq.k izfrxeu fo�ys"k.k ¼rhu pjksa ds fy,½

vo�ks"kksa ds xq.kA

bdkbZ & ikWp % xq.kksa ds fl}kar] xq.kksa dh Lora=rk leadks dh laxrrk xq.kksa dh eki nks vkSj rhu

oxhZdj.k ds fy,

iqLrds %


chand & Co.



Kolkate

4- ch-,y-vxzoky Lkaf[;dh fof/k


11

dsUnzh; v/;;u eaMy }kjk vuq�kaflr Lukrd ikB~;Øe dh ijh{kk ;kstukdsUnzh; v/;;u eaMy }kjk vuq�kaflr Lukrd ikB~;Øe dh ijh{kk ;kstukdsUnzh; v/;;u eaMy }kjk vuq�kaflr Lukrd ikB~;Øe dh ijh{kk ;kstukdsUnzh; v/;;u eaMy }kjk vuq�kaflr Lukrd ikB~;Øe dh ijh{kk ;kstuk

d{kk % Lukrd izFked{kk % Lukrd izFked{kk % Lukrd izFked{kk % Lukrd izFke fo"k; &% lkaf[;dhfo"k; &% lkaf[;dhfo"k; &% lkaf[;dhfo"k; &% lkaf[;dh

l-

Ø-

Lk= iz'ui= iz'ui= dj 'kh"kZd vf/kdre vad dqy ;ksx

1 f}rh; l= izFke caVu dk fl}kar caVu dk fl}kar caVu dk fl}kar caVu dk fl}kar ¼201½ 50

f}rh; foojk.kkRed lkaf[;dhfoojk.kkRed lkaf[;dhfoojk.kkRed lkaf[;dhfoojk.kkRed lkaf[;dh � II ¼202½ 50 100

izk;ksfxd 50

ifj;kstuk 50 100

ifj;kstuk %


ds fy, gksxkA



gksxkA




12




Session 2009 � 2010

Class : B.A. / B.Sc. � II

Subject: Statistics

Paper Title : Statistical Methods � I

Semester : III ( 301)

Max Marks :50

Unit � I

Concept of statistic and its sampling distribution. Sampling from uniform, exponential and normal

distribution .

Unit � II

Concept of bias and standard error of an estimate, Point estimate of a parameter. Properties of a point

estimate, unbiasedness, consistency, sufficiency and efficiency.

Unit � III

Interval Estimation � concept of confidence intervals for the parameters of Univariate normal .

Unit � IV

Testing of hypothesis: statistical hypothesis - simple and composite statistical test � critical region, Type I

and Type II errors, size and power of a test, level of significance.

Unit � V

Large sample test � test for single proportion, difference of proportions, single mean, difference of means,

slandered error of an estimate.

Books :-

1. S. C. Gupta & V K Kapoor Fundamentals of Mathematical Statistics Sultan Chand

& Co.



Kolkate



13



l= 2009 & 2010l= 2009 & 2010l= 2009 & 2010l= 2009 & 2010

Class : chchchch----,,,,----@ch@ch@ch@ch----,l,l,l,l----lhlhlhlh---- II


Paper Title : lkaf[;dh; fof/k;ka lkaf[;dh; fof/k;ka lkaf[;dh; fof/k;ka lkaf[;dh; fof/k;ka - I

Semester : II ( 301) vf/kdre vad % 50

bdkbZ & ,d % izfrn�kZ dh vo/kkj.kk vkSj muds izfrp;u caVu ,d leku ,Dliksuasf�k;y vkSj

izklkekU; caVu dk izfrp;uA

bdkbZ & nks % ,d vkdyd dhsa vufHkur¼ckW;l½ vkSj izekf.kr =`fV dh vo/kkj.kk A,d izkpky esa

fcUnq vkdyu ds xq.k] vufHkuurk] laxrrk] i;kZIrrk] n{krkA

bdkbZ & rhu % varjky vkdyu& ;wuhosfj;V izlkekU; pj ds fy,A fo�o�krk vUrjky dh

vo/kkjk.kk

bdkbZ & pkj % ifjdYiuk dk ijh{k.kA lkaf[;dh; ifjdYiuk lk/kkj.k rFkk fefJr lkaf[;dh;

ijh{k.k] Økafrd {ks=] izFke vkSj f}rh; izdkj dh =`fV] ijh{k.k dk vkdkj vkSj

lkeFkZ] lkFkZdrk LrjA

bdkbZ & ikWp % o`gr izfrn�kZ ijh{k.k] ,dy vuqikr dk ijh{k.k] vuqikr dk vUrjA ,dy e/;

rFkk ek/;ksa ds vUrj dk ijh{k.kA ,d vkdyd dh izekfir =`fVA

lanHkZ iqLrdsa %


Chand & Co.

2. B L Agrawal Basic Statistics, New Age

3- Goon, Gupta & Das Gupta Fundamental of Statistics Vol.- 1-2 Worlds Press

Kolkkata



14



l= 2009 & 201l= 2009 & 201l= 2009 & 201l= 2009 & 2010000



Paper Title : izfrn�kZ losZ{k.kizfrn�kZ losZ{k.kizfrn�kZ losZ{k.kizfrn�kZ losZ{k.k Semester : III ( 302)

vf/kdre vad % 50

bdkbZ & ,d % izfrn�kZ losZ{k.k A lef"V ,oa izfrn�kZ dh ladYiuk,a ] izfrp;u dh vko�;drk

x.kuk ,oa izfrn�kZ losZ{k.k A izfrp;u dh vk/kkjHkwr vo/kkj.kk,aA

bdkbZ & nks % losZ{k.k izfrp;u ds laxBukRed i{k] izfrn�kZ dk pquko ,oa izfrn�kZ vkeki dk

p;uA dfri; ewyHkwr izfrp;u fof/k;ka & ljy ;kn`fPNd izfrp;u] izfrLFkkiu

lfgr ,oa izfrLFkkiu ds fcukA

bdkbZ & rhu % Lrjh; ;kn`fPnd izfrp;u] Øec} izfrp;uA

bdkbZ & pkj % ljy ;kn`fPNd izfrp;u ds varxZr vkdyu dh vuqikr ,oa lekJ;.k fof/k;kaA

bdkbZ & ikWp % vizfrp;u =`fV;ka jk"Vªh; izfrn�kZ losZ{k.k laxBu ¼NSSO) ,o vU; izfrn�kZ

losZ{k.k djus okyh ,tsafal;ksa ds dk;ZA iz�ukofy;ksa] izfrn�khZ; vfHkdYiuk {ks=

vUos"k.k esa viukbZ xbZ fof/k;ka izeq[k miyfC/k;ka bR;kfn dh tkudkjhAa

lanHkZ iqLrdsa %

1. S. C. Gupta & V K Kapoor Fundamentals of Applied Statistics

2. W. G. Cochran : Sampling Techniques

3- Daroga Singh Theory and Analysis of Sample Survey and

Design

4- vuqoknd yTtkjke flagy Izkfrp;u rduhdsa

15




Session 2009 � 2010


Subject: Statistics

Paper Title : Sample Surveys

Semester : III ( 302)

Max Marks : 50

Unit � I

Sample surveys, concept of population and sample, need for sampling, Census and sample surveys, basic

concepts in sampling . Organization aspects of survey sampling.

Unit � II

Sample selection and sample size. Some basic sampling methods � simple random sampling ( SRS) with

and without replacement.

Unit � III

Stratified random sampling, Systematic sampling.

Unit � IV

Ratio and Regression methods of estimation under simple random sampling.

Unit � V

Non- sampling errors, acquaintance with the working ( questionnaires, sampling design, methods followed

in field investigation, principal findings etc.) of National Sample Survey Organization (NSSO) and other

agencies undertaking sample surveys.

lanHkZ iqLrdsa %

1. S. C. Gupta & V K Kapoor Fundamentals of Applied Statistics

2. W. G. Cochran : Sampling Techniques

3- Daroga Singh Theory and Analysis of Sample Survey and

Design

4- vuqoknd yTtkjke flagy Izkfrp;u rduhdsa

16


d{kk % Lukrd f}rh;d{kk % Lukrd f}rh;d{kk % Lukrd f}rh;d{kk % Lukrd f}rh; fo"k; &% lkaf[;dhfo"k; &% lkaf[;dhfo"k; &% lkaf[;dhfo"k; &% lkaf[;dh

l-

Ø-


1 r`rh; l= izFke Lakf[;dh; fof/k;ka Lakf[;dh; fof/k;ka Lakf[;dh; fof/k;ka Lakf[;dh; fof/k;ka ¼301½ 50

f}rh; Izkfrn�kZ losZ{k.k ¼302½ 50 100

izk;ksfxd 50

ifj;kstuk 50 100

ifj;kstuk %


ds fy, gksxkA



gksxkA




17




Session 2009 � 2010


Subject: Statistics

Paper Title : Survey Methods ( Paper � I)

Semester : IV ( 401)

Max Marks : 50

Unit � I

Fisher�s Z transformation and its uses Pearson�s Chi-Square test for goodness of fit and for homogeneity

for standard distribution.

Unit � II

Contingency table and test of independence in a Contingency table. Small sample test � t and F test.

Unit � III

Non-parametric Test � sign test for univariate and bivariate distributions, wilcoxon- Mann � whitney U-

test.

Unit � IV

Non parametric Test � Run test median test and spearman�s rank correlation coefficient test.

Unit � V

Analysis of variance for one way and two way classification with one observation per cell.

Ref Books : 1. S. C. Gupta & V K Kapoor Fundamentals of Mathematical Statistics Sultan chand

& Co.

2. S. C. Gupta & V K Kapoor Fundamentals of Applied Statistics Sultan Chand &

Co.




18



l= 2009 & 2010l= 2009 & 2010l= 2009 & 2010l= 2009 & 2010



Paper Title : fun�kZu fof/k;ka fun�kZu fof/k;ka fun�kZu fof/k;ka fun�kZu fof/k;ka Semester : IV ( 401)

vf/kdre vad % 50

bdkbZ & ,d % fQ�kj dk Z :ikarj ,oa blds mi;ksxA χ2 oxZ esa vklatu lq"Bqrk vkSj izekf.kd

caVu gkseksftfuVh ds fy,A

bdkbZ & nks % vklax lkj.kh vkSj Lora=rk ds fy, vklax lkj.kh dk ijh{k.k] y?kqizfrn�kZ& t

ijh{kk.k dk rFkk v ijh{k.k ds fy,A

bdkbZ & rhu % vizpkfyd ijh{k.k & fpUg ijh{k.k ,d pj vkSj f}pj caVu ds fy, foydWkDlu

eku foVuh U ijh{k.kA

bdkbZ & pkj % vizkpfyd fof/k;ka] fpUg ijh{k.k] ef/;dk ijh{k.k vkSj Lfi;jesu dksfV lglaca/kA

bdkbZ & ikWp % izlj.k fo�ys"k.k & ,d/kk oxhZdj.k ,oa f}/kk oxhZdj.k ¼,d oxhZdj.k rFkk ,d

dksfV ds fy,½A

lanHkZ iqLrdsa %


& Co.


Co.




19




Session 2009 � 2010


Subject: Statistics

Paper Title : Design of Experiments ( Paper � II)

Semester : IV ( 402)

Max Marks : 50

Unit � I

Need for design of experiments, basic principles of designs, Analysis of completely randomized design

(CRD) .

Unit � II

Introduction of fixed, mixed and random effect models. Layout, analysis, merits and demerits of

randomized block design ( RBD) including missing plot technique (One missing Observation)

Unit � III

Layout, analysis, merits & demerits of Latin square design ( LSD) with missing plot technique ( One

missing observation) Efficiency of design.

Unit � IV

Factorial design � 2n (n≤4) design illustration, main effect and interaction effects.

Unit � V

Confounding in 23 designs ( Complete and partial confounding)

Ref. Books :


Co.



20



l= 2009 & 2010l= 2009 & 2010l= 2009 & 2010l= 2009 & 2010

Class : chchchch----,,,,----@ch@ch@ch@ch----,l,l,l,l----lhlhlhlh---- III


Paper Title : vfHkdYiuk dk ijh{k.k ¼f}rh; iz�ui=½vfHkdYiuk dk ijh{k.k ¼f}rh; iz�ui=½vfHkdYiuk dk ijh{k.k ¼f}rh; iz�ui=½vfHkdYiuk dk ijh{k.k ¼f}rh; iz�ui=½ Semester : IV ( 402)

vf/kdre vad % 50

bdkbZ & ,d % vfHkdYiuk ijh{k.k dh vko�;drkA vfHkdyiuk ijh{k.k ds eq[; fl}kar] iw.kZrk

;kn`fPNd vfHkdYiuk dk fo�ys"k.k

bdkbZ & nks % fQDlM] feDlM rFkk jsUMe izHkko ekMy dk ifjp;] foU;kl vkSj ijh{k.k]

;kn`fPNd [k.M vfHkdYiuk ds eq[; nks"k rFkk vKkr oxZ dk fu/kkZj.k ¼,d vKkr

ewY; ds fy,½

bdkbZ & rhu % ysfVu oxZ vfHkdYiuk dk foU;kl xq.k nks"k rFkk lkFk esa ,d vKkr oxZ ds

fu/kkZj.k dh fof/k rFkk ,d vfHkdYiuk dh n{krkA

bdkbZ & pkj % miknkuh vfHkdYiuk & 2n (n≤4) vfHkdYiuk eq[; izHkko vkSj bUVªsD�ku izHkko

lfgrA

bdkbZ & ikWp % 23 esa dUQkmfUMax] iw.kZ ,oa vkaf�kd dUQkmfMUxA

lanHkZ iqLrdsa %


Co.



21

dsUnzh; v/;;u eaMy }kjk vuq�dsUnzh; v/;;u eaMy }kjk vuq�dsUnzh; v/;;u eaMy }kjk vuq�dsUnzh; v/;;u eaMy }kjk vuq�kaflr Lukrd ikB~;Øe dh ijh{kk ;kstukkaflr Lukrd ikB~;Øe dh ijh{kk ;kstukkaflr Lukrd ikB~;Øe dh ijh{kk ;kstukkaflr Lukrd ikB~;Øe dh ijh{kk ;kstuk

d{kk % Lukrd f}rh;d{kk % Lukrd f}rh;d{kk % Lukrd f}rh;d{kk % Lukrd f}rh; fo"k; &% lkaf[;dhfo"k; &% lkaf[;dhfo"k; &% lkaf[;dhfo"k; &% lkaf[;dh

l-

Ø-


1 prqFkZ l= izFke fun'kZu fof/k;kafun'kZu fof/k;kafun'kZu fof/k;kafun'kZu fof/k;ka¼401½ 50

f}rh; vfHkdYiuk dk ijh{k.k ¼402½ 50 100

izk;ksfxd 50

ifj;kstuk 50 100

ifj;kstuk %


ds fy, gksxkA



gksxkA




22




Session 2010 � 2011

Class : B.A. / B.Sc. � III

Subject: Statistics

Paper Title : Applied Statistics - I ( Paper � I)

Semester : V ( 501)

Max Marks : 50

Unit � I

Indian applied statistical system. Present official statistical system in India. Methods of collection of

official statistics. Their reliability and limitation and the principal publication containing such statistics on

the topics : population, agriculture industry trade and price statistics.

Unit � II

The principal publication of official statistics on the topics: labor and employment transport and

communication banking and finance. Demographic methods: Sources of demographic data-census,

registration adhoc survey hospital records demographic profiles Indian census.

Unit � III

Measurement of mortality and life table : crude death rate infant mortality rates, death rate by causes

standardized death rate complete life table - its main features, mortality rate and probability of dying use

of survival tables.

Unit � IV

Measurement of fertility : crude birth rate general fertility rate total fertility rate Gross Reproduction Rate

(GRR).

Unit � V

Economic statistics : Index numbers its definition, application of index numbers, price relatives and

quantity or volume relatives link and chain relatives consumer price index.

Ref. Books : 1. S. C. Gupta & V K Kapoor Fundamentals of Mathematical Statistics Sultan chand & Co.

2. S. C. Gupta & V K Kapoor Fundamentals of Applied Statistics Sultan Chand & Co.

3. B L Agrawal Basic Statistics, New Age 4- Mahajan M Statistical Quality Control, Dhanpat rai & Co. 5- ch-,y- vxzoky Lkaf[;dh ds fl}kar o vuqiz;ksx jktLFkku xzaFk vdkneh

6- Goon, Gupta & Das Gupta Fundamental of Statistics Vol.- 1-2 Worls Press Kolkate

23



l= 2010 & 2011l= 2010 & 2011l= 2010 & 2011l= 2010 & 2011



Paper Title : vuqiz;qDr lkaf[;dh &vuqiz;qDr lkaf[;dh &vuqiz;qDr lkaf[;dh &vuqiz;qDr lkaf[;dh &I ¼izFke iz�ui=½ ¼izFke iz�ui=½ ¼izFke iz�ui=½ ¼izFke iz�ui=½ Semester : V ( 501)

vf/kdre vad % 50 bdkbZ & ,d % Hkkjrh; vuqiz;qDr lkaf[;dh ra=] Hkkjr esa orZeku 'kkldh; lkaf[;dh ra=A 'kkldh;

lkf[;dh; leadks ds laxzg.k dh fof/k;ka mudh fo�oluh;rk ,oa lhek,a ,oa izeq[k izdk�ku

ftuesa tula[;k] d`f"k] m|kksx O;kikj] ewY;A

bdkbZ & nks % izeq[k izdk�ku ftuesa Je ,oa jsktxkj ifjogu ,oa lapkj cSafdUx ,oa foRr fo"k;ksa ij ,slh

lkaf[;dh nh gqbZ gksaA tulkaf[;dh & fof/k;ka] tulaf[;dh leadks ds L=ksr&lax.kuk] iqqath rnFkZ

losZ{k.k gWkfLiVy ds fjdkMZl ] Hkkjrh; tux.kuk dh tulkaf[;dh ik�oZdA

bdkbZ & rhu % eR;Zrrk dh uki ,oa o; lkfj.kh] v�kksaf/kr e`R;q nj] f�k�kq erZ;rrk] ldkj.k e`R;qnj]

ekudhd`r e`R;qnj] iw.kZ o;&lkj.kh bldh izeq[k fo�ks"krk,a eR;Zrrk nj ,oa ej.k dh izkf;drk

mRrjthfork lkj.kh ds mi;ksxA

bdkbZ & pkj % moZjrk eki] v�kksf/kr tUenj] lkekU; iztuu nj] laiw.kZ iztuu nj ldy iqu:Riknu nj]

'kq) iztuu njA

bdkbZ & ikWp % vkfFkZd lkaf[;dh lwpdkad] bldh ifjHkk"kk mi;ksx ewY;kuqikr ,oa ek=k vFkok ifjek.k

vuqikr] Jqa[kfyr ,oa Jq[kyk visf{krA miHkksDrk ewY; lwpdkadA

lanHkZ iqLrdsa %


Co.

2. B L Agrawal Basic Statistics, New Age


Kolkate 4- ch-,y- vxzoky Lkaf[;dh ds fl}kar o vuqiz;ksx jktLFkku xzaFk vdkneh

24




Session 2010 � 2011


Subject: Statistics

Paper Title : Statistical Quality control and Computational � Techniques -

( Paper � II)

Semester : V ( 502)

Max Marks : 50

Unit � I

General theory of control charts, causes of variations control charts for attributes � np, p, c, and U �charts.

Unit � II

Control charts for variables. Chart for mean and range. Principles of acceptance sampling.

Unit � III

Producer�s and Consumer�s risk single and double sampling plans, their O.C., A.O.Q., A.S.N. and ATI

curves.

Unit � IV

Computational techniques � difference table and methods of interpolation for equal and unequal class

intervals. Newton�s and Lagrange�s formula.

Unit � V

Divided difference numerical differentiation and integration. Trapezoidal rule, Simpson�s one third and

three eight rule.

lanHkZ iqLrdsa %


Co.

2. B L Agrawal Basic Statistics, New Age 3- Goon, Gupta & Das Gupta Fundamental of Statistics Vol.- 1-2 Worls Press

Kolkate 4- ch-,y- vxzoky Lkaf[;dh ds fl}kar o vuqiz;ksx jktLFkku xzaFk vdkneh

25


l= 2010 & 2011l= 2010 & 2011l= 2010 & 2011l= 2010 & 2011



Paper Title : lkaf[;dh; xq.k fu;a=.k ,oa lax.kd rduhdsa ¼f}rh; iz�ui=½lkaf[;dh; xq.k fu;a=.k ,oa lax.kd rduhdsa ¼f}rh; iz�ui=½lkaf[;dh; xq.k fu;a=.k ,oa lax.kd rduhdsa ¼f}rh; iz�ui=½lkaf[;dh; xq.k fu;a=.k ,oa lax.kd rduhdsa ¼f}rh; iz�ui=½ Semester : V ( 502)

vf/kdre vad % 50

bdkbZ & ,d % fu;a=.k lafp= dk O;kid fl}kar] fopj.k ds dkj.k] xq.kksa ds fy, np, p, c, vkSj

U lafp=A

bdkbZ & nks % pjksa ds fy, fu;a=.k lafp=A eq[; ,oa foLrkj ¼jsUt½ lafp=A Lohdj.k izfrp;u

ds fl}karA

bdkbZ & rhu % mRiknd ,oa miHkksDrk dh tksf[ke] ,dy ,oa f}�k izfrp;u vk;kstu rFkk buds

O.C., A.O.Q., A.S.N. vkSj ATI oØA

bdkbZ & pkj % lax.kd rduhdsa& varj lkj.kh vkSj leku ,oa vleku oxZ varjky ds fy,

varZos�ku dh fof/k;ka A

bdkbZ & ikWp % varj vUrjky] la[;kRed vodyu vkSj lekdyu A VªsikstkbMy fu;e rFkk

flEilu dk 1@3 ,oa 3@8 fu;e A

lanHkZ iqLrdsa %lanHkZ iqLrdsa %lanHkZ iqLrdsa %lanHkZ iqLrdsa % 1. S. C. Gupta & V K Kapoor Fundamentals of Mathematical Statistics Sultan chand & Co.




26


d{kk % Lukrd r`rh;d{kk % Lukrd r`rh;d{kk % Lukrd r`rh;d{kk % Lukrd r`rh; fo"k; &% lkaf[;dhfo"k; &% lkaf[;dhfo"k; &% lkaf[;dhfo"k; &% lkaf[;dh

l-

Ø-


1 iape l= izFke vuqiz;qDr lkaf[;dh vuqiz;qDr lkaf[;dh vuqiz;qDr lkaf[;dh vuqiz;qDr lkaf[;dh - I¼501½ 50

f}rh; Lakf[;dh xq.krk fu;a=.k rFkk Lakf[;dh xq.krk fu;a=.k rFkk Lakf[;dh xq.krk fu;a=.k rFkk Lakf[;dh xq.krk fu;a=.k rFkk

lax.ku rduhdsalax.ku rduhdsalax.ku rduhdsalax.ku rduhdsa ¼502½

50 100

izk;ksfxd 50

ifj;kstuk 50 100

ifj;kstuk %


ds fy, gksxkA



gksxkA




27




Session 2010 � 2011


Subject: Statistics

Paper Title : Applied Statistics - II ( Paper � I)

Semester : VI ( 601)

Max Marks : 50

Unit � I

Index numbers � Definition uses and limitations. Construction of simple weighted index numbers.

Laspeyer�s, Paasche�s and Fishers� formula, various test for index numbers.

Unit � II

Static laws of demand and supply, price elasticity of demand, analysis of income distribution and Pareto-

distribution.

Unit � III

Fitting of Pareto law log normal distribution and its property. Lorenz curve and estimation of elasticity

from time series data, Ginnis� coefficient.

Unit � IV

Time series analysis � Economics time series, its different component, illustration, additive and

multiplicative models, determination of trend.

Unit � V

Growth curve, analysis of seasonal fluctuations, construction of seasonal indices.

1. S. C. Gupta & V K Kapoor Fundamentals of Mathematical Statistics Sultan chand & Co.




28


l= 2010 & 2011l= 2010 & 2011l= 2010 & 2011l= 2010 & 2011



Paper Title : iz;qDr lkaf[;dh;iz;qDr lkaf[;dh;iz;qDr lkaf[;dh;iz;qDr lkaf[;dh; - II ¼izFke iz�ui=½ ¼izFke iz�ui=½ ¼izFke iz�ui=½ ¼izFke iz�ui=½ Semester : V ( 601)

vf/kdre vad % 50

bdkbZ & ,d % lwpdkad & lwpdkad dh ifjHkk"kk] xq.k mi;ksx rFkk mldh lhek,aA lk/kkj.k rFkk

Hkkfjr lwpdkad ysLis;j] ik�ksa vkSj fQ�kj lwpdkad dk lw= rFkk lwpdkad ds fofHkUu

lw=A

bdkbZ & nks % ekWx rFkk iwfrZ ds fl}kar rFkk ekWx dh ykspA vk; ds fo�ys"k.k dk caVu vkSj

isjsVksa caVuA

bdkbZ & rhu % isjksVksa fu;e dk vlatu] ykWx izlkekU; caVu vkSj mudh fo�ks"krk,aA ykjsUt oØ

vkSj dkyJs.kh leadks esa ljyrk dk vkdyu] fxuht dk xq.kkadA

bdkbZ & pkj % dkyJs.kh fo�ys"k.k & vkfFkZd dkyJs.kh vkSj mlds fofHkUu la?kVd mnkgj.k

lfgr A dkyJs.kh ds ;ksT; rFkk xq.kd ekWMy] izo`fRr Kkr djus ds fy,A

bdkbZ & ikWp % xzksFk oØ] eksleh mPpkopu dk fo�ys"k.k rFkk eksleh mppkopu dk fuekZ.kA

lanHkZ iqLrdsa % 1. S. C. Gupta & V K Kapoor Fundamentals of Mathematical Statistics Sultan chand & Co.




29




Session 2010 � 2011


Subject: Statistics

Paper Title : Computational Techniques( Paper � II)

Semester : VI ( 602)

Max Marks : 50

Unit � I

Historical evolution of computers, Generation of Computers, Classification of Computers, Hardware �

CPU, I/O devices, block diagram, system software, MS-Dos � file name, creating, editing and printing of

files. Other file management commands. Disk management commands.

Unit � II

Linear programming, Elementary theory of convex sets, definition of general linear programming problem

( LPP).

Unit � III

Simulation problem of LPP, examples of LPP. Problem occurring in various fields, graphical solution of

LPP.

Unit � IV

Simplex method of solving an LPP, artificial variable, duality of LPP.

Unit � V

Transportation problem ( non-degenerate and balance cause only). Assignment problem (balanced case

only)

lanHkZ iqLrdsa %lanHkZ iqLrdsa %lanHkZ iqLrdsa %lanHkZ iqLrdsa % 1. S. D. Sharma Operation Research

2. Kantiswaroop, Manmohan, Gupta Operation Research

30


l= 2010 & 2011l= 2010 & 2011l= 2010 & 2011l= 2010 & 2011



Paper Title : lax.ku rduhfd ¼f}rh; iz�ui=½lax.ku rduhfd ¼f}rh; iz�ui=½lax.ku rduhfd ¼f}rh; iz�ui=½lax.ku rduhfd ¼f}rh; iz�ui=½ Semester : V ( 602)

vf/kdre vad % 50

bdkbZ & ,d % dEI;wVj dh ,sfrgkfld vo/kkj.kk] dEi;wVj dh ih<h] dEI;wVj dk oxhZdj.k

gkMZos;j] lh-ih-;w- buiqV@vkmViqV fMokblsl] Cykd fp=] flLVe lk¶Vos;j

MS-Dos Qkby use fØ;sfVax] ,fMfVax vkSj fizafVax] Qkby ls nwljh Qkby dh

O;oLFkkiu] dekUM MhLd eSustesUVA

bdkbZ & nks % jsf[k; izksxzkeu] mUuoksRrj leqgks dk izkjafHkd fl}kar O;kid jsf[k; izksxzkeu

leL;k dh ifjHkk"kkA

bdkbZ & rhu % LPP ds lw=hdj.k dh leL;k,a ,oa LPP ds mnkgj.k fofHkUu {ks=ksa esa gksus okyh

leL;k,a A LPP dsk gy djus dh vkysf[k; fof/kA

bdkbZ & pkj % LPP dks gy djus dh flaiysDl fof/k d`fre pj] LPP dh f}fof/krkA

bdkbZ & ikWp % ifjogu leL;k ¼dsoy vfod`r ,oa larqfyr ?kVuk,a½ vkoaVu leL;k,a ¼dsoy

larqfyr ?kVukvksa ds fy,½A

lanHkZ iqLrdsa %lanHkZ iqLrdsa %lanHkZ iqLrdsa %lanHkZ iqLrdsa % 1. S. D. Sharma Operation Research

2. Kantiswaroop, Manmohan, Gupta Operation Research

31


d{kk % Lukrd r`rh;d{kk % Lukrd r`rh;d{kk % Lukrd r`rh;d{kk % Lukrd r`rh; fo"k; &% lkaf[;dhfo"k; &% lkaf[;dhfo"k; &% lkaf[;dhfo"k; &% lkaf[;dh

l-Ø- Lk= iz'ui= iz'ui= dj 'kh"kZd vf/kdre vad dqy ;ksx

1 "k"Be l= izFke vuqiz;qDr lakf[;dh &2 ¼601½ 50

f}rh; Lakx.ku rduhdsa ¼602½ 50 100

izk;ksfxd 50

ifj;kstuk 50 100

ifj;kstuk %


ds fy, gksxkA



gksxkA




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As recommended by Central Board of Studies and Approved … · Gupta & V K Kapoor Fundamentals of Mathematical Statistics Sultan chand & Co. 2. ... S. C. Gupta & V K Kapoor Fundamentals