GAYATRI VIDYA PARISHAD COLLEGE
FOR DEGREE AND P.G. COURSES (A)
DEPARTMENT OF
STATISTICS
PROPOSED SYLLABUS
FOR FOURTH SEMESTER
For the
Admitted Batch of 2020-21
Paper-IV: SAMPLING
TECHNIQUES AND DESIGN OF EXPERIMENTS
|
Assessment |
Internal |
External |
Total |
No. of Hrs per Week |
Credits |
|
Theory (Marks) |
25 |
75 |
100 |
4 |
4 |
|
Practical (Marks) |
Internal & External |
50 |
2 |
1 |
|
·
Course Objectives:
·
The sampling techniques deals with the
ways and methods that should be used to draw samples to
obtain the optimum results, i.e., the maximum information about the
characteristics of the population with the available sources at our disposal in
terms of time, money and manpower to obtain the best possible estimates of the
population parameters
·
This paper throw light on understanding the
variability between group and within group through Analysis of Variance
·
This gives an idea of logical construction of
Experimental Design and applications of these designs now days in various
research areas.
·
Factorial designs allow
researchers to look at how multiple factors affect a dependent variable, both
independently and together.
Unit-I (11 hours) [CO1]
Simple Random Sampling (with and without replacement): Notations and terminology, various
probabilities of selection. Random numbers tables and its uses. Methods of
selecting simple random sample, lottery method, method based on random numbers.
Estimates of population total, mean and their variances and standard errors,
determination of sample size, simple random sampling of attributes.
Unit-II (12 hours)[CO2]
Stratified
random sampling: Stratified
random sampling, Advantages and Disadvantages of Stratified Random sampling,
Estimation of population mean, and its variance. Stratified random sampling
with proportional and optimum allocations. Comparison between proportional and
optimum allocations with SRSWOR.
Systematic
sampling:
Systematic sampling definition when N = nk and merits and demerits of
systematic sampling - estimate of mean and its variance. Comparison of
systematic sampling with Stratified and SRSWOR.
Unit-III (12 hours)[CO3]
Design of Experiments:
Definition, Principles of design
of experiments, CRD: Layout, advantages
and disadvantage and Statistical analysis of Completely Randomized Design(C.R.D).
Unit-IV (12 hours)[CO4]
Unit
– V (11 hours) [CO5]
Factorial
experiments
– Main effects and interaction effects of 22 and 23 factorial experiments and their
Statistical analysis. Yates procedure to find factorial effect totals.
Text Books:
1.
Telugu
AcademyBA/BSc III year paper - III Statistics - applied statistics - Telugu academy by
Prof.K.Srinivasa Rao, Dr D.Giri. Dr A.Anand, Dr V.Papaiah Sastry.
2.
K.V.S.
Sarma: Statistics Made Simple: Do it yourself on PC.PHI.
Reference books:
1.
Fundamentals
of applied statistics : VK Kapoor and SCGupta.
2.
Indian
Official statistics - MR aluja.
3. Anuvarthita Sankyaka Sastram - Telugu Academy.
Practicals - Semester – IV
Sampling Techniques:
Estimation of population mean and its variance by
1. Simple
random sampling with and without replacement. Comparison between SRSWR and
SRSWOR.
2. Stratified
random sampling with proportional and optimum allocations. Comparison between
proportional and optimum allocations with SRSWOR.
3. Systematic
sampling with N=nk. Comparison of systematic sampling with Stratified and SRSWOR.
Design of Experiments:
4.
ANOVA
- one - way classification with equal and unequal number of observations
5.
ANOVA
Two-way classification with equal number of observations.
6.
Analysis
of CRD.
7.
Analysis
of RBD Comparison of relative efficiency of CRD with RBD
8.
Estimation
of single missing observation in RBD and its analysis
9.
Analysis
of LSD and efficiency of LSD over CRD and RBD
10. Estimation of single missing
observation in LSD and its analysis
11. Analysis of 22 with
RBD layout
12. Analysis of 23 with RBD layout
The Student shall get
1. Introduced to various statistical sampling
schemes such as Simple Random Sampling and
related concepts
2. An idea about stratified, systematic sampling
and its related concepts
3. Carry out one way and two way Analysis of
Variance and Understand the basic terms used in design of
experiments and Completely randomized design
4. Understand the RBD and LSD experiments and
its analysis,
5. Understand the basic terms used in
Factorial experiments and their statistical analysis.
