B.A/B.Sc., STATISTICS (WITH MATHMATICS)
REVISED SYLLABUS
CBCS/SEMESTER SYSTEM (W.E.F 2020-21 ADMITTED BATCH)
SEMESTER – IV
PAPER IV: SAMPLING TECHNIQUES AND DESIGNS OF EXPERIMENTS
UNIT I
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.
UNIT II
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
Analysis of variance :Analysis of variance(ANOVA) –Definition and assumptions. One-way with equal and unequal classification, Two way classification.
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
Randomized Block Design (R.B.D) and Latin Square Design (L.S.D) with their layouts, Advantages, disadvantages and Analysis. Missing plot technique in RBD and LSD.
UNIT V
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:
- Telugu Academy BA/BSc III year paper – III Statistics – Applied statistics – Telugu academy by Prof.K.Srinivasa Rao, Dr D.Giri. Dr A.Anand, Dr V.Papaiah
- V.S. Sarma: Statistics Made Simple: Do it yourself on PC. PHI.
Reference Books:
- Fundamentals of applied statistics : VK Kapoor and SC
- Indian Official statistics – MR Saluja
- AnuvarthitaSankyakaSastram – Telugu
