B.Sc, Semester - 3 Statistics Syllabus, (w.e.f 2021-2022, OU)


B.A/B.Sc - II Year,  III Semester (CBCS): Statistics Syllabus

Paper – III: Statistical Methods and Theory of Estimation

[4 Credits :: 100 Marks (External:80, Internal:20)]

Unit –I

Bivariate data, Scattered diagram, Principle of least squares, fitting of straight line, quadratic and power curves. Concept of correlation, computation of Karl-Pearson correlation coefficient for grouped and ungrouped data and its properties.

Correlation ratio, Spearman’s rank correlation coefficient and its properties. Simple linear regression, correlation verses regression, properties of regression coefficients.

Unit –II

Concepts of partial and multiple correlation coefficients (only for three variables). Analysis of categorical data, their independence, Association and partial association of attributes. Various measures of association: Yule’s coefficient of colligation and  Pearson and Tcherprow coefficient of contingency for two way data.

Unit – III

Concepts of Population, Parameter, Random sample, Statistic, Sampling distribution and Standard error. Standard error of sample mean(s) and sample proportion(s). Exact sampling distributions - Statement and properties of 2, t and F distributions and their interrelationships. Independence of sample mean and variance in random sampling from normal distributions.

Point estimation of a parameter, concept of bias and mean square error of an estimate. Criteria of a good estimator- consistency, unbiasedness, efficiency and sufficiency with examples.

Unit – IV

Statement of Neyman’s Factorization theorem, derivations of sufficient statistics in case of Binomial, Poisson, Normal and Exponential (one parameter only) distributions. Estimation by the method of moments, Maximum likelihood estimation (MLE), statements of asymptotic properties of MLE. Concept of interval estimation. Confidence intervals of the parameters of normal population by Pivot method.

Reference Books:

1. Goon AM, Gupta MK, Das Gupta B : Outlines of Statistics , Vol-II, the World Press Pvt. Ltd., Kolkata.

2. V. K. Kapoor and S. C. Gupta: Fundamentals of Mathematical Statistics, Sultan

Chand & Sons, New Delhi

Comments

  1. paterekiaobara4 March 2022 at 07:59

    This comment has been removed by a blog administrator.

    ReplyDelete

Post a Comment

Popular posts from this blog

B.Com- II yr, Semester-IV, Business Statistics - II Syllabus

Paper: (BC 406): BUSINESS STATISTICS-II Paper: BC 406 Max. Marks: 100 HPW: 4 with  Credits: 4 OBJECTIVE: To inculcate analytical and computational ability among the students. UNIT-I: REGRESSION: Introduction - Linear and Non Linear Regression – Correlation Vs. Regression - Lines of Regression – Derivation of Line of Regression of Y on X - Line of Regression of X on Y - Using Regression Lines for  Prediction. UNIT-II: INDEX NUMBERS: Introduction - Uses - Types - Problems in the Construction of Index Numbers - Methods of Constructing  Index Numbers - Simple and Weighted Index Number (Laspeyre - Paasche, Marshall – Edge worth) – Tests of Consistency of Index Number: Unit Test - Time Reversal Test - Factor Reversal Test –  Circular Test - Base Shifting - Splicing and Deflating of Index Numbers. UNIT-III: TIME SERIES: Introduction - Components – Methods-Semi Averages - Moving Averages – Least Square Method – Deseasonalisation of Data – Uses and Limitations of Ti
Read more

Sampling Theory: MCQ

1.A sample consists of: (a)   All units of the population (b) 50 per cent units of the population (c) 5 per cent units of the population (d) Any fraction of the population 2. Sampling is inevitable in the situation(s):           (a) Blood test of a person           (b) When the population is infinite           (c) Testing of life of dry battery cells           (d) All the above 3. The number of possible samples of size n out of N population    units without replacement is: (a) Nc n             (b) (N) n               (c) n²                    (d) N! 4. The number of possible samples of size two from a population of 4    units under SRSWOR:             (a) 6                          (b) 4                                 (c) 8                         (d) 16 5. Probability of drawing a unit at each selection remains same in:            (a) SRSWOR                   (b) SRSWR                  (c) Both (a) and (b)          (d)None of them 6. Probabil
Read more

Unit wise important questions

Image
B.Sc (M.S.Cs)-III Year                                          Subject: Statistics, Paper: III UNIT-I 1. Explain the principal steps involved in a sample survey. 2. (i).  Distinguish between SRSWOR and SRSWR with examples. (ii). In SRSWOR, show that the Probability of selecting a specified unit  at   any given draw is equal to the probability of  selecting it at the first draw. 3. In SRSWOR, show that        (i). Sample mean square is an unbiased estimator of population mean square.        (ii). V( n )= {(N-n)/Nn} S 2      4. Explain the purpose of stratification in sample survey.         Show that V( n ) R  V( st ) prop in usual notations.         5. In usual notations, prove that the systematic sample mean is more efficient     than the mean of a simple random sample taken without replacement      if   S 2 wsy  S 2 .  6. With the usual notations, Prove that  V( st ) opt  V( st ) prop  V( n ) wor  7. In Neyman allocation of stratified random
Read more