Sem -III, Model Paper - II

Model Paper - II
Subject: STATISTICS
            Paper-III: Statistical Methods            
Time: 3 hr                                                                                                          Max. Marks: 80
SECTION - A
Answer any Five questions:                                                                                    5 X 4 = 20
1. Show that correlation coefficient is the geometric mean between two regression coefficients.
2. Explain correlation ratio.
3. Define partial and multiple correlation coefficients.
4. Define (i). Class and class frequency    (ii).Ultimate class frequency
5. Obtain relation between t and F distributions.
6. Define unbiasednees and consistency of an estimator.
7. Obtain sufficient estimator for the parameter l of poison distribution.  
8. Explain point and interval estimation.
SECTION - B
Answer all 4 Questions:                                                                                            4 X 15 = 60  
 9. (a). Define correlation coefficient. Stat and prove its properties.
                                                            (OR)               
     (b). Derive regression equation of the regression line Y on X

10.(a). Define consistency. What are the conditions of consistency for three attributes?                                          (OR)
      (b). (i). Explain independence of attributes.
            (ii). For ‘n’ attributes A1,A2,--------, An. show that,
                    (A1*A2*--------*An) ≥ (A1)+(A2)+-------+(An) - (n-1)N
11.(a).(i).Define  χ2  variate. Explain properties and applications of χ2 distribution.               
          (ii). Explain Fisher's Z- transformation.
                                                            (OR)               
      (b).Show that sample mean and variance are independent.

12.(a).Explain method of maximum likelihood estimation with properties.
                                                            (OR)
      (b).Obtain MLE for ‘µ’ and σ2 of normal population.
  


Comments

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 an...
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 sam...
Read more

Semester - V , GE - BASIC STATISTICS Syllabus (w.e.f 2021-2022, OU)

 B.A/B.Sc. III Year V Semester (CBCS) : Statistics Syllabus (With Mathematics Combination) (Examination at the end of Semester - V) Paper – VI - GE : Basic Statistics [4 HPW :: 4 Credits :: 100 Marks] UNIT I Introduction: Definition and scope of Statistics, concepts of statistical population and sample. Data: quantitative and qualitative, attributes, variables, scales of measurement - nominal, ordinal, interval and ratio. Presentation: tabular and graphic, including histogram and ogives. UNIT II Measures of Central Tendency: mathematical and positional. Measures of Dispersion: range, quartile deviation, mean deviation, standard deviation, coefficient of variation, moments, skewness and kurtosis. UNIT III Bivariate data: Definition, scatter diagram, simple, partial and multiple correlation (3 variables only), rank correlation. Simple linear regression, principle of least squares and fitting of polynomials and exponential curves. UNIT IV Theory of attributes, consistency of data, ind...
Read more