Download OU B.Sc 2017 Dec 3rd Semester 7070 Statistics Statistical Methods Question Paper

FirstRanker.com

--- Content provided by‌ FirstRanker.com ---

4 Define i) order of a class ii) Ultimate classes

5 Define i) Population and ii) Sample statistic

6 State the properties of Maximum

--- Content provided by FirstRanker.com ---

7 Define interval estimation.

Part-B (4 x 12 = 48 Marks)

(Essay Type)

Answer ALL questions from the following

9 a) i) Obtain the formula for Spearman’s rank correlation coefficient.

--- Content provided by​ FirstRanker.com ---

ii) Derive the normal equations for fitting of a curve of the type y = ax^b.

OR

b) i) Derive the Regression of Y on X.

ii) State and prove properties of regression coefficients.

10 a) i) Define multiple correlation with an example for three variables and state the formula for R_1.23, R_2.13 and R_3.12

--- Content provided by‍ FirstRanker.com ---

ii) If r₁₂ = 0.77, r₁₃ = 0.72 and r₂₃ = 0.52. Find the values of R_1.23, R_2.13 and R_3.12.

OR

b) i) Define positive association, negative association and independence of attributes.

ii) Derive the relationship between Yule's coefficient of association and coefficient of colligation.

11 a) i) Define sampling distribution of a statistic and standard error.

--- Content provided by​ FirstRanker.com ---

ii) Define ?² - distribution. State its properties and applications.

OR

b) i) Define consistency and sufficiency with examples.

ii) State and prove sufficient conditions for consistency.

12 a) i) State Neyman's Factorization theorem.

--- Content provided by⁠ FirstRanker.com ---

ii) Find the sufficient estimator for ? in case of exponential distribution.

OR

b) i) Explain the method of MLE.

ii) Find the MLE for the parameter ? of Poisson distribution on the basis of sample of size n. Also find its variance.

--- Content provided by⁠ FirstRanker.com ---