B.Sc. III-Semester (CBCS) Examination, November / December 2012
Subject: Statistics
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Paper II: Statistical Methods (DSC)
Time: 3 Hours Max. Marks: 80
PART - A (3 X 4 = 20 Marks)
(Short Answer Type)
Note: Answer any FIVE of the following questions.
- State the principle of least squares.
- Define Correlation Ratio and its necessity of study.
- Write short notes on independence of attributes.
- Define multiple correlation and write its measure of multiple correlation.
- Define Standard error. Write the standard errors for sample mean and variances.
- Write about Point estimation. State the properties of chi-square distribution.
- State Neymann Pearson Factorization theorem.
- Explain the concept of Mean Square Error.
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PART - B (4 X 15 = 60 Marks)
(Essay Type)
Note: Answer all questions.
- (a) State the conditions for consistency of data for two attributes A and B and for three attributes A, B and C.
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OR
(b) Find the remaining class frequencies from the following information: (ABC) = 57, (aß?) = 8310, (AB?) = 31, (aBC) = 78, (aB?) = 620 (AßC) = 86, (aßC) = 65, (AB?) = 453. - (a) Define F - distribution. State properties and applications.
OR
(b) Explain the characteristics of a good estimator. - (a) Write the method of moment estimation. Let X1, X2,....Xn be a random sample of size n drawn from Poisson population with parameter ?, estimate the parameter ? using method of moments.
OR
(b) Obtain the confidence intervals for the parameter µ based on the sample of size n drawn from Normal (µ, s2), s2 is unknown by Pivot method.
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