Linear Models (ISS Statistics Paper II (Old Subjective Pattern)): Questions 1 - 3 of 3

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Question number: 1

» Linear Models » Theory of Linear Estimation » Gauss-Markoff Setup

Appeared in Year: 2014

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Define estimability of a linear parametric function in a Gauss Markov model. State and prove a necessary and sufficient condition for estimability.


Estimability : The linear parametric function c’β is an estimable function if there exists a vector

a R n such that


If X is of full column rank then all linear combinations of… (226 more words) …

Question number: 2

» Linear Models » Analysis of One-Way Classified Data » Mixed Model

Appeared in Year: 2014

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A manufacturer of television sets is interested in the effect on tube conductivity of five different types of coating for color picture tubes. Sample means are


Error sum of squares = 54.0

(i) Is there a difference in conductivity due to coating type? F-value = 3.09

(ii) Determine which pair differs significantly using Bonferroni t-interval. Comment on the same.




Test the null and alternative hypothesis is

H 0 : There is no difference in the means of conductivity due to coaching type:


H 1 : At least one mean is different from others.

Assume… (285 more words) …

Question number: 3

» Linear Models » Use of G-Inverse

Appeared in Year: 2014

Essay Question▾

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Obtain a g-inverse of A given below and verify that AA - A = A



Let A be a full rank m n matrix. By full rank we mean rank (A) = min {m, n}.

If m < n, then A has a right inverse given by

Aright1=AT(AAT)1… (187 more words) …

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