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2018 Statistics Paper - II
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80
Duration
180 mins
Package
National Defence Academy and Naval Academy Examination (I) & (II) - Previous Year Papers
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80questions
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80questions
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2018 · Unclassified
2018 Statistics Paper - II
Consider the model
Y1 = β1 + β2 + e1
Y2 = β1 + β3 + e2
Y3 = β1 + β2 + e3
Then λ1β1 + λ2β2 + λ3β3 is estimable if and only if
2018 · Unclassified
2018 Statistics Paper - II
Consider the model
yi = β0 + β1xi + ei (i = 1, 2, 3)
where x1 = -1, x2 = 0 and x3 = 1.
The best linear unbiased estimate of β0 and β1 is
2018 · Unclassified
2018 Statistics Paper - II
Consider the following statements :
1. If multicollinearity exists, (X'X)−1 cannot be computed.
2. The method of least squares is a statistical method.
Which of the above statements is/are correct?
2018 · Unclassified
2018 Statistics Paper - II
Consider the following statements :
1. The g-inverse of a matrix, if it exists, is unique.
2. The problem of multicollinearity can be tackled by increasing sample size.
Which of the above statements is/are correct?
2018 · Unclassified
2018 Statistics Paper - II
In the context of the linear model Y = Xβ + ε, consider the following statements :
1. If X is a full rank matrix, then all linear parametric functions are estimable.
2. Each estimable linear parametric function is of the form c'Xβ for some vector c.
Which of the above statements is/are correct?
2018 · Unclassified
2018 Statistics Paper - II
For a two-way ANOVA with 6 rows, 4 columns and 3 observations per cell, the degrees of freedom for interaction and residual are respectively