Exam Details
2021 Statistics Paper - II
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Questions
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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27
33.8%
Medium
27
33.8%
Hard
26
32.5%
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80questions
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Sample questions from this paper
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2021 · Unclassified
2021 Statistics Paper - II
Consider the model y_ij = μ + α_i + β_j + ε_ij, i = 1, 2; j = 1, 2. For which one of the following choices of λ', the function λ'β where β' = (μ, α₁, α₂, β₁, β₂) is not estimable?
2021 · Unclassified
2021 Statistics Paper - II
For the model y_ij = μ + τ_i + ε_ij, i = 1, 2; j = 1, 2; consider the following statements:
1. μ + τ₁ is estimable.
2. τ₁ + τ₂ is estimable.
Which of the above statements is/are correct?
2021 · Unclassified
2021 Statistics Paper - II
Let X_i, Y_i and Z_i; i = 1, 2, 3 be nine independent observations with common variance σ², and E(X_i) = θ₁, E(Y_i) = θ₂, E(Z_i) = θ₁ - θ₂; i = 1, 2, 3. If X = Σ_(i=1)³ x_i, Y = Σ_(i=1)³ y_i and Z = Σ_(i=1)³ z_i, then the BLUE of θ₁ is given by
2021 · Unclassified
2021 Statistics Paper - II
In general regression model
Y_(n×1) = X_(n×k) β_(k×1) + ε_(n×1). Further ε is N(0, σ² I). The n × 1 vector of ordinary residuals is denoted by e = Y - Ŷ. The distribution of (e'e / σ²) is
2021 · Unclassified
2021 Statistics Paper - II
Consider a model
Y₁ = A + B + C + D + e₁;
Y₂ = A + C - B - D + e₂;
Y₃ = A + B - C - D + e₃;
Y₄ = A + D - B - C + e₄.
If this model is equivalent to Y = Xβ + e, then the matrix (X'X)^(-1) is equal to
2021 · Unclassified
2021 Statistics Paper - II
Consider the following statements:
1. Tukey's test of multiple comparisons reduces the Type-I error in the test.
2. Student-Newman-Keuls test uses stepwise procedure.
Which of the above statements is/are correct?