Easy Multivariate Analysis MCQs – 1

Multivariate Analysis term includes all statistics for more than two simultaneously analyzed variables. The post contains Multivariate Analysis MCQs. Let us start with the Online Multivariate Analysis MCQs test.

Multiple Choice Questions about Multivariate and Multivariate Analysis

1. A matrix $A_{m\times n}$ is defined to be orthogonal if

 
 
 
 

2. A matrix in which the number of rows and columns are equal is called

 
 
 
 

3. Let $x$ be distributed as $N_p(\mu, \sigma)$ with $|\sigma | > 0$, then $(x-\mu)’ \sigma^{-1} (x-\mu)$ is distributed as:

 
 
 
 

4. Let $A$ be a $k\times k$ symmetric matrix and $X$ be a $k\times 1$ vector. Then

 
 
 
 

5. The set of all linear combination of $X_1, X_2, \cdots, X_k$ is called

 
 
 
 

6. If $A$ and $B$ are two $n \times n$ matrices, which of the following is not always true?

 
 
 
 

7. Eigenvalue is often introduced in the context of

 
 
 
 

8. What are Eigenvalues?

 
 
 
 

9. The eigenvalue is the factor by which the Eigenvector is

 
 
 
 

10. A set of vectors $X_1, X_2, \cdots, X_n$ are linearly independent if

 
 
 
 

11. Length of vector $\underline{X}$ is calculated as

 
 
 
 

12. Let $x_1, x_2, \cdots, x_n$ be a random sample of size $n$ from a p-variate normal distribution with mean $\mu$ and covariance matrix $\sigma$, then

 
 
 
 

13. The pdf of multivariate normal distribution exists only when $\sigma$ is

 
 
 
 

14. How many Eigenvalues does a 2 by 2 matrix have?

 
 
 
 

15. If $A$ is a square matrix of order ($m \times m$) then the sum of diagonal elements is called

 
 
 
 

16. If $A$ is a square matrix, then $det(A – \lambda)=0$ is known as

 
 
 
 

17. The rank of a matrix $\begin{bmatrix}1 & 0 & 1 & 0 & 2 \\ 0 & 0 & 1 & 1 & 2 \\ 1 & 1 & 0 & 0 & 2 \\ 0 & 1 & 1 & 1 & 3\end{bmatrix}$ is

 
 
 
 

18. Let $x_1, x_2, \cdots, x_n$ be a random sample from a joint distribution with mean vector $\mu$ and covariance $\sigma$. Then $\overline{x}$ is an unbiased estimator of $\mu$ and its covariance matrix is:

 
 
 
 

19. Eigenvalues and Eigenvectors are only for the matrices

 
 
 
 

20. A square matrix $A$ and its transpose have the Eigenvalues

 
 
 
 


Multivariate Analysis MCQs

Multivariate Analysis MCQs

  • If $A$ and $B$ are two $n \times n$ matrices, which of the following is not always true?
  • Let $x_1, x_2, \cdots, x_n$ be a random sample from a joint distribution with mean vector $\mu$ and covariance $\sigma$. Then $\overline{x}$ is an unbiased estimator of $\mu$ and its covariance matrix is:
  • Let $x$ be distributed as $N_p(\mu, \sigma)$ with $|\sigma | > 0$, then $(x-\mu)’ \sigma^{-1} (x-\mu)$ is distributed as:
  • Let $A$ be a $k\times k$ symmetric matrix and $X$ be a $k\times 1$ vector. Then
  • Let $x_1, x_2, \cdots, x_n$ be a random sample of size $n$ from a p-variate normal distribution with mean $\mu$ and covariance matrix $\sigma$, then
  • The set of all linear combination of $X_1, X_2, \cdots, X_k$ is called
  • A set of vectors $X_1, X_2, \cdots, X_n$ are linearly independent if
  • Length of vector $\underline{X}$ is calculated as
  • A matrix in which the number of rows and columns are equal is called
  • A matrix $A_{m\times n}$ is defined to be orthogonal if
  • If $A$ is a square matrix of order ($m \times m$) then the sum of diagonal elements is called
  • The rank of a matrix $\begin{bmatrix}1 & 0 & 1 & 0 & 2 \ 0 & 0 & 1 & 1 & 2 \ 1 & 1 & 0 & 0 & 2 \ 0 & 1 & 1 & 1 & 3\end{bmatrix}$ is
  • If $A$ is a square matrix, then $det(A – \lambda)=0$ is known as
  • The pdf of multivariate normal distribution exists only when $\sigma$ is
  • The eigenvalue is the factor by which the Eigenvector is
  • Eigenvalue is often introduced in the context of
  • How many Eigenvalues does a 2 by 2 matrix have?
  • What are Eigenvalues?
  • Eigenvalues and Eigenvectors are only for the matrices
  • A square matrix $A$ and its transpose have the Eigenvalues

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