ADVANCED STATISTICS EXAMINATION QUESTIONS AND CORRECT ANSWER WITH EXPLANATION GRADED A+ STUDY GUIDE

ADVANCED STATISTICS EXAMINATION QUESTIONS AND
CORRECT ANSWER WITH EXPLANATION GRADED A+
STUDY GUIDE SOUTHERN NEW HAMPSHIRE UNIVERSITY
1. Advanced statistics primarily focuses on:
A. Complex data analysis and inference
B. Simple arithmetic only
C. Drawing diagrams only
D. Memorization only
Answer: A
Rationale: It deals with advanced analytical methods.

2. Maximum likelihood estimation (MLE) is used to:
A. Estimate parameters
B. Draw graphs
C. Count data only
D. Sort lists
Answer: A
Rationale: Finds best parameter values.

3. A likelihood function measures:
A. Data fit given parameters
B. Probability of constants
C. Graph shape
D. Mean only
Answer: A
Rationale: Model-data agreement.

4. Bayesian inference combines:
A. Prior and data
B. Mean and median
C. Graph and set
D. Algebra only
Answer: A
Rationale: Updates beliefs.

5. Prior distribution represents:
A. Initial belief

, B. Final result
C. Data only
D. Error only
Answer: A
Rationale: Before observing data.

6. Posterior distribution is:
A. Updated belief
B. Initial guess
C. Constant
D. Graph only
Answer: A
Rationale: After data is observed.

7. Bayesian formula uses:
A. Bayes theorem
B. Pythagoras
C. Integration only
D. Matrices only
Answer: A
Rationale: Conditional probability.

8. Markov chain describes:
A. Memoryless process
B. Deterministic system
C. Static model
D. Graph only
Answer: A
Rationale: Future depends only on present.

9. Markov property means:
A. No memory of past
B. Full memory
C. Random only
D. Constant
Answer: A
Rationale: History independence.

10. Transition matrix shows:
A. State changes

, B. Graph colors
C. Means
D. Variance
Answer: A
Rationale: Movement probabilities.

11. Stationary distribution is:
A. Stable long-run state
B. Random state
C. Initial state
D. Error
Answer: A
Rationale: Equilibrium distribution.

12. Central limit theorem states:
A. Distribution becomes normal
B. Always uniform
C. Always zero
D. Always constant
Answer: A
Rationale: Sum of variables tends to normal.

13. Law of large numbers states:
A. Sample mean approaches population mean
B. Random increases
C. Always zero
D. Always one
Answer: A
Rationale: Long-run convergence.

14. Confidence interval gives:
A. Range of estimate
B. Exact value
C. Constant
D. Graph only
Answer: A
Rationale: Uncertainty range.

15. 95% confidence means:
A. 95% of intervals contain true value