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Nonparametric Testing Practice

Master distribution-free statistical tests with 15 comprehensive questions covering sign tests, rank-based methods, chi-square tests, and practical applications.

15
Total Questions
0
Correct Answers
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Questions Attempted
Sign Test Fundamentals
1 questions
Question 1: Sign Test Application
Which of the following statements about the sign test is correct?...
Beginner
Not attempted
Wilcoxon Rank Sum Test
2 questions
Question 2: Rank Sum Distribution
In Wilcoxon rank sum test, if two sample distributions are identical (F(x) = G(x)), the rank sum W i...
Beginner
Not attempted
Question 8: Rank Sum Minimum Value
For two independent samples in Wilcoxon rank sum test with sample sizes m=10 and n=8, the minimum va...
Intermediate
Not attempted
Chi-Square Goodness-of-Fit
1 questions
Question 3: Degrees of Freedom Calculation
For a chi-square goodness-of-fit test with theoretical distribution containing 2 unknown parameters ...
Intermediate
Not attempted
Kolmogorov-Smirnov Test
1 questions
Question 4: K-S vs Chi-Square Test
The main difference between Kolmogorov-Smirnov test and chi-square goodness-of-fit test is:...
Intermediate
Not attempted
Chi-Square Independence Test
2 questions
Question 5: Contingency Table Degrees of Freedom
For a 2×2 contingency table independence test with sample size n, the asymptotic degrees of freedom ...
Intermediate
Not attempted
Question 9: Expected Frequency Formula
In chi-square independence test, the theoretical frequency E_{ij} = np̂_{i·}p̂_{·j} is calculated as...
Advanced
Not attempted
Run Test
1 questions
Question 6: Maximum Number of Runs
In run test, if a 0-1 sequence has n₁=5 zeros and n₂=5 ones, the maximum number of runs R is:...
Intermediate
Not attempted
Wilcoxon Signed Rank Test
1 questions
Question 7: Signed Rank vs Sign Test
The main advantage of Wilcoxon signed rank test over sign test is:...
Intermediate
Not attempted
Sign Test
1 questions
Question 10: Sign Test Rejection Region
In sign test, if testing H₀: tₚ ≥ t₀ vs H₁: tₚ < t₀, the rejection region is:...
Advanced
Not attempted
Test Assumptions
1 questions
Question 11: Nonparametric Test Assumptions
Which assumption is typically NOT required for nonparametric tests?...
Intermediate
Not attempted
Test Selection
1 questions
Question 12: Choosing Appropriate Tests
For comparing two independent samples when the population distributions are unknown and may not be n...
Intermediate
Not attempted
Large Sample Approximations
1 questions
Question 13: Normal Approximations
For which test is the large sample normal approximation Z = (statistic - E[statistic])/√Var(statisti...
Advanced
Not attempted
Efficiency and Power
1 questions
Question 14: Nonparametric vs Parametric Efficiency
Compared to parametric tests when their assumptions are met, nonparametric tests typically have:...
Advanced
Not attempted
Practical Applications
1 questions
Question 15: Real-World Applications
In which scenario would nonparametric tests be LEAST appropriate?...
Advanced
Not attempted

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