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Which of the answers below is the most likely explanation for the following discrepancy. Suppose we have a comparison of 3 means. The sample sizes
Which of the answers below is the most likely explanation for the following discrepancy. Suppose we have a comparison of 3 means. The sample sizes are nj = 3, n2 = 3, n3 = 4. We use Monte Carlo simulation to calculate the p-value for the null hypothesis Ho : F1(x) = F2(X) = F3(X). We do 1000 simulations and find 15 simulations result in an F-statistic as large as or larger than the observed value. The p-value based on the exact permutation distribution was found to be p=0.010. Since this p-value would suggest a non- significant test at a = 0.010 Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a Our Monte Carlo program must be wrong because the simulated p-value always equals the exact p-value. b We should not expect the simulated p-value p-value to equal the exact p-value. C We should have continued running simulations until the simulated p-value equals the exact p-value. d We know that the simulated p-value is always larger than the exact p-value from the permutation distribution
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