Which of the answers below is the most likely explanation for the following discrepancy. Suppose we have a comparison of 3 means. Th sample sizes are n, = 3, n2 = 3, n3 = 4. We use Monte Carlo simulation to calculate the p-value for the null hypothesis Họ : 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 r 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. We should have continued running simulations until the simulated p-value equals the exact p-value.
Which of the answers below is the most likely explanation for the following discrepancy. Suppose we have a comparison of 3 means. Th sample sizes are n, = 3, n2 = 3, n3 = 4. We use Monte Carlo simulation to calculate the p-value for the null hypothesis Họ : 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 r 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. We should have continued running simulations until the simulated p-value equals the exact p-value.
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Transcribed Image Text: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 nį = 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.
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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