RESEARCH METHODOLOGY

METHODS OF DATA ANALYSIS

PARAMETRIC AND NON PARAMETRIC TESTS

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
The resulting p-value for two-tailed test of the Wilcoxon signed rank is 0.123. What is the p-value if we decided to use one-tailed test?
A
0.123
B
0.05
C
0.0605
D
0.06
Explanation: 

Detailed explanation-1: -For an upper-tailed test, the p-value is equal to one minus this probability; p-value = 1-cdf(ts). For a two-sided test, the p-value is equal to two times the p-value for the lower-tailed p-value if the value of the test statistic from your sample is negative.

Detailed explanation-2: -On the other hand, if the p-value is above 0.05, we can not say that H0 is true, that is, we can not say that the data are equal. We can just say that we have not enough evidences to reject H0.

Detailed explanation-3: -For the Wilcoxon test, a p-value is the probability of getting a test statistic as large or larger assuming both distributions are the same. In addition to a p-value we would like some estimated measure of how these distributions differ. The wilcox. test function provides this information when we set conf.int = TRUE .

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