Respuesta :
c. At least one pair of treatment conditions has different means. The ANOVA test is used as the first stage in examining the variables that influence a certain data set.
After the test is complete, an analyst runs additional tests on the procedural elements that measurably contribute to the inconsistent nature of the data set. In order to produce more data that is consistent with the suggested regression models, the analyst uses the ANOVA test findings in an f-test.
Using the ANOVA test, you can compare more than two groups at once to see if there is a correlation between them. The F statistic, or F-ratio, which is the outcome of the ANOVA formula enables the examination of several groups of data to ascertain the variability within and across samples. The F-ratio result of the ANOVA will be relatively close to 1 if there is no discernible difference between the tested groups, which is known as the null hypothesis. The F-distribution is the distribution of each and every value that the F statistic could take. In reality, this is a collection of distribution functions, and the numerator degrees of freedom and denominator degrees of freedom are its two distinguishing characteristics.
The complete question is:
Suppose a researcher conducts an ANOVA analysis that compares three different treatments for depression: medication, cognitive behavioral therapy, and a control condition. The p-value for the F statistic is .04. Which of the following statements is true?
Select one:
a. All three pairs of groups have different means, within sampling error
b. All three groups have identical means
c. At least one pair of treatment conditions has different means
d. At least two of the three pairs of treatment conditions have different means
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