What is ANOVA?

Module 11 Practice Questions (3)

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Mathematics
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University
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
ANOVA (Analysis of Variance) is a statistical method used to test differences between two or more group means. It helps determine if at least one group mean is significantly different from the others.
2.
FLASHCARD QUESTION
Front
What does it mean to reject the null hypothesis (H0)?
Back
Rejecting the null hypothesis (H0) indicates that there is sufficient evidence to support the alternative hypothesis, suggesting a significant effect or relationship exists in the data.
3.
FLASHCARD QUESTION
Front
What is a paired t-test?
Back
A paired t-test is a statistical method used to compare two related groups, such as measurements taken from the same subjects before and after a treatment.
4.
FLASHCARD QUESTION
Front
What is the significance level (alpha) in hypothesis testing?
Back
The significance level (alpha) is the threshold for determining whether to reject the null hypothesis, commonly set at 0.05, indicating a 5% risk of concluding that a difference exists when there is none.
5.
FLASHCARD QUESTION
Front
What does a p-value represent in hypothesis testing?
Back
A p-value indicates the probability of obtaining test results at least as extreme as the observed results, assuming the null hypothesis is true. A low p-value suggests strong evidence against the null hypothesis.
6.
FLASHCARD QUESTION
Front
What is the F-value in ANOVA?
Back
The F-value in ANOVA is a ratio of the variance between the group means to the variance within the groups. A higher F-value indicates a greater likelihood that at least one group mean is different.
7.
FLASHCARD QUESTION
Front
What does it mean if the p-value is less than the significance level?
Back
If the p-value is less than the significance level, it suggests that the observed data is statistically significant, leading to the rejection of the null hypothesis.
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