STATISTICAL TECHNIQUES AND TOOLS
ANALYSIS OF VARIANCE
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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A large sample F-ratio (F test statistic) is likely to lead us to ____ in an ANOVA test.
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reject Ho
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not reject Ho
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reject Ha
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not reject Ha
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Explanation:
Detailed explanation-1: -The F value is used in analysis of variance (ANOVA). It is calculated by dividing two mean squares. This calculation determines the ratio of explained variance to unexplained variance.
Detailed explanation-2: -A large F-value means the between-group variation is larger than your within-group variation. This can be interpreted to mean there is a statistically significant difference in your group means.
Detailed explanation-3: -ANOVA uses the F-test to determine whether the variability between group means is larger than the variability of the observations within the groups. If that ratio is sufficiently large, you can conclude that not all the means are equal.
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