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Answers for “在这段视频中,组内变异和组间变异是什么意思?”

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Total variation in the observed scores is split into two parts: within-group variation, which is caused by differences among individuals inside the same group, and between-group variation, which is associated with differences among the groups themselves.

Conditions: The data are organized into multiple groups.; One is analyzing variation in a measured response across those groups.

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The video states that a t-test is appropriate for comparing only two groups, whereas when there are three groups or more, a different approach called the analysis of variance (ANOVA) is required.

Conditions: There are three or more groups being compared.; The goal is to determine whether the group means differ.

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The null hypothesis states that the mean reaction time for all three groups is the same. Symbolically, it is expressed as H0:μ1=μ2=μ3H_0: \mu_1 = \mu_2 = \mu_3.

Conditions: There are exactly three groups in the displayed example.; The compared quantity is mean reaction time.

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In Example 1, there is a lot of variation within each group but not much variation between the groups. Because most of the difference is due to the people rather than the drink, the video concludes that the drink did not make much of a difference, leading to accepting the null hypothesis.

Conditions: The displayed Example 1 data are used.; Within-group variation is much larger than between-group variation.