Based on the information in Question 1, what were the degrees of freedom (DF) for the interaction of color and style, C?

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The question asks: Based on the information in Question 1, what were the degrees of freedom (DF) for the interaction of color and style, C?

First, note that the available data includes only a numerical answer: 2, and there are no answer options provided to evaluate against.

In ANOVA-style terms, the degrees of freedom for an interaction between two factors equals (levels of color − 1) × (levels of style − 1). Without knowing how many levels each factor has, we cannot compute the exact DF from first principles. However, the given answer value (2) suggests that the product (colors − 1) × (styles − 1) equals 2.

Consider the possible level configurations that yield an interaction DF of 2:
- If (colors − 1) = 1 and (styles − 1) = 2, then colors = 2 and styles = 3.
- If (colors − 1) = 2 and (styles − 1) = 1, then colors = 3 and styles = 2.
Other factor level combinations that produce DF = 2 are not possible, since the factors must have at least 2 levels each, and the product must exactly equal 2.

Now, regarding the provided information: since there are no answer choices to evaluate, we cannot discuss why one option would be correct or incorrect in the usual sense. Instead, we can reason about what this DF value implies about the experimental design: the interaction term accounts for how the effect of color changes across different levels of style, or vice versa, and a DF of 2 indicates two degrees of interaction information distributed across the combinations of levels as described above.

If you have Question 1’s details (the exact number of color levels and style levels), we could confirm the DF calculation explicitly by applying DF_interaction = (levels_color − 1) × (levels_style − 1).

PSYCH 3321 SP2025 (28481) Homework 12

Based on the information in Question 1, what were the degrees of freedom (DF) for the interaction of color and style, C?

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PSYCH 3321 SP2025 (28481) Homework 12

Based on the information in Question 1, what were the degrees of freedom (DF) for the interaction of color and style, C?

查看解析

登录即可查看完整答案

类似问题

The degrees of freedom of a 4 x 5 table is:

What happens as the df of a dataset is increased?

​A researcher reports df = 18 for a repeated-measures t statistic. This research study used a total of n = 19 participants.

A repeated-measures study using a sample of n = 20 participants would produce a t statistic with df = ____.​

If the population variance is unknown, then a degree of freedom is lost in the calculation of sample variance.

In a contingency table, what does the degrees of freedom indicate?

Suppose that a study compares the means of two groups. There are 40 males in Group 1 and 35 females in Group 2. The degrees of freedom for this study when using the t-test for the difference between means is:

What concept do "degrees of freedom" represent in statistical analysis?

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考试浏览器助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

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希望你的学习变得更简单

A researcher reports df = 18 for a repeated-measures t statistic. This research study used a total of n = 19 participants.

A repeated-measures study using a sample of n = 20 participants would produce a t statistic with df = ____.