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Dr. Copeland noted the following results in her manuscript: [tex]F(3,116)=0.80, p=0.01, \eta^2=0.27[/tex].

Which of these numbers represents the [tex]F[/tex] score in this results write-up?

A. 3
B. 116
C. 0.80
D. 0.27

Answer :

In Dr. Copeland's manuscript, she noted several statistical results formatted in a particular way: [tex]\( F(3,116)=.80, p=.01 \)[/tex], eta [tex]\(\eta^2=.27\)[/tex].

Here's how to interpret each number in the statistical notation:

1. F Score: This is the main statistic of interest in an ANOVA (Analysis of Variance) test. In the notation [tex]\( F(3,116)=.80 \)[/tex], the number directly after the equals sign is the F score, which is 0.80.

2. Degrees of Freedom: In the expression [tex]\( F(3,116) \)[/tex]:
- The first number, [tex]\(3\)[/tex], represents the degrees of freedom between groups.
- The second number, [tex]\(116\)[/tex], represents the degrees of freedom within groups (or error degrees of freedom).

3. P-value: This indicates the probability of obtaining an F score at least as extreme as the one observed, under the null hypothesis. Here, [tex]\( p=.01 \)[/tex].

4. Eta Squared ([tex]\(\eta^2\)[/tex]): This is a measure of effect size, indicating the proportion of variance accounted for by the factor. Here, [tex]\(\eta^2=.27\)[/tex].

So, the F score in Dr. Copeland's write-up is 0.80.

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