Question

based on the results of your statistical analyses, select the correct values that correspond to the term in the first column.
f for the anova test
( df ) for the main effect of group (between - groups)
( df ) for error (within - groups)
p for the anova test
p for the difference between unrealistic doll and realistic doll groups
p for the difference between unrealistic doll and control (no doll) groups
p for the difference between realistic doll and control (no doll) groups
( eta^2 )
the values to choose from are 87, 0.979, 0.00, 0.875, 2, 303.306, with radio buttons for each term.

Answer:

To solve this, we analyze each term in ANOVA:

1. \( F \) for ANOVA test

In ANOVA, \( F \) - statistic is a ratio of between - group variance to within - group variance. The value \( 303.306 \) is a typical magnitude for an \( F \) - statistic (large \( F \) can indicate significant differences). So \( F \) for ANOVA test: \( 303.306 \).

2. \( df \) for main effect (between - groups)

For a one - way ANOVA with \( k \) groups, \( df_{between}=k - 1 \). If there are 3 groups (unrealistic, realistic, control), \( k = 3 \), so \( df_{between}=3 - 1=2 \). Thus, \( df \) for main effect (between - groups): \( 2 \).

3. \( df \) for error (within - groups)

If total \( N \) (total number of observations) and \( df_{total}=df_{between}+df_{within} \), and if we assume \( N = 89 \) (since \( df_{within}=N - k \), and with \( k = 3 \), \( df_{within}=87 \) when \( N=90 \)? Wait, more simply, in typical ANOVA outputs, \( df_{within} \) is often a larger number. Here, \( 87 \) is a common \( df_{within} \) (e.g., if \( N = 90 \), \( df_{within}=90 - 3 = 87 \)). So \( df \) for error (within - groups): \( 87 \).

4. \( p \) for ANOVA test

The \( p \) - value for ANOVA (overall test) is often a small value (indicating significance). Here, \( 0.00 \) (or near - zero) is the \( p \) - value for the ANOVA test. So \( p \) for ANOVA test: \( 0.00 \).

5. \( p \) for unrealistic vs realistic doll groups

Post - hoc tests (like Tukey) for group differences: a non - significant \( p \) - value (close to 1) might be here. \( 0.979 \) is a large \( p \) - value (non - significant), so \( p \) for unrealistic vs realistic: \( 0.979 \).

6. \( p \) for unrealistic vs control groups

Another post - hoc test: \( 0.875 \) is a large \( p \) - value (non - significant), so \( p \) for unrealistic vs control: \( 0.875 \).

7. \( p \) for realistic vs control groups

Assuming similar non - significance, but if we follow the pattern, but since we have to match, but let's confirm: Wait, maybe I mixed, but the key is to match each term:

• \( F \) for ANOVA: \( 303.306 \)
• \( df \) between: \( 2 \)
• \( df \) within: \( 87 \)
• \( p \) ANOVA: \( 0.00 \)
• \( p \) unrealistic - realistic: \( 0.979 \)
• \( p \) unrealistic - control: \( 0.875 \)
• \( p \) realistic - control: (if we assume, but maybe another value, but from the given, we assign as above)
• \( \eta^{2} \): (not given in the options? Wait, the options are 87, 0.979, 0.00, 0.875, 2, 303.306. Maybe \( \eta^{2} \) is not in the options, but for the given terms:

Let's summarize the correct matches:

Term	Correct Value
\( df \) for the main effect of group (between - groups)	\( 2 \)
\( df \) for error (within - groups)	\( 87 \)
\( p \) for the ANOVA test	\( 0.00 \)
\( p \) for the difference between unrealistic doll and realistic doll groups	\( 0.979 \)
\( p \) for the difference between unrealistic doll and control (no doll) groups	\( 0.875 \)
\( p \) for the difference between realistic doll and control (no doll) groups	(If we assume, but since the options are given, maybe the remaining value, but likely, the above are the key matches.)

For example, if we were to mark each:

• \( F \) for ANOVA: circle \( 303.306 \)
• \( df \) between: circle \( 2 \)
• \( df \) within: circle \( 87 \)
• \( p \) ANOVA: circle \( 0.00 \)
• \( p \) unrealistic - realistic: circle \( 0.979 \)
• \( p \) unrealistic - control: circle \( 0.875 \)

(Note: The last two \( p \) - values for realistic - control and \( \eta^{2} \) might need more context, but with the given options, the above are the clear matches.)