Answer :
The right answer is "O 3 within, 24 between." In the ANOVA result notation F(3,24), the first number (3) represents the degrees of freedom for the numerator, which corresponds to the number of groups or treatments minus 1. The second number (24) represents the degrees of freedom for the denominator, which corresponds to the total sample size minus the number of groups.
In ANOVA (Analysis of Variance), degrees of freedom (df) are used to quantify the amount of variability in the data. The numerator degrees of freedom (df1) represent the variability between groups or treatments, while the denominator degrees of freedom (df2) represent the variability within groups. In this case, df1 is 3 (number of groups minus 1) and df2 is 24 (total sample size minus number of groups).
The notation F(3,24) indicates that the F-statistic was calculated using df1 = 3 and df2 = 24. This means that there were 3 groups (or treatments) being compared in the analysis, and a total sample size of 27 (24 + 3). The F-statistic value of 11.89 and the associated p-value would have been calculated based on these degrees of freedom.
Understanding the degrees of freedom in ANOVA results is essential for interpreting the statistical significance of the F-test and making valid inferences about the differences between group means. In this case, knowing that there were 3 groups being compared and a total sample size of 27 helps contextualize the ANOVA result and its implications for the study's findings.
So correct option is 3 within, 24 between
