The degrees of freedom for the numerator (df1) is 6.
The degrees of freedom for the numerator (df 1 ) in an analysis of variance (ANOVA) setting represent the variability between groups.
In this study, which compared seven groups, the formula for df 1 is given by the number of groups minus 1.
In mathematical terms, df1 =number of groups−1. Therefore, for seven groups:
df1 =7−1=6
The numerator degrees of freedom (df 1 ) in this context is 6.
These degrees of freedom are critical in determining the critical value of the F statistic and, subsequently, in assessing whether the observed differences between group means are statistically significant.
In the context of the F statistic (4.13) reported in the study, these degrees of freedom help establish the distribution of the F statistic under the null hypothesis.
Specifically, the F statistic follows an F-distribution with
df 1 degrees of freedom in the numerator when comparing group means.
The calculating degrees of freedom are fundamental aspects of statistical hypothesis testing, contributing to the assessment of the statistical significance of observed differences between groups.