Answer :
To determine the total degrees of freedom (df) in an analysis of variance (ANOVA) setting, more information is needed beyond just the Mean Square (MS) values between and within groups.
The provided values are:
- MS between = 10
- MS within = 5
However, to calculate the total degrees of freedom, we need additional details such as:
1. The number of groups or categories being compared.
2. The total number of observations/samples.
Degrees of freedom are calculated using the following elements:
1. Degrees of freedom between (df between) is determined by the number of groups minus one, i.e., (k - 1), where k is the number of groups.
2. Degrees of freedom within (df within) is determined by the total number of observations minus the number of groups, i.e., (N - k), where N is the total number of observations.
3. Total degrees of freedom (df total) is the sum of df between and df within, or simply (N - 1).
In this situation, without knowing the number of groups (k) or the total number of observations (N), we cannot calculate the explicit values for df between, df within, or df total. As such, it's impossible to determine the total degrees of freedom solely from the given MS values.
Therefore, the answer is:
d. can't tell
The provided values are:
- MS between = 10
- MS within = 5
However, to calculate the total degrees of freedom, we need additional details such as:
1. The number of groups or categories being compared.
2. The total number of observations/samples.
Degrees of freedom are calculated using the following elements:
1. Degrees of freedom between (df between) is determined by the number of groups minus one, i.e., (k - 1), where k is the number of groups.
2. Degrees of freedom within (df within) is determined by the total number of observations minus the number of groups, i.e., (N - k), where N is the total number of observations.
3. Total degrees of freedom (df total) is the sum of df between and df within, or simply (N - 1).
In this situation, without knowing the number of groups (k) or the total number of observations (N), we cannot calculate the explicit values for df between, df within, or df total. As such, it's impossible to determine the total degrees of freedom solely from the given MS values.
Therefore, the answer is:
d. can't tell
