F value is the ratio ofa.Mean square between and Mean square withinb.Mean square within and Mean square betweenc.sum of square and degree of freedomd.sum of square within and degree of freedom
Question
F value is the ratio ofa.Mean square between and Mean square withinb.Mean square within and Mean square betweenc.sum of square and degree of freedomd.sum of square within and degree of freedom
Solution
The F value is the ratio of:
a. Mean square between and Mean square within
In the context of an ANOVA (Analysis of Variance), the F value is calculated as the ratio of the Mean Square Between (MSB) and the Mean Square Within (MSW). This is used to determine whether the means of several groups are equal.
MSB is the average of the group variances, with each group variance being the squared difference between the group's mean and the overall mean. MSW, on the other hand, is the average of the variances within each group.
The F value is calculated as follows: F = MSB/MSW. A high F value indicates that the group means are significantly different.
Similar Questions
The mean square is the sum of squares divided byGroup of answer choicesNone of these alternatives is correctits corresponding degrees of freedom minus oneits corresponding degrees of freedomthe total number of observations
f the values of a series is divided by a common factor, it is said to be
Suppose that the F ratio calculated for a particular experiment is equal to .04. Which of the following can be concluded?0 pointsA calculation error must have been madeThe null hypothesis cannot be rejectedThe null hypothesis can be rejected at the .05 levelNothing can be concluded without knowing the degrees of freedom
F=MSR/MSE,t=b1/s(b1), 为什么t^2=F
What does the F-statistic in ANOVA measure?a.Difference between group meansb.Variability within groupsc.Total variability in the datad.Ratio of between-group variability to within-group variabilityClear my choice
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.