Question

An analysis of variance produces sstotal = 80 and sswithin = 30. for this analysis, what is ssbetween?

Answer 1

The analysis of variance produces sstotal = 80 and sswithin = 30 is

S$_b_e_t_w_e_e_n$ = 50

What is analysis of variance?

To examine the variations in means, analysis of variance is a group of statistical models and the corresponding estimation techniques. The statistician Ronald Fisher created ANOVA.

Why is it called Analysis of Variance?

The terminology "Analysis of Variance" rather than "Analysis of Means" could sound strange. You'll find that the name is appropriate given that the analysis of variance is used to draw conclusions regarding means. The general rather than the particular differences between means are tested using an ANOVA. By way of illustration, this is best understood.

According to the given information:

S$_t_o_t_a_l$  = 80

S$_W_i_t_h_i_n$ = 30

S$_b_e_t_w_e_e_n$ = ?

We know that :

S$_b_e_t_w_e_e_n$ = S$_t_o_t_a_l$  - S$_W_i_t_h_i_n$

               = 80  - 30

               =  50

The value of  S$_b_e_t_w_e_e_n$ = 50

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