While performing analysis of variance (ANOVA), the two types of variances that are analyzed in the data are:

A one-way ANOVA has 3 treatments (k = 3) and 4 observations per treatment (n = 4). The total sum of squares TSS = 120, and the sum of squares between treatments SST = 50. Find the sum of squares due to error (SSE).

Consider the two-way ANOVA model without interaction: Y ij = μ + α i + β j + ε ij , where i = 1, 2 and j = 1, 2. Here, μ is the overall mean, α i is the effect of the i-th level of factor A, β j is the effect of the j-th level of factor B, and ε ij is the random error with E(ε ij ) = 0. Which of the following linear parametric functions is estimable?