k उपचारों (treatments) और n प्रेक्षणों वाले पूर्णतः यादृच्छिक अभिकल्पना (completely randomized design) के लिए, जहाँ yij, iवें उपचार को प्राप्त करने वाली jवीं इकाई से प्राप्त अनुक्रिया है, ∑i∑j yij = y, और ∑j yij = yi• है। निम्नलिखित में से कौन सा विकल्प उपचारों के कारण वर्गों के योग (sum of squares due to treatments) को सही ढंग से दर्शाता है?

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?