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This lecture by the instructor covers the analysis of variance (ANOVA) method, focusing on the partitioning of the total sum of squares (SS) into treatment and error components. The lecture explains the calculation of SST (sum of squares treatment) and SSE (sum of squares error) and their respective degrees of freedom. It also delves into the mean square treatment (MST) and mean square error (MSE) calculations, emphasizing the significance of these values in ANOVA. Additionally, the lecture discusses the Fisher statistic and the F-distribution, providing insights into hypothesis testing and the interpretation of ANOVA results.