The College of Education for Pure Sciences organized a scientific lecture on (Analysis of Variance and Confidence Intervals in the Two-Way Cross-Classification Model)
The lecture presented by the lecturer (Fatima Hamid Ali) included in this study an explanation of how to divide the total variance of the data into multiple components to understand the effect of two independent factors, individually or interactively, on the dependent variable. This study was applied to a set of data to analyze the effect of the factors and the interaction between them accurately. Analysis of variance is used to test hypotheses about the effects of main factors and the interactions between them. Confidence intervals for the variance components are determined to provide accurate estimates of the effects of factors and interactions at a given level of confidence, which helps improve the interpretation of results. This statistical approach is fundamental to the design and analysis of experiments, and is widely used in fields such as science, industry, and agriculture to analyze relationships between variables.