[4 marks] b) i. Describe the layout of data that may be suitable for one-way Analysis of Variance (ANOVA). [4 marks]
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For one-way ANOVA, the data layout typically involves one dependent variable and one independent variable (factor) with two or more groups. You would arrange the data in a table format where each row represents an individual observation, and the columns include the groups (often labeled with the name of the group or category) and their corresponding measurement values for the dependent variable. For instance, if you were studying the effect of different diets on weight loss, one column could list diet types (e.g., Diet A, Diet B, Diet C), and the next column would show the weight loss measurements for participants in each diet group. In addition, making sure your data is organized well is essential! Each group's data should be separated clearly and consistently. If you have unequal sample sizes for the groups, don’t fret—ANOVA can handle that! Just be cautious with ensuring your assumptions, like normality and homogeneity of variances, are checked before diving into results. This helps keep your analysis credible and insightful!
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