### Exercise 15.38: Cooking Vegetables in Different PotsLet's first examine the data for the 12 observations of the vegetable dish. We are interested in determining whether the iron content in the vegetable dish varies when cooked in aluminum, clay, and iron pots.#### Observations Table| Pot | Rep | Dish | Iron content ||------------|-----|------------|--------------|| Aluminum | 1 | vegetable | 1.03 || Aluminum | 2 | vegetable | 1.53 || Aluminum | 3 | vegetable | 1.07 || Aluminum | 4 | vegetable | 1.30 || Clay | 1 | vegetable | 1.55 || Clay | 2 | vegetable | 0.79 || Clay | 3 | vegetable | 1.68 || Clay | 4 | vegetable | 3.52 || Iron | 1 | vegetable | 2.45 || Iron | 2 | vegetable | 2.99 || Iron | 3 | vegetable | 2.80 || Iron | 4 | vegetable | 2.92 |#### Analysis Questions(a) **Check the conditions for one-way ANOVA. Which requirements are a bit dubious in this setting?**- One-way ANOVA assumptions: 1. **Independence:** The observations must be independent of each other. 2. **Normality:** The distribution of the residuals should be approximately normal. 3. **Homogeneity of variances:** The variances among the groups should be approximately equal. In this setting, we need to check these assumptions: - **Independence** might be assumed because the replications are likely done separately. - **Normality** might be questionable due to the small sample size (n=4 for each group). A normality test such as the Shapiro-Wilk test or examining a Q-Q plot may be needed. - **Homogeneity of variances** can be checked using Levene's test or examining the variance in each group to ensure they are roughly equal.(b) **Instead of using ANOVA, consider using a nonparametric method

Given the data asPotRepDishIron…

Answered: 3. Exercise 15.38. Cooking vegetables…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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