I am having a hard time figuring out these 2 exercises in this weeks chapter, if

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I am having a hard time figuring out these 2 exercises in this weeks chapter, if you could help me out I would really appreciate it! do TIO T da Al variables are independent, any hypothesis test, you must properly gather corresponding test before you can reach a logical conclusion. appropriate and ropriate data poe Incorrect Interpretation of Rejection of Null Hypothesis It is important to remember that when you reject the null hypothesis of an ANOVA test, you are simply stating that you have enough evidence to determine that at least one of the population means is different from the others. You are not finding them all to be different. One way to further test which of the population means differs from the others is explained in Extending Concepts in Section 10.4 Exercises EXERCISES 1. Preconceived Notions ANOVA depends on having independent variables. Describe an abuse that might occur by having dependent variables. Then describe how the abuse could be avoided. 2. Incorrect Interpretation of Rejection of Null Hypothesis Find an example of the use of ANOVA. In that use, describe what would be meant by "rejection of the null hypothesis." How should rejection of the null hypothesis be correctly interpreted? E TESTS AND THE F-DISTRIBUTION

Explanation / Answer

1) The model assumption (ANOVA depends on independent random samples) is quite strict and underscore the fact that ANOVA should be used only with dependnet variables that have been carefully and precisely measured. However, as long as thecategories are roughly equal in size, ANOVA can tolerate some vilation of model assumption. Therefore in situations where on eis uncertain or have samples of very different size, it is advisablle to use alternative test (Chi-square).

2) The F test in ANOVA comapres the amount of variation between categories with the amount of variation within categories. The greater the differenc ebetween categories (as measured by means) relative to the differences within categories (measured by standard deviations), the more likely the H0 is of no difference can be rejected. Rejection of H0 means one population mean is significantly different from another.

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