Discussion 15

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Statistics

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May 4, 2024

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Discussion 15 1. What is more useful for computing and understanding a measure of something, the average or the standard deviation? Why? The standard deviation is the most appropriate measure of variability when working with a population sample. It explains the extent the data is dispersed around the mean. When the standard deviation is low, it means that the data points are generally clustered around the mean. The average gives you an idea of the typical value in a dataset by summing up all values and dividing them by the number of data points. The average is useful for providing a single representative value that summarizes the entire dataset. 2. Why would you use a nonparametric statistic? nonparametric statistics are used when parametric assumptions are not met or when the data does not adhere to the requirements of parametric tests. They provide a robust and flexible alternative for analyzing data in situations where traditional parametric methods may not be appropriate. 3. If two things are correlated, does that mean one thing is causing the other to happen? No, correlation does not imply causation. When two variables are correlated, it means that there is a relationship or association between them, but it does not necessarily mean that one variable is causing the other to happen. 4. Describe an experiment requiring the statistic ANOVA for analysis. Describe the Dependent Variable, the Independent Variable, the Levels of the Independent variable, and make sure you are using the correct types of data for each variable. In this experiment, researchers compare the impact of three teaching methods - traditional lecture-based instruction, interactive group activities, and online tutorials on students’ math test scores. The study involves three groups of students randomly assigned to each teaching method. Independent variable: teaching methods and this is categorical data. Levels of the Independent Variable: Traditional Lecture, Group Activities and Online Tutorials. Dependent Variable: Math Test Scores, continuous data.
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