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California State University, Monterey Bay *

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Mathematics

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Nov 24, 2024

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MATH 1281 Discussion Assignment Unit 4 In this discussion post, I will give an example of paired data and unpaired data related to a clinical study on blood pressure. Example of Paired Data: Paired data involves measurements taken on the same set of subjects under different conditions (Diez et al., 2019). In the context of health, consider a study measuring the blood pressure of individuals before and after a specific intervention, such as a new medication. The paired data would consist of the before-and-after blood pressure readings for each participant. Example of Unpaired Data: Unpaired data involves measurements from two independent groups (Diez et al., 2019). In the health context, let's consider a comparison of blood pressure between two groups of individuals – one group receiving the standard treatment, and the other group receiving a placebo. The blood pressure measurements are independent between the two groups. Appropriateness of T-Procedure: Paired Data: For the paired data (before and after blood pressure readings), the appropriate procedure would be the one-sample t-procedure. This is because we are comparing the mean difference between the paired observations (before and after) to zero. The paired t-test is suitable in this case to determine if there is a significant change in blood pressure after the intervention. Unpaired Data: For the unpaired data (blood pressure measurements between two independent groups), the appropriate procedure would be the two-sample t-procedure. This is used to compare the means of two independent groups. In this context, we would be assessing whether there is a significant difference in mean blood pressure between the group receiving the standard treatment and the group receiving the placebo. In conclusion, the choice between one-sample and two-sample t-procedures depends on the nature of the data being analyzed. For paired data, where measurements are taken on the same set of subjects under different conditions, the one-sample t-procedure is suitable. For unpaired data, where measurements are taken from two independent groups, the two-sample t-procedure is appropriate. These statistical tools are crucial in health research for drawing valid conclusions about the effectiveness of interventions and the differences between groups. Word Count: 341 Reference

Diez, D., Cetinkaya-Rundel, M., Barr C. D., & Barr, C. D. (2019). OpenIntro statistics - Fourth edition. Open Textbook Library. Please access it from the homepage.

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