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When creating a research design (e.g., RCT, longitudinal, case-controlled) to assess infection rates among different hospitals, describe how each of the four statistical analysis methods

When creating a research design (e.g., RCT, longitudinal, case-controlled) to assess infection rates among different hospitals, describe how each of the four statistical analysis methods would be feasible (or not) and how each statistical analysis method contributes to answering the research question (infection rates among different hospitals): Chi-square, Fisher's exact, ANOVA, Poisson Regression. This could be used to track hospital-acquired infections at four different hospitals, MRSA infections in the surgical ICU, for example. Of the statistical analysis methods provided, how could each method produce analyses or information that help answer if some hospitals have statistically significant differences in MRSA infections?

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