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Statistics · Studypool

Multivariate analysis of variance (MANOVA)

Overview

An investigator is interested on the effect of homeless status on quality of life and general health status. Homeless status is coded as 1, 2, and 3, which stand for Currently NOT Homeless, Acute, and Chronic respectively. The quality of life and general health status are measured on a scale of (1 – 5). The investigators collected data and presented you with the following dataset for analysis:Based on the dataset, address the following.

  1. Run a MANOVA analysis and review the resulting output.
  2. What is the potential multivariate null hypothesis? Write it in symbolic form
  3. Is there sufficient correlation among the dependent variables to justify the use of MANOVA?
  4. Was the assumption of Equality of Covariance Matrices violated? Why or why not?
  5. Is there a statistically significant multivariate effect of homeless status on the dependent variate?
  6. Which of the dependent variables achieved statistically significant differences among the groups?
  7. What would be the proper post hoc analyses for any statistically significant univariate effects. Provide rationale for your answer.
  8. Why would a researcher conduct a MANOVA instead of several ANOVAs?
  9. Write one to two paragraphs of how you will report this results in finding section of a dissertation or a journal article.