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Depressed patients were randomly assigned to one of three groups: a placebo group, a group that...

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Statistics

Depressed patients were randomly assigned to one of threegroups: a placebo group, a group that received a moderate dose ofthe drug, and a group that received a high dose of the drug. Afterfour weeks of treatment, the patients completed the Beck DepressionInventory. The higher the score, the more depressed thepatient.

We are now also interested if a patient's weight has an effecton the drug's effectiveness. Patients were categorized as eitherunderweight, overweight, or 'medium weight'.  Theserevised data are presented below. Use the Microsoft Excel \"AnovaSingle-Factor\" Data Analysis tool to conduct a 2-wayANOVA test for the data in the following table:

PlaceboModerate DoseHigh Dose
underweight422213
underweight521914
medweight413112
medweight412119
overweight39810
overweight33230
  1. Should this be a 2-way test WITH replication or WITHOUTreplication?
  2. What are the three Questions, incontext, that we want our ANOVA to answer?
  3. What are your threeanswers?  Use the group and interactionconfidence levels obtained by way of the Excel ANOVA output table'sp-values.   State your answers in terms of dose andweight.

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