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In: Statistics and Probability

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

Depressed patients were randomly assigned to one of three groups: a placebo group, a group that received a moderate dose of the drug, and a group that received a high dose of the drug. After four weeks of treatment, the patients completed the Beck Depression Inventory. The higher the score, the more depressed the patient.

We are now also interested if a patient's weight has an effect on the drug's effectiveness. Patients were categorized as either underweight, overweight, or 'medium weight'.  These revised data are presented below. Use the Microsoft Excel "Anova Single-Factor" Data Analysis tool to conduct a 2-way ANOVA test for the data in the following table:

Placebo Moderate Dose High Dose
underweight 42 22 13
underweight 52 19 14
medweight 41 31 12
medweight 41 21 19
overweight 39 8 10
overweight 33 23 0
  1. Should this be a 2-way test WITH replication or WITHOUT replication?
  2. What are the three Questions, in context, that we want our ANOVA to answer?
  3. What are your three answers?  Use the group and interaction confidence levels obtained by way of the Excel ANOVA output table's p-values.   State your answers in terms of dose and weight.

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orchestra answered 1 year ago
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