Use the preparation materials to prepare hand-written answers for the following questions. Please ask any questions on the "Questions -- Preparation Guide" on the course Team (see link on the homepage).
  1. Define factor, levels, treatments, and replicates. [Note that you may need to refer to your “Data Production” chapter from your introductory statistics course.]
  2. Define each of the following symbols – a, b, m, i, j, and k.
  3. What generic symbols are used for each of the following:
    1. Observed response variable for an individual.
    2. Grand mean
    3. Level means for Factor A.
    4. Level means for Factor B.
    5. Treatment means.
  4. What are formulae for the following:
    1. SSTotal and dfTotal.
    2. SSWithin and dfWithin.
    3. SSAmong and dfAmong. [Note: you should have two formulae for each.]
    4. SSA and dfA.
    5. SSB and dfB.
    6. SSA:B and dfA:B.
    7. Total number of individuals.
    8. Total number of treatments.
  5. Which “symbol” would be attached to each of the following:
    1. Sum of squared residuals of individuals around the treatment/group means.
    2. Sum of squared residuals of individuals around the grand mean.
    3. Sum of squared differences between treatment means and the grand mean.
    4. Sum of squared differences between Factor A level means and the grand mean.
    5. Sum of squared differences between Factor B level means and the grand mean.
  6. Define each of the following in terms of what variance it measures: MSTotal, MSWithin, MSAmong, MSA, and MSB.
  7. The ANOVA table has three F-ratio test statistics. Show how each one is calculated.