A Particular County in Indiana Employs Three Assessors Who Are $H _ { o } : \alpha _ { 1 } = \alpha _ { 2 } = \alpha _ { 3 } = 0 \text { at 1evel } 05 . H _ { o }$

Essay

A particular county in Indiana employs three assessors who are responsible for determining the value of residential property in the county. To see whether these assessors differ systemically in their assessments, five houses are selected, and each assessor is asked to determine the market value of each house. With factor A denoting assessors (I = 3) and factor B denoting houses (J=5), suppose SSA = 12, SSB = 110, and SSE = 26.
a. Test $H _ { o } : \alpha _ { 1 } = \alpha _ { 2 } = \alpha _ { 3 } = 0 \text { at 1evel } 05 . H _ { o }$
states that there are no systemic differences among assessors).
b. Explain why a randomized block experiment with only 5 houses was used rather than a one-way ANOVA experiment involving a total of 15 different houses with each assessor asked to assess 5 different houses (a different group of 5 for each assessor).