Children are generally believed to have considerable influence over their parents in the purchase of certain items, particularly food and beverage items. To study this notion further, a study is conducted in which parents are asked to report how many food and beverage items purchased by the family per week are purchased mainly because of the influence of their children. Because the age of the child may have an effect on the study, parents are asked to focus on one particular child in the family for the week and to report the age of the child.
Four age categories are selected for the children: 4€“5 years, 6€“7 years, 8€“9 years, and 10€“12 years. Also, because the number of children in the family might make a difference, three different sizes of families are chosen for the study: families with one child, families with two children, and families with three or more children. Suppose the following data represent the reported number of child-influenced buying incidents per week. Use the data to compute a two-way ANOVA. Let α =.05.

Number of Children in Family 3 or more 4 5 4 Age of 6-7 Child (years) 8-9 4 10-12 4