Children are generally believed to have considerable influence over their parent

Question

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 been 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 fmaily 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 alpha = 0.05

Number of Children in Family 1 2 3 or more 4-5 yrs    2 1 1 Age of childrens years) 4    2 1 6-7 yrs 5 3 2 4 1 1 8-9 yrs 8 4 2 6 5 3 10-12 yrs 7 3 4    8 5 3

Explanation / Answer

Solution:

Data :

G=10-12 yrs

output : this can be computed in excel with data analysis pack and select 2 way anova with replication

Explanation : A 2 way anova method is used to find the difference between the factors within the group

Sample : As seen in the output, the sample p value is 0.0002, which is statistically significant and tell us that there is significant difference between the years i. e in D E F and G.

Columns : The P value for coloumn is 4.68E-05 i.e less than or equal to 0, Thus coloumns are statistically significant, which mean there is signifcant difference between the A B and C.

Interaction : The P value is 0.55 or 55% which is greater than our alpha of 0.05 or 5%, which means there is no relationship betweent the no of childs and ages.

Conclusion : Since the interaction term is huge we fail to reject our null hypothesis of difference between the groups.

A B C D 2 1 1 4 2 1 E 5 3 2 4 1 1 F 8 4 2 6 5 3 G 7 3 4 8 5 3

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