A survey will be conducted to compare the grade point averages of US high-school students from four different school districts. Students are to be randomly selected from each of the four districts and their grade point averages recorded. The ANOVA model most likely to fit this situation is:
A) one-way ANOVA.
B) two-way ANOVA.
C) randomised block design.
D) complete 4 * 4 factorial design.

Question

Quizplus · Accepted Answer

Since we are comparing grade point averages from different school districts, the most appropriate model is a one-way ANOVA. This model will allow us to compare the means of each district and determine if there is a significant difference between them. A two-way ANOVA would be appropriate if we were also interested in the effect of another variable, such as gender or socioeconomic status, on the grade point averages. A randomised block design and a complete 4 factorial design would be appropriate for experiments with multiple treatments or interventions, but not for this situation.

A Survey Will Be Conducted to Compare the Grade Point