Question 55

ANOVA determines whether there was a significant difference in the average donor solicitation amount between three nonprofit hospital events.

ANOVA, or Analysis of Variance, is the appropriate statistical method to compare the means of three or more groups to determine if at least one group mean is significantly different from the others. This is particularly relevant in assessing the average donor solicitation amounts across different nonprofit hospital events.

A) Logistic regression

Logistic regression is used for predicting the outcome of a categorical dependent variable based on one or more predictor variables. It is not suitable for comparing means across multiple groups, making it an incorrect choice for this analysis.

B) Time series

Time series analysis focuses on data points collected or recorded at specific time intervals to identify trends over time. It does not evaluate differences between group means and thus is not applicable for comparing donor solicitation amounts between events.

C) ANOVA

ANOVA is specifically designed to compare the means of three or more groups to identify if there are any statistically significant differences among them. In this case, it allows for the assessment of the average donor solicitation amounts across the three nonprofit hospital events.

D) Cluster

Cluster analysis is a technique used to group similar objects or cases based on selected characteristics. It does not test for differences in group means and is therefore not relevant for determining the significant difference in donor solicitation amounts.

Conclusion

ANOVA is definitively the correct choice for this analysis as it directly addresses the comparison of means among three groups. The other options either focus on different types of analysis or do not provide a mechanism for comparing averages, which is the core requirement of this question.