Question 19

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 specifically designed to compare the means of three or more groups to determine if at least one group mean is significantly different from the others. This makes it the appropriate choice for analyzing differences in average donor solicitation amounts across multiple events.

A) Cluster

Cluster analysis is a statistical technique used to group similar objects into clusters based on selected characteristics. It does not evaluate differences in means across groups, which is the primary focus of the question regarding donor solicitation amounts.

B) ANOVA

ANOVA is the correct choice as it tests for significant differences in the average values among three or more groups. In this case, it can effectively determine if the average donor solicitation amounts differ between the three nonprofit hospital events.

C) Time series

Time series analysis focuses on data collected over time to identify trends, patterns, or seasonal variations. It does not assess differences in means across distinct groups or events, making it unsuitable for the question at hand.

D) Logistic regression

Logistic regression is used for predicting binary outcomes based on one or more predictor variables. It does not compare group means, which is necessary for determining differences in donor solicitation amounts, thus rendering it irrelevant to this analysis.

Conclusion

ANOVA is definitively the appropriate method for identifying significant differences in average donor solicitation amounts among the three nonprofit hospital events, as it is specifically designed for such comparisons. In contrast, the other options either focus on different aspects of data analysis or do not address the question of mean differences at all.