Which type of analysis determines whether there was a significant difference in the average donor solicitation amount between three nonprofit hospital events?

Logistic regression is used for predicting the probability of a binary outcome based on one or more predictor variables. It does not analyze differences in means across multiple groups; instead, it focuses on estimating the likelihood of a categorical response, making it unsuitable for the question regarding average donor solicitation amounts.

Time series analysis involves examining data points collected or recorded at specific time intervals to identify trends, cycles, or seasonal variations. While it can provide insights into changes over time, it does not compare means between different groups, which is necessary for determining differences in donor solicitation amounts across hospital events.

Cluster analysis is a technique used to group similar objects or observations based on selected characteristics, but it does not test for differences between group means. It is primarily used for identifying patterns and segmenting data rather than for comparing average values, which is the goal in this question.