This data will be analysed using two-way ANOVA test without replication, because there is two factors or the independent variables (the brand of laundry detergent and the water temperature) that has influence on the factor level or the outcome variable (the amount of dirt removed); and it is also considered as two- way ANOVA with replicate because each of the group (Brand A and Brand B) has only one observations under the three different water temperature condition.

Question

This data will be analysed using two-way ANOVA test without replication, because there is two factors or the independent variables (the brand of laundry detergent and the water temperature) that has influence on the factor level or the outcome variable (the amount of dirt removed); and it is also considered as two- way ANOVA with replicate because each of the group (Brand A and Brand B) has only one observations under the three different water temperature condition. 
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GPT 3.5 · Answer

The data will be analyzed using a two-way ANOVA test without replication. This is because there are two independent variables (the brand of laundry detergent and the water temperature) that have an effect on the outcome variable (the amount of dirt removed). Additionally, it can also be considered a two-way ANOVA with replication since each group (Brand A and Brand B) only has one observation for each of the three water temperature conditions.