Question

1. Provide an example where a two-way ANOVA would be appropriate. Then, describe the hypothesized interaction effect (how does the effect of IV #1 depend on the effect of IV #2?).

Answer 1

Above I have performed 2 way ANOVA with interaction effect in R where the hypothesis under check is 4 analysts used 3 methods A,B,C of titration to get the results to determine if titration results have any dependency on analyst,method or their interaction

Ho: Methods do not have any impact on the titration results

Ho:Analysts do not have any impact on the titration results

Ho:Interaction effect of Analyst & Method do not have any impact on the titration results

These 3 hypothesis were under check and for each we have p values as 0.262,0.453 and 0.604 respectively as shown in the summary result and hence for all the 3 results we cannot reject Ho

Henec in this specific example we can say that neither the mothod,analyst nor their interaction effect has any significant impact on the titration result (If you are not a science student then you can understand titration as an experiment)

Hope the above answer has helped you in understanding the problem. Please upvote the ans if it has really helped you. Good Luck!!