In: Statistics and Probability
We conduct a 1/2 fractional design (no replicates) to evaluate movie ratings. 4 factors:
- Length of movie
- Genre of movie
- popularity of movie
- year of movie
Is it possible to estimate all two-way interactions?
It is not possible to estimate all two way interactions effects, justfication is as follows,
Following interactions are possible;
1) Genre of movie and Popularity - because popularity dependes on movies genre and age of the population.
2) Genre of movie and year of movie - Perticular years of the film inustry will have specific genreous population.
And following interactions are not possible to estimate
1) Popularity and year - They dont have any relation and effetcts in between.
2) Length and Genre - They are. independent of each other
3) Length and Year
4) Length and Popularity dont have to do anything
HOpe this cleared the answer.
Hence it is not possible to estimate all two way interactions.