Question

In: Statistics and Probability

We conduct a 1/2 fractional design (no replicates) to evaluate movie ratings. 4 factors: - Length...

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?

Solutions

Expert Solution

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.


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