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4. Below, you will find an ANOVA table reporting the results of a (hypothetical) experiment on the effects of using different Instagram filters on a measure of social media engagement. A randomized complete block design is used; the identity of the influencers making the posts are used as a blocking variable. Assume that an additive two-way fixed-effect ANOVA model is appropriate here. (a) Does influencer identity make sense as a blocking variable? Explain. (b) At a = 0.01, can you conclude that different filters have different levels of engagement? Explain. (c) Would you say that this design is more efficient than a complete randomized design? Explain, being as specific as possible. Df Sum Sq Mean Sq F value Pr(>F) influencer 1.97 0.66 74.31 0.0026 filter 0.05 0.05 5.29 0.1049 Residuals 0.03 0.01