## Thursday, 23 August 2007

### Calculation Explanation

Using both rankings and grosses should eliminate bias that might arise from just using one of those values. If only the grosses were used, the results wouldn’t reflect the fluctuations in box office takings across different years; e.g. Frozen took less money than Star Wars: Episode VII – The Force Awakens, but both were the highest grossing films in their respective years. Similarly, if only the rankings were used, it wouldn’t reflect the difference in grosses between films ranked next to each other; e.g. in 2015, the difference in takings between the films ranked 1 and 2 was nearly \$400 million but the difference between the films ranked 31 and 32 was only approximately \$4.5 million.

I’ll explain the method for calculating the 1st set of scores i.e. the set that considers the top 7 films from each studio.
The top 7 films from Buena Vista/Disney in 2010 were:

Therefore, the total worldwide box office for Buena Vista/Disney in 2010 was \$3,795,235,739 and the total worldwide ranking was 121. These totals can respectively be seen in the two tables below, which include all of the box office totals and ranking totals for the other studios and years.

I then assigned scores to each of the values in the two tables. For the worldwide box office totals, I divided each total by the largest total, which in this case is the \$6,548,822,900 from Buena Vista/Disney in 2016. Therefore, Buena Vista/Disney in 2016 is awarded a score of 1 and all others are awarded a fraction of 1. Buena Vista/Disney in 2010 gets a score of 0.580 (3 d.p.) i.e. 3,795,235,739 / 6,548,822,900. The table of scores looks like this:

Assigning scores for the ranking totals was slightly different as, unlike the box office totals, the lowest score is the best. For these totals, I divided the smallest total by each value; the smallest total ranking in this case was 38 (Buena Vista/Disney in 2016). Buena Vista/Disney in 2010 gets a score of 0.314 (3 d.p) i.e. 38 / 121. This table of scores looks like this:

Finally, I calculated an average value of the box office score and the ranking score, to give the final score. For Buena Vista/Disney in 2010, the average score would be 0.447 (3 d.p.) i.e. (0.580 + 0.314) / 2. Therefore the final scores that are featured in the graphs look like this:

This is the 1st set of scores that I used. For the 2nd set I only considered the top 6 films from each studio in each year. For Buena Vista/Disney in 2010, I dropped Step Up 3-D from the calculations so the total worldwide box office for Buena Vista/Disney in 2010 was \$3,635,943,930 and the total worldwide ranking was 76.

I then performed the same steps to get that final average score as I described above. For the 3rd set of scores, I only considered the top 5 films from each studio in each year and so on.