Age of Empires IV allows players to choose one of a set of asymmetric factions to control in a real time strategy contest. One of the challenges of asymmetric factions is balancing the abilities of each so that no one faction is the 'best' or wins more often against players of equal skill. The software developer has run an experiment randomly assigning 800 playtesting volunteers of equal skill to one of the factions in a match of the game against the computer. The response variable is the number of points scored (comprehensive measure of in game performance). How many factions were included in the experiment?

Analysis of Variance Source DF Adj SS Adj MS F-Value P-Value Faction 7 32117969044 4588281292 17465.17 0.000 Error 792 208066585 262710 Total 799 32326035629 Coefficients Term Coef SE Coef T-Value P-Value VIF Constant 25024.1 18.1 1380.91 0.000 Faction Abbasid Dynasty 101.8 47.9 2.12 0.034 1.75 Chinese 1549.6 47.9 32.32 0.000 1.75 Delhi Sultanate -65.4 47.9 -1.36 0.173 1.75 English 3024.5 47.9 63.08 0.000 1.75 French -48.1 47.9 -1.00 0.316 1.75 Holy Roman Empire -14526.0 47.9 -302.97 0.000 1.75 Mongols 9930.1 47.9 207.12 0.000 1.75