| Name of the file: Firestone: Online Idle RPG Cheat Codes - Author: DAV |
| Firestone: Online Idle RPG Cheat Codes: ------------ Submitted by: David K. How to Calculate: ----------------- There is a tool from mathematical statistics called the chi-squared test (see Wiki: https://en.wikipedia.org/wiki/Pearson's_chi-squared_test). What you do is compare your observed statistics with the assumed probability distribution from the game and calculate the probability that they match. Example: Assume the game tells you that an event occurs with 5% probability. However, after 100 observations the event didn’t occur a single time. -=0What is the probability for that?=- We have two categories in the chi-squared test: * Category 1: The event occurs. The null hypothesis says this should happen 5 times out of 100. * Category 2: The event doesn’t occur. The null hypothesis says this should happen 95 times out of 100. The chi-squared value is calculated as: (#ocurrences – #expected)^2 / #expected summed over all categories. * In our example: chi-squared = (0 - 5)^2 / 5 + (100 - 95)^2 / 95 = 25/5 + 25/95 = 5.26 Now how probable is this? You look up the probability in the table of p-values for the chi-squared distribution (see Wiki). In our case we have 1 degree of freedom, so we look it up in the first row of that table. A chi-squared value of 5.26 lies between 3.84 and 6.63, so the probability of that happening is somewhere between 1% and 5%. Useful Tips for Prestige: ------------------------- Each prestige, you will climb up to where you farm gold the fastest. This stage is sometimes referred to as the “farm stage”, and will be a few stages below the highest stage you can clear. For online farming, this will be the highest stage where 4-5 of your heroes in the party (or all your heroes if you have less than 5 in your party) can 1-shot the enemy. For offline farming, it will be the highest stage where the total damage of all your heroes in the party is greater than the total enemy health for the wave. The way prestige works is kinda like this: All your upgrades from research etc work towards filling a cup. Each time you prestige, you drink some of the stuff in the cup, which gives you more firestones and exp and causes you to level up. This means that above level 140 (perhaps as high as ~400 now that there is an extended talent tree with research timer reductions), it really doesn’t matter when or how often you prestige (i.e. drink from the cup), as long as you do prestige sometimes, since more levels don’t help you unlock anything or research any faster (i.e. fill up the cup faster). If you prestgie really often, eventually the cup will run dry and you’ll be sitting there waiting for your research to catch up. If you never prestige, you’ll be able to empty the cup within a week or so with a bunch of prestiges. Below that though, you want to level up as quickly as possible to unlock all the new features (and research timer reductions, if you’re active enough to make full use of them), since those actually help your cup fill up faster. When exactly you prestige depends on a lot of factors – a general rule of thumb is to sit at the farm stage as long as your multiplier is climbing significantly, or the gold you would earn in the next ~2 hours (the time taken to climb back up to your farm stage after prestige) is larger than the total gold earned so far. When that’s no longer true, it’s a reasonable time to prestige. Overall, I wouldn’t be too concerned about it – as long as you are prestiging sometimes or fairly often, the actual progress gained/lost from absolutely optimal prestiging is pretty negligible. It’s definitely less important than how much dead time there is between each research ending and the next one starting. |