Background

            Having done lots of research on this study, it appears that there no such study that is the same as my study.  I did find other studies on  Wordament that does not relate to the number words to win it.  However, studies have been done on students knowing more vocabulary.  Some studies do say that Wordament is a good game to teach kids new vocabulary words.  The problem with that is that the game does not provide a definition since the game picks a random board without  replacement every two minutes and forty-five seconds.  I did some research on Boggle.  The studies that have been conducted are essentially the same as the studies conducted for Wordament.  The problem with that is that most versions of Boggle are that they are not an online game.  Boggle is a game with 16 fair dice that has one letter on each side of the die.  The number of boards in Boggle is more limited since only 16 dice are being used at once while Wordament less limited since the game randomly generates a board by using programing,  All 26 letters are factored in on each tile on Wordament while Boggle has one letter per side of the 16 dice. Boggle has a total of 59,025,489,844,657,012,604,928,000 boards. However, according to the Wordament official website, and seeing a post in a forum thread of an official Microsoft Employee, there are over 40,000,000,000,000,000,000,000 boards and those boards that have been used will not be used again, except for upload errors.  Like they are going to run out boards any time soon.  For an example, a board may have only one letter per square that’s a board.  Another board can be the same as the previous ones that has been used now with a theme added to the mix.  That is considered two different boards since the theme makes it a different configuration.  Not only that there are either/or tiles, letters in the corners, speed rounds, and more types of rounds increases the board count.  Knowing that the boards are randomly chosen by a computer and never used the same configuration of the board twice, except for upload errors, the samples are chosen at random without replacement.  Also, the people who are placing within the top 15 consistently are not cheating in anyway, shape, or form.  Those players are not using BOTs to find the best words for them.  I have seen videos on those players playing Wordament and legitimately swiping to find those words.  Microsoft does have an anti-cheat system for Wordament.  That system checks to see if an account uses a BOT if it strings high value words that are found in multiple rounds.