Thank you for providing that link. It does contain quite clear and concise COUNTIF examples, which I have tried to use repeatedly. Perhaps I am being obtuse or am I just not able to clearly explain my problem?
The examples I found there seem to mirror others I have tried over and over. All only show formulas which will compare the cells in one column to a particular given value or to a particular cell. Once again I tried writing formulas over and over without success.
The result I need should return a count after comparing each cell in one column to corresponding cells in another column. In my spreadsheet there are 30 rows (30 players). Column B contains the game level of a player on Monday and Column F contains player game level on the following Sunday. I need a formula that will compare F1 to B1 to see if F1 is greater than B1 and count it only if it is true. Then it continues to compare and count all rows: F2 to B2, F3 to B3, ... F30 to B30. For example, the value returned might be 8, which tells me that 8 players went up a level by one or more that week.
Again, I would appreciate any help I can get in writing a formula that accomplishes this count.