sql server - How to select a max row for each group in SQL

Question

I want select countries with maximum value of 'Value' for a 'grpid'. Also already selected 'Country' should not be considered for other 'grpid' while checking the maximum. ( ie Country or grpid should not be repeated in the result )

SQL Fiddle

Result:

Country    grpid        Value           Row_number

US        49707        604456458         1
GB        5086         497654945         4 
CA        909          353500201         10
JP        231          198291290         15

Answer 1

try this query instead,

  WITH OrderedOrders AS
  (
     SELECT country,grpid,value,ROW_NUMBER() OVER(PARTITION BY country ORDER BY   country,value DESC) AS 'RowNumber' 
     FROM test1
  ) 
 select * from  OrderedOrders
 where RowNumber =1