Step 1: Understand the relationship between the first pair of words.
The analogy is: "Student : Class"
A student is an individual who is a member of a 'class', which is a collective group of students. The class is the environment or collective context where students operate.
Step 2: Apply the same relationship to the second pair of words.
We need to find a word that represents the collective group or context in which a 'player' participates or is a part of.
Let's examine the options:
- (1) Coach: A coach trains a player, but a player is not a part of a coach. This represents a trainer-trainee relationship.
- (2) Stadium: A stadium is a venue where a player plays. This represents a person-place relationship.
- (3) Play: 'Play' refers to the act of playing or a theatrical performance. While a player performs 'play', it does not represent the collective entity they belong to in the same way a class is a group of students.
- (4) Match: A 'match' (or game) is an event where a team of players competes. A player is an individual who participates in a 'match' (as part of a team). The 'match' is the collective event or context that encompasses the activities of the players. Just as a student is part of a class, a player is part of a match (by being part of a team that plays in a match).
The most fitting analogy is that a player is an individual who participates in a 'match', just as a student is an individual who participates in a 'class'.
The final answer is $\boxed{\text{(4)}}$.