Project title

Preregistration of analyses

Analysis #1

The first hypothesis test we could conduct is if the proportion of wins during home games is different than the wins during away games. This could help us determine how the game environment for home and away games can have an impact on player’s mentality, thus affecting the win percentage of home and away games. The hypothesis would be as follows:

\[ H_0:= P(win~|~home~game) = P (win~|~away~game) \]

\[ H_A:= P(win~|~home~game) \neq P (win~|~away~game) \]

If we find sufficient evidence to reject the null hypothesis, we can then conduct a confidence interval to determine with a certain percent confidence that there is a significant difference in the proportion of home-game wins versus away-game wins. Yet, if there is a difference in the proportion of home and away wins, we would have to conduct further tests to assess whether the proportions for home or away teams is less or more.

Analysis #2

The second hypothesis test we can conduct is if the proportion of wins for playoff games is different than the proportion of wins for non-playoff games. This could help us learn if playoff games affect whether teams win or not, which could be useful in both future sports predictions and for learning about players’ mindsets.

\[ H_0:= P(win~|~playoff) = P (win~|nonplayoff) \]

\[ H_A:= P(win~|~playoff) \neq P (win~|~nonplayoff) \]

We can follow the same procedure stated above in Analysis 1. After completing both basic analyses, we may move forward and combine all 3 variables to figure out a difference in proportions between home vs. away playoff games, home vs. away non-playoff games, etc.