Run Expectancy and Value Calculation

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Questions and Answers

What is the first step in calculating run expectancy based on the data frame from 2018?

  • Group by the number of outs
  • Calculate the mean number of runs scored from any given event (correct)
  • Create a list of all possible starting states
  • Calculate the total number of runs scored

What does the variable 'runs future' represent in the data set?

  • Runs expected from the next game
  • Total runs scored in a season
  • Runs scored from the beginning of the event to the end of the inning (correct)
  • Projected runs for the next inning

In the state with no runners on base and one out, what is the run expectancy?

  • 1.00
  • 0.10
  • 0.49
  • 0.26 (correct)

What is the run expectancy when there are two outs and no runners on base?

<p>0.10 (D)</p> Signup and view all the answers

What state has a run expectancy of just over one run?

<p>Runner on third and one out (B)</p> Signup and view all the answers

What does the run expectancy matrix provide?

<p>Expected number of runs for various game states (A)</p> Signup and view all the answers

How does run expectancy change with increasing outs?

<p>It generally decreases (A)</p> Signup and view all the answers

What is done after calculating the list of run expectancies for each possible starting state?

<p>It is merged into the original data set (A)</p> Signup and view all the answers

What is a run value defined as in this context?

<p>Runs scored plus the run expectancy at the end minus the run expectancy at the start (B)</p> Signup and view all the answers

In the first example provided, what event is suggested to have occurred?

<p>A home run (D)</p> Signup and view all the answers

What was the increase in run expectancy when the batter reached first base with no outs?

<p>0.38 (C)</p> Signup and view all the answers

What role does run expectancy play in measuring batting events?

<p>It provides a context to assess the impact of different events based on outs and base state. (C)</p> Signup and view all the answers

What conclusion can be drawn from the example where the batter got a hit to first base?

<p>The increase in run expectancy is a measurable contribution to the game's outcome. (B)</p> Signup and view all the answers

What does runs value represent?

<p>The sum of runs scored on an event and the difference in run expectancy. (B)</p> Signup and view all the answers

What happens when there are three outs in an inning?

<p>The inning finishes and the run expectancy becomes zero. (B)</p> Signup and view all the answers

Why is it necessary to create a state for three outs?

<p>To represent an ending state that doesn't exist at the start of an event. (A)</p> Signup and view all the answers

How do start and end run expectancy matrices compare?

<p>They are the same except for the addition of three out states at the end. (B)</p> Signup and view all the answers

What is run expectancy at the beginning of an event based on?

<p>Specific game conditions and states. (C)</p> Signup and view all the answers

What must be added to calculate the end run expectancy?

<p>An additional state for three outs. (C)</p> Signup and view all the answers

What does adding an extra state for three outs enable?

<p>It allows the inclusion of a scenario that can only occur after an event. (D)</p> Signup and view all the answers

What is the run expectancy when there are three outs?

<p>It is zero because the inning has ended. (C)</p> Signup and view all the answers

What happens to run expectancy when a runner on third base scores?

<p>Run expectancy decreases due to the runner being gone. (C)</p> Signup and view all the answers

What does the end run expectancy matrix include that the start run expectancy does not?

<p>Extra states where there are three outs. (A)</p> Signup and view all the answers

Why does run expectancy change based on the events occurring in a game?

<p>Because it depends on how many outs and runners are on base. (B)</p> Signup and view all the answers

What is the run expectancy at the start and end of the first event if there are no outs and no one on base?

<p>0 at both the start and end. (B)</p> Signup and view all the answers

In merging the end run expectancy with the main data set, which state is used for the merge?

<p>End state. (D)</p> Signup and view all the answers

How does run expectancy change if a player is put out?

<p>Run expectancy decreases. (B)</p> Signup and view all the answers

What is the likely run expectancy when there are no outs and a runner is on first base?

<p>0.887. (D)</p> Signup and view all the answers

What value does the end run expectancy matrix retain from the start run expectancy?

<p>The first 24 rows. (B)</p> Signup and view all the answers

Flashcards

Run Expectancy

The average number of runs expected to be scored from a given state (runners on base and outs) to the end of the inning.

Starting State

A grouping of baseball events based on the number of outs and runners on base. For example, 'Runners on 1st and 2nd, 2 outs' is a specific state.

Runs Future

The number of runs scored from the start of the event (pitch, at bat, etc.) to the end of the inning.

Run Expectancy Matrix

A statistical table or matrix that displays run expectancy values for every possible starting state in a baseball game.

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Merging Run Expectancy

A process of combining a table of run expectancies with a dataset containing baseball events. This adds run expectancy information to each event.

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Runner on Third, One Out

The average number of runs scored when a runner is on third base and there is one out, indicating a high likelihood of scoring at least one run.

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Calculating Run Expectancy from Data

Using a dataset from 2018, calculate the average number of runs scored for each starting state.

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Understanding Run Expectancy

Run expectancy values provide insight into the scoring dynamics of a baseball game, allowing you to understand the potential for runs based on the game state.

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End State

The state at the end of an event in baseball, which includes the number of outs and base runners after the event.

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Runs Value

The total number of runs generated by an event, including both runs scored and the difference in run expectancy between the start and end of the event.

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Run Expectancy with Three Outs

The number of runs that can be expected to be scored in a situation where there are three outs and the inning is over.

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End Run Expectancy

A collection of all possible scenarios that could happen at the end of an event, considering all possible base states and the fact that the inning can end with three outs.

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Combining Start and End Run Expectancy

The process of combining the start run expectancy with the end run expectancy to calculate runs value.

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Adding the Three-Out State

The addition of the three-out state to the end run expectancy matrix, which is necessary to calculate the run expectancy at the end of each event.

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No Change Event

An event that results in no change in the base state (runners) and outs.

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Empty Bases, No Outs

The state with no runners on base and no outs.

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Increase in Run Expectancy

The increase in run expectancy from the start of an event to the end of the event. This happens even if no runs were scored, because a good play can increase future scoring potential.

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Start Run Expectancy

The run expectancy at the start of an event, e.g., the beginning of a pitch.

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Runner on Third Base

Runner on third base has a high probability of scoring a run.

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Runner Scoring

When a runner scores, they don't exist on base anymore.

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Run Expectancy Decreases

The expected run value decreases because the runner on third has scored.

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Three Outs

A situation with three outs means the inning ends.

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Study Notes

Run Expectancy Calculation

  • Run expectancy (RE) is calculated based on data from 2018.
  • Mean number of runs scored in an inning is calculated for each event.
  • Code groups events by starting state (runners on base, outs).
  • Run expectancy is calculated for each possible starting state.
  • Example: 0 runners on base, no outs: RE = 0.49 (average of runs scored in that state).
  • Example: 1 out, no runners: RE = 0.26.
  • RE decreases as the number of outs increases.
  • Starting state with runner on 3rd, 1 out: RE ≈ 1.0.
  • RE values are calculated for each starting state.

Run Expectancy Matrix

  • The run expectancy matrix is a table of RE values for various base states.
  • Each row represents a specific configuration of runners and outs (starting state).
  • Values represent average runs expected for each starting state.
  • Values change depending on the number of outs and the number of runners on base.

Run Value Calculation

  • Run value (RV) measures the contribution of an event.
  • RV = Runs scored + (End RE - Start RE)
  • Start RE is the RE at the event start.
  • End RE is the RE at the event end.
  • An event ending with 3 outs and no runs scored, has a RV of zero.
  • The run value calculation considers the change in RE during an event.

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