Pitch Quantification
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Pitch Quantification
Pitch quantification is the attempt to describe the quality of a pitch using a single numeric value based on wikt:quantifiable, quantifiable aspects of an individual pitch (baseball), baseball pitch. There are two main kinds of pitch quantification. The first is outcome oriented. This means that the result of a given pitch (i.e., Base on balls, walk, Out (baseball), out, home run, etc.) is a component used to calculate the overall numeric value that describes the quality of the pitch. The other kind of pitch quantification does not consider the outcome of a pitch when calculating quality. Rather, it is Batting (baseball), batter independent. Its quality can be assessed without regard to what the batter does with the pitch. In 2006, PITCHf/x cameras were installed in every MLB.com, MLB stadium. These cameras are able to track “velocity, movement, release point, spin, and pitch location” on every pitch thrown. When this data was released to the public, many different attempts at pi ...
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Quantifiable
Quantity or amount is a property that can exist as a multitude or magnitude, which illustrate discontinuity and continuity. Quantities can be compared in terms of "more", "less", or "equal", or by assigning a numerical value multiple of a unit of measurement. Mass, time, distance, heat, and angle are among the familiar examples of quantitative properties. Quantity is among the basic classes of things along with quality, substance, change, and relation. Some quantities are such by their inner nature (as number), while others function as states (properties, dimensions, attributes) of things such as heavy and light, long and short, broad and narrow, small and great, or much and little. Under the name of multitude comes what is discontinuous and discrete and divisible ultimately into indivisibles, such as: ''army, fleet, flock, government, company, party, people, mess (military), chorus, crowd'', and ''number''; all which are cases of collective nouns. Under the name of magnitu ...
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Single (baseball)
In baseball, a single is the most common type of base hit, accomplished through the act of a batter safely reaching first base by hitting a fair ball (thus becoming a runner) and getting to first base before a fielder puts him out. As an exception, a batter-runner reaching first base safely is not credited with a single when an infielder attempts to put out another runner on the first play; this is one type of a fielder's choice. Also, a batter-runner reaching first base on a play due to a fielder's error trying to put him out at first base or another runner out (as a fielder's choice) is not credited with a single. On a single hit to the outfield, any runners on second base or third base normally score, and sometimes the runner from first base is able to advance to third base. Depending on the location of the hit, a quick recovery by the outfielder can prevent such an advance or create a play on the advancing runner. Hitters who focus on hitting singles rather than dou ...
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Scout (sport)
In professional sports, scouts are experienced talent evaluators who travel extensively for the purposes of watching athletes play their chosen sports and determining whether their set of skills and talents represent what is needed by the scout's organization. Some scouts are interested primarily in the selection of ''prospects'', younger players who may require further development by the acquiring team but who are judged to be worthy of that effort and expense for the potential future payoff that it could bring, while others concentrate on players who are already polished professionals whose rights may be available soon, either through free agency or trading, and who are seen as filling a team's specific need at a certain position. ''Advance scouts'' watch the teams that their teams are going to play in order to help determine strategy. Many scouts are former coaches or retired players, while others have made a career just of being scouts. Skilled scouts who help to determi ...
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Strike Zone
In baseball, the strike zone is the volume of space through which a pitch must pass in order to be called a strike even if the batter does not swing. The strike zone is defined as the volume of space above home plate and between the batter's knees and the midpoint of their torso. Whether a pitch passes through the zone is decided by an umpire, who is generally positioned behind the catcher. Strikes are desirable for the pitcher and the fielding team, as three strikes result in a strikeout of that batter. A pitch that misses the strike zone is called a ball if the batter doesn't swing. Balls are desirable for the batter and the batting team, as four balls allow the batter to take a "walk" to first base as a base on balls. Definition The strike zone is a volume of space, a vertical right pentagonal prism. Its sides are vertical planes extending up from the edges of home plate. In Major League Baseball, the top of the strike zone is the midpoint between the top of the batter' ...
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Linear Regression
In statistics, linear regression is a linear approach for modelling the relationship between a scalar response and one or more explanatory variables (also known as dependent and independent variables). The case of one explanatory variable is called '' simple linear regression''; for more than one, the process is called multiple linear regression. This term is distinct from multivariate linear regression, where multiple correlated dependent variables are predicted, rather than a single scalar variable. In linear regression, the relationships are modeled using linear predictor functions whose unknown model parameters are estimated from the data. Such models are called linear models. Most commonly, the conditional mean of the response given the values of the explanatory variables (or predictors) is assumed to be an affine function of those values; less commonly, the conditional median or some other quantile is used. Like all forms of regression analysis, linear regression focuse ...
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Median
In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value. The basic feature of the median in describing data compared to the mean (often simply described as the "average") is that it is not skewed by a small proportion of extremely large or small values, and therefore provides a better representation of a "typical" value. Median income, for example, may be a better way to suggest what a "typical" income is, because income distribution can be very skewed. The median is of central importance in robust statistics, as it is the most resistant statistic, having a breakdown point of 50%: so long as no more than half the data are contaminated, the median is not an arbitrarily large or small result. Finite data set of numbers The median of a finite list of numbers is the "middle" number, when those numbers are ...
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Mean
There are several kinds of mean in mathematics, especially in statistics. Each mean serves to summarize a given group of data, often to better understand the overall value (magnitude and sign) of a given data set. For a data set, the '' arithmetic mean'', also known as "arithmetic average", is a measure of central tendency of a finite set of numbers: specifically, the sum of the values divided by the number of values. The arithmetic mean of a set of numbers ''x''1, ''x''2, ..., x''n'' is typically denoted using an overhead bar, \bar. If the data set were based on a series of observations obtained by sampling from a statistical population, the arithmetic mean is the ''sample mean'' (\bar) to distinguish it from the mean, or expected value, of the underlying distribution, the ''population mean'' (denoted \mu or \mu_x).Underhill, L.G.; Bradfield d. (1998) ''Introstat'', Juta and Company Ltd.p. 181/ref> Outside probability and statistics, a wide range of other notions of mean ...
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Major League Baseball
Major League Baseball (MLB) is a professional baseball organization and the oldest major professional sports league in the world. MLB is composed of 30 total teams, divided equally between the National League (NL) and the American League (AL), with 29 in the United States and 1 in Canada. The NL and AL were formed in 1876 and 1901, respectively. Beginning in 1903, the two leagues signed the National Agreement and cooperated but remained legally separate entities until 2000, when they merged into a single organization led by the Commissioner of Baseball. MLB is headquartered in Midtown Manhattan. It is also included as one of the major professional sports leagues in the United States and Canada. Baseball's first all-professional team, the Cincinnati Red Stockings, was founded in 1869. Before that, some teams had secretly paid certain players. The first few decades of professional baseball were characterized by rivalries between leagues and by players who often jumped from one t ...
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Trajectory
A trajectory or flight path is the path that an object with mass in motion follows through space as a function of time. In classical mechanics, a trajectory is defined by Hamiltonian mechanics via canonical coordinates; hence, a complete trajectory is defined by position and momentum, simultaneously. The mass might be a projectile or a satellite. For example, it can be an orbit — the path of a planet, asteroid, or comet as it travels around a central mass. In control theory, a trajectory is a time-ordered set of states of a dynamical system (see e.g. Poincaré map). In discrete mathematics, a trajectory is a sequence (f^k(x))_ of values calculated by the iterated application of a mapping f to an element x of its source. Physics of trajectories A familiar example of a trajectory is the path of a projectile, such as a thrown ball or rock. In a significantly simplified model, the object moves only under the influence of a uniform gravitational force field. This ca ...
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Baseball Pitches
In baseball, the pitch is the act of throwing the baseball toward home plate to start a play. The term comes from the Knickerbocker Rules. Originally, the ball had to be thrown underhand, much like "pitching in horseshoes". Overhand pitching was not allowed in baseball until 1884. The biomechanics of pitching have been studied extensively. The phases of pitching include the windup, early cocking, late cocking, early acceleration, late acceleration, deceleration, and follow-through. Pitchers throw a variety of pitches, each of which has a slightly different velocity, trajectory, movement, hand position, wrist position and/or arm angle. These variations are introduced to confuse the batter and ultimately aid the defensive team in getting the batter or baserunners out. To obtain variety, and therefore enhance defensive baseball strategy, the pitcher manipulates the grip on the ball at the point of release. Variations in the grip cause the seams to catch the air differently, ...
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Run Batted In
A run batted in (RBI; plural RBIs ) is a statistic in baseball and softball that credits a batter for making a play that allows a run to be scored (except in certain situations such as when an error is made on the play). For example, if the batter bats a base hit which allows a teammate on a higher base to reach home and so score a run, then the batter gets credited with an RBI. Before the 1920 Major League Baseball season, runs batted in were not an official baseball statistic. Nevertheless, the RBI statistic was tabulated—unofficially—from 1907 through 1919 by baseball writer Ernie Lanigan, according to the Society for American Baseball Research. Common nicknames for an RBI include "ribby" (or "ribbie"), "rib", and "ribeye". The plural of "RBI" is a matter of "(very) minor controversy" for baseball fans:; it is usually "RBIs", in accordance with the usual practice for pluralizing initialisms in English; however, some sources use "RBI" as the plural, on the basis tha ...
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