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Category: Terminology

08/16/14

eBA Encyclopedia Statistics Terminology: Parameter in Statistics

Permalink 22:55:41, Categories: Statistics, Terminology  

eBA Encyclopedia Statistics Terminology: Parameter

eBA Encyclopedia Statistics Terminology
In mathematics, statistics, and the mathematical sciences, parameters are quantities that define certain characteristics of systems or functions.

When evaluating the function over a domain or determining the response of the system over a period of time, the independent variables are modulated, while the parameters are held constant.
The function or system may then be reevaluated or reprocessed with different parameters, to give a function or system with different behavior.

statistical parameter


Loosely speaking, then, parameters are constants in a narrow context but are variables in a larger context.

Moreover, whether a quantity is a parameter or a variable is generally determined by its role in a particular system or function, rather than by anything intrinsic to the quantity.

In non-technical contexts or in jargon, parameter may also simply be a synonym for criterion.

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02/24/14

Basketball Encyclopedia Terminology: The Basketball Low Post

Basketball Encyclopedia Terminology:
The Basketball Low Post

Basketball Statistician's eBA Encyclopedia
"...Defending a player in the low post often means denying him the ball.
A good defender will play a post player closely and reach an arm out in front of the defender to try to deflect any passes to him.

If the ball is below the free-throw line, you should try to be between the ball and your opponent, making a lob pass over your head the only viable option.

If the lob pass is successful, you'll have a difficult time stopping your opponent from making a layup unless you get help from a teammate.
Low post defenders also need to be ready to help out a teammate if there is penetration on the other side or down the middle of the lane. ..."

Kareem Abdul-Jabbar, left, and Akeem Olajuwon were known for their great Basketball Low Post

Read more about today's post in the eBA Basketball Encyclopedia:
eBA Encyclopedia Basketball Terminology
About the Basketball Low Post ~ with Videos




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01/03/13

eBA Encyclopedia Statistics Terminology: Scatter Plot

Permalink 14:20:56, Categories: eBA Basketball System, Statistics, Terminology  

eBA Encyclopedia Statistics Terminology: Scatter Plot

eBA Encyclopedia Statistics Terminology
A scatter plot is a useful summary of a set of bi variate data (two variables), usually drawn before working out a linear correlation coefficient or fitting a regression line.

It gives a good visual picture of the relationship between the two variables, and aids the interpretation of the correlation coefficient or regression model.

Each unit contributes one point to the scatter plot, on which points are plotted but not joined.

The resulting pattern indicates the type and strength of the relationship between the two variables.

lllustrations

1. The more the points tend to cluster around a straight line, the stronger the linear relationship between the two variables (the higher the correlation).

2. If the line around which the points tends to cluster runs from lower left to upper right, the relationship between the two variables is positive (direct).

3. If the line around which the points tends to cluster runs from upper left to lower right, the relationship between the two variables is negative (inverse).

4. If there exists a random scatter of points, there is no relationship between the two variables (very low or zero correlation).

5. Very low or zero correlation could result from a non-linear relationship between the variables. If the relationship is in fact non-linear (points clustering around a curve, not a straight line), the correlation coefficient will not be a good measure of the strength.

Scatter Plot

A scatter plot will also show up a non-linear relationship between the two variables and whether or not there exist any outliers in the data.

More information can be added to a two-dimensional scatter plot - for example, we might label points with a code to indicate the level of a third variable.

If we are dealing with many variables in a data set, a way of presenting all possible scatter plots of two variables at a time is in a scatter plot matrix.







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11/10/12

eBA Encyclopedia Statistics Terminology: The Bias

Permalink 03:27:40 pm, Categories: Statistics, Statisticians & Roles, Terminology  

eBA Encyclopedia Statistics Terminology: Bias

eBA Encyclopedia Statistics Terminology
Bias is a term which refers to how far the average statistic lies from the parameter it is estimating, that is, the error which arises when estimating a quantity.

Errors from chance will cancel each other out in the long run, those from bias will not.

A statistic is biased if it is calculated in such a way that is systematically different from the population parameter of interest.

The following illustrates bias and precision, where the target value is the bulls eye:

Example
The police decide to estimate the average speed of drivers using the fast lane of the motorway and consider how it can be done. One method suggested is to tail cars using police patrol cars and record their speeds as being the same as that of the police car.

Precise Imprecise
Biased load images
Unbiased

This is likely to produce a biased result as any driver exceeding the speed limit will slow down on seeing a police car behind them. The police then decide to use an unmarked car for their investigation using a speed gun operated by a constable.

This is an unbiased method of measuring speed, but is imprecise compared to using a calibrated speedometer to take the measurement.

Read More more details about this definition and another statistical terms at our new Statistics Terminology Glossary.

'Statistics Terminology'
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