Saturday, June 17, 2006

 

Probability/statistics terminology

(These are from the lectures of my undergrad mentor, Dr. Meyer.)

Terms from Statistics

1. Variable-a characteristic of an object or individual.

(a) Political affiliation of a registered voter.
(b) Weight of a certain type of package ready to be shipped.

2. Experimental Unit- an object or individual on which a variable is observed. (Observations are called measurements or data.)

(a) Each registered voter
(b) Each such package

3. Population-the group or collection of all possible observations.

(a) The collection of political affiliations of every registered voter.
(b) All weights that are conceivably possible for such packages.

4. Sample-subgroup of the population.

(a) Political affiliations of a selected group of registered voters.
(b) Weights of a selected group of such packages.

5. Univariate data-result of measuring one variable on a single experimental unit.

(a) Political affiliation of a single voter.
(b) Weight of one single such package.

6. Bivariate data-result from observing two variables on a single experimental unit.

(a) Political affiliation and gender of a registered voter.
(b) Weight and volume of a certain type of package ready to be shipped.

7. Multivariate data-results from observing two or more variables on a single experimental unit.

(a) Political affiliation, gender, and age of a registered voter.
(b) Weight, length, width, and height of a certain type of package.

Terms from Probability

1. Experiment-an unambiguous, repeatable process by which an observation (measurement, datum) is obtained.

(a) Process of selecting a registered voter.
(b) Process of selecting a package.

2. Sample space-set of all possible distinct observations.

For the roll of a six-sided die, S = {1,2,3,4,5,6}

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