Variable (Statistics) - Revision history

Admin: /* Random Variable */

2024-03-19T06:25:29Z

Random Variable

← Older revision		Revision as of 06:25, 19 March 2024
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	= Random Variable =		= Random Variable =
	A '''random''' variable is a numerical variable whose outcome is the result of a random process (i.e. we don't know what will happen for certain)~~. Notably, the numerical interpretation of the outcome of an [[Probability#Experiment and Events\|experiment]] is a random variable. They come in two types, deserving their own pages~~. See [[~~Continuous Random Variable]] and [[Discrete~~ Random Variable]].		A '''random''' variable is a numerical variable whose outcome is the result of a random process (i.e. we don't know what will happen for certain). See [[Random Variable]].
	[[Category:Statistics]]		[[Category:Statistics]]

Admin: /* Notation */

2024-03-19T06:16:19Z

Notation

← Older revision		Revision as of 06:16, 19 March 2024
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	It is possible for a categorical variable to be denoted with numbers; a common example would be an ID number. The biggest difference between categorical variables denoted as numbers and numerical variables is the fact that the sum/mean of categorical variables does not have meaning, whereas that of numerical variables do.		It is possible for a categorical variable to be denoted with numbers; a common example would be an ID number. The biggest difference between categorical variables denoted as numbers and numerical variables is the fact that the sum/mean of categorical variables does not have meaning, whereas that of numerical variables do.

	~~A '''random''' variable is a variable whose outcome is the result of a random process.~~

	= Notation =		= Notation =
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	A lower case character corresponding to the major is used to denote a specific value of that major (such as <math>x, y, z</math>. This is called a '''statistic'''.		A lower case character corresponding to the major is used to denote a specific value of that major (such as <math>x, y, z</math>. This is called a '''statistic'''.

			= Random Variable =
			A '''random''' variable is a numerical variable whose outcome is the result of a random process (i.e. we don't know what will happen for certain). Notably, the numerical interpretation of the outcome of an [[Probability#Experiment and Events\|experiment]] is a random variable. They come in two types, deserving their own pages. See [[Continuous Random Variable]] and [[Discrete Random Variable]].
	[[Category:Statistics]]		[[Category:Statistics]]

Rice: /* Notation */

2024-03-18T23:40:12Z

Notation

← Older revision		Revision as of 23:40, 18 March 2024
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	= Notation =		= Notation =

	A capitalized character (usually <math>X, Y, Z</math>) is used to denote ''all possible values'' of a variable. This is called a '''major'''.		A capitalized character (usually <math>X, Y, Z</math>) is used to denote ''all possible values'' of a variable. This is called a '''major'''. When we say "variable", we usually mean this.

	A lower case character corresponding to the major is used to denote a specific value of that major (such as <math>x, y, z</math>. This is called a '''statistic'''.		A lower case character corresponding to the major is used to denote a specific value of that major (such as <math>x, y, z</math>. This is called a '''statistic'''.

	[[Category:Statistics]]		[[Category:Statistics]]

Rice at 23:39, 18 March 2024

2024-03-18T23:39:34Z

← Older revision		Revision as of 23:39, 18 March 2024
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	A '''random''' variable is a variable whose outcome is the result of a random process.		A '''random''' variable is a variable whose outcome is the result of a random process.

			= Notation =

			A capitalized character (usually <math>X, Y, Z</math>) is used to denote ''all possible values'' of a variable. This is called a '''major'''.

			A lower case character corresponding to the major is used to denote a specific value of that major (such as <math>x, y, z</math>. This is called a '''statistic'''.

	[[Category:Statistics]]		[[Category:Statistics]]

Rice: Created page with "In statistics, a '''variable''' is a characteristic of a subject that varies in a ''non-random'' way. = Overview and Related Definitions = At the top level of statistics, we investigate a '''population''': a set of units that we are interested in studying. Populations are almost always impossible to study due to their massive size and other constraints. Therefore, we take a '''sample''': a subset of the population. A '''subject''' is a unit that we study in a popula..."

2024-03-18T23:33:24Z

Created page with "In statistics, a '''variable''' is a characteristic of a subject that varies in a ''non-random'' way. = Overview and Related Definitions = At the top level of statistics, we investigate a '''population''': a set of units that we are interested in studying. Populations are almost always impossible to study due to their massive size and other constraints. Therefore, we take a '''sample''': a subset of the population. A '''subject''' is a unit that we study in a popula..."

New page

In statistics, a '''variable''' is a characteristic of a subject that varies in a ''non-random'' way.

= Overview and Related Definitions =

At the top level of statistics, we investigate a '''population''': a set of units that we are interested in studying.

Populations are almost always impossible to study due to their massive size and other constraints. Therefore, we take a '''sample''': a subset of the population.

A '''subject''' is a unit that we study in a population or a sample, and a '''variable''' is a particular characteristic of the subject that we are interested in studying.

= Types of Variables =

There are two types of variables, each with two sub-categories that have useful properties:

* '''Quantitative/Numerical''' variables are measured with numbers. Their sum has meaning.
** '''Continuous''' numerical variables can theoretically take on any number within an interval, whereas
** '''Discrete''' numerical variables have natural gaps
* '''Qualitative/Categorical''' variables are measured as labels. Their sum does not have meaning.
** '''Ordinal''' categorical variables have a natural ordering, whereas
** '''Nominal''' categorical variables do not

It is possible for a categorical variable to be denoted with numbers; a common example would be an ID number. The biggest difference between categorical variables denoted as numbers and numerical variables is the fact that the sum/mean of categorical variables does not have meaning, whereas that of numerical variables do.

A '''random''' variable is a variable whose outcome is the result of a random process.

[[Category:Statistics]]