One way is to check whether the pre-image of the product is sigma-algebra. Please list an example to clarify your question.
Chat with our AI personalities
The measurable variable is the variable that is measured in an experiment. It changes depending on the adjustment of the independent variable.
A concept is an idea or an abstraction that stands for something. A concept becomes a variable when it is made operational or when it can be counted, categorized, or observed. For example, job satisfaction is a concept, but, it becomes a variable when a definition is it attached to it that makes it measurable. You may ask a married person, "how satisfied are you with your job?" If you attach levels of satisfaction to it, then it becomes a variable. All variables are concepts when you can measure the concept. However, not all concepts can be variables. A concept that is not a variable is a concept that is not measurable.
independent variable,depedent variable and control variable are the 3 kinds of variables.
independent variable called also predictor variables,explanatory variables,manipulated variables etc.
Dependent variables and independent variables refer to values that change in relationship to each other. The dependent variables are those that are observed to change in response to the independent variables. The independent variables are those that are deliberately manipulated to invoke a change in the dependent variables. In short, "if x is given, then y occurs", where x represents the independent variables and y represents the dependent variables. Depending on the context, independent variables are also known as predictor variables, regressors, controlled variables, manipulated variables, explanatory variables, or input variables. The dependent variable is also known as the response variable, the regressand, the measured variable, the responding variable, the explained variable, the outcome variable, the experimental variable or the output variable. This answer was coppied onto this page by tom hills of falmouth waii