In: Statistics and Probability
b) In the following examples, identify the response variable and the explanatory variables illustrating their levels of measuremsnt
i) Marital status (married, single, divorced, widowed), Quality of life (excellent, good, fair, poor).
ii) presence of a disease( Presnet, Absent) , gender ( male, Female),
i) Here, two variables are Marital status and Quality of life. We know, the quality of life is may depend on marital status but marital status can not depend on the quality of life. Therefore, quality of life depends on the marital status.
Conclusion: Marital status is an explanatory variable and quality of life is a response variable.
Here, Marital status has 4 levels of measurement, viz. married, single, divorced and widowed.
Quality of life has 4 levels of measurements, viz. excellent, good, fair and poor.
ii) Here, two variables are presence of disease and gender. We know, presence or absence of disease is may depend on gender but gender can not depend on the presence of disease. Therefore, presence of disease is depends on the gender.
Conclusion: Gender is an explanatory variable and presence of disease is a response variable.
Here, Gender has levels of measurement, viz. male or female.
Presence of disease has 2 levels of measurements, viz. Absent or present.