In linear regression analysis, it's an important assumption that there should be a linear relationship between independent variable and dependent variable. Whereas, logistic regression assumes there should be a linear relationship between independent variable and logit function.

**How to check non-linearity****Pearson correlation**is a measure of linear relationship. The variables must be measured at interval scales. It is sensitive to outliers. If pearson correlation coefficient of a variable is close to 0, it means there is no linear relationship between variables.**Spearman's correlation**is a measure of monotonic relationship. It can be used for ordinal variables. It is less sensitive to outliers. If spearman correlation coefficient of a variable is close to 0, it means there is no monotonic relationship between variables.

**Hoeffding’s D correlation**is a measure of linear, monotonic and

**non-monotonic relationship**. It has values between –0.5 to 1. The signs of Hoeffding coefficient has no interpretation.

If a variable has a very low rank for Spearman (coefficient - close to 0) and a very high rank for Hoeffding indicates a non-monotonic relationship.

If a variable has a very low rank for Pearson (coefficient - close to 0) and a very high rank for Hoeffding indicates a non-linear relationship.

**Criterion to eliminate irrelevant variables**

If a variable has poor rank on both the spearman and hoeffding correlation metrics, it means the relationship between the variables is random.

**SAS Macro to detect non-monotonic relationship**

This comment has been removed by the author.

ReplyDeleteSpearman correlation measures monotonic relationship. When you say a variable having high spearman rank, i am assuming it's correlation value is high or moderate. It means the association is monotonic. Hope it helps.

DeleteThanks

ReplyDeleteAdditionally, an employer can require a polygraph test if he or she has a reasonable belief that an employee is involved in gross misconduct in the workplace lie detectors

ReplyDeletePsychologists or guidance counselors in schools however are people who may have good relationships advice, especially for teenagers. what to talk with a girl

ReplyDeleteThis comment has been removed by the author.

ReplyDeleteThis comment has been removed by the author.

ReplyDeleteSheet which I have downloaded is password protected. Kindly provide password

ReplyDelete