Parametric Vs Non parametric model selection for Regression and classification based on Statistical test.

PARAMETRIC MODEL

NON PARAMETRIC MODEL

Hypothesis Test Generic Conditions:

REGRESSION:

Linear dependency, slope increases, pvalue<0.05 in this case. As BMI increases diabetic severity increase
Even though means are far apart slope is inconsistent linear regression finds difficult to interpret.Non linear dependency pvalue>0.05.

CLASSIFICATION

Linear dependency maintains linear relationship as BMI increases diabetics risk increases. Slope is consistent.
It is non maintaining linear relationship slope is inconsistent, Eventhough they are statistically significant.the linear model finds struggle to model the relationship.

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