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This thesis will elucidate a longitudinal approach using intraindividual means, time-derivative values, and integration of these numbers to strengthen investigations that use linear models. This approach enhances the value of corrected responses and strengthens the quality of inference derived from independent variables upon dependent variables. Demonstration is given to several relevant examples in life sciences. There is potential that these efforts eventually contribute to biological study and the accessibility of empirical study itself.

Modeling of biological data using longitudinal intraindividual means integrated with first and second power time-derivatives