cosinor_goodness_of_fit {card}

Goodness of Fit of Cosinor

Description

Goodness of fit of a cosinor from data that has multiple collections at different timepoints or from multiple cycles. The RSS is partitioned into pure error (SSPE) and lack of fit (SSLOF). An F-test compares the SSPE and SSLOF to detect appropriateness of model.

SSLOF = RSS - SSPE

SSPE = \sum_{i} \sum_{l} ( Y_{il} - \overline{Y}_{i} )^2

The fitted values for each time point are:

\overline{Y}_{i} = \frac{ \sum_{l} Y_{il} }{ n_{i}}

Usage

cosinor_goodness_of_fit(object, level = 0.95, ...)

Arguments

object

requires cosinor model generated with card::cosinor to calculate statistics.

level

confidence level desired

...

additional parameters may be needed for extensibility

Value

f-statistic as result of goodness of fit