seasonal_trend: Generation of a seasonal trend
In pavlakrotka/NCC: Simulation and Analysis of Platform Trials with Non-Concurrent Controls

seasonal_trend

R Documentation

Generation of a seasonal trend

Description

This function generates a time trend for given time points in the trial according to a periodic function.

Usage

seasonal_trend(j, lambda, n_wave, n_total, trend_mean, trend_var)

Arguments

`j`	Time points for which the trend should be generated.
`lambda`	Strength of time trend.
`n_wave`	How many cycles (waves) should the time trend have (`\psi`).
`n_total`	Total sample size in the trial.
`trend_mean`	Integer. In case of random time trends, the strength of the time trend will be generated from N(`trend_mean`, `trend_var`).
`trend_var`	Integer. In case of random time trends, the strength of the time trend will be generated from N(`trend_mean`, `trend_var`).

Details

The time trend is generated according to the function f(j) = \lambda \cdot \mathrm{sin} \big( \psi \cdot 2\pi \cdot \frac{j-1}{N-1} \big), where N is the total sample size (parameter n_total) and the parameter \psi corresponds to the input parameter n_wave.