Generation of a linear trend that starts in a given period

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

Usage

linear_trend(j, lambda, sample_size)

j: Time points for which the trend should be generated.
lambda: Strength of time trend.
sample_size: Vector of dimension 2, indicating sample size in the trial period until the time trend starts and the remaining sample size.

Time trend for time points j.

The time trend is generated according to the function \(f(j) = \lambda \cdot \frac{j-1}{N-1}\), where \(N\) is the total sample size.

Marta Bofill Roig, Pavla Krotka