# Sample dataset for funreg

### Description

A data frame generated using the following code:
```
set.seed(123);
SampleFunregData <- generate.data.for.demonstration(nsub = 200,
b0.true = -5,
b1.true = 0,
b2.true = +1,
b3.true = -1,
b4.true = +1,
nobs = 400,
observe.rate = 0.1);
```

### Format

A data frame for a simulated longitudinal study, in "tall" rather than "wide" format (multiple rows per individual, one for each measurement time) with 8109 rows and 13 columns.

- id
Integer uniquely identifying the subject to whom this data row pertains.

- s1,s2,s3,s4
Four subject-level (time-invariant) covariates.

- y
A response, coded as 0 or 1, which is to be modeled using a functional regression. It is also subject-level (i.e., either time-invariant or measured only once). However, like

`s1`

through`s4`

, its value is repeated for each row of data for a subject.- time
The time variable, arbitrarily chosen to range from a low of 0 to a high of 10, which identifies when this row's observations are taken.

- true.x1,true.x2
The unknown smooth expected values of two time-varying variables which can be treated as functional covariates. They vary by subject and time and are therefore different in each row.

- true.betafn1,true.betafn2
The unknown true functional regression coefficient function used to generate

`y`

from the two time-varying predictors. The latter is always zero because x2 is unrelated to y.- x1,x2
The observed values of the two functional regression predictors, as measured for a given time on a given subject.