# Generate an HMT population

### Description

Generate a population that follows the model in Hansen, Madow, and Tepping (1983)

### Usage

1 | ```
HMT(N=5000, H=10)
``` |

### Arguments

`N` |
population size |

`H` |
number of strata |

### Details

`HMT`

generates a population based on the model: *E(y)= α + β x*, *Var(y)=σ^2x^{3/2}*. Both *x* and *y* have gamma distributions. Strata are formed to have approximately the same total of *x*.

### Value

N x 3 matrix with columns:

`strat` |
stratum ID |

`x` |
auxiliary variable |

`y` |
analysis variable |

### Author(s)

Richard Valliant, Jill A. Dever, Frauke Kreuter

### References

Hansen,M.H., Madow,W.G., and Tepping,B.J. (1983). An evaluation of model-dependent and probability sampling inferences in sample surveys. *Journal of the American Statistical Association*, 78, 776-793.

### Examples

1 2 3 |