spence.15 {locfit} | R Documentation |

## Spencer's 15 point graduation rule.

### Description

Spencer's 15 point rule is a weighted moving average operation for a sequence of observations equally spaced in time. The average at time t depends on the observations at times t-7,...,t+7.

Except for boundary effects, the function will reproduce polynomials up to degree 3.

### Usage

```
spence.15(y)
```

### Arguments

`y` |
Data vector of observations at equally spaced points. |

### Value

A vector with the same length as the input vector, representing the graduated (smoothed) values.

### References

Spencer, J. (1904). On the graduation of rates of sickness and mortality. Journal of the Institute of Actuaries 38, 334-343.

### See Also

### Examples

```
data(spencer)
yy <- spence.15(spencer$mortality)
plot(spencer$age, spencer$mortality)
lines(spencer$age, yy)
```

[Package

*locfit*version 1.5-9.10 Index]