Lagged Quotients

Returns suitably lagged and iterated quotients

Quot(x, lag = 1, quotients = 1, ...)

Arguments

x

a numeric vector or matrix containing the values to be used for calculating the quotients.

lag

an integer indicating which lag to use.

quotients

an integer indicating the order of the quotient.

...

further arguments to be passed to or from methods.

Details

NA's propagate.

Value

If x is a vector of length n and quotients = 1, then the computed result is equal to the successive quotients

x[(1+lag):n] - x[1:(n-lag)].

If quotients is larger than one this algorithm is applied recursively to x. Note that the returned value is a vector which is shorter than

x.

If x is a matrix then the division operations are carried out on each column separately.

References

Becker, R. A., Chambers, J. M. and Wilks, A. R. (1988) The New S Language. Wadsworth & Brooks/Cole.

See also

diff

Examples

Quot(1:10, 2)
#> [1] 3.000000 2.000000 1.666667 1.500000 1.400000 1.333333 1.285714 1.250000
Quot(1:10, 2, 2)
#> [1] 0.5555556 0.7500000 0.8400000 0.8888889 0.9183673 0.9375000
x <- cumprod(cumprod(1:10))
Quot(x, lag = 2)
#> [1]            12           144          2880         86400       3628800
#> [6]     203212800   14631321600 1316818944000
Quot(x, quotients = 2)
#> [1]  3  4  5  6  7  8  9 10