What is the function of diff() in R language?

In R language, the diff() function is used to calculate the difference between adjacent elements in a vector or time series.

The main function of the diff() function is as follows:

  1. Calculate the first-order difference of a vector or time series, which is the difference between each element and its adjacent element.
  2. You can calculate multi-order differences by setting the lag parameter, which is the difference between each element and its neighboring element specified by a certain number of lags.
  3. Used to remove seasonal or cyclical variations in time series, making the time series stationary.
  4. Can be used to calculate the percentage change in a time series, which is the percentage difference between each element and its neighboring element.
  5. It can be used to compute high-order differences of vectors or time series, where each element is the difference between its adjacent element specified by a certain lag order.

Here is the syntax of the diff() function:

diff(x, lag = 1, differences = 1, ...)

参数说明:
- x: 一个向量或时间序列。
- lag: 差分的滞后阶数,默认为1。
- differences: 差分的阶数,默认为1。
- ...: 其他参数。

For example, consider the vector x:

x <- c(1, 4, 6, 8, 11)

We can calculate the first-order difference using the diff() function.

diff(x)

The output will be:

[1] 3 2 2 3

This indicates that the differences between elements in the original vector are 3, 2, 2, and 3 respectively.

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