# Test if two objects are nearly equal in R

Test if two objects are nearly equal in R, Learn how to use them all.equal function to determine whether two items are nearly equal in this R programming tutorial.

This is how you do it:

## Example: Test if two objects are nearly equal in R

We’ll begin with the following information for the purposes of this R programming tutorial:

```Data1<- 1:10
Data1                              ```
`[1]  1  2  3  4  5  6  7  8  9 10`
```Data2 <- 1:10
Data2 ```
`[1]  1  2  3  4  5  6  7  8  9 10`
```set.seed(123)
Data3 <- 1:10 + rnorm(10, 0, 0.1)
Data3                              ```
`[1] 0.9439524 1.9769823 3.1558708 4.0070508 5.0129288 6.1715065 7.0460916 7.8734939 8.9313147 9.9554338`

Check out the RStudio console’s past outputs. It displays the information in the three example vectors. The vector Data2 differs somewhat from the vectors Data1 and Data2, which are identical.

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Let’s use the all.equal method to compare these vectors!

### Example 1: The Function all.equal() in Basic Application

The all.equal function can be used with default parameters by following the R programming code.

To do this, we just need to tell the all.equal method which two data items we want to compare:

```all.equal(Data1, Data2)
[1] TRUE```

The RStudio console gave a TRUE response, indicating that the vector objects Data1 and Data2 are the same.

Next, let’s use the vector objects Data1 and Data3 to apply the all.equal function:

```all.equal(Data1, Data3)
[1] "Mean relative difference: 0.01295039"```

The average relative difference between our two vector objects, or 0.01295039, was returned by all.equal function.

In other words, Data1 and Data2 are not the same vector objects.

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### Example 2: The Function all.equal() in Basic Application

The all.equal function’s ability to allow the user to select a tolerance level is a useful feature. The all.equal function does not report differences below this tolerance.

We define a tolerance of 0.1 in the R code below:

```all.equal(Data1, Data2, tolerance = 0.1)
[1] TRUE```

As you can see, even though our two vectors are somewhat different, all.equal method has returned TRUE.