How do I use PowerShell to Validate XML files against an XSD?

I want to comment that the script in current accepted answer doesn’t validate errors about incorrect orders of elements of xs:sequence. For example:
test.xml

<addresses xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
       xsi:noNamespaceSchemaLocation='test.xsd'>
  <address>
    <street>Baker street 5</street>
    <name>Joe Tester</name>
  </address>
</addresses>

test.xsd

<xs:schema xmlns:xs="http://www.w3.org/2001/XMLSchema">    
<xs:element name="addresses">
      <xs:complexType>
       <xs:sequence>
         <xs:element ref="address" minOccurs="1" maxOccurs="unbounded"/>
       </xs:sequence>
     </xs:complexType>
    </xs:element>

     <xs:element name="address">
      <xs:complexType>
       <xs:sequence>
         <xs:element ref="name" minOccurs="0" maxOccurs="1"/>
         <xs:element ref="street" minOccurs="0" maxOccurs="1"/>
       </xs:sequence>
      </xs:complexType>
     </xs:element>

     <xs:element name="name" type="xs:string"/>
     <xs:element name="street" type="xs:string"/>
    </xs:schema>

I wrote another version that can report this error:

function Test-XmlFile
{
    <#
    .Synopsis
        Validates an xml file against an xml schema file.
    .Example
        PS> dir *.xml | Test-XmlFile schema.xsd
    #>
    [CmdletBinding()]
    param (     
        [Parameter(Mandatory=$true)]
        [string] $SchemaFile,

        [Parameter(ValueFromPipeline=$true, Mandatory=$true, ValueFromPipelineByPropertyName=$true)]
        [alias('Fullname')]
        [string] $XmlFile,

        [scriptblock] $ValidationEventHandler = { Write-Error $args[1].Exception }
    )

    begin {
        $schemaReader = New-Object System.Xml.XmlTextReader $SchemaFile
        $schema = [System.Xml.Schema.XmlSchema]::Read($schemaReader, $ValidationEventHandler)
    }

    process {
        $ret = $true
        try {
            $xml = New-Object System.Xml.XmlDocument
            $xml.Schemas.Add($schema) | Out-Null
            $xml.Load($XmlFile)
            $xml.Validate({
                    throw ([PsCustomObject] @{
                        SchemaFile = $SchemaFile
                        XmlFile = $XmlFile
                        Exception = $args[1].Exception
                    })
                })
        } catch {
            Write-Error $_
            $ret = $false
        }
        $ret
    }

    end {
        $schemaReader.Close()
    }
}

PS C:\temp\lab-xml-validation> dir test.xml | Test-XmlFile test.xsd

System.Xml.Schema.XmlSchemaValidationException: The element 'address' has invalid child element 'name'.
...