can we show the google analytic Dashboard object in own website by using PHP and API or oauth?
You cant embedded the true Google analytics website in your site there would be no way to login. However you could create your own version of it.
You can use the Google Analytics API and the php client library to create your own dashboard. I have seen it done well using charts and graphs
An alternative would be the Embeded API this is javascript based though and only works with the core reporting api V3. It also does not support service accounts.