There is no mention of baptism in this verse, and indeed I don't know how much more plainly the Apostle Paul can state it.
Thank you for your conversation. God bless.
If you will look at the entire passage, you will see that after Paul said this, he and Silas started speaking the word of the Lord to them. And the "same hour of the night" the jailer "was baptized, he and all his, straightway".(Acts 16:32-33)
There is no mention of repentance or confession, but this is obviously necessary for salvation. Paul told them to believe, and immediately after the Gospel was preached to them, they were baptized. If baptism was not necessary for salvation, why the hurry? Belief here is obviously more than just belief that Jesus was the Son of God. In today's world, baptism is often put off until a certain time, but in the 1st Century church, it took place immediately.