Bayesian analysis is somewhat controversial because the validity of the result depends on how valid the prior distribution is, and this cannot be assessed statistically.
Every global warming model, and analysis, I have been exposed to in personal research for not only myself but for college papers I have had to write over the past two years, indicates that Bayesian Analysis is the approach used to “prove” Man Caused Global Warming.
1st It is important to note that temperature measurements which include C02 have only been going on for the past 40 – 50 years depending on who you ask.
Next we have only been documenting temperatures for approximately 170 years.
Considering the earth is estimated at 4.5 billion years old, this is too small of a statistical sample to come to any conclusion, unless you use Bayesian Analysis.
Now to explain how this form of analysis works I will give a layman’s approach to this.
Theory:
Water boils in 10 minutes.
Experiment 1:
Place 1 gallon of water in standard stainless steel pot.
Turn on burner, and time until water boils, when water boils look at your clock.
Result: 5 minutes.
Ignore Experiment, decrease heat on the burner, and time:
Result: 10 minutes.
Theory Proven.

Next someone says what if you use 5 gallons and a copper pot.
Theory:
Water boils in 10 minutes.
Experiment 2: Place 5 Gallons of water in copper pot on stove.
Turn on burner time and wait. Result 20 minutes.
Ignore result, increase heat to max and re-time.
Result Water boils in 10 minutes.
Theory proven.
THIS IS GLOBAL WARMING SCIENCE!!!!