Credence (statistics)

Credence or degree of belief is a statistical term that expresses how much a person believes that a proposition is true. As an example, a reasonable person will believe with 50% credence that a fair coin will land on heads the next time it is flipped. If the prize for correctly predicting the coin flip is $100, then a reasonable risk-neutral person will wager$49 on heads, but they will not wager $51 on heads. Credence is a measure of belief strength, expressed as a percentage. Credence values range from 0If a bag contains 4 red marbles and 1 blue marble, and a person withdraws one marble at random, then they should believe with 80Credence values can be based entirely on subjective feelings. For example, if Alice is fairly certain that she saw Bob at the grocery store on Monday, then she might say, "I believe with 90$100, then Alice will wager $89 that her memory is accurate, but she would not be willing to wager$91 or more. Given that Alice is 90% credent, this level of belief can be expressed as gambling odds in the following ways: 90% credence 1 / 9 fractional odds (1 to 9) 1.11 decimal odds −900 moneyline odds The return on a $100 wager is$11.11 (plus the $100 initial wager). See the article odds for conversion equations.