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  2. Probability of success - Wikipedia

    en.wikipedia.org/wiki/Probability_of_success

    The probability of success (POS) is a statistics concept commonly used in the pharmaceutical industry including by health authorities to support decision making. The probability of success is a concept closely related to conditional power and predictive power .

  3. Binomial proportion confidence interval - Wikipedia

    en.wikipedia.org/wiki/Binomial_proportion...

    The probability density function (PDF) for the Wilson score interval, plus PDF s at interval bounds. Tail areas are equal. Since the interval is derived by solving from the normal approximation to the binomial, the Wilson score interval ( , + ) has the property of being guaranteed to obtain the same result as the equivalent z-test or chi-squared test.

  4. Predictive probability of success - Wikipedia

    en.wikipedia.org/wiki/Predictive_probability_of...

    Use the newly completed dataset to calculate criteria used to calculate success which could be things like p-values, posterior probabilities, etc. This can then be used to categorized if a trial was a success or not. These three steps then get repeated a total of n number of times. The PPOS is determined by getting the proportion of trials that ...

  5. Binomial distribution - Wikipedia

    en.wikipedia.org/wiki/Binomial_distribution

    In probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a sequence of n independent experiments, each asking a yes–no question, and each with its own Boolean-valued outcome: success (with probability p) or failure (with probability q = 1 − p).

  6. Likelihood principle - Wikipedia

    en.wikipedia.org/wiki/Likelihood_principle

    Suppose is the number of successes in twelve independent Bernoulli trials with each attempt having probability of success on each trial, and is the number of independent Bernoulli trials needed to get a total of three successes, again each attempt with probability of success on each trial (if it was a fair coin each toss would have = of either outcome, heads or tails).

  7. Geometric distribution - Wikipedia

    en.wikipedia.org/wiki/Geometric_distribution

    The geometric distribution gives the probability that the first occurrence of success requires independent trials, each with success probability . If the probability of success on each trial is p {\displaystyle p} , then the probability that the k {\displaystyle k} -th trial is the first success is

  8. Success likelihood index method - Wikipedia

    en.wikipedia.org/wiki/Success_likelihood_index...

    is assumed to exist between SLIs and HEPs. P is the probability of success and a and b are constants; a and b are calculated from the SLIs of two tasks where the HEP has already been established. Uncertainty bound analysis Uncertainty bounds can be estimated using expert judgement methods such as Absolute probability judgement (APJ).

  9. Pascal's mugging - Wikipedia

    en.wikipedia.org/wiki/Pascal's_mugging

    Pascal's mugging may also be relevant when considering low-probability, high-stakes events such as existential risk or charitable interventions with a low probability of success but extremely high rewards. Common sense seems to suggest that spending effort on too unlikely scenarios is irrational.