Binomial proportion confidence interval estimates success probability
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Binomial proportion confidence interval estimates success probability
A binomial proportion confidence interval provides an interval estimate for the probability of success in Bernoulli trials. These intervals are calculated using the number of experiments and successes observed.
Example
If 50 trials are conducted and 20 successes are observed, the confidence interval can be calculated to estimate the true success probability.
Understanding binomial proportion confidence intervals helps in making informed decisions based on sample data.
P-value
A p-value < 0.05 means: if Hâ‚€ is true, this result has <5% probability
Top-k vs top-p sampling: top-k fixes candidate count, top-p fixes cumulative probability mass
Top-k sampling fixes candidate count; top-p sampling fixes cumulative probability mass
expected calibration error (ECE) measures: gap between confidence and accuracy
Expected Calibration Error (ECE) measures the gap between predicted confidence levels and actual accuracy
Logistic regression
Logistic regression probability formula: P(Y=1) = 1 / (1 + exp(-z))
Brier score
Brier score measures mean squared error of probability predictions
Bayes' theorem
Bayes' theorem formula: P(A|B) = [P(B|A) * P(A)] / P(B)
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