Sentence examples for empirical proportion from inspiring English sources

Suppose, for example, that the proportion p of red balls in an urn is unknown and is to be estimated by the empirical proportion of red balls in a sample of size n drawn from the urn with replacement.

Then E Xk) = r/(r + b), and the last equation says that the probability that "the difference between the empirical proportion of red balls in n draws and the probability of red on a single draw is less than ε" converges to 1 as n becomes infinitely large.

For the special case of the binomial distribution, one can again use the inequality σ2 = p(1 − p) ≤ 1/4 and now conclude that about 1,100 balls must be drawn from the urn in order that the empirical proportion of red balls drawn will be within 0.03 of the true proportion of red balls with probability about 0.95.

For each SPL score, the empirical proportion of candidate genes of positive selection was calculated.

The projected smoothed CD4+ cell counts after acute infection were used to estimate as the empirical proportion of individuals entering CD4+ cell count category upon seroconversion.

For each SPL score, the empirical proportion of the coselected genes was ranked against those of the permutations to obtain the empirical P-value.

The P-values of the intervals were calculated by ranking the empirical proportions against the random sampling.

Sensitivities were estimated by evaluating the empirical proportions of true active cases (| RMAX| ≥ 25%) assigned as active (ACTIVE*[±1] or ACTIVE*[±2]).

We counted the clinical symptoms/signs and calculated the corresponding empirical proportions with 95% confidence intervals (CIs) to evaluate the overall symptom load.

Empirical proportions of clinical presentation were used to assess patterns, for each pair of strains, with logistic regression to evaluate differences in symptom expression.

The empirical proportions of coselected genes were normalized to obtain Z-scores by 10,000 permutations to test the enrichment of coselected genes within each SPL bin.