Confidence Interval Coverage Binomial

Mācību komponents, kas ilustrē binomiālā sadalījuma vidējā lieluma ticamības intervālu aptvērumu.

Iespējas

• intro | (node|string): aizstāj noklusējuma (interaktīvo) ievadtekstu.. Default: none.
• quartileNotation | boolean: kontrolē, vai ievadtekstā izmantot kvartiļu apzīmējumu.. Default: true.
• sampleStats | boolean: kontrolē, vai, aprēķinot standartkļūdu, var pārslēgties starp izlases proporcijas vai zināmās populācijas veiksmes varbūtības izmantošanu.. Default: true.

Piemēri

Tiešraides redaktors

<LearnConfidenceCoverageBinomial />

<LearnConfidenceCoverageBinomial />

Rezultāts

Confidence Interval Coverage for Sample Proportion

Now we will switch to asking a Yes/No question about a population. We are interested in estimating the true population proportion of "Yes" answers (for example, what proportion of the population has blue eyes?). We can take a sample of size , find how many observations in our sample are a "Yes" (X), and then estimate the true proportion with . Then . Our confidence interval is then .

For our choice of sample size (n), true proportion , and confidence level, we will simulate different samples from our normal distribution and calculate the corresponding sample proportions and confidence intervals.

Change parameters

Sample size (n):

True proportion (p):

Confidence level:
0.010.99

Confidence Intervals

Of the 20 confidence intervals, 20 capture the true proportion (coverage: 1).