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Confidence Interval Coverage Binomial

En læringskomponent, der illustrerer dækning af konfidensintervaller for middelværdien af en binomialfordeling.

Indstillinger

  • intro | (node|string): tilsidesætter standard (interaktiv) introtekst. Default: none.
  • quartileNotation | boolean: styrer, om der skal anvendes kvartilnotation i introtekst. Default: true.
  • sampleStats | boolean: kontrollerer, om man skal kunne skifte mellem at anvende stikprøveandelen eller den kendte sandsynlighed for succes i populationen ved beregning af standardfejlen. Default: true.

Eksempler

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Resultat

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


0.010.99

Confidence Intervals

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Of the 20 confidence intervals, 18 capture the true proportion (coverage: 0.9).