Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Statistical Inference (part II): The Normal and Related Distributions.

Lopes1

  • 1Department of Medicine, School of Medicine, Federal University of Bahia.

The Brazilian Journal of Infectious Diseases : an Official Publication of the Brazilian Society of Infectious Diseases
|December 5, 2000
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Cardiac abnormalities in the acquired immunodeficiency syndrome. A prospective study with a clinical-pathological correlation in twenty-one adult patients.

Arquivos brasileiros de cardiologia·2001
Same author

Statistical Inference (Part 3): Statistical Hypothesis Testing and Confidence Interval Estimation.

The Brazilian journal of infectious diseases : an official publication of the Brazilian Society of Infectious Diseases·2000
Same author

Statistical Inference (part 1): Basic Concepts.

The Brazilian journal of infectious diseases : an official publication of the Brazilian Society of Infectious Diseases·2000
Same author

Ion-pair formation observed in a pulsed-field ionization photoelectron spectroscopic study of HF

Faraday discussions·2000
Same author

Multiple short-term memories in coupled weakly nonlinear map lattices

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2000
Same author

[ [In Process Citation]

Anais da Academia Brasileira de Ciencias·2000
Same journal

Risk factors associated with invasive fungal disease post-liver transplantation.

The Brazilian journal of infectious diseases : an official publication of the Brazilian Society of Infectious Diseases·2026
Same journal

Microbiome analysis of Cystic Fibrosis sputum presents higher sensitivity than the conventional bacterial culture.

The Brazilian journal of infectious diseases : an official publication of the Brazilian Society of Infectious Diseases·2026
Same journal

Low awareness of HIV status and high proportion of recent infections among young travestis and trans women in Brazil.

The Brazilian journal of infectious diseases : an official publication of the Brazilian Society of Infectious Diseases·2026
Same journal

Rare clinical presentations of paracoccidioidomycosis: Epidemiological, clinical, and microbiological insights from a Brazilian reference center.

The Brazilian journal of infectious diseases : an official publication of the Brazilian Society of Infectious Diseases·2026
Same journal

Immunization against respiratory viruses among dental surgeons: high personal coverage, low involvement in vaccine promotion.

The Brazilian journal of infectious diseases : an official publication of the Brazilian Society of Infectious Diseases·2026
Same journal

Is candidemia mortality inevitable or a consequence of inadequate guideline adherence?

The Brazilian journal of infectious diseases : an official publication of the Brazilian Society of Infectious Diseases·2026
See all related articles

The normal distribution is crucial for statistical inference, enabling probability calculations via z-scores. When population standard deviation is unknown, the t-distribution or nonparametric methods are used for reliable statistical inference.

Area of Science:

  • Statistics
  • Probability Theory
  • Statistical Inference

Background:

  • The normal (Gaussian) distribution is fundamental to statistical inference.
  • Transforming normal distributions to z-distributions allows probability determination for various intervals.
  • Sampling distributions of population parameter estimates often follow a normal distribution.

Purpose of the Study:

  • To explain the application of normal and related distributions in statistical inference.
  • To highlight the conditions and alternatives for using normal distribution in statistical analysis.
  • To introduce the t-distribution and nonparametric methods as alternatives when assumptions are not met.

Main Methods:

  • Utilizing the z-distribution for probability calculations based on standard deviations from the mean.

Related Experiment Videos

  • Applying the t-distribution for population mean inference when population standard deviation is unknown.
  • Employing normal approximation to the binomial distribution under specific assumptions.
  • Considering distribution-free (nonparametric) and exact methods when normality assumptions are violated.

    • Main Results:

    • The z-value of 1.96 on either side of the mean encompasses 95% of the normal distribution's area.
    • The normal distribution is applicable for estimating population means if the population standard deviation is known.
    • The t-distribution serves as a substitute when the population standard deviation is estimated from sample data.
    • Normal approximation to the binomial distribution is viable for proportions if data meet certain criteria.

    Conclusions:

    • The normal distribution and its transformations (z-distribution) are powerful tools for statistical inference.
    • Alternative methods like the t-distribution and nonparametric approaches are essential when normal distribution assumptions are not satisfied.
    • Understanding these distributions and their applications is key to accurate statistical analysis.