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Biostatistics course Part 5 Binomial distribution

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To calculate probability in each combination and then add them, consume time. ... Describe probability of a characteristic that only can take two values. Bibliograf a ... – PowerPoint PPT presentation

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Title: Biostatistics course Part 5 Binomial distribution


1
Biostatistics coursePart 5Binomial distribution
  • Dr. en C. Nicolás Padilla Raygoza
  • Facultad de Enfermería y Obstetricia de Celaya
  • Universidad de Guanajuato México

2
Biosketch
  • Medical Doctor by University Autonomous of
    Guadalajara.
  • Pediatrician by the Mexican Council of
    Certification on Pediatrics.
  • Postgraduate Diploma on Epidemiology, London
    School of Hygine and Tropical Medicine,
    University of London.
  • Master Sciences with aim in Epidemiology,
    Atlantic International University.
  • Doctorate Sciences with aim in Epidemiology,
    Atlantic International University.
  • Associated Professor B, School of Nursing and
    Obstetrics of Celaya, university of Guanajuato.
  • padillawarm_at_gmail.com

3
Competencies
  • The reader will define what is binomial
    distribution.
  • He (she) will know how is binomial distribution.

4
Introduction
  • We know how calculate single probabilities, but
    now, we have to calculate more complex
    probabilities.
  • Example
  • 100 new born in a maternity in Celaya.
  • 55 were females and 45 were males.
  • Probability to be girl was 55/100 0.55
  • Probability to be boy, was 45/1000.45
  • What is the probability of two males in the next
    three new borns in this maternity?

5
Introduction
  • Two males between three new borns can occur
  • Male Male Female (MMF)
  • Male Female Male (MFM)
  • Female Male Male (FMM)
  • A, B and C are mutually excluded, and Probability
    (HHM) Probability (HMH) Probability (MHH)

6
Introduction
  • What is the probability that at least 1 of the
    next three new born be male?
  • The combinations
  • MFF, FMF, FFM, MMF, MFM, MMF, MMM.
  • To calculate probability in each combination and
    then add them, consume time.
  • The possible combinations of gender in three new
    born are 8 MFF, FMF, FFM, MMF, MFM, MMF, MMM,
    FFF.

7
  • In anyone calculation of probability, we should
    count how many combinations of an event will
    produce an result to calculate the probability
    of each combination and then add the probability
    of all combinations, because they are mutually
    excluded.

8
Binomial distribution
  • Describe probability of a characteristic that
    only can take two values.

9
Bibliografía
  • 1.- Last JM. A dictionary of epidemiology. New
    York, 4ª ed. Oxford University Press, 2001173.
  • 2.- Kirkwood BR. Essentials of medical
    ststistics. Oxford, Blackwell Science, 1988 1-4.
  • 3.- Altman DG. Practical statistics for medical
    research. Boca Ratón, Chapman Hall/ CRC 1991
    1-9.
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