### Abstract

Original language | English |
---|---|

Pages | 30-33 |

Number of pages | 4 |

Volume | 15 |

No. | 4 |

Specialist publication | Microbiologist |

Publication status | Published - Dec 2014 |

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### Keywords

- Binomial distribution
- Rules of probability
- Comparing two proportions

### Cite this

*Microbiologist*,

*15*(4), 30-33.

}

*Microbiologist*, vol. 15, no. 4, pp. 30-33.

**Statnote 39: The binomial distribution: comparing two proportions.** / Hilton, Anthony; Armstrong, Richard.

Research output: Contribution to specialist publication › Article

TY - GEN

T1 - Statnote 39: The binomial distribution: comparing two proportions

AU - Hilton, Anthony

AU - Armstrong, Richard

PY - 2014/12

Y1 - 2014/12

N2 - Many populations consist of two classes only, e.g., alive or dead, present or absent, clean or dirty, infected or non-infected, and it is the proportion or percentage of observations that fall into one of these classes that is of interest to an investigator. An observation that falls into one of the two classes is considered a ‘success’ (S), and ‘p’ is defined as the proportion of observations falling into that class. If a random sample of size ‘n’ is obtained from a population, the probability of obtaining 0, 1, 2, 3, etc., successes is then given by the binomial distribution. The binomial distribution can be used as the basis of a number of statistical tests but is most useful when comparing two proportions. This statnote describes two such scenarios in which the binomial distribution is used to compare: (1) two proportions when the samples are independent and (2) two proportions when the samples are paired.

AB - Many populations consist of two classes only, e.g., alive or dead, present or absent, clean or dirty, infected or non-infected, and it is the proportion or percentage of observations that fall into one of these classes that is of interest to an investigator. An observation that falls into one of the two classes is considered a ‘success’ (S), and ‘p’ is defined as the proportion of observations falling into that class. If a random sample of size ‘n’ is obtained from a population, the probability of obtaining 0, 1, 2, 3, etc., successes is then given by the binomial distribution. The binomial distribution can be used as the basis of a number of statistical tests but is most useful when comparing two proportions. This statnote describes two such scenarios in which the binomial distribution is used to compare: (1) two proportions when the samples are independent and (2) two proportions when the samples are paired.

KW - Binomial distribution

KW - Rules of probability

KW - Comparing two proportions

UR - http://issuu.com/societyforappliedmicrobiology/docs/2014_12_microbiologist

M3 - Article

VL - 15

SP - 30

EP - 33

JO - Microbiologist

JF - Microbiologist

SN - 1479-2699

ER -