Statnote 34 : the Kolmogorov-Smirnov (KS) test

Anthony Hilton, Richard Armstrong

Research output: Contribution to specialist publicationArticle

Abstract

The Kolmogorov-Smirnov (KS) test is a non-parametric test which can be used in two different circumstances. First, it can be used as an alternative to chi-square (?2) as a ‘goodness-of-fit’ test to compare whether a given ‘observed’ sample of observations conforms to an ‘expected’ distribution of results (KS, one-sample test). An example of the use of the one-sample test to determine whether a sample of observations was normally distributed was described previously. Second, it can be used as an alternative to the Mann-Whitney test to compare two independent samples of observations (KS, two-sample test). Hence, this statnote describes the use of the KS test with reference to two scenarios: (1) to compare the observed frequency (Fo) of soil samples containing cysts of the protozoan Naegleria collected each month for a year with an expected equal frequency (Fe) across months (one-sample test), and (2) to compare the abundance of bacteria on cloths and sponges sampled in a domestic kitchen environment (two-sample test).
Original languageEnglish
Pages28-30
Number of pages3
Volume14
Specialist publicationMicrobiologist
Publication statusPublished - Sep 2013

Fingerprint

scenario

Keywords

  • statistics
  • microbiology
  • Kolmogorov-Smirnov test

Cite this

Hilton, Anthony ; Armstrong, Richard. / Statnote 34 : the Kolmogorov-Smirnov (KS) test. In: Microbiologist. 2013 ; Vol. 14. pp. 28-30.
@misc{d6d995af1a4e45bc8d2acad33fd91a5d,
title = "Statnote 34 : the Kolmogorov-Smirnov (KS) test",
abstract = "The Kolmogorov-Smirnov (KS) test is a non-parametric test which can be used in two different circumstances. First, it can be used as an alternative to chi-square (?2) as a ‘goodness-of-fit’ test to compare whether a given ‘observed’ sample of observations conforms to an ‘expected’ distribution of results (KS, one-sample test). An example of the use of the one-sample test to determine whether a sample of observations was normally distributed was described previously. Second, it can be used as an alternative to the Mann-Whitney test to compare two independent samples of observations (KS, two-sample test). Hence, this statnote describes the use of the KS test with reference to two scenarios: (1) to compare the observed frequency (Fo) of soil samples containing cysts of the protozoan Naegleria collected each month for a year with an expected equal frequency (Fe) across months (one-sample test), and (2) to compare the abundance of bacteria on cloths and sponges sampled in a domestic kitchen environment (two-sample test).",
keywords = "statistics, microbiology, Kolmogorov-Smirnov test",
author = "Anthony Hilton and Richard Armstrong",
year = "2013",
month = "9",
language = "English",
volume = "14",
pages = "28--30",
journal = "Microbiologist",
issn = "1479-2699",

}

Hilton, A & Armstrong, R 2013, 'Statnote 34 : the Kolmogorov-Smirnov (KS) test' Microbiologist, vol. 14, pp. 28-30.

Statnote 34 : the Kolmogorov-Smirnov (KS) test. / Hilton, Anthony; Armstrong, Richard.

In: Microbiologist, Vol. 14, 09.2013, p. 28-30.

Research output: Contribution to specialist publicationArticle

TY - GEN

T1 - Statnote 34 : the Kolmogorov-Smirnov (KS) test

AU - Hilton, Anthony

AU - Armstrong, Richard

PY - 2013/9

Y1 - 2013/9

N2 - The Kolmogorov-Smirnov (KS) test is a non-parametric test which can be used in two different circumstances. First, it can be used as an alternative to chi-square (?2) as a ‘goodness-of-fit’ test to compare whether a given ‘observed’ sample of observations conforms to an ‘expected’ distribution of results (KS, one-sample test). An example of the use of the one-sample test to determine whether a sample of observations was normally distributed was described previously. Second, it can be used as an alternative to the Mann-Whitney test to compare two independent samples of observations (KS, two-sample test). Hence, this statnote describes the use of the KS test with reference to two scenarios: (1) to compare the observed frequency (Fo) of soil samples containing cysts of the protozoan Naegleria collected each month for a year with an expected equal frequency (Fe) across months (one-sample test), and (2) to compare the abundance of bacteria on cloths and sponges sampled in a domestic kitchen environment (two-sample test).

AB - The Kolmogorov-Smirnov (KS) test is a non-parametric test which can be used in two different circumstances. First, it can be used as an alternative to chi-square (?2) as a ‘goodness-of-fit’ test to compare whether a given ‘observed’ sample of observations conforms to an ‘expected’ distribution of results (KS, one-sample test). An example of the use of the one-sample test to determine whether a sample of observations was normally distributed was described previously. Second, it can be used as an alternative to the Mann-Whitney test to compare two independent samples of observations (KS, two-sample test). Hence, this statnote describes the use of the KS test with reference to two scenarios: (1) to compare the observed frequency (Fo) of soil samples containing cysts of the protozoan Naegleria collected each month for a year with an expected equal frequency (Fe) across months (one-sample test), and (2) to compare the abundance of bacteria on cloths and sponges sampled in a domestic kitchen environment (two-sample test).

KW - statistics

KW - microbiology

KW - Kolmogorov-Smirnov test

UR - http://issuu.com/societyforappliedmicrobiology/docs/sept2013_micro

M3 - Article

VL - 14

SP - 28

EP - 30

JO - Microbiologist

JF - Microbiologist

SN - 1479-2699

ER -