Skip to main content
Top

2018 | OriginalPaper | Chapter

5. Testing of Hypothesis

Authors : Dharmaraja Selvamuthu, Dipayan Das

Published in: Introduction to Statistical Methods, Design of Experiments and Statistical Quality Control

Publisher: Springer Singapore

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In this section, we shall discuss another way to deal with the problem of making a statement about an unknown parameter associated with a probability distribution, based on a random sample. Instead of finding an estimate for the parameter, we shall often find it convenient to hypothesize a value for it and then use the information from the sample to confirm or refute the hypothesized value.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Appendix
Available only for authorised users
Footnotes
1
Jerzy Neyman (1894–1981) was a Polish mathematician and statistician who spent the first part of his professional career at various institutions in Warsaw, Poland, and then at University College London, and the second part at the University of California, Berkeley. Neyman first introduced the modern concept of a confidence interval into statistical hypothesis testing.
 
2
Egon Sharpe Pearson, (1895–1980) was one of three children and the son of Karl Pearson and, like his father, a leading British statistician. Pearson is best known for the development of the Neyman–Pearson Lemma of statistical hypothesis testing. He was the President of the Royal Statistical Society in 1955–1956 and was awarded its Guy Medal in gold in 1955. He was awarded a CBE in 1946.
 
3
Andrey Nikolaevich Kolmogorov (1903–1987) was a twentieth century Russian mathematician who made a significant contribution to the mathematics of probability theory. Kolmogorov was the receipient of numerous awards and honors including Stalin Prize (1941), Lenin Prize (1965), Wolf Prize (1980), and Lobachevsky Prize (1987).
 
Literature
go back to reference Cassella G, Berger RL (2002) Statistical inference. Duxbury, Pacific Grove Cassella G, Berger RL (2002) Statistical inference. Duxbury, Pacific Grove
go back to reference Freund JE, Miller I (2004) John E. Freund’s mathematical statistics: with applications. Pearson, New York Freund JE, Miller I (2004) John E. Freund’s mathematical statistics: with applications. Pearson, New York
go back to reference Freund R, Mohr D, Wilson W (2010) Statistical methods. Academic Press, LondonMATH Freund R, Mohr D, Wilson W (2010) Statistical methods. Academic Press, LondonMATH
go back to reference Hoel PG, Port SC, Stone CJ (1971) Introduction to statistical theory. Houghton Mifflin, BostonMATH Hoel PG, Port SC, Stone CJ (1971) Introduction to statistical theory. Houghton Mifflin, BostonMATH
go back to reference Medhi J (1992) Statistical methods: an introductory text. New Age International, New DelhiMATH Medhi J (1992) Statistical methods: an introductory text. New Age International, New DelhiMATH
go back to reference Meyer PL (1970) Introductory probability and statistical applications. Addison Wesley, Boston Meyer PL (1970) Introductory probability and statistical applications. Addison Wesley, Boston
go back to reference Miller LH (1956) Table of percentage points of Kolmogorov statistics. J Am Stat Assoc 51:111–121 Miller LH (1956) Table of percentage points of Kolmogorov statistics. J Am Stat Assoc 51:111–121
go back to reference Owen DB (1962) Handbook of statistical tables. Addison-Wesley, Reading, Mass Owen DB (1962) Handbook of statistical tables. Addison-Wesley, Reading, Mass
go back to reference Rohatgi VK, Ehsanes Saleh AKMd (2015) An introduction to probability and statistics. Wiley, New York Rohatgi VK, Ehsanes Saleh AKMd (2015) An introduction to probability and statistics. Wiley, New York
Metadata
Title
Testing of Hypothesis
Authors
Dharmaraja Selvamuthu
Dipayan Das
Copyright Year
2018
Publisher
Springer Singapore
DOI
https://doi.org/10.1007/978-981-13-1736-1_5

Premium Partner