Introduction to Statistical Tests of Significance

Authors

  • Noohi Khan Assistant Professor II, Amity School of Applied Sciences, Amity University, Lucknow, Uttar Pradesh, India

Keywords:

Alternative, hypothesis, level of significances, non-parametric, null, P-value, parametric

Abstract

Hypothesis examination is the process in which we compare between two differing hypotheses. i.e. the null hypothesis H0 and the alternative hypothesis. As the null hypothesis is examined, a choice is either correct or incorrect. An incorrect conclusion can be produced in two methods: We can deny the null hypothesis once it is true (Type I error) or we cannot succeed to eliminate the null hypothesis when it is incorrect (Type II error). The possibility of getting Type I and Type II errors is defined by leading and beta edition, individually. The p-estimate is the possibility of getting findings as excessive as the examined outcomes of a statistical hypothesis test, assuming that null assumption is appropriate. A reduced p-value means that there is stronger evidence in preference of the alternate hypothesis.

References

Hari Arora. A textbook on Probability and Statistics. 2013.

Bhattacharya GK, RA Johnson. Statistical methods. New York: John Willey; 1977.

Berenson ML, Levine DM. Basic Business Statistics. Englewood Cliffs, New Jersey: Prentice-Hall; 1996.

Bhattacharyya GK, RA Johnson. Statistical Concepts and Methods. New York: John Wiley and Sons; 1997.

Birnbaum ZW. Numerical tabulation of the distribution of Kolmogorov’s statistic for finite sample size. Journal of the American Statistical Association. 1952; 47(259): 425–441.

Brown Lawrence D, T Tony Cai, Anirban Das Gupta. Interval estimation for a binomial proportion. Statistical Science. 2001; 16(2): 101–117. Accessed on June 2021. http://www.jstor.org/stable/2676784.

Dixon WJ, Massey FJ. Introduction to Statistical Analysis. New York: Mc Graw-Hill; 1969.

SC Gupta, VK Kapoor. Text book on Mathematical Statistics. Kanpur, India: Sultan Chand & Sons; 1999.

Ram Kapoor. Text book on Statistical Methodology. Banaras, India; 2014.

Ram Kapoor. Text book on statistics and Random variable. New York: Tata Mc Graw-Hill; 2015.

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Published

2021-09-15

Issue

Vol. 10 No. 2 (2021)

Section

Review Article

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