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Home > Statistical Methods calculators > Standard error example
9. Parametric test - Standard error example ( Enter your problem )
( Enter your problem )
  1. Example-1
  2. Example-2
 		Other related methods
  1. Non parametric test - Sign test
  2. Non parametric test - Mann whitney U test
  3. Non parametric test - Kruskal-wallis test
  4. Non parametric test - Chi square test
  5. Non parametric test - Median test
  6. Non parametric test - Mood's Median test
  7. Parametric test - F test
  8. Parametric test - t-test
  9. Parametric test - Standard error
1. Example-1
(Previous example)

2. Example-2


2. Standard error for the following data
5,6,7,8,9, Significance Level alpha=0.05 and One-tailed test

Solution:
bar x=7 and Variance sigma^2=2.5 for 5,6,7,8,9


xx^2
525
636
749
864
981
------
sum x=35sum x^2=255


Mean bar x = (sum x)/n

=(5 + 6 + 7 + 8 + 9)/5

=35/5

=7


Sample Variance S^2 = (sum x^2 - (sum x)^2/n)/(n-1)

=(255 - (35)^2/5)/4

=(255 - 245)/4

=10/4

=2.5


sigma=sqrt(sigma^2)=sqrt(2.5)=1.5811

Standard Error =(sigma)/sqrt(n)=1.5811/sqrt(5)=1.5811/2.2361=0.7071

This material is intended as a summary. Use your textbook for detail explanation.
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1. Example-1
(Previous example)


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