Difference between revisions of "Manuals/calci/TTESTTWOSAMPLESEQUALVARIANCES"

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ttest
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TTESTTWOSAMPLESEQUALVARIANCES (Array1,Array2,HypothesizedMeanDifference,Alpha,NewTableFlag)
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<div style="font-size:30px">'''TTESTTWOSAMPLESEQUALVARIANCES(ar1,ar2,md,alpha,lv)'''</div><br/>
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*<math>ar1 </math> and <math> ar2 </math>  are set of values.
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*<math>md </math> is the  Hypothesized Mean Difference.
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*<math> alpha </math> is the significance level.
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*<math> lv </math> is the logical value.
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==Description==
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*This function calculating the two Sample for equal variances determines whether two sample means are equal.
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*We can use this test when both:
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*1.The two sample sizes  are equal;
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*2.It can be assumed that the two distributions have the same variance.
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*In <math>TTESTTWOSAMPLESEQUALVARIANCES(ar1,ar2,md,alpha,lv)</math>, <math>ar1 </math> and <math> ar2 </math> are two arrays of sample values. <math> md </math> is the Hypothesized Mean Difference .
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*Suppose md=0 which  indicates that sample means are hypothesized to be equal.
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*<math> alpha </math> is the significance level which ranges from 0 to 1.
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*<math> lv </math> is the logical value like TRUE or FALSE.
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*TRUE is indicating the result will display in new worksheet.Suppose we are omitted the lv value it will consider the value as FALSE.
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*The t statistic of this function calculated by:
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<math>t = \frac{\bar{x_1}-\bar{x_2}}{s_{x1}.s_{x2}.\sqrt{\frac{2}{n}}}</math>
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where <math>s_{x1}.s_{x2} = \sqrt{\frac{1}{2}(s_{x1}^2+s_{x2}^2)}</math>
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*Here <math>s_{x1}</math> and <math>s_{x2}</math> are unbiased estimators of the variances of two samples.<math>s_{x1}.s_{x2}</math> is the grand standard deviation data 1 and data2 and n is the data points of two data set. 
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*This function will give the result as error when
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  1.any one of the argument is non-numeric.
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  2.alpha>1
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  3.<math>ar1 </math> and <math> ar2 </math> are having different number of data points.

Revision as of 16:25, 20 December 2016

TTESTTWOSAMPLESEQUALVARIANCES (Array1,Array2,HypothesizedMeanDifference,Alpha,NewTableFlag)

TTESTTWOSAMPLESEQUALVARIANCES(ar1,ar2,md,alpha,lv)


  • and are set of values.
  • is the Hypothesized Mean Difference.
  • is the significance level.
  • is the logical value.

Description

  • This function calculating the two Sample for equal variances determines whether two sample means are equal.
  • We can use this test when both:
  • 1.The two sample sizes are equal;
  • 2.It can be assumed that the two distributions have the same variance.
  • In , and are two arrays of sample values. is the Hypothesized Mean Difference .
  • Suppose md=0 which indicates that sample means are hypothesized to be equal.
  • is the significance level which ranges from 0 to 1.
  • is the logical value like TRUE or FALSE.
  • TRUE is indicating the result will display in new worksheet.Suppose we are omitted the lv value it will consider the value as FALSE.
  • The t statistic of this function calculated by:

where

  • Here and are unbiased estimators of the variances of two samples. is the grand standard deviation data 1 and data2 and n is the data points of two data set.
  • This function will give the result as error when
  1.any one of the argument is non-numeric.
  2.alpha>1
  3. and  are having different number of data points.