# Manuals/calci/TTESTEQUALVARIANCES

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.


## Examples

A B C D E F
1 10 15 18 27 12 34
2 17 20 25 39 9 14
1. =TTESTTWOSAMPLESEQUALVARIANCES(A1:F1,A2:F2,2,0.5)
Result
Variable 1 Variable 2
Mean 19.333333333333332 20.666666666666668
Variance 87.06666666666666 109.86666666666667
Observations 6 6
Pooled Variance 98.46666666666667
Hypothesized Mean Difference 2
Degree Of Freedom 10
T- Statistics -0.5818281835787091
P(T<=t) One-tail 0.28678199670723614
T Critical One-Tail 0
P(T<=t) Two-tail 0.5735639934144723
T Critical Two-Tail 0.6998120613365443

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TTESTEQUALVARIANCES