Manuals/calci/TTESTEQUALVARIANCES

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

• $ar1$ and $ar2$ are set of values.
• $md$ is the Hypothesized Mean Difference.
• $alpha$ is the significance level.
• $lv$ 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 $TTESTTWOSAMPLESEQUALVARIANCES(ar1,ar2,md,alpha,lv),ar1$ and $ar2$ are two arrays of sample values. $md$ is the Hypothesized Mean Difference .
• Suppose md=0 which indicates that sample means are hypothesized to be equal.
• $alpha$ is the significance level which ranges from 0 to 1.
• $lv$ 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:

$t={\frac {{\bar {x_{1}}}-{\bar {x_{2}}}}{s_{x1}.s_{x2}.{\sqrt {\frac {2}{n}}}}}$
where $s_{x1}.s_{x2}={\sqrt {{\frac {1}{2}}(s_{x1}^{2}+s_{x2}^{2})}}$

• Here Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. TeX parse error: Double subscripts: use braces to clarify"): {\displaystyle s_{x}_{1}} and Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. upstream connect error or disconnect/reset before headers. reset reason: connection termination"): {\displaystyle s_{x}_{2}} are unbiased estimators of the variances of two samples.Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. TeX parse error: Double subscripts: use braces to clarify"): {\displaystyle s_{x}_{1}.s_{x}_{2}} 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 nonnumeric.
  2.alpha>1
  3.ar1 and ar2 are having different number of data points.

Examples

Spreadsheet

	A	B	C	D	E	F
1	10	15	18	27	12	34
2	17	20	25	39	9	14

1. =TTESTSAMPLESEQUALVARIANCES(A1:F1,A2:F2,2,0.5)

See Also

• TTEST
• TDIST
• TINV
• TTESTUNEQUALVARIANCES