Manuals/calci/TTESTTWOSAMPLESEQUALVARIANCES

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

• Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Array1 } and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Array2 } are set of values.
• Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle HypothesizedMeanDifference } is the Hypothesized Mean Difference.
• Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Alpha } is the significance level.
• Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle NewTableFlag } is either 0 or 1.
  • TTESTTWOSAMPLESEQUALVARIANCES(), determines whether two sample means are equal.

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 $TTESTTWOSAMPLESEQUALVARIANCES(Array1,Array2,HypothesizedMeanDifference,Alpha,NewTableFlag)$, Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Array1 } and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Array2 } are two arrays of sample values. Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle HypothesizedMeanDifference } is the Hypothesized Mean Difference .
• Suppose HypothesizedMeanDifference=0 which indicates that sample means are hypothesized to be equal.
• Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Alpha } is the significance level which ranges from 0 to 1.
• Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle NewTableFlag } is either 0 or 1.
• "1" is indicating the result will display in new worksheet.Suppose we are omitted the NewTableFlag value it will consider the value as "0".
• The t statistic of this function calculated by:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle t = \frac{\bar{x_1}-\bar{x_2}}{s_{x1}.s_{x2}.\sqrt{\frac{2}{n}}}}

where Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle s_{x1}.s_{x2} = \sqrt{\frac{1}{2}(s_{x1}^2+s_{x2}^2)}}

• Here Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle s_{x1}} and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle s_{x2}} are unbiased estimators of the variances of two samples.Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle s_{x1}.s_{x2}} 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.Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Array1 }
 and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle  Array2 }
 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. =TTESTTWOSAMPLESEQUALVARIANCES(A1:F1,A2:F2,2,0.5,0)

t-Test: Two-Sample Assuming Equal Variances

	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

Related Videos

T Test two sample Equal variances

See Also

• TTEST
• TDIST
• TINV
• TTESTTWOSAMPLESUNEQUALVARIANCES

References

• Student's t-distribution

• List of Main Z Functions

• Z3 home