Manuals/calci/TTESTEQUALVARIANCES

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

• $ar1$ 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 ar2 } 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 md } 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 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 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 TTESTTWOSAMPLESEQUALVARIANCES(ar1,ar2,md,alpha,lv), ar1 } 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 ar2 } 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 md } is the Hypothesized Mean Difference .
• Suppose md=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 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:

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_x_1.s_x_2.\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_x_1.s_x_2 = \sqrt\frac{1}{2}(s_x_1^2+s_x_2^2)}
.

• 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_x_1} 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_x_2} are unbiased estimators of the variances of two samples.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_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. =TTESTSAMPLESEQUALVARIANCE(A1:F1,A2:F2,0.5)

See Also

• TTEST
• TDIST
• TINV
• TTESTUNEQUALVARIANCES