Manuals/calci/TTESTUNEQUALVARIANCES

TTESTTWOSAMPLESUNEQUALVARIANCES(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 unequal variances determines whether two sample means also distinct.
• We can use this test when both:
• 1.the two sample sizes are may are may not be equal;
• 2. The means and variances are distinct .
• In $TTESTTWOSAMPLESUNEQUALVARIANCES(ar1,ar2,md,alpha,lv)$, $ar1$ 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:

$t={\frac {{\bar {x_{1}}}-{\bar {x_{2}}}}{s_{{\bar {x_{1}}}-{\bar {x_{2}}}}}}$ where $s_{{\bar {x_{1}}}-{\bar {x_{2}}}}={\sqrt {{\frac {s_{1}^{2}}{n_{1}}}+{\frac {s_{2}^{2}}{n_{2}}}}}$

• Here $s_{1}^{2}$ and $s_{2}^{2}$ are unbiased estimators of the variances of two samples. $n_{1}$ and $n_{2}$ are the number of data points in two arrays. $s_{{\bar {x_{1}}}-{\bar {x_{2}}}}$ is not a pooled variance.
• This function will give the result as error when

     1. any one of the argument is non-numeric.
     2.alpha>1

Examples

Spreadsheet

	A	B	C	D	E	F	G
1	12	21	9	18	27	37	41
2	19	8	45	29	14	10	11

1. =TTESTTWOSAMPLESUNEQUALVARIANCES(A1:F1,A2:F2,3,0.5)

Result

	Variable 1	Variable 2
Mean	20.666666666666668	20.833333333333332
Variance	105.06666666666665	196.56666666666666
Observations	6	6
Hypothesized Mean Difference	3
Degree Of Freedom	9
T- Statistics	-0.4466201458140038
P(T<=t) One-tail	0.3328511748583461
T Critical One-Tail	0
P(T<=t) Two-tail	0.6657023497166922
T Critical Two-Tail	0.7027221467691982

See Also

• TTEST
• TDIST
• TINV
• TTESTEQUALVARIANCES

References

• Student's t-test