Difference between revisions of "Manuals/calci/TTESTUNEQUALVARIANCES"
Jump to navigation
Jump to search
| Line 12: | Line 12: | ||
*2. The means and variances are distinct . | *2. The means and variances are distinct . | ||
*In <math>TTESTTWOSAMPLESUNEQUALVARIANCES(ar1,ar2,md,alpha,lv), ar1</math> and <math> ar2 </math> are two arrays of sample values. | *In <math>TTESTTWOSAMPLESUNEQUALVARIANCES(ar1,ar2,md,alpha,lv), ar1</math> and <math> ar2 </math> are two arrays of sample values. | ||
| − | *<math> md </math> is the Hypothesized Mean Difference .Suppose md=0 which indicates that sample means are hypothesized to be equal. | + | *<math> md </math> is the Hypothesized Mean Difference .Suppose md = 0 which indicates that sample means are hypothesized to be equal. |
*<math> alpha </math> is the significance level which ranges from 0 to 1. | *<math> alpha </math> is the significance level which ranges from 0 to 1. | ||
*<math> lv </math> is the logical value like TRUE or FALSE. | *<math> lv </math> 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. | *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: | *The t statistic of this function calculated by: | ||
| − | <math> t=\frac{\bar{ | + | <math> t=\frac{\bar{x_1}-\bar{x_2}}{s_{\bar{x_1}-\bar{x_2}}}</math> where <math>s_{\bar{x_1}-\bar{x_2}}= \sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}} </math> |
| − | *Here <math> s_1^2</math> and <math> s_2^2</math> are unbiased estimators of the variances of two samples. | + | *Here <math> s_1^2</math> and <math> s_2^2</math> are unbiased estimators of the variances of two samples. <math> n_1</math> and <math> n_2</math> are the number of data points in two arrays . <math>s_{\bar{x_1}-\bar{x_2}} is not a pooled variance. |
*This function will give the result as error when | *This function will give the result as error when | ||
| − | 1. any one of | + | 1. any one of the argument is non-numeric. |
2.alpha>1 | 2.alpha>1 | ||
Revision as of 23:40, 3 February 2014
TTESTTWOSAMPLESUNEQUALVARIANCES(ar1,ar2,md,alpha,lv)
- and are set of values.
- is the Hypothesized Mean Difference.
- is the significance level.
- is the logical value.
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 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 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:
and where
where 
- Here and are unbiased estimators of the variances of two samples. and are the number of data points in two arrays . <math>s_{\bar{x_1}-\bar{x_2}} is not a pooled variance.
- This function will give the result as error when
and 
are unbiased estimators of the variances of two samples. 
and 
are the number of data points in two arrays . <math>s_{\bar{x_1}-\bar{x_2}} is not a pooled variance. 1. any one of the argument is non-numeric.
2.alpha>1
Examples
| A | B | C | D | E | F | G | |
|---|---|---|---|---|---|---|---|
| 1 | 12 | 21 | 9 | 18 | 27 | 37 | 41 |
| 2 | 19 | 8 | 45 | 29 | 14 | 10 | 11 |
- =TTESTSAMPLESEQUALVARIANCES(A1:F1,A2:F2,0.5)
See Also