Difference between revisions of "Manuals/calci/LEVENESTESTOLD"
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*6.Then decision of the value of the test statistic,W is falls in the rejection region or if p-value ≤ α, then reject <math>H_0</math>.Otherwise, fail to reject <math>H_0</math>. For the computation p-value we have to use the value of <math>df_1</math> and <math>df_2</math>. | *6.Then decision of the value of the test statistic,W is falls in the rejection region or if p-value ≤ α, then reject <math>H_0</math>.Otherwise, fail to reject <math>H_0</math>. For the computation p-value we have to use the value of <math>df_1</math> and <math>df_2</math>. | ||
*7. Finally we have to conclude that the rejection of <math>H_0</math> or fail to rejection <math>H_0</math> according to the test statistic at the significance level. | *7. Finally we have to conclude that the rejection of <math>H_0</math> or fail to rejection <math>H_0</math> according to the test statistic at the significance level. | ||
+ | |||
+ | ==Examples== | ||
+ | #LEVENESTESTOLD([[3067,2730,2840,2913,2789],[3200,2777,2623,3044,2834]],0.05,0) | ||
+ | |||
+ | ==See Also== | ||
+ | *[[Manuals/calci/SIGNTEST| SIGNTEST]] | ||
+ | *[[Manuals/calci/FRIEDMANTEST| FRIEDMANTEST]] | ||
+ | |||
+ | ==References== | ||
+ | |||
+ | *[http://en.wikipedia.org/wiki/Levene%27s_test Levene's test documentation on Wikipedia] | ||
+ | *[http://www.qimacros.com/hypothesis-testing/levenes-test/ Levene's test for variance in Excel] |
Revision as of 14:27, 14 December 2016
LEVENESTESTOLD(xRange,ConfidenceLevel,NewTableFlag)
- is the set of values for the test.
- is the value from 0 to 1.
- is either TRUE or FALSE. TRUE for getting results in a new cube. FALSE will display results in the same cube.
Description
- This function used to test the Homogeneity of variances.
- Levene's test is used to test the Samples have equal variances.
- Equal variances across samples is called homogeneity of variance or homoscedasticity.
- To do the Levenes test we need the following assumptions:
1.The Samples from the populations are independent of one another. 2. The population under consideration are Normally Distributed.
- For three or more variables the following statistical tests for homogeneity of variances are commonly used:
1.Levene's Test. 2.Bartlett Test.
- Levene's test is an alternative to the Bartlett test.
- If the data surely is of normally distributed or nearly to normally distributed then we can use the Bartlett test.
- The Levene's test is defined as
. =Not all of the variances are equal.
- Normally there are three versions of the Levenes test.
- There are
- 1.Use of Mean.
- 2.Use of Median.
- 3.Use of 10% of Trimmed Mean.
- The Levene test statistic is:
.
- where is the result of the test.
- is the number of different groups to which the sampled cases belong.
- is the total number of cases in all groups.
- is the number of cases in the group.
- case from the group.
- Zij is satisfying the one of the following conditions:
- 1.,Where is the Mean of the subgroup.
- 2.,Where is the Median of the subgroup
- 3.,Where is the 10%Trimmed Mean of the subgroup.
- Levene's Testing Procedure:
- 1. checking the assumptions.
- 2.State the Null(H0) and alternative(H1) hypothesis.
- 3.Decide on the Significance level (α).
- 4.Finding the Critical value and Rejection Region.Here ,.
- 5.Compute the Levenes statistic using the formula.
- 6.Then decision of the value of the test statistic,W is falls in the rejection region or if p-value ≤ α, then reject .Otherwise, fail to reject . For the computation p-value we have to use the value of and .
- 7. Finally we have to conclude that the rejection of or fail to rejection according to the test statistic at the significance level.
Examples
- LEVENESTESTOLD([[3067,2730,2840,2913,2789],[3200,2777,2623,3044,2834]],0.05,0)