Difference between revisions of "Manuals/calci/FRIEDMANTEST"

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<div style="font-size:25px">'''FRIEDMAN(Array,SignificanceLevel,logicalValue)'''</div><br/>
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<div style="font-size:25px">'''FRIEDMANTEST (SampleDataByGroup,ConfidenceLevel,NewTableFlag)'''</div><br/>
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*<math>Array</math> is the array of values to find the test statistic.
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*<math>SampleDataByGroup</math> is the array of values to find the test statistic.
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*<math>SignificanceLevel</math> is the value between 0 and 1.
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*<math>ConfidenceLevel</math> is the value between 0 and 1.
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*<math>Logicalvalue</math> is either TRUE or FALSE.
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*<math>NewTableFlag</math> is either TRUE or FALSE.
  
 
==Description==
 
==Description==
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*2.Group is a random sample from the population.
 
*2.Group is a random sample from the population.
 
*3.The dependent variable should be measured at the ordinal or continuous level.
 
*3.The dependent variable should be measured at the ordinal or continuous level.
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*4.Samples do NOT need to be normally distributed.
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*4.Samples do not need to be normally distributed.
 
*'''Steps for Fried man Test''':
 
*'''Steps for Fried man Test''':
 
*1.Define Null and Alternative Hypotheses:Null Hypotheses:There is no difference between the conditions.Alternative Hypotheses:There is a difference between the conditions.
 
*1.Define Null and Alternative Hypotheses:Null Hypotheses:There is no difference between the conditions.Alternative Hypotheses:There is a difference between the conditions.
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==Example==
 
==Example==
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{| class="wikitable"
 +
|+
 +
| White || Red || Rose
 +
|-
 +
| 10 || 7 || 8
 +
|-
 +
| 8 || 5 || 5
 +
|-
 +
| 7 || 8 || 6
 +
|-
 +
| 9 || 6 || 4
 +
|-
 +
| 7 || 5 || 7
 +
|-
 +
| 4 || 7 || 5
 +
|-
 +
| 5 || 9 || 3
 +
|-
 +
| 6 || 6 || 7
 +
|-
 +
| 5 || 4 || 6
 +
|-
 +
| 10 || 6 || 4
 +
|-
 +
| 4 || 7 || 4
 +
|-
 +
| 7 || 3 || 3
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|}
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#=FRIEDMANTEST(A1:C13,0.05,TRUE)
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 +
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{| class="SpreadSheet notepad'
 +
|+ TEST-STATISTICS
 +
RANKS
 +
 +
 +
! White
 +
 +
! Red
 +
 +
! Rose
 +
 +
|-
 +
| 3
 +
| 1
 +
| 2
 +
 +
|-
 +
| 3
 +
| 1.5
 +
| 1.5
 +
 +
|-
 +
| 2
 +
| 3
 +
| 1
 +
 +
|-
 +
| 3
 +
| 2
 +
| 1
 +
 +
|-
 +
| 2.5
 +
| 1
 +
| 2.5
 +
 +
|-
 +
| 1
 +
| 3
 +
| 2
 +
 +
|-
 +
| 2
 +
| 3
 +
| 1
 +
 +
|-
 +
| 1.5
 +
| 1.5
 +
| 3
 +
 +
|-
 +
| 2
 +
| 1
 +
| 3
 +
 +
|-
 +
| 3
 +
| 2
 +
| 1
 +
 +
|-
 +
| 1.5
 +
| 3
 +
| 1.5
 +
 +
|-
 +
| 3
 +
| 1.5
 +
| 1.5
 +
 +
|}
 +
 +
{| class="SpreadSheet notepad'
 +
|+
 +
 +
 +
 +
! ANALYSIS
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 +
|-
 +
|
 +
| White
 +
| Red
 +
| Rose
 +
 +
|-
 +
| Sum Of Ranks
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| 27.5
 +
| 23.5
 +
| 21
 +
 +
|-
 +
| SS
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| 756.25
 +
| 552.25
 +
| 441
 +
 +
|-
 +
| Qr
 +
| 1.7916666666666572
 +
 +
|-
 +
| df
 +
| 2
 +
 +
|-
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| AsymSig
 +
| 0.4082672341468858
 +
 +
|}
 +
 +
==Related Videos==
 +
 +
{{#ev:youtube|KbBn4A7VFMs|280|center|Friedman Test}}
 +
 +
==See Also==
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*[[Manuals/calci/LEVENESTEST| LEVENESTEST]]
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*[[Manuals/calci/MOODSMEDIANTEST| MOODSMEDIANTEST]]
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*[[Manuals/calci/RIEMANNZETA| RIEMANNZETA]]
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 +
==References==
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*[http://en.wikipedia.org/wiki/Friedman_test Friedman test documentation on Wikipedia]
 +
*[http://www.qimacros.com/hypothesis-testing/friedman-nonparametric-test-excel/ Friedman test on Excel]
 +
 +
 +
*[[Z_API_Functions | List of Main Z Functions]]
 +
 +
*[[ Z3 |  Z3 home ]]

Latest revision as of 12:19, 6 June 2018

FRIEDMANTEST (SampleDataByGroup,ConfidenceLevel,NewTableFlag)


  • is the array of values to find the test statistic.
  • is the value between 0 and 1.
  • is either TRUE or FALSE.

Description

  • This function gives the Test statistic summary of FriedMan Test.
  • Friedman's test is a nonparametric test that compares three or more paired groups.
  • It is the alternative to ANOVA with repeated measures.
  • It is used to test for differences between groups when the dependent variable being measured is ordinal.
  • It can also be used for continuous data that has violated the assumptions necessary to run the one-way ANOVA with repeated measures.
  • This test is simelar to the Kruskal Wallis test.
  • The data of the Fried Man test having the following assumptions:
  • 1. One group that is measured on three or more different occasions.
  • 2.Group is a random sample from the population.
  • 3.The dependent variable should be measured at the ordinal or continuous level.
  • 4.Samples do not need to be normally distributed.
  • Steps for Fried man Test:
  • 1.Define Null and Alternative Hypotheses:Null Hypotheses:There is no difference between the conditions.Alternative Hypotheses:There is a difference between the conditions.
  • 2.State Alpha:Alpha=0.05.
  • 3.Calculate degrees of freedom:df = k – 1, where k = number of groups.
  • 4.State Decision Rule:From the Chi squared table calculate the critical value.
  • Suppose the chisquared(symbol)is greater than the critical value then reject the null hypothesis
  • 5.Calculate the Test Statistic:
  • k = number of columns (often called “treatments”)
  • n = number of rows (often called “blocks”)
  • Rj = sum of the ranks in column j.
  • If there is no significant difference between the sum of the ranks of each of the columns, then M will be small, but if at least one column shows significant difference then M will be larger.
  • 6.State Results:In this step we have to take a decision of null hypothesis either accept or reject depending on the critical value table.
  • 7.State Conclusion:To be significant, our obtained U has to be equal to or LESS than this

critical value.

Example

White Red Rose
10 7 8
8 5 5
7 8 6
9 6 4
7 5 7
4 7 5
5 9 3
6 6 7
5 4 6
10 6 4
4 7 4
7 3 3
  1. =FRIEDMANTEST(A1:C13,0.05,TRUE)


TEST-STATISTICS RANKS
White Red Rose
3 1 2
3 1.5 1.5
2 3 1
3 2 1
2.5 1 2.5
1 3 2
2 3 1
1.5 1.5 3
2 1 3
3 2 1
1.5 3 1.5
3 1.5 1.5
ANALYSIS
White Red Rose
Sum Of Ranks 27.5 23.5 21
SS 756.25 552.25 441
Qr 1.7916666666666572
df 2
AsymSig 0.4082672341468858

Related Videos

Friedman Test

See Also

References


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