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Calculate An Independent t-Test

November 5, 2008 by  
Filed under How To Calculate, t-test

Consider the following data:
 
X                       Y
8                        5
8                        3
11                      8
14                      4
8                        7
6                        4
4                        2
 
To calculate an independent t-test, we need the mean and Sum of Squares for each variable. Then we use this formula:
 
Doing the calculations, we find:
SSx = 63.71
SSy = 27.43
meanX = 8.43
meanY = 4.71
 
And n for each variable is 7, so the total number of subjects (N) is 14. The degrees of freedom is N -2, so the df for this study = 12.
 
Inserting the appropriate infuriation into the appropriate slots in the formula, we calculate that t = 2.52
 
Comparing this to the critical value of 2.18, which we got by looking up the critical value at the .05 alpha level. We used the Critical Values of t table with 12 degrees of freedom.
 
Since the value we calculated is larger than the book, the t is significant. That is, there is a significant difference between the two groups and they are unlikely to be from the same population.
 
 
 
 
NOW YOU CHOOSE:
Day 8: Student’s t-Test
Bit More About t-Test
Even More About t-Test
How to Calculate t-Test
Practice Problems
More Practice Problems
Word Problems
Sim1 Sim2Sim3
Sim4Sim5Sim6
Sim7Sim8Sim9
Basic Facts About t-Test
Vocabulary
Formulas
Quiz 8
Summary

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13 Responses to “Calculate An Independent t-Test”

  1. t-test Calc 1 : Stat Practice Problems on March 9th, 2012 4:09 am

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  2. t-test Calc 1 Answers : Stat Practice Problems on March 9th, 2012 4:12 am

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  3. t-test Calc 2 : Stat Practice Problems on March 9th, 2012 4:59 am

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  4. t-test Calc 3 : Stat Practice Problems on March 9th, 2012 5:08 am

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  5. t-test Calc 3 Answers : Stat Practice Problems on March 9th, 2012 5:11 am

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  6. t-test Calc 4 : Stat Practice Problems on March 9th, 2012 5:29 am

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  7. t-test Calc 5 : Stat Practice Problems on March 9th, 2012 5:38 am

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  8. t-test Story 1 : Stat Practice Problems on March 9th, 2012 3:26 pm

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  9. t-test Story 2 : Stat Practice Problems on March 9th, 2012 10:38 pm

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  10. t-test Story 3 : Stat Practice Problems on March 9th, 2012 11:30 pm

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  11. t-test Story 4 : Stat Practice Problems on March 10th, 2012 12:09 am

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  12. t-test Story 5 : Stat Practice Problems on March 10th, 2012 3:18 am

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  13. How Cal t-test | How Calc Stats on March 15th, 2012 8:23 pm

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