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T- test for matched groups

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1. Outline the difference between the t test for independent groups and the t test for matched groups.

2. A researcher computed the F ratio for a four-group experiment.The computed F is 4.86. The degrees of freedom are 3 for the numerator and 16 for the denominator.

a. Is the computed value of f significant at p <.05? Explain.

b. Is it significant at p<.01?, Explain

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Solution Summary

This solution of 254 words describes the characteristics of a t-test and determines the significance of the p-value for the F ratio.

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T- test

1. Outline the difference between the t test for independent groups and the t test for matched groups.

For the t-test for independent groups, we actually test if two pouplation means are the same. So, the null hypothesis will be

either mu1=mu2 , or mu1>=mu2; or mu1<=mu2.

But for the t-test for matched groups, we actually look at a new data by taking ...

Solution provided by:
Changping Wang, MA
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
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