For a repeated measures study comparing two treatments with a sample of n=16 participants, a researcher obtains a sample mean difference of MD = 3.3 with SS = 315 for the difference scores. Calculate the repeated-measures t statistic for these data using a two-tailed test, and determine if it is enough to reject the null hypothesis. For this test use a=.01.

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Asked Oct 12, 2019
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For a repeated measures study comparing two treatments with a sample of n=16 participants, a researcher obtains a sample mean difference of MD = 3.3 with SS = 315 for the difference scores. Calculate the repeated-measures t statistic for these data using a two-tailed test, and determine if it is enough to reject the null hypothesis. For this test use a=.01.

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Expert Answer

Step 1

The repeated measures t statistic is 2.87 and it is obtained below:

 

From the given information, the sample mean ...

MD-
t =
S
MD-
SS
п-1
SS
Vn-1
3.3-0
315
V16-1
V16
3.3
1.15
=2.87
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MD- t = S MD- SS п-1 SS Vn-1 3.3-0 315 V16-1 V16 3.3 1.15 =2.87

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