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Paired Samples t-Test: Estimated Standard Error and the Difference Scores

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Discussion Assignment #10
To be able to earn full credit you must post your own response (respond to all questions below) and respond to another student's post.
1) Review the paired samples t-test equation below and answer the questions:
t test.png
1a. What is d with the bar over it called and how do you find it?
1b. What is the S (with subnotation of d) called?
1c. What is n?
2) What is the estimated standard error for a paired sample t-test using the following data: Standard deviation of the difference score = 5 and n=100?
3) In a paired samples t test, explain the logic of difference scores (why do you need to find them to make conclusions about your research) and why do you compare it to a population mean often designated as zero (µ = 0)?

Coursework Sample Content Preview:
Discussion 10
1) Review the paired samples t-test equation and answer the questions:
1a. What is d with the bar over it called and how do you find it?
D bar (d) is the difference between the pairs of data in the paired samples t-test equation. It is used to numerically differentiate two data in a pair in order to be able to differentiate their means.
1b. What is the S (with subnotation of d) called?
The S with the subnotation d (Sd) is the standard deviation, which is the average deviation or variation of all differences of any paired data sets in any given problem. It is the square root of the calculated variance.
1c. What is n?
n (lower case N) is the sample size of the population (denoted as upper case N) used in the computation or equation.
2) What is the estimated standard error for a paired sample t-test using the following data: Standard deviation of the difference score = 5 and n=100?
The sample error (SE) of a paired sample t-test is calc...
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