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Although the samples are actually related, an investigator ignores this fact in the statistical analysis and uses a t test for two independent samples. How

Although the samples are actually related, an investigator ignores this fact in the statistical analysis and uses a t test for two independent samples. How will this mistake affect the probability of a type II error?

For 15.12,you are expected to compare the difference between t-test for two independent samples and t-test for two related samples. Please check the formula 15.4, 15.5, and 14.3.

You are encouraged to try the data set in 15.7 in two different ways: two independent samples and two related samples. What do you find in those results? You need to focus on p-values and discuss how it will affect type II error?

How to store data for t-test in SPSS

There are three different types of t-test.

1. One sample t-test

2. Two independent samples t-test

3. Matched pairs t-test

1. One sample t-test

We only have one group of data. Just type all the data into a single column and follow the tutorial.

2. Two independent samples t-test

We have two groups of data. We need to type all the data into a single column.

Let's say we have group 1 and group 2. Type group 1 data and then group 2 data in the same column.

In the next column, we type their group number.

If you use 1 and 2 for group identification, this second column will display 1's and 2's.

In summary, the first column contains the data from both groups.

The second column contains group number.

Then, follow the tutorial.

3. Matched pairs t-test

We have two groups of data and they are matched in pair.

Hence, we should not rearrange the order.

Type the data from the first group in the first column.

Type the data from the second group in the second column.

Then, follow the tutorial.

image text in transcribed
Firefox File Edit View History Bookmarks Tools Window Help Co Q 8 Tue Dec 14 10:04 PM La Student Portal h PSY-520 Annou h Halo Bibliu - Reade X h PSY-520 Topic [Solved] Given t G 14.12 To determi [Solved] A rese [Solved] Althoug Home Ins C O & https://bibliu.com/app/#/view/books/9781119299165/epub/OPS/c15.html#page_354 Student Portal | Main Style Guides - Citin... Student Success Ce.. Home Page APA Citation Gener... YouTube Music Student Success Ce.. G statistics for dummi.. D Examples of Standa. Paste Eleventh Edition Aa end of the experiment, the following GPAs are reported for the seven pairs of participants: GPAs PAIR NUMBER PHYSICAL EXERCISE (X1) NO PHYSICAL EXERCISE (X2) 1 4.00 3.75 2 2.67 2.74 3 3.65 3.42 -A 2.11 1.67 5 3.21 3.00 6 3.60 3.25 2.80 2.65 a. Using t, test the null hypothesis at the .01 level of significance. b. Specify the p-value for this test result. c. If appropriate (because the test result is statistically significant), use Cohen's d to estimate the effect Page 2 of 2 CHAPTER 15: T TEST FOR TWO RELATED SAMPLES (REPEATED M... p. 354 (354 of 529) Back to p.336

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