Imagine I compared two Correlated t-tests. In the first test, I noticed that the individuals were more variable from one another than the group of individuals assembled for the second t-test. That is, S,2 and S,2 for the first Correlated t-test was larger than S,2 and S,2 for the second Correlated t-test. Based on this informationI would expect that O a. The first t-test will likely have a lower obtainedt value than the second t-test because there is more variability due to error O b. The first t-test will likely have a lower obtained t-value than the second t-test because with more variability they will likely have lower correlation (r value) O c. As the value of S,2 and S,2 are less relevant than the r-value between group 1 & 2, there is no way to determine which test would have the higher obtained t- value O d. As the S,2 and S,2 are larger for the first test, this indicates that there is more correlation (higher r-value) and therefore will produce a larger obtained t-value The assumption of the homogeneity of variance (S?, is more or less equal to S2) is not required in a correlated/repeated measures t-test O a. False because we need to check the assumption that treatment effects are additive True because the participants in group one are the same (or matched with) participants in group two the variances in the two groups will be the same O C. False because in a correlated t-test the variance in group 1 and 2 has to be similar or the correlation (r-value) will not reflect a linear relationship

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Imagine I compared two Correlated t-tests. In the first test, I noticed that the
individuals were more variable from one another than the group of individuals
assembled for the second t-test. That is, S,2 and S22 for the first Correlated t-test was
larger than S,2 and S22 for the second Correlated t-test. Based on this information I
would expect that
O a. The first t-test will likely have a lower obtainedt value than the second t-test
because there is more variability due to error
Ob.
The first t-test will likely have a lower obtained t-value than the second t-test
because with more variability they will likely have lower correlation (r value)
O c. As the value of S,2 and S,2 are less relevant than the r-value between group 1 &
2, there is no way to determine which test would have the higher obtained t-
value
O d. As the S,2 and S22 are larger for the first test, this indicates that there is more
correlation (higher r-value) and therefore will produce a larger obtained t-value
The assumption of the homogeneity of variance (S2, is more or less equal to S2) is not
required in a correlated/repeated measures t-test
O a.
False because we need to check the assumption that treatment effects are
additive
Ob.
True because the participants in group one are the same (or matched with)
participants in group two the variances in the two groups will be the same
O C. False because in a correlated t-test the variance in group 1 and 2 has to be
similar or the correlation (r-value) will not reflect a linear relationship
Transcribed Image Text:Imagine I compared two Correlated t-tests. In the first test, I noticed that the individuals were more variable from one another than the group of individuals assembled for the second t-test. That is, S,2 and S22 for the first Correlated t-test was larger than S,2 and S22 for the second Correlated t-test. Based on this information I would expect that O a. The first t-test will likely have a lower obtainedt value than the second t-test because there is more variability due to error Ob. The first t-test will likely have a lower obtained t-value than the second t-test because with more variability they will likely have lower correlation (r value) O c. As the value of S,2 and S,2 are less relevant than the r-value between group 1 & 2, there is no way to determine which test would have the higher obtained t- value O d. As the S,2 and S22 are larger for the first test, this indicates that there is more correlation (higher r-value) and therefore will produce a larger obtained t-value The assumption of the homogeneity of variance (S2, is more or less equal to S2) is not required in a correlated/repeated measures t-test O a. False because we need to check the assumption that treatment effects are additive Ob. True because the participants in group one are the same (or matched with) participants in group two the variances in the two groups will be the same O C. False because in a correlated t-test the variance in group 1 and 2 has to be similar or the correlation (r-value) will not reflect a linear relationship
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