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"recent research has shown that although the pooled t test does outperform the two-sample t test by a bit (smaller 's for the same a) when 0² o2, the former test can easily lead to erroneous conclusions if applied when the variances are different. " = (i) What does it mean by "smaller 3's for the same a"? Why does this imply that the pooled t test outperforms the two-sample t test? (ii) Why would the pooled t test outperform the two-sample t test when o² = 02? Discuss from the point of view of equal sample sizes.

"recent research has shown that although the pooled t test does outperform the two-sample t test by a bit (smaller 's for the same a) when 0² o2, the former test can easily lead to erroneous conclusions if applied when the variances are different. " = (i) What does it mean by "smaller 3's for the same a"? Why does this imply that the pooled t test outperforms the two-sample t test? (ii) Why would the pooled t test outperform the two-sample t test when o² = 02? Discuss from the point of view of equal sample sizes.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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"recent research has shown that although the pooled t test does outperform the two-sample t test by a bit (smaller 's for the same a) when 0² o2, the former test can easily lead to erroneous conclusions if applied when the variances are different. " = (i) What does it mean by "smaller 's for the same a"? Why does this imply that the pooled t test outperforms the two-sample t test? (ii) Why would the pooled t test outperform the two-sample t test when o² = 02? Discuss from the point of view of equal sample sizes.
Transcribed Image Text:"recent research has shown that although the pooled t test does outperform the two-sample t test by a bit (smaller 's for the same a) when 0² o2, the former test can easily lead to erroneous conclusions if applied when the variances are different. " = (i) What does it mean by "smaller 's for the same a"? Why does this imply that the pooled t test outperforms the two-sample t test? (ii) Why would the pooled t test outperform the two-sample t test when o² = 02? Discuss from the point of view of equal sample sizes.
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