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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.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 6CR
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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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