3. i) Answer the following questions / statements: (a) A correlation does not imply a cause relationship between two variables. Explain why. (b) When increasing the sample size, what will happen to the standard error and the statistical power? Explain your answer. (c) When performing multiple regression modelling, what will happen to the adjusted R² and the F statistic, respectively, if you include redundant (non-significant) predictors? Explain your answer. ii) For each of the following scenarios, state the most appropriate statistical test to use and explain your answer. a) A sample of 50 depressed individuals has been provided a psychological mood inventory. The patients are then provided a new form of antidepressant to take over a one-week period. Afterwards, they were readministered the same inventory to determine if the new drug had an effect. b) A recent study has discovered that adolescents will spend on average 4.5 hours per night using the internet. Researchers want to determine if this is significantly different to the mean number of hours spent on the internet back in 2003 (u = 1.8 hours). c) An experiment was conducted on the effect of a growth hormone on height gain amongst under-developed two-year-old children. Twenty children were measured, and their mean was compared to the population mean at the same age. d) A researcher studied the relationship between coffee drinking groups (Yes/No) and working status (full time/part time/casual).
3. i) Answer the following questions / statements: (a) A correlation does not imply a cause relationship between two variables. Explain why. (b) When increasing the sample size, what will happen to the standard error and the statistical power? Explain your answer. (c) When performing multiple regression modelling, what will happen to the adjusted R² and the F statistic, respectively, if you include redundant (non-significant) predictors? Explain your answer. ii) For each of the following scenarios, state the most appropriate statistical test to use and explain your answer. a) A sample of 50 depressed individuals has been provided a psychological mood inventory. The patients are then provided a new form of antidepressant to take over a one-week period. Afterwards, they were readministered the same inventory to determine if the new drug had an effect. b) A recent study has discovered that adolescents will spend on average 4.5 hours per night using the internet. Researchers want to determine if this is significantly different to the mean number of hours spent on the internet back in 2003 (u = 1.8 hours). c) An experiment was conducted on the effect of a growth hormone on height gain amongst under-developed two-year-old children. Twenty children were measured, and their mean was compared to the population mean at the same age. d) A researcher studied the relationship between coffee drinking groups (Yes/No) and working status (full time/part time/casual).
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.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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Transcribed Image Text:3. i) Answer the following questions / statements:
(a) A correlation does not imply a cause relationship between two variables. Explain why.
(b) When increasing the sample size, what will happen to the standard error and the statistical
power? Explain your answer.
(c) When performing multiple regression modelling, what will happen to the adjusted R² and
the F statistic, respectively, if you include redundant (non-significant) predictors? Explain
your answer. ii) For each of the following scenarios, state the most appropriate statistical
test to use and explain your answer.
a) A sample of 50 depressed individuals has been provided a psychological mood
inventory. The patients are then provided a new form of antidepressant to take over a
one-week period. Afterwards, they were readministered the same inventory to
determine if the new drug had an effect.
b) A recent study has discovered that adolescents will spend on average 4.5 hours per night
using the internet. Researchers want to determine if this is significantly different to the
mean number of hours spent on the internet back in 2003 (u = 1.8 hours).
c) An experiment was conducted on the effect of a growth hormone on height gain
amongst under-developed two-year-old children. Twenty children were measured, and
their mean was compared to the population mean at the same age.
d) A researcher studied the relationship between coffee drinking groups (Yes/No) and
working status (full time/part time/casual).
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