Researchers are testing two new cholesterol medications. Medication is given to some males and females and a placebo is given to others. The tables below summarize the resulting HDL cholesterol levels after 8 weeks.Researchers are testing two new cholesterol medications. Medication is given to some males and females and a placebo is given to others. The tables below summarize the resulting HDL cholesterol levels after 8 weeks. Medication A WomenNMean HDLStd Dev of HDL New drug4035.472.45 Placebo4138.423.42 MenNMean HDLStd Dev of HDL New drug1046.191.35 Placebo939.062.89 Is there evidence of effect modification with medication B? Provide a brief (1-2 sentences) explanation. Medication B WomenNMean HDLStd Dev of HDL New drug4046.122.19 Placebo4139.242.47 MenNMean HDLStd Dev of HDL New drug1045.251.89 Placebo939.062.22

Given: Medication A Women N Mean HDL Std Dev of HDL New drug 40 35.47 2.45…

Answered: Researchers are testing two new…

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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Researchers are testing two new cholesterol medications. Medication is given to some males and females and a placebo is given to others. The tables below summarize the resulting HDL cholesterol levels after 8 weeks.

Medication A
Women	N	Mean HDL	Std Dev of HDL
New drug	40	35.47	2.45
Placebo	41	38.42	3.42

Men	N	Mean HDL	Std Dev of HDL
New drug	10	46.19	1.35
Placebo	9	39.06	2.89

Is there evidence of effect modification with medication B? Provide a brief (1-2 sentences) explanation.

Medication B
Women	N	Mean HDL	Std Dev of HDL
New drug	40	46.12	2.19
Placebo	41	39.24	2.47

Men	N	Mean HDL	Std Dev of HDL
New drug	10	45.25	1.89
Placebo	9	39.06	2.22

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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