Suppose you are a researcher for a clinical trial testing a new antidepressant drug called Joyzepam. In order to determine the new drugʻs effectiveness, this study compares Joyzepam to two other conditions. One is a Placebo (i.e., a non-active drug) and the other is an existing antidepressant / anti-anxiety drug called Anxifree. A collection of 18 participants (N = 18) with moderate to severe depression are recruited for your initial testing and randomly assigned to one of the three conditions (Joyzepam, Anxifree, or Placebo) with six participants (N = 6) in each condition. A psychologist then assesses the mood of each person after a 3 month period on their respective drug and the overall improvement in each person’s mood is assessed on a scale ranging from -5 (mood decreased) to +5 (mood increased), with a score of zero (0) indicating no mood change. Using "mood.gain" as your dependent variable and "drug" as your independent variable, conduct a One-Way, Between Subjects ANOVA, at alpha = 0.05, to see if participants mood ratings are significantly different between the three drug groups being compared. Identify the correct alternative hypothesis A. The mean mood change for anxifree is significantly different from the mean mood change of placebo B. The mean mood change for joyzepam is significantly different from the mean mood change of placebo C. At least one mean mood change is different from at least one other mean mood change between the three different types of drugs being tested D. The mean mood change for joyzepam is significantly different from the mean mood change of anxifree

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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Suppose you are a researcher for a clinical trial testing a new antidepressant drug called Joyzepam. In order to determine the new drugʻs effectiveness, this study compares Joyzepam to two other conditions. One is a Placebo (i.e., a non-active drug) and the other is an existing antidepressant / anti-anxiety drug called Anxifree. A collection of 18 participants (N = 18) with moderate to severe depression are recruited for your initial testing and randomly assigned to one of the three conditions (Joyzepam, Anxifree, or Placebo) with six participants (N = 6) in each condition. A psychologist then assesses the mood of each person after a 3 month period on their respective drug and the overall improvement in each person’s mood is assessed on a scale ranging from -5 (mood decreased) to +5 (mood increased), with a score of zero (0) indicating no mood change. Using "mood.gain" as your dependent variable and "drug" as your independent variable, conduct a One-Way, Between Subjects ANOVA, at alpha = 0.05, to see if participants mood ratings are significantly different between the three drug groups being compared.

Identify the correct alternative hypothesis

A. The mean mood change for anxifree is significantly different from the mean mood change of placebo
B. The mean mood change for joyzepam is significantly different from the mean mood change of placebo
C. At least one mean mood change is different from at least one other mean mood change between the three different types of drugs being tested
D. The mean mood change for joyzepam is significantly different from the mean mood change of anxifree

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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