Answered: ) Compute the proportion of variance…

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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Sociodemographic differences in lung cancer worry. Hahn (2017) evaluated sociodemographic differences in how people worry about lung cancer. Some of the differences observed across demographic of interest were between males and females [t[45]=0.69; higher mean worry among men], smokers and nonsmokers [t[45]=2.69; higher mean worry among smokers]. However, at least one of these results were not statistically significant. Use the information provided to state which t test or t test did not reach the .05 level of significance in this study.

(a) Compute the proportion of variance using omega-squared.

(b) Suppose the pooled sample standard deviation for this test is 0.74. Using this value, compute estimated Cohen's d.

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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