A researcher wants to determine if having a visible tattoo can significantly lower the attractiveness rating of an individual. In the study, a sample of n = 5 looked at a set of 30 photographs and rated the attractiveness of each individual using a 10-point scale (10 = most attractive). One photograph appears twice in the set, once with a tattoo and once with the tattoo removed. The results are shown below. Use a repeated-measures ANOVA with a = 0.05 to determine whether the mean difference between treatments is significant. Fcrit = 9.60 Participant No Tattoo With Tattoo A 8 6 B 3 8 C 6 1 D 7 8 E 6 7 Source SS df MS F Between Treatments Within Treatments NA NA Between Subjects Error Total NA

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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A researcher wants to determine if having a visible tattoo can significantly lower the attractiveness rating of an individual. In the study, a sample of n = 5 looked at a set of 30 photographs and rated the attractiveness of each individual using a 10-point scale (10 = most attractive). One photograph appears twice in the set, once with a tattoo and once with the tattoo removed. The results are shown below. Use a repeated-measures ANOVA with a = 0.05 to determine whether the mean difference between treatments is significant. F_crit = 9.60

Participant No Tattoo With Tattoo

A 8 6

B 3 8

C 6 1

D 7 8

E 6 7

Source	SS	df	MS	F
Between Treatments
Within Treatments			NA	NA
Between Subjects
Error
Total			NA

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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