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me until the person pr is to determine wheth the experiment. To e persons participated in as measured for each c

me until the person pr is to determine wheth the experiment. To e persons participated in as measured for each c

MATLAB: An Introduction with Applications
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 wish to compare the reaction times of people exposed to six different stimuli. A reaction time measurement is obtained by subjecting a person to a stimu- lus and then measuring the time until the person presents some specified reaction. The objective of the experiment is to determine whether differences exist in the reaction times for the stimuli used in the experiment. To eliminate the person-to-person vari- ation in reaction time, four persons participated in the experiment and each person's reaction time (in seconds) was measured for each of the six stimuli. The data are given in Table 15.10 (ranks of the observations are shown in parentheses). Use the Fried- man F₁-test to determine whether the data present sufficient evidence to indicate dif- ferences in the distributions of reaction times for the six stimuli. Test using a = .05. Reaction Times to Six Stimuli Subject 1 2 3 4 Rank Sum 1 .6 (2.5) .7 (3.5) .9 (3) .5 (2) T₁ = = 11 2 .9 (6) 1.1 (6) 1.3 (6) .7 (5) T₂ = 23 Stimulus 3 .8 (5) .7 (3.5) 1.0 (4.5) .8 (6) T3 = 19 4 .7 (4) .8 (5) 1.0 (4.5) .6 (3.5) T4 = 17 5 .5 (1) .5 (1.5) 7 (1) .4 (1) T5 = = 4.5 6 .6 (2.5) .5 (1.5) .8 (2) .6 (3.5) = 9.5 T6 =
Transcribed Image Text:Suppose you wish to compare the reaction times of people exposed to six different stimuli. A reaction time measurement is obtained by subjecting a person to a stimu- lus and then measuring the time until the person presents some specified reaction. The objective of the experiment is to determine whether differences exist in the reaction times for the stimuli used in the experiment. To eliminate the person-to-person vari- ation in reaction time, four persons participated in the experiment and each person's reaction time (in seconds) was measured for each of the six stimuli. The data are given in Table 15.10 (ranks of the observations are shown in parentheses). Use the Fried- man F₁-test to determine whether the data present sufficient evidence to indicate dif- ferences in the distributions of reaction times for the six stimuli. Test using a = .05. Reaction Times to Six Stimuli Subject 1 2 3 4 Rank Sum 1 .6 (2.5) .7 (3.5) .9 (3) .5 (2) T₁ = = 11 2 .9 (6) 1.1 (6) 1.3 (6) .7 (5) T₂ = 23 Stimulus 3 .8 (5) .7 (3.5) 1.0 (4.5) .8 (6) T3 = 19 4 .7 (4) .8 (5) 1.0 (4.5) .6 (3.5) T4 = 17 5 .5 (1) .5 (1.5) 7 (1) .4 (1) T5 = = 4.5 6 .6 (2.5) .5 (1.5) .8 (2) .6 (3.5) = 9.5 T6 =
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