Suppose that, as a researcher, you're interested in the possible interplay between age and face recognition. You choose a number of participants for an experiment, with each participant coming from one of several (predetermined) age groups. Your goal is to decide if there is a difference in performance, based on age group, in a particular face-recognition task. You let each participant examine a collection of 35 photographs of faces of college students. You then test the participant by presenting, on a computer display and one at a time, a sequence of 70 faces (the familiar ones and others). You ask the participant to identify each presented face as being either part of the original collection or not part of the original collection. The variable you examine is the total time (in seconds) that each participant takes to make all 70 of her responses. You perform a one-way, independent-samples ANOVA test of the hypothesis that there is no difference in the mean total response times among the populations of age groups studied. (a) This ANOVA test is summarized in the ANOVA table below. Fill in the missing cell of this ANOVA table. (Round your answer to at least two decimal places.) Source of Degrees of Sum of variation freedom squares Mean square F statistic Between 5 250.79 50.16 groups 0 Error (within groups) Total 78 3032.90 38.88 83 3283.69 (b) How many age groups were examined? 0 5 (c) For the ANOVA test, it is assumed that the population variance of total response times is the same for each age group. What is an unbiased estimate of this common population variance based on the sample variances? G (d) Using the 0.01 level of significance, what is the critical value of the F statistic for the ANOVA test? Round your answer to at least two decimal places. X (e) Can you conclude, using the 0.01 level of significance, that at least one of the population mean total response times differs from the others? Yes No X

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 that as a researcher, you’re interested in the possible interplay between age and face recognition. You choose a number of participants for a experiment which each participant coming from one of several predetermined age groups. Your goal is to decide if there is a difference in performance based on age group, and a particular face recognition task. you let each participant examine a collection of 35 photographs of faces of college students. You then test the participant by presenting on a computer display one out at a time, a sequence of 70 faces (the familiar ones and others). You ask the participant to identify each presented face as being either part of the original collection, or not part of the original collection. The variable you examine is the total time (and seconds) that each participant takes to make all 70 of her responses. —