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Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

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Chapter
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BuyFindarrow_forward

Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

The following data represent the typical results from a delayed discounting study. The participants are asked how much they would take today instead of waiting for a specific delay period to receive $1000. Each participant responds to all 5 of the delay periods. Use a repeated-measures ANOVA with α= .01 to determine whether there are significant differences among the 5 delay periods for the following data:

Participant

1

month

6

months

1

year

2

years

5

years

A 950 850 800 700 550
B 800 800 750 700 600
C 850 750 650 600 500
D 750 700 700 650 550
E. 950 900 850 800 650
F 900 900 850 750 650

To determine
Using a repeated measure ANOVA with α=0.01 to determine whether there are significant differences among the 5 delay periods for the following data:

Explanation

Given info:

Participant 1 month 6 months 1 year 2 years 5 years Person total
A 950 850 800 700 500 P=3850
B 800 800 750 700 600 P=3650
C 850 750 650 600 500 P=3350
D 750 700 700 650 550 P=3350
E 950 900 850 800 650 P=4150
D 900 900 850 750 650 P=4050
  T=5200M=866.67SS=33333.34 T=4900M=816.67SS=33333.34 T=4600M=766.67SS=33333.34 T=4200M=700SS=25000 T=3500M=583.38SS=18333.34 n=6k=5N=30G=22400X2=17160000

Calculation:

Stage (1) of repeated ANOVA measure

SStotal=X2G2N=1716000(22400)230

And,

SStotal=434666.67dftotal=NL=25

Within treatments:

SSwithintratments=SSinsideeachtreatment=33333.34+33333.34+33333.34+25000+18333.34=143333.36

And,

dfwithintratments=dfinsideeachtreatment=5+5+5+5+5=25

Between treatments:

For this example, find SSbetweentreatment by subtraction

SSbetweentreatment=SStotalSSwithintreatment=434666.6714333336=291333

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