Suppose you are interested in the relationship between a person's age and the amount of community activism in which he or she is involved. You randomly select 12 people from each of three different age categories and ask each person to estimate the number of hours spent engaged in any type of community activism or volunteer activity during the past 30 days (X¡). You obtain the following data summary from your investigation: Age Group 18-30 31-50 Over 50 EX; = 65 Σχ339 Σχ? 367ΣΧ? = 289 ΣΧ 63 ΣΧ57 In the following questions you will practice using the formulas from the text to calculate the main components of an ANOVA. According to the summary data table, the total sample size is N = and the overall mean is X = The three category means are X1 v,X2 = and X3 Calculate the sum of squares total (SST), the sum of squares between (SSB), and the sum of squares within (SSW) this data set. SST = SSB = SSW =

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2. Sum of squares
Suppose you are interested in the relationship between a person's age and the amount of community activism in which he or she is involved. You
randomly select 12 people from each of three different age categories and ask each person to estimate the number of hours spent engaged in any
type of community activism or volunteer activity during the past 30 days (X¡). You obtain the following data summary from your investigation:
Age Group
18-30
31-50
Over 50
ΣΧ-63
ΣΧ65
ΣΧ57
Ex?
= 339
ΣΧ367
EX = 289
||
In the following questions you will practice using the formulas from the text to calculate the main components of an ANOVA.
According to the summary data table, the total sample size is N =
and the overall mean is X =
The three category means are X1
,X2
and X3
=
%3D
Calculate the sum of squares total (SST), the sum of squares between (SSB), and the sum of squares within (SSWW) this data set.
SST =
SSB =
SSW =
Transcribed Image Text:2. Sum of squares Suppose you are interested in the relationship between a person's age and the amount of community activism in which he or she is involved. You randomly select 12 people from each of three different age categories and ask each person to estimate the number of hours spent engaged in any type of community activism or volunteer activity during the past 30 days (X¡). You obtain the following data summary from your investigation: Age Group 18-30 31-50 Over 50 ΣΧ-63 ΣΧ65 ΣΧ57 Ex? = 339 ΣΧ367 EX = 289 || In the following questions you will practice using the formulas from the text to calculate the main components of an ANOVA. According to the summary data table, the total sample size is N = and the overall mean is X = The three category means are X1 ,X2 and X3 = %3D Calculate the sum of squares total (SST), the sum of squares between (SSB), and the sum of squares within (SSWW) this data set. SST = SSB = SSW =
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