The eans for the methods, SSA b = Factor A 8 methods, rides, combination of methods and rides, and overall sampl Factor B Roller Coaster Screaming Demon X₁1 = 41 X12 = 48 Х13 = 49 X21 = 51 X22 = 48 X23 = 45 X.₁ = 46 X.₂ = 48 X.₂ = 47 Find the sum of squares for factor A. Recall that factor B has b = 3 levels, there are r = 2 replications for each method and ride combination, and x. represents the sample mean for the method used. Method 1 Method 2 br(x,-)² i=1 = 3(2)((46 - 47)2 + (48 - 47)2) = 12 Means Factor B sample mean are summarized in the table bel Log Flume Factor A SSAB=(x-X-X₁ + X² /1/1 = 2((41-46-46 +47)2+...+(45-48-47 +47)²) = Means Find the sum of squares for factor B. Recall that factor A has a = 2 levels, there are r = 2 replications for each method and ride combination, and x., represents the sample mean for the type of ride. SSB = ar (x,-)² = 2(2)((46-47)2 + (4847)2 + (47-47)²) X₁. = 46 x₂ = 48 * = 47 Finally, find the sum of squares for the interaction of factors A and B. Recall that factor A has a= 2 levels, factor B has b = 3 levels, there are r = 2 replications for each method and ride combination, x, is the sample mean for each method and ride combination, x,. is the sample mean for the method used, and x., represents the sample mean for the type of ride.
The eans for the methods, SSA b = Factor A 8 methods, rides, combination of methods and rides, and overall sampl Factor B Roller Coaster Screaming Demon X₁1 = 41 X12 = 48 Х13 = 49 X21 = 51 X22 = 48 X23 = 45 X.₁ = 46 X.₂ = 48 X.₂ = 47 Find the sum of squares for factor A. Recall that factor B has b = 3 levels, there are r = 2 replications for each method and ride combination, and x. represents the sample mean for the method used. Method 1 Method 2 br(x,-)² i=1 = 3(2)((46 - 47)2 + (48 - 47)2) = 12 Means Factor B sample mean are summarized in the table bel Log Flume Factor A SSAB=(x-X-X₁ + X² /1/1 = 2((41-46-46 +47)2+...+(45-48-47 +47)²) = Means Find the sum of squares for factor B. Recall that factor A has a = 2 levels, there are r = 2 replications for each method and ride combination, and x., represents the sample mean for the type of ride. SSB = ar (x,-)² = 2(2)((46-47)2 + (4847)2 + (47-47)²) X₁. = 46 x₂ = 48 * = 47 Finally, find the sum of squares for the interaction of factors A and B. Recall that factor A has a= 2 levels, factor B has b = 3 levels, there are r = 2 replications for each method and ride combination, x, is the sample mean for each method and ride combination, x,. is the sample mean for the method used, and x., represents the sample mean for the type of ride.
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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Transcribed Image Text:The sample means for the methods, rides, combination of methods and rides, and overall sample mean are summarized in the table below.
SSA = br
Factor A
Factor B
SSB = ar
Method 1
Method 2
Means
= 3(2)((46-47)² + (4847)²)
= 12
SSAB = r
Roller Coaster
X11 = 41
X21 = 51
X.₁
X.₁ = 46
j=1
= 2(2)((46 − 47)² + (48 − 47)² + (47 − 47)²)
= 8
Factor B
b
Σ Ĺ (x₁ - X²
Σ+2
-X.₁ + x)²
Screaming Demon
X12 = 48
X22 = 48
X.2 = 48
Find the sum of squares for factor A. Recall that factor B has b = 3 levels, there are r = 2 replications for each method and ride combination, and x,. represents the sample mean for the method used.
= brĹ (X₁. – ♬)²
-
i=1
Log Flume
X13 = 49
X23 = 45
X.3 = 47
Factor A
Means
Find the sum of squares for factor B. Recall that factor A has a = 2 levels, there are r = 2 replications for each method and ride combination, and x., represents the sample mean for the type of ride.
b
ar (X., - X²
i = 1 j = 1
= 2((41 - 46 - 46 + 47)² + ... + (45 − 48 − 47 + 47)²)
X₁. = 46
x₂ = 48
x = 47
Finally, find the sum of squares for the interaction of factors A and B. Recall that factor A has a = 2 levels, factor B has b = 3 levels, there are r = 2 replications for each method and ride combination, X., is the sample mean for each method and ride
combination, x,. is the sample mean for the method used, and x., represents the sample mean for the type of ride.
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