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The sample means for the methods, rides, combination of methods and rides, and overall sample mean are summarized in the table below. Factor A Factor B The given data follow. Method 1 Method 2 Method 1 Method 2 Means 40 Type of Ride Roller Coaster Screaming Demon Log Flume 42 50 52 Roller Coaster Screaming Demon X11 = 41 X12 = 48 X21 = 51 X22 = 48 X.₁=46 X₂ = 48 52 SST-(-² /-1/-1k-1 - ≤ ≤ ≤ (x-7)² /-1/-1K-1 = (4047)² + + (46-47)² =124 X 44 Factor B 53 43 51 47 44 46 Log Flume X13 = 49 X23 = 45 Xig = 47 Factor A Means x₁ = 46 x₂ = 48 X=47 With these sample means known, the sum of squares values can be found. 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 observation for the kth replicate from = treatment I of factor A and treatment j of factor B and is the overall sample mean. Find the total sum of squares, SST.

The sample means for the methods, rides, combination of methods and rides, and overall sample mean are summarized in the table below. Factor A Factor B The given data follow. Method 1 Method 2 Method 1 Method 2 Means 40 Type of Ride Roller Coaster Screaming Demon Log Flume 42 50 52 Roller Coaster Screaming Demon X11 = 41 X12 = 48 X21 = 51 X22 = 48 X.₁=46 X₂ = 48 52 SST-(-² /-1/-1k-1 - ≤ ≤ ≤ (x-7)² /-1/-1K-1 = (4047)² + + (46-47)² =124 X 44 Factor B 53 43 51 47 44 46 Log Flume X13 = 49 X23 = 45 Xig = 47 Factor A Means x₁ = 46 x₂ = 48 X=47 With these sample means known, the sum of squares values can be found. 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 observation for the kth replicate from = treatment I of factor A and treatment j of factor B and is the overall sample mean. Find the total sum of squares, SST.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Step 4 The sample means for the methods, rides, combination of methods and rides, and overall sample mean are summarized in the table below. The given data follow. SST = = Factor A = Factor B = Method 1 Method 2 Method 1 Method 2 Means Roller Coaster 40 b ĹĹĹ (Xµk - ¯)² i=1j = 1k = 1 42 50 52 Roller Coaster X₁1 = 41 11 X21 = 51 X.₁ = 46 2 3 2 ≤ ≤ ≤ (xijk - 7)² i=1j = 1 k=1 (4047)² + ... + (46-47)² 124 X 52 Type of Ride Screaming Demon 44 53 Factor B 43 Screaming Demon X12 X22 = 48 = 48 X+₂ X.₂ = 48 Log Flume 51 47 44 46 Log Flume X13 x With these sample means known, the sum of squares values can be found. 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, Xijk is the observation for the kth replicate from treatment I of factor A and treatment j of factor B and is the overall sample mean. Find the total sum of squares, SST. = 49 X23 = 45 X.3 = 47 Factor A Means x₁ = 46 x₁. X₂. = 48 = 47
Transcribed Image Text:Step 4 The sample means for the methods, rides, combination of methods and rides, and overall sample mean are summarized in the table below. The given data follow. SST = = Factor A = Factor B = Method 1 Method 2 Method 1 Method 2 Means Roller Coaster 40 b ĹĹĹ (Xµk - ¯)² i=1j = 1k = 1 42 50 52 Roller Coaster X₁1 = 41 11 X21 = 51 X.₁ = 46 2 3 2 ≤ ≤ ≤ (xijk - 7)² i=1j = 1 k=1 (4047)² + ... + (46-47)² 124 X 52 Type of Ride Screaming Demon 44 53 Factor B 43 Screaming Demon X12 X22 = 48 = 48 X+₂ X.₂ = 48 Log Flume 51 47 44 46 Log Flume X13 x With these sample means known, the sum of squares values can be found. 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, Xijk is the observation for the kth replicate from treatment I of factor A and treatment j of factor B and is the overall sample mean. Find the total sum of squares, SST. = 49 X23 = 45 X.3 = 47 Factor A Means x₁ = 46 x₁. X₂. = 48 = 47
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