Casio FX-9750GII-SC User Guide - Page 173

ANOVA Two-Way, Description, Solution

Page 173 highlights

p p-value df degrees of freedom SS sum of squares MS mean squares With Two-Way ANOVA, you can draw Interaction Plot graphs. The number of graphs depends on Factor B, while the number of X-axis data depends on the Factor A. The Y-axis is the average value of each category. You can use the following graph analysis function after drawing a graph. • (Trace) or (TRCE) ... Trace function Pressing B or C moves the pointer on the graph in the corresponding direction. When there are multiple graphs, you can move between graphs by pressing D and A. • Graphing is available with Two-Way ANOVA only. V-Window settings are performed automatically, regardless of Setup screen settings. • Using the Trace function automatically stores the number of conditions to alpha variable A and the mean value to variable M, respectively. I ANOVA (Two-Way) S Description The nearby table shows measurement results for a metal product produced by a heat treatment process based on two treatment levels: time (A) and temperature (B). The experiments were repeated twice each under identical conditions. B (Heat Treatment Temperature) B1 B2 A (Time) A1 113 , 116 139 , 132 A2 133 , 131 126 , 122 Perform analysis of variance on the following null hypothesis, using a significance level of 5%. Ho : No change in strength due to time Ho : No change in strength due to heat treatment temperature Ho : No change in strength due to interaction of time and heat treatment temperature S Solution Use Two-Way ANOVA to test the above hypothesis. Input the above data as shown below. List1={1,1,1,1,2,2,2,2} List2={1,1,2,2,1,1,2,2} List3={113,116,139,132,133,131,126,122} 6-33

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6-33
p
.......................
p
-value
df
.....................
degrees of freedom
SS
.....................
sum of squares
MS
...................
mean squares
With Two-Way ANOVA, you can draw Interaction Plot graphs. The number of graphs depends
on Factor B, while the number of X-axis data depends on the Factor A. The Y-axis is the
average value of each category.
You can use the following graph analysis function after drawing a graph.
(Trace) or
(TRCE) ... Trace function
Pressing
or
moves the pointer on the graph in the corresponding direction. When there
are multiple graphs, you can move between graphs by pressing
and
.
•Graphing is available with Two-Way ANOVA only. V-Window settings are performed
automatically, regardless of Setup screen settings.
• Using the Trace function automatically stores the number of conditions to alpha variable A
and the mean value to variable M, respectively.
ANOVA (Two-Way)
Description
The nearby table shows measurement results for a metal product produced by a heat
treatment process based on two treatment levels: time (A) and temperature (B). The
experiments were repeated twice each under identical conditions.
Perform analysis of variance on the following null hypothesis, using a significance level of 5%.
H
o
: No change in strength due to time
H
o
: No change in strength due to heat treatment temperature
H
o
: No change in strength due to interaction of time and heat treatment temperature
Solution
Use Two-Way ANOVA to test the above hypothesis.
Input the above data as shown below.
List1={1,1,1,1,2,2,2,2}
List2={1,1,2,2,1,1,2,2}
List3={113,116,139,132,133,131,126,122}
B (Heat TreatmentTemperature)
B1
B2
A1
113
,
116
133
,
131
139
,
132
126
,
122
A2
A (Time)
B (Heat TreatmentTemperature)
B1
B2
A1
113
,
116
133
,
131
139
,
132
126
,
122
A2
A (Time)