Anova (Two-Way); Solution - Casio FX-CG20 AU User Manual

Line 4 (ERR) ..... Error
F
......................
p
.......................
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.
• 1(Trace) or !1(TRACE) ... Trace function
Pressing d or e moves the pointer on the graph in the corresponding direction. When
there are multiple graphs, you can move between graphs by pressing f and c.
• 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 variable A and the
mean value to variable M, respectively.
k ANOVA (Two-Way)
u 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 : No change in strength due to time
o
H : No change in strength due to heat treatment temperature
o
H : No change in strength due to interaction of time and heat treatment temperature
o
u 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}
df SS
value,
F
value
p
-value
B (Heat Treatment Temperature) B (Heat Treatment Temperature)
A (Time) A (Time)
A1 A1
A2 A2
MS
value, value
B1 B1
113 , 113 , 116 116 139 , 139 ,
133 , 133 , 131 131 126 , 126 ,
6-45
B2 B2
132 132
122 122