I anova (two-way), S description, S solution – Casio FX-9750GII User Manual

Page 173

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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

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.

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

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}

B (Heat Treatment Temperature)

B1

B2

A1

113 ,

116

133 ,

131

139 ,

132

126 ,

122

A2

A (Time)

B (Heat Treatment Temperature)

B1

B2

A1

113 ,

116

133 ,

131

139 ,

132

126 ,

122

A2

A (Time)

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