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.

IANOVA (Two-Way)

SDescription

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

SSolution

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}

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