Two-Way Analysis of Variance for Independent Samples


The logic and computational details of the two-way
ANOVA for independent samples are described in
Chapter 16 of Concepts and Applications.

Procedure:
QNumber of rows in analysis =
QNumber of columns in analysis =
Q



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an unweighted-means analysis. Advice: do
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weighted-means analysis
Data Entry
  Col 1
Col 2
Col 3
Col 4
 Row 1 




 Row 2 




 Row 3 




 Row 4 






Summary Data
Within each box:
  Item 1 = N     Item 2 = X     Item 3 = Mean
  Item 4 = X2     Item 5 = Variance
  Item 6 = Std. Dev.     Item 7 = Std. Err.
  C1
C2
C3
C4
Total
R1





R2





R3





R4





Total





ANOVA Summary    
Source
SS
df
MS
F
P
Rows





Columns





r x c





Error



Total



Critical Values for the Tukey HSD Test
HSD[.05]
HSD[.01]
HSD=the absolute [unsigned] difference between any two means (row means, column means, or cell means) required for significance at the designated level: HSD[.05] for the .05 level; HSD[.01] for the .01 level. The HSD test between row means can be meaningfully performed only if the row effect is significant; between column means, only if the column effect is significant; and between cell means, only if the interaction effect is significant.
Rows


Columns


Cells


 



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