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Consider the following partially completed ANOVA table from the analysis of a fa

ID: 3274016 • Letter: C

Question

Consider the following partially completed ANOVA table from the analysis of a factorial design.

Source

SS

df

MS

  F

Rows

3

0.75

Columns

0.95

1

Interaction

0.3

Error

Total

6.5

23


The observed F-value for the columns is:

0.04

4

0.2375

0.95

A Tukey-Kramer test:

None of the above answers are correct.

is used when the null hypothesis is not rejected.

identifies which pairs of variables are different in a 1-way ANOVA.

is used to determine if two variables are independent.

Source

SS

df

MS

  F

Rows

3

0.75

Columns

0.95

1

Interaction

0.3

Error

Total

6.5

23

Explanation / Answer

From the given data,

The ANOVA Table is

F-value of Column is 6.333

Tukey-Kramer test : is used when the null hypothesis is not rejected.

Correct Answer: Option (B)

Source Sum of square df mean Square F Rows 2.25 3 0.75 5 Columns 0.95 1 0.95 6.333333 Interaction 0.9 3 0.3 2 Error 2.4 16 0.15 Total 6.5 23