Question

Write the ANOVA table for an experiment with 2 independent variables. Label the IVs A & B. A has 3 levels, and B has 4 levels. There are 10 participants in each group. Remember the table has these columns:

                              df                                df                                df

Source              formula                         (calc)

Lastly, imagine that the F test for IV A is significant where the F-value is 7.89 and the p value is .032. Call the A variable sleep deprivation. Write the Results section sentence that identifies this effect, including the F-test result.

Answer 1

Answer:

Given Data

an experiment with 2 independent variables.

A has 3 levels, and B has 4 levels.

There are 10 participants in each group.

This is a 3×4 design and each group has 10 participants.

Therefore, Total number of observations = N = 3×4×10 = 120.

The ANOVA table is constructed as follows:

Source	df (formula)	df (Calc)	df
A	a - 1	3 - 1	2
B	b - 1	4 - 1	3
Error	N - a - b + 1	120-3-4+1	114
Total	N - 1	120 - 1	119

Now , critical F - value for testing the effect of

A = F value = 7.89

If the observed value of F ratio for  IV A is , the result will be .

> 7.89

We conclude that the effect of A is  significant.

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