Explore BrainMass

# Two-Way Analysis of Variance

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

An experimenter has investigated the effects of cigarette smoking on learning. Two levels of the smoking variable were used (smoked, did not smoke). There are also two levels of the learning variable (intentional learning and incidental learning).

1) Practice the two-way between-subjects ANOVA on these data.
2) Interpret the main effects and interaction of this experiment.

Please see the attached file for table.

https://brainmass.com/statistics/analysis-of-variance/two-way-analysis-variance-206454

#### Solution Preview

** Please see the attached document for the complete solution **

This is an example of a balanced two-way analysis of variance (ANOVA). By balanced, we mean that each of the cells in the data table have the same number of observations, in this case 5 observations. When the experiment is balanced the hand calculations for the analysis become quite simple.

Rather than working with means, things are simpler if you work with sums. I summed the data for each cell and put it in the table below. On the margins of the table I have shown the row and column totals of the data. In the lower right hand corner of the table, I have shown the sum of all observations in the data set. In this balanced experiment, each cell sum is the sum of 5 observations. Each row and column total is the sum of 10 observations and the grand total is the sum of 20 observations.