This procedure generates a Analysis of Means chart for normal, binomial or Poisson data.
1. Choose ProcessMA > Statistics > ANOVA > Analysis of Means.
2. In Distribution of data, choose a distribution for your data.
· If your data follows a Normal distribution:
- In Response, select the column containing the response.
- In Factor 1, select the column containing the levels for the first factor.
- In Factor 2, select the column containing the levels for the second factor.
· If your data follows a Binomial distribution:
- In Response, select the column containing the response.
- In Sample size, enter a value for the sample size.
· If your data follows a Poisson distribution:
- In Response, select the column containing the response.
3. In Alpha level, enter a value for the error rate.
4. Click OK.
Note To select a column of data into a textbox, double-click on any of the column names shown in the list on the left of the dialog box while in the textbox.
Response: Numeric.
Factor 1: Text or Numeric; Must have the same number of data points as the Response; Must and contain at least 2 distinct categories.
Factor 2: Text or Numeric; Must have the same number of data points as the Response; Must and contain at least 2 distinct categories.
Sample size: Integer.
Alpha level: Numeric; between 0 and 1.
You conducted an experiment to study how well organisms multiple in different temperatures and in the presence of different catalysts. You prepared 18 dishes of organisms and placed them at three different temperatures and added three different types of catalyst. You recorded the number of organism in each dish after 10 days. You want to use the ANOM to identify if there is significant evidence of main and interactions effects.
1. Open worksheet ProcessMA > Tools > Data Files > Stat.xls.
2. Choose ProcessMA > Statistics > ANOVA > Analysis of Means.
3. In Distribution of data, select Normal.
4. In Response, select P – Organism.
5. In Factor 1, select Q – Temperature.
6. In Factor 2, select R – Catalyst.
7. In Alpha level, enter 0.05.
8. Click OK.
Interpretation
The interactions effects are within the decision limits, indicating no significant evidence of interaction. For the main effects, The main effects for level 2 and 3 of Catalyst is outside the decision limits, indicating that these means are different from the grand mean.