Question
The data below are lab report scores for a group of science students in a University chemistry class. They performed three different experiments on three different days. We will perform a One-Way Analysis of Variance (ANOVA) on this data. To do this, you must enter the data into three columns into an Excel spreadsheet that you have previously installed Megastat as add-in.
Lab 1 Lab 2 Lab 3
15 14 14.5 15 13.5 14.3 14.3 9 11.7
14.3 14.3 14.3 14.3 9 11.7 14.3 14.3 14.3
14.7 14.4 14.6 13.5 15 14.3 14.3 14.3 14.3
14.9 14.3 14.6 14.3 13.7 14 15 14.3 14.7
15 14.9 15 15 14.4 14.7 15 14.9 14.9
12.5 15 13.8 14.7 14.7 14.7 15 12.8 13.9
15 14.3 14.6 12.8 13.5 13.1 14.3 13.5 13.9
14.3 13.5 13.9 14.4 13.3 13.8
From Megastat select hypothesis test, then Analysis of Variance, then One-Factor ANOVA. A box appears. Place the cursor inside the space that says input range. Then go to the data and scroll all 3 columns from top to bottom including the headings. Under Post-Hoc Analysis check “when p < 0.05. Check plot data, then click OK.
Based on the output, can we conclude at the 5% level of significance that at least one of the populations is different? In this exercise how did you formulate the null and alternate hypothesis? Why do we perform the Post-Hoc Analysis? Describe the requirements that must be met before an ANOVA test may be used. Discuss what the researcher must do if one of these requirements is not met. Why is the F distribution important?
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