1. Suppose your analysis produced F 2.56 with 5, 75 df. How many treatment groups are in your experiment? What are the critical values for the .05 and .01 levels? What conclusion should you reach?
2. Here are two more questions about those raw numbers you found sums of squares for in problem 1.
a. Perform an F test and compose a summary table. Look up the critical value of F and make a decision about the null hypothesis. Write a sentence explaining what the analysis has shown.
b. Perform an F test using only the data from group 2 and group 3. Perform a t test on these same two groups.
Problem
Emile Durkheim (1858-1917), a founder of sociology, believed that modernization produced social problems such as suicide. He compiled data from several European countries and published Suicide (1897/1951), a book that helped establish quantification in social science disciplines. The data in this problem were created so that the conclusion you reach will mimic that of Durkheim (and present-day sociologists).
On variables such as electricity consumption, newspaper circulation, and gross national product, 13 countries were classified as to their degree of modernization (low, medium, or high). The numbers in the table are annual suicide rates per 100,000 persons. For the data in the table, name the independent variable, the number of levels it has, and the dependent variable. Compute SStot, SStreat and SSerror.
|
Degree of modernization
|
|
Low
|
Medium
|
High
|
|
4
|
17
|
20
|
|
8
|
10
|
22
|
|
7
|
9
|
19
|
|
5
|
12
|
9
|
|
|
|
14
|