Assignment #9 ANOVA

1. You administer an instrument to 9 people that measures religiosity on a scale from 0 to 100. The results are as follows:

Religion: Rel. Score

Catholic 80

Catholic 70

Catholic 90

Protestant 50

Agnostic 10

Agnostic 20

Agnostic 30

Calculate a one-way ANOVA on this data and interpret your results.

2. You survey a series of organizations and record the organization type (religious, civic, or social welfare), the size of the community in which the organization is located (large or small), and the income of the chairperson of the board in thousands of dollars. Using a two-way anova with income as the dependent variable, you obtain the following results from STATA. Interpret your output.

			   Number of obs =      30     R-squared     =  0.6285  
                           Root MSE      = 4.52261     Adj R-squared =  0.5511  
                                                                                
                  Source |  Partial SS    df       MS           F     Prob > F  
              -----------+----------------------------------------------------  
                   Model |  830.618641     5  166.123728       8.12     0.0001  
                         |                                                      
                    size |  330.672003     1  330.672003      16.17     0.0005  
                    type |  355.850657     2  177.925328       8.70     0.0014  
               size*type |  144.095981     2  72.0479906       3.52     0.0456  
                         |                                                      
                Residual |  490.895939    24  20.4539974                        
              -----------+----------------------------------------------------  
                   Total |  1321.51458    29  45.5694683

3. A & D problem 20.3. Interpret.

4. Using lowbw.dta, run a two-way anova with an interaction term predicting birth weight (bwt) from race and whether or not the mother smoked during pregnancy (smoke). Interpret your results.