Question

Problem Set 1: Chi Square Test of Goodness of Fit

Research Scenario: A school social worker at a middle school wants to examine whether there is a difference in the number of children who have experienced bullying in different grades (6^th – 8^th). Assume the total number of children in each grade is about equal. He administers a survey on which students self-report whether or not they have been bullied. He is only interested in the number of “yes” responses from students who report being victims of bullying. He records the frequencies of “yes” answers in the table below.

Using this table, enter the data into a new SPSS data file and run a Chi Square Test of Goodness of Fit to test whether the frequencies of being bullied are equal across the different grades. Remember to weight cases as shown in the presentation. Create a bar chart to show the relationship between the variables.

Grade	Frequency who report being bullied
Sixth Seventh Eighth	73 67 41

1. Paste SPSS output.  

2. Write an APA-style Results section based on your analysis. Include your bar chart as an APA-style figure as demonstrated in the APA writing presentation. This section is the most important! Thank you!

Answer 1

           Case Processing Summary
           Cases
   Valid       Missing       Total
   N   Percent   N   Percent   N   Percent
grade * freq. who report being bullied   3   100.0%   0   .0%   3   100.0%

       grade * freq. who report being bullied Cross tabulation
Count
           freq. who report being bullied
       41   67   73   Total
grade   6   0   0   1   1
   7   0   1   0   1
   8   1   0   0   1
Total       1   1   1   3

   Chi-Square Tests
   Value   df   Asymp. Sig. (2-sided)
Pearson Chi-Square   6.000a   4   .199
Likelihood Ratio   6.592   4   .159
Linear-by-Linear Association   1.770   1   .183
N of Valid Cases   3      
a. 9 cells (100.0%) have expected count less than 5. The minimum expected count is .33.

For the bar chart use the following steps: Graphs>Define variable properties (give label names)>Chart builder> drag bar chart from the gallery ( choose stacked / clustered/ simple bar chart) > choose the variables on X and Y axis> then click Ok