Goodness Of Fit Test – Activity #6

Class Activity #6  – Chapter 17 –Chi Square – Hybrid Methods II
Circle One:      Monday                       Wednesday                             Friday
Your Names (Print) _____________________________________________________________ _____________________________________________________________________________
Have you ever wondered about the colors of your wardrobe? Do you think various colors occur in equal proportion, or are there more of one color than the others? Let’s find out! I suggest having groups of at least four people for this activity. You can do hand-calculation or run the test in SPSS. If you choose to run the test in SPSS, you should enter the color variable into SPSS and skip question #4 & 7.

  1. Which chi-square test should you use, goodness of fit or test of independence? Why?

 
 

  1. What is the total number of clothes for your group? (Hint: each of you will randomly pick 10 clothes from your wardrobe)

 
 

  1. Complete the table below:
    1. For Observed column., count your Number Observed for EACH color of clothing for your group.
    2. In Expected column., tell me the number of EACH color you would expect from your group (combine all group members). To calculate this, divide your group’s Total clothing count (from #2) by the number of color categories. For example, if your group has 40 Total clothing in question 2, then you would expect 40/6 = 6.67 clothing of each color). Don’t round up your number to an integer.

 

Color Observed (O) Expected (E)
Red    
Blue    
Yellow    
Green    
Black/White/Grey    
Others    
Total    

 
 

  1. (skip if you run your test in SPSS) For the Chi Square test, we compare our “Expectations” to our “Observations”. Complete the chart below for YOUR group’s data from 3

 

Color Observed (O) Expected (E) O – E (O – E)2 (O – E)2 / E
Red          
Blue          
Yellow          
Green          
Black/White/Grey          
Others          
Total          

 

  1. What is your degree of freedom for your Clothing data?

 

  1. What is your obtained value of χ2? That is, what is ∑(O – E)2/E?

 
 
 

  1. (Skip if you run your test in SPSS) According to Salkind, page 412, the critical value (the value you must overcome based on the chi square table in) is 11.07 for p < .05 and 15.09 for p < .01. Is the obtained value you found in #6 more or less than the critical values? Is you chi-square result significant?

 
 

  1. Write up your results as you would see them in a journal style article (Hint: run a descriptive in SPSS for the count and percentage or do hand-calculation)

 
We ran a _____________________ to determine whether there were equal number of clothing of each color in the group wardrobe. The  level is set at .05. The result is _____________, χ2(  ) = ­­_____, p ________. There were ___(   %) red, ___(   %) blue, ___ (   %) yellow, ____(   %) green, ____(   %) black/white/grey, and ____(   %) of other color in our sample. In other words, the color of the clothing _________ evenly distributed.
 

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