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Final

EXAM REVIEW CHI SQUARE.doc

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Department
Psychology
Course
PSYB07H3
Professor
Douglas Bors
Semester
Fall

Description
AFTER MIDTERM EXAM NOTES CHI SQUARE (χ )2 Example 1: Classifying yourself as studious or not Yes No Total 58 42 100 Studious Yes No Total e d h a Yes 12 18 30 R a a e dNo 46 24 70 Total 58 42 100 Does reading ahead make a difference? Independence? Example 2 (One variable): Choice of PSYA01 Sections L01 L02 L03 L30 Total 25 40 15 36 116 Is this more than a chance difference? 2 2 (O − E) χ = ∑ E O=the observed frequency in a category E=the expected frequency in that category Expected Mean (E) = 29 -if you don’t square it, it will end up being zero -a mean allows us to compare totals  does it have a probability of less than 0.05? -cannot get a negative number We may expect different categories to have the same frequency if chance alone is at work. 2 2 2 2 (2 − 2 )5 4 − 2 )0 91 − 2 5 (3 − 2 )6 9 = + + + 2 9 2 9 2 9 2 9 = .55 + 4.17 + 6.79 +1.69 = 13.17 df = k-1 = 4-1 = 3  the # of conditions that you have Is this significant? Go to t table and look up χ (3) = 7.82 at α = 0.05 -7.82 on the χ table is the same as 1.96 on the z table but 7.82 is corrected for degrees of freedom 13.17>7.82 therefore  reject null hypothesis THEREFORE, χ must be > critical number to reject null hypothesisExample 2 (Two variables): Is there a relationship between gender and career choice? -contingency table  contingency is another word for possibility Therefore,
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