# Class_5 - Crosstabulation Describing Association To what...

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Crosstabulation Crosstabulation

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Describing Association To what extent are two variables, X and Y , related? We begin with the concept of statistical independence
Room Temperature Mean Exam Score 72 75 72 98 72 85

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Room Temperature Mean Exam Score 72 75 85 70 98 65
An ideal measure of association would have a value of 0.0 when there is no association and a value of ±1.0 when there is perfect ( direct or inverse ) association. |————|————| -1.0 0.0 + 1.0

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Unfortunately, x 2 doesn’t have this property. Instead, it varies as follows: | 0.0 +

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Twenty high school seniors on a survey were asked two questions: (1) whether they were male or female; and (2) whether they planned to attend a four-year college immediately upon graduation. The separate answers were: Male = 11, Female = 9    Yes = 6, No = 14

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Observed Frequencies Gender Male Female Total College Yes 4 2 6 Plans No 7 7 14              Total 11 9 20
Expected Frequencies Gender Male Female Total College Yes 3.3 2.7 6 Plans No 7.7 6.3 14              Total 11 9 20

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• Fall '07
• Velez
• Statistics, Spearman's rank correlation coefficient, Statistical dependence, ij ij ij, DF Value Prob

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