Biostats_Workbook Answers_Chi-Square Tests

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Industrial Engineering

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Dec 6, 2023

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Chi-Square: Answers Problem #1: Calculating Chi-Square by Hand Age Cohort Smoking Status Yes No Totals Young Adolescents 5 20 25 Older Adolescents 18 7 25 Total 23 27 50 O E (O-E) (O-E) 2 (O-E) 2 /E A = 5 11.5 -6.5 42.25 3.67 B= 20 13.5 6.5 42.25 3.13 C=18 11.5 6.5 42.25 3.67 D=7 13.5 -6.5 42.25 3.13 Summation This is your 2 value! 13.6 (2-1) x (2-1) = 1 df 3.84 (alpha=0.05, df=1) 13.58 > 3.84, reject the null Age cohort and smoking status are associated ( 2 =13.6, p<0.05). Problem #2: Calculating Chi-Square by Hand
Active Lifestyle Sleep Quality Excellent Excellent Totals Yes 10 7 17 No 15 8 23 Total 25 15 40 O E (O-E) (O-E) 2 (O-E) 2 /E A= 10 10.625 -0.625 0.40 0.038 B= 7 6.375 0.625 0.40 0.063 C= 15 14.375 0.625 0.40 0.028 D= 8 8.625 -0.625 0.40 0.046 Summation This is your 2 value! 0.175 (2-1) x (2-1) = 1 df 3.84 (alpha=0.05, df=1) 3.84 > 0.175, fail to reject the null Sleep quality and lifestyle are not associated ( 2 =0.175, p>0.05). More Practice Now let’s practice running chi-squared test for independence with the data set shared in class. 1. Are gender and color-blind status related? Yes, 2 = 6.27, df=1, p=0.012
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