Question

In: Statistics and Probability

find the expected count and the contribution to the chi square statistic for the (control, strongly...

find the expected count and the contribution to the chi square statistic for the (control, strongly agree) cell i. yhe two way table below
st agr. agr. neu. dis. str dis
cont 36. 48. 4. 15. 12
treat. 55. 41. 8. 4. 1

Solutions

Expert Solution

str agr. agr. neu. dis. str dis Totals
cont. 36=f11 48=f12 4=f13 15=f14 12=f15 36+48+4+15+12=115=f10
treat. 55=f21 41=f22 8=f23 4=f24 1=f25 55+41+8+4+1=109=f20
Totals 91=f01 89=f02 12=f03 19=f04 13=f05 224=N

str agr. agr. neu. dis. str dis.
cont. 115*91/224=46.7188 115*89/224=45.6920 115*12/224=6.1607 115*19/224=9.7545 115*13/224=6.6741
treat. 109*91/224=44.2813 109*89/224=43.3080 109*12/224=5.8393 109*19/224=9.2455 109*13/224=6.3259

str. agr agr. neu. dis. str. dis.
cont. (36-46.7188)^2/46.7188=2.4592 (48-45.6920)^2/45.6920=0.1166 (4-6.1607)^2/6.1607=0.7578 (15-9.7545)^2/9.7545=2.8208 (12-6.6741)^2/6.6741=4.2500
treat. (55-44.2813)^2/44.2813=2.5946 (41-43.3080)^2/43.3080=0.1230 (8-5.8393)^2/5.8393=0.7995 (4-9.2455)^2/9.2455=2.9761 (1-6.3259)^2/6.3259=4.4840

the expected count for the (control, strongly agree) =46.7188

the contribution to the chi square statistic for the (control, strongly agree) cell=2.4592


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