Question

JMP a cat- Contingency Analysis of Mosaic Plot distribu- In the Freq: Count ons are Contingency Table values. dent. Gender Girls Mosaic Plot Count Boys Total % Col % Row 96 ! More Total Count Total % Col% Ne 732 671 1403 37.23 3413 71.36 76.01 66.90 52.17 4783 OTTo200 at you ic that Never106140 246 5.39 7.12 12.5 11.01 13.96 43.09 56.91 125 192 317 6.36 9.77 1612 12.98 19.14 3943 60.57 963 1003 1966 48.98 51.02 Once t you that Underl Total ols. es with Total Tests 4Tests DF -Loglike RSquare (U) 2 10.410814 0.0076 nent in Test Likel Pea 1966 ChiSquare Prob>Chisq Test Likelihood Ratio 20.822 <.0001 20.707 <.0001 Pearson Computer output, Exercises 9.25 and 9.27 FIGU as ant 9.2 9.2 Goodness of Fit ompute expected counts a null hypothe its hu

Use the figure to find the joint distribution, the two marginal distribution, and the conditional distribution. Which conditional distribution do you prefer to explain the result of your analysis? give a reason for your answer.

Answer 1

	boys	girls
more	732	671	1403
never	106	140	246
once	125	192	317
	963	1003	1966
joint
	boys	girls
more	0.37	0.34	0.71
never	0.05	0.07	0.13
once	0.06	0.10	0.16
	0.49	0.51	1.00
marginal
Gender	p
Boys	0.49
Girls	0.51
	1.00
Times
more	0.71
never	0.13
once	0.16
	1.00
conditional
Times given gender
	given boy			given girl
more	0.76		more	0.67
never	0.11		never	0.14
once	0.13		once	0.19
	1.00			1.00
Gneder given Times
given More	Boys	Girls
	0.52	0.48
given Never	Boys	Girls
	0.43	0.57
given Once	Boys	Girls
	0.39	0.61

Formulas in Excel

	boys	girls
more	732	671	=B2+C2
never	106	140	=B3+C3
once	125	192	=B4+C4
	=SUM(B2:B4)	=SUM(C2:C4)	=SUM(D2:D4)
joint
	boys	girls
more	=B2/1966	=C2/1966	=B9+C9
never	=B3/1966	=C3/1966	=B10+C10
once	=B4/1966	=C4/1966	=B11+C11
	=SUM(B9:B11)	=SUM(C9:C11)	=SUM(D9:D11)
marginal
Gender	p
Boys	=B12
Girls	=C12
	=B16+B17
Times
more	=D9
never	=D10
once	=D11
	=SUM(B20:B22)
conditional
Times given gender
	given boy			given girl
more	=B2/963		more	=C2/1003
never	=B3/963		never	=C3/1003
once	=B4/963		once	=C4/1003
	=SUM(B27:B29)			=SUM(E27:E29)
Gneder given Times
given More	Boys	Girls
	=B2/1403	=C2/1403
given Never	Boys	Girls
	=B3/246	=C3/246
given Once	Boys	Girls
	=B4/317	=C4/317