A institute is working on a study to examine the relationship among two drugs, muscle weights, muscle types and muscle tension. Totally 299 mice are involved in this experiment. Table 1 gives the number of mice that have been injected drug A or drug B (variable 1), that have > 15g or < 15g muscle weight (variable 2), that have stronger skeletal muscle or stronger smooth muscle (variable 3), and that have high change or low change in muscle tension after drug injection (variable 4).

Table 1 : Cross-classification of a sample of 299 mice from a study to examine therelationshipamongtwodrugs,muscleweight,muscletypeandmuscletension

Drug	Muscleweight	Muscletype	Highchangein muscletension	Lowchangein muscletension
A	15g	Skeletal	3	3
Smooth	23	41
<15g	Skeletal	22	45
Smooth	4	6
B	15g	Skeletal	21	10
Smooth	11	21
<15g	Skeletal	32	23
Smooth	12	22

Using R or any other method you prefer, calculate the likelihood ratio good-ness of fit statisticsG²for all log-linear models that are listed in the Table 2below andfindtheirdegreeoffreedomandp-values.[Note:forp-valueslessthan0.001youdonotneedtoprovideanumber,justwrite<0.001].

Table2:LikelihoodratiotestsstatisticsG²foranumberofmodels.

Model G² d.f. p-value

[1][2][3][4]	?	?	?
'AllTwo-way'	?	?	?
[14][24][34][123]	?	?	?
[13][23][34][124]	?	?	?
[12][23][24][134]	?	?	?
[12][13][14][234]	?	?	?
[34][123][124]	?	?	?
[24][123][134]	?	?	?
[14][123][234]	?	?	?
[123][124][134]	?	?	?
[123][134][234]	?	?	?
'AllThree-way'	?	?	?