Solution to Example9. 1 population critical interval of T locations of survival time of 065(58 both cat and ra bbit are equal 110),T=127.5, is beyond of T H,: Mi# M2 population locations S0,P<u, Given o=0.05,P<0.05 of survival time of both cat and Ho is rejected, it concludes that the rabbit are not equal survival times of cats and a=0.05 rabbits in the environment Sorting and ranking calculate 2 Rank sums of 2 groups. Take without oxygen might be the li wIth small as T different n1=8<n2=12,s0T=T1=127.5
Solution to Example9.1 ◼ H0 ： M1=M2 population locations of survival time of both cat and rabbit are equal H1： M1 ≠ M2 population locations of survival time of both cat and rabbit are not equal ； a = 0.05 ◼ Sorting and ranking, calculate 2 Rank sums of 2 groups. Take the Ti with small n as T. n1=8<n2=12, so T= T1 =127.5. ◼ critical interval of T0.05 (58- 110),T=127.5, is beyond of Tα , so, P≤α, Given α=0.05, P<0.05; H0 is rejected, it concludes that the survival times of cats and rabbits in the environment without oxygen might be different. 6
Basic logics of scientific research ■ To find the difference To find the correlation
Basic logics of scientific research ◼ To find the difference ◼ To find the correlation
Contents ■| inear Correlation ■ Rank correlation simple linear regression
Contents ◼ linear Correlation ◼Rank correlation ◼ simple linear regression 8 N +1
Correlations in medicine Drinking a glass of red wine per day may decrease your chances of a heart attack a Taking one aspirin per day may decrease your chances of stroke or of a heart attack Eating lots of certain kinds of fish may improve your health and make you smarter a Pregnant women that smoke tend to have low birthweight abies a Taller people tend to weigh more a Animals with large brains tend to be more intelligent The more you study for an exam, the higher the score you are likely to receive
Correlations in medicine ◼ Drinking a glass of red wine per day may decrease your chances of a heart attack. ◼ Taking one aspirin per day may decrease your chances of stroke or of a heart attack. ◼ Eating lots of certain kinds of fish may improve your health and make you smarter. ◼ Pregnant women that smoke tend to have low birthweight babies. ◼ Taller people tend to weigh more ◼ Animals with large brains tend to be more intelligent. ◼ The more you study for an exam, the higher the score you are likely to receive. 9
Model Types. Relationship between variables Deterministic Model: an equation that allow us to fully determine the value of the dependent variable from the values of the independent variables 口S〓R*R Probabilistic Model: a method used to capture the randomness that is part of a real-life process a Weight(Y, kg)Vs. Height (x, cm) 口 For example:18- years-ody=0.8×-69
10 Model Types… Relationship between variables ◼ Deterministic Model: an equation that allow us to fully determine the value of the dependent variable from the values of the independent variables. S =R*R ◼ Probabilistic Model: a method used to capture the randomness that is part of a real-life process. Weight(Y,kg) vs. Height (X,cm)/ For example: 18-years-old y=0.8X-69