CHYS 2P52 Lecture Notes - Lecture 11: Standard Deviation, Statistical Hypothesis Testing
Document Summary
Pearson describes the strength and direction of the relationship. Fitting a linear function gives 3 additional pieces of information about the relationship between x and y: prediction of y by x. Identifying errors of prediction: coefficient of determination. But much more stringent data and design requirements, and still does not imply causation, can only provide suggestive evidence. A(cid:374) i(cid:374)di(cid:448)idual"s y s(cid:272)ore is predi(cid:272)ted (cid:271)y the (cid:272)orrespo(cid:374)di(cid:374)g x s(cid:272)ore, (cid:373)ultiplied (cid:271)y a number and added to another. (cid:271) is the slope a(cid:374)d tells ho(cid:449) (cid:373)u(cid:272)h the i(cid:374)di(cid:448)idual"s s(cid:272)ore (cid:272)ha(cid:374)ges (cid:449)he(cid:374) x (cid:272)ha(cid:374)ges (cid:271)y o(cid:374)e unit. A is the intercept and represents the i(cid:374)di(cid:448)idual"s y s(cid:272)ore (cid:449)he(cid:374) x is zero. The mean deviation you would expect if you ran the study an infinite number of times with samples of the same size. Formula: standard deviation divided by the square root of the number of participants. Gives a look at the data taking into account the sd and sample size.