Formulas Exam 3

Question 1

r

Answer 1

sample correlation

Question 2

m

Answer 2

the number of predictor variables in regression

Question 3

X i

Answer 3

a predictable variable in a regression. The subscript i represents any number from 1 through m

Question 4

Y

Answer 4

the outcome variable that is being predicted or explained in a regression

Question 5

Y- hat

Answer 5

the estimated outcome value as predicted by the regression equation

Question 6

b i

Answer 6

the regression coefficient for predictor X i (sometimes written as b subscript* predictor name)

Question 7

b 0

Answer 7

the intercept in the regression equation

Question 8

sigma-b i

Answer 8

the standard error of a regression coefficient

Question 9

SSy

Answer 9

the total sum of squares for the outcome of regression

Question 10

SS regression

Answer 10

the sum of squares for the outcome in a regression

Question 11

R squared

Answer 11

the proportion of variability explained by a regression

Question 12

SS total

Answer 12

the total variability in the data for ANOVA

Question 13

SS treatment

Answer 13

variability explainable by differences among groups (simple ANOVA) or measurements (repeated measures)

Question 14

SS factor

Answer 14

variability explainable by main effect of some factor

Question 15

SS A:B

Answer 15

variability explainable by interaction between factors A and B

Question 16

SS residual

Answer 16

the residual sums of squares, representing the variability that can’t be explained in regression or ANOVA

Question 17

MS effect

Answer 17

mean square for any effect we might want to test; the subscript can be regression, treatment, Factor, A:B etc

Question 18

df effect

Answer 18

degrees of freedom for SS effect and MS effect, where effect is any effect we might want to test

Question 19

MS residual

Answer 19

the residual mean square; used as an estimate of the population variance, sigma squared or sigma

Question 20

df residual

Answer 20

the degrees of freedom for SS residual and MS residual

Question 21

K

Answer 21

the number of levels of a factor (treatment) in ANOVA; written as k subscript* factor when there are multiple factors

Question 22

M i

Answer 22

The sample mean of Group i in a simple ANOVA or measurement i in a repeated- measures ANOVA (i = 1 to k)

Question 23

M s

Answer 23

the mean of all measurements from Subject s in a repeated-measures ANOVA to (s= 1 to n)

Question 24

n i

Answer 24

the number of data (e.g. subjects) in Group i

Question 25

M with line over it

Answer 25

the grand mean, i.e. the mean of all data in all groups taken together