PSY347 Final: PSY347 Advanced Research Design and Analysis Statistics FORMULAS
Probability*of*an*Event:*
! " # $ %&'()*$+,$+&-.+')/$,01+*0(2)$-+$"
-+-02$%&'()*$+,$3+//4(2)$+&-.+')/ !
!
!
Sum*of*Values*of*a*Variable:*
567# 689 6:9 6;9 <!
!
!
Mean:*
!6 # $ =>?
@! ! (sample)! !
!A # =>?
B! ! (population)!
!
!
Range:*
Range!=!highest!value-!lowest!value!
!
!
Deviation:*
!C)140-4+% # $ 67D 6! ! (sample)*
!C)140-4+% # $ 67D A! ! (population)*
*
*
Sum*of*Squares*(Sum*of*Squared*Deviations):*
!EF67D 6G:! ! (sample)!
!EF67D AG:! ! (population)!
!
!
Variance*(Sample):*
/:#EF67D 6G:
% D H !
/:#
E67:DFE67G:
%
% D H !
!
!
Variance*(Population):*
I:#EF67D AG:
J!
!
I:#
E67:DFE67G:
J
J!
!
!
Standard*Deviation*(Sample):*
/ # EF67D 6G:
% D H *
/ # $
E67:DFE67G:
%
% D H !
Standard*Deviation*(Population):*
I # EF67D AG:
J!
I #
E67:DFE67G:
J
J!
!
!
Range*Method*for*Standard*Deviation:*
/-0%C0*C$C)140-4+% # $ H
KFL4ML)/- D2+N)/-G!
!
!
Raw*Score*to*Z-score:*
!O # >P>
Q! ! (sample)!
!O # >PR
S!! ! (population)!
!
!
Z-score*to*Raw*Score:*
!6 # 6 9 O/! ! (sample)! !
!6 # $A 9 OI! ! (population)!
!
!
Pearson*r*(Sample):*
* # $ EO>OT
% D H!
* #
E6U D E6$EU
%
E6:DFE6G:
%EU:DFEUG:
%
!
!
!
Pearson*r*(Population):*
V # $ EO>OT
J!
V #
E6U D E6$EU
J
E6:DFE6G:
JEU:DFEUG:
J
!
!
!
Spearman’s*rs:*
*
Q# H D WEX7:
%F%:D HG!
!
where:!
!X7# Y>?D YT?!
!
