Statistical Reasoning in the Behavioral Sciences

520 Pages·2007·30.624 MB·English

by  Bruce M. King, Edward W. Minium

Statistical Reasoning
in the Behavioral Sciences
BRUCE M. KING
and
EDWARD W. MINIUM
_Fifth Edition
Useful Formulas
Here are some of the computing formulas that appear in the book. The reference is
to the section number where each formula is introduced and defined.
Sample Mean Sec. 4.3
Sum of Squares SSX = - X)2 = 2>2 " Sec. 5.3
Sample Standard Deviation Sec. 5.4
x- X X P-x
ar Score from a Raw Score z — - or Sec. 5.10
Sx crx
Sum of Products
of Deviation Scores 5>-X)(Y- Y) = J\XY Sec. 7.7
(Raw-Score Formula) n
!>**»•> x)(y~ y)
Pearson Correlation _
Sec. 7.6—7.7
Coefficient
" V(ssj(ssy)
O
Spearman Rank-Order
rs = 1 ~ Sec. 7.8
Correlation Coefficient n(n2 — 1)
Predicted zY from
= rzx
Sec. 8.3
the Straight Line of Best Fit
Predicted Y from the
Straight Line of Best Fit Sec. 8.4
Standard Error of Estimate (Y) SYX = SyVl — r2
Sec. 8.6
q
Binomial Expansion (P + Q)N = PN + — P^-'1 Q + N^N pN-2 2
Sec. 10.4
1 ~ 1(2)
N(N - 1 )(N - 2)
+ pN-3 Q3 + . . . + Q N
1 (2) (3)
Sec. 11.4
Standard Error of the Mean
score — mean
Sec. 12.5
General Formula for a £ Score 2T -
standard deviation
/ ssx
Estimate of the Population Sec. 12.9
% =
Standard Deviation y n 1
sx _ Sx
Estimate of the Sec. 12.9
*X =
Standard Error of the Mean \fn \/ n — 1
X
A^hyp
t Test: Hypothesis about Sec. 12.10
t =
a Single Mean 4x
^ , , _ Ahrue AGyp Abiyp^
One sample: d-or g Sec. 13.2
Effect Size
cr 5x
(AG _ A^v)true _ (AG _ AG)hyp
Sec. 14.8
Two samples: d —
cr
OHIO STATE
(X Y) y)
(/4x M hyp
or g
UNIVERSITY
SSX SSy
+
LIBRARIES
(«X _ 1) + (»Y “ 1)
or r —
t2 + df
Estimate of the Standard Error 2 2
, %
Sx
of the Difference between SX — Y - ViJvx + S% = /-1- Sec. 14.4
nx My
Two Independent Means
Estimate of the Standard Error
SSX + SSy
-(— H- T Sec. 14.4
of the Difference between Two SZ-Y
(mx ~ 1) + _ 1) \
(nY nX nY>
Independent Means (Assuming
Homogeneity ofVariance)
SSX
+ SSy
Sec. 14.4
(Same as above SX-Y
n(n — 1)
when nx — My)
Y)
(A (AO A1 y)hyp
Test Statistic: Hypothesis about the
t =
Sec. 14.4
Difference between Two Independent SSX + SSy ' 1 1
-h -
Means, t Distribution Model
(nx - 1) + («y ~ 1) nx My
Estimate of the Standard Error
Sec. 15.1
of the Difference between sx-y 2rsgSy
= -
Two Dependent Sample Means
(X Y) M hyp
t Test: Hypothesis about (fXx y)
Sec. 15.1
the Difference between Vsy + Sy — 2rSySy
Two Dependent Means
(continued on back endpapers)

Statistical Reasoning
in the Behavioral
Sciences
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Statistical Reasoning
in the Behavioral
Sciences
Fifth Edition
Bruce M. King
Edward W. Minium
BICENTENNIAL.
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King, Bruce M., Edward W. Minium
Statistical Reasoning in the Behavioral Sciences, Fifth Edition
ISBN 978-0470-13487-0
Printed in the United States of America
10 987654321
To Students Who Want to Learn
and Instructors Who Like to Teach
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