Reference:
Moore DS, McCabe GP & Craig BA.
Introduction to the Basic Practice of Statistics
.
New York:
W.H. Freeman & Co, 5
th
edition.
STATISTICS FORMULAS
DESCRIPTIVE STATISTICS:
MEAN:
VARIANCE:
STANDARD DEVIATION:
STANDARD ERROR:
Z-SCORE:
REGRESSION LINES:
For a data set
, where (
) are the centroids (means)
of the data set,
and
is the correlation coefficient:
LEAST-SQUARES REGRESSION LINE:
+
RESIDUALS:
SSM
SSE
SST = SSM+SSE
COEFFICIENT OF DETERMINATION:
r
2
=
CORRELATION COEFFICIENT:
r =
SLOPE:
INTERCEPT:
VARIANCE:
ST DEV:
STANDARD ERROR b
1
:
SE
b1
=
STANDARD ERROR b
o
: SE
b0
=
CONFIDENCE LEVEL FOR THE INTERCEPT
:
t*SE
b0
CONFIDENCE LEVEL FOR THE SLOPE:
:
t*SE
b1
PREDICTION INTERVAL:
HYPOTHESIS TESTING
–
MEANS:
STANDARD ERROR:
MARGIN OF ERROR:
m =
or m =
CONFIDENCE INTERVAL:
C.I. =
SAMPLE SIZE FOR A GIVEN m:
ONE SAMPLE
Z-TEST:
T-TEST:
TWO SAMPLE Z-TEST:
TWO SAMPLE T-TEST:
PROPORTION:
, where X= number of successes
STANDARD ERROR:
MARGIN OF ERROR:
m =
Z-TEST, ONE-SAMPLE PROPORTION:
STD ERR, 2-SAMP PROP:
MARGIN OF ERR, 2-SAMP PROP:
m =
PLUS FOUR PROPORTIONS:
EST DIFF BTWN PROPS:
STD DEV:
POOLED PROPORTION:
POOLED STD ERR:
TWO SAMPLE Z-SCORE:
Reference:
Moore DS, McCabe GP & Craig BA.
Introduction to the Basic Practice of Statistics
.
Ne w York:
W.H. Freeman & Co, 5
th
edition.
