Ton J. Cleophas
and Aeilko
H. ZwindermanStatistical Analysis of Clinical Data on a Pocket
CalculatorStatistics on a Pocket Calculator10.1007/978-94-007-1211-9©
Springer Science+Business Media B.V. 2011
Final Remarks
Statistics is no bloodless algebra. It is a
discipline at the interface of biology and mathematics. Mathematics
is used to answer biological questions. Biological processes are
full of variations, and statistics gives no certainties, only
chances. What kind of chances: chances that your prior hypotheses
are true or untrue. The human brain hypothesizes all the time. And
we currently believe that hypotheses must be assessed with hard
data.
When it comes to statistical data analyses,
clinicians and clinical investigators soon get very nervous, and
tend to leave their data to a statistician who runs the data
through SAS of SPSS or any other software program to see if there
are significant p-values. This practice is called data dredging and
is the source of multiple type I errors of finding a difference
where there is none.
The best defense against this practice is the use
of simple tests. These tests, generally, provide the best power for
confirmative research, because this research is based on sound
arguments. Multiple variable tests are not always in place here, as
they tend to enhance the risk of power loss, data dredging, and
type I errors producing a host of irrelevant p-values. Also
multiple variable tests, although interesting, are considered
exploratory rather than confirmatory, in other words they,
generally, prove nothing, and have to be confirmed.
The current book was written for various reasons:
1.
To review the basic principles of statistical
testing which tends to be increasingly forgotten in the current
computer era.
2.
To serve as a primer for nervous investigators
who would like to perform their own data analyses but feel inexpert
to do so.
3.
To make investigators better understand what they
are doing, when analyzing clinical data.
4.
To facilitate data analysis by use of a number of
rapid pocket calculator
methods.
5.
As a primer for those who wish to master more
advanced statistical methods. More advanced methods are reviewed by
the same authors in the books “SPSS for Starters” 2010, “Statistics
Applied to Clinical Trials” fourth edition, 2009, “Statistics
Applied to Clinical Trials: Self-Assessment Book, 2002, all of them
edited by Springer, Dordrecht. These books closely fit and
complement the format and contents of the current book.
The current book is very condensed, but this
should be threshold lowering to readers. As a consequence, however,
the theoretical background of the methods described are not
sufficiently explained in the text. Extensive theoretical
information is also given in the above mentioned books from the
same authors.
Index
A
Alpha
Analysis of variance
Areas under the curve
B
Beta
Bloodless algebra
Bonferroni inequality
Bonferroni t-test
Boundaries of equivalence
C
Chi-square table
Chi-square test
Chi-square test for cross-tabs
Cohen’s kappa
Confidence intervals
Confounding
Cross-tabs
D
Data dredging
Degrees of freedom
Dependent variables, v
Diagnostic tests
Duplicate standard deviation
E
Equivalence tests
F
Frequency distribution
F-table (Fisher)
F-test (Fisher)
G
Gaussian distribution
I
Independent variables, v
Interaction
Irrelevant p-values
K
Kappa
Kappa-values
L
LnOR
Ln values
Log likelihood ratio
Log likelihood ratio tests
M
Mann Whitney tables
Mann Whitney test
Margin of inferiority
Matched groups
McNemar odds ratios
McNemar’s test
Means
Multiple regression analysis
Multiple testing
Multiple variable tests
N
Noninferiority testing
Non-parametric tests
Normal distribution
O
Odds ratios
Odds ratio test for cross-tabs
One-sample t-test
P
Paired t-test
Parallel groups
Parallel-group study
P-calculator for z-values
Pocket calculator method
Pocket calculators
Pooled SE. See Pooled standard error
Pooled standard deviation
Pooled standard error
Power
Power equations
Power index
Prior hypothesis
Propensity scores
Proportions
Proportional duplicate standard
deviation
P-values
R
Rank numbers
Regression modeling
Reliability assessment
Reproducibility
S
Sample size
Sample size and binary data
Sample size and continuous data
SAS statistical software
SD. See Standard deviation (SD)
SE. See Standard error (SE)
SEM. See Standard error of the mean
(SEM)
SEM-unit
Sensitivity of tests for cross-tabs
SE-unit
SPSS for Starters
SPSS statistical software, v
Standard deviation (SD)
Standard error (SE)
Standard error of the mean (SEM)
Subclassification
T
T-distribution
T-table
T-tests
Two-sided p-values
Type I error
Type II error
U
Unpaired t-test
V
Variability analysis
Variability test one sample
Variability test two samples
W
Weighted mean
Weighted standard error
Wilcoxon table
Wilcoxon test
Z
Z-distribution
Z-test for cross-tabs
Z-values